Maths-
General
Easy
Question
Evaluate: ![cube root of 3375](data:image/png;base64,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)
Hint:
By prime Factorize the given number and we find the cube root of the given number .
The correct answer is: 15
Explanation :-
3375 = 3 × 1125
= 3 × 3 × 375
= 3 ×3 × 3 × 125
= 3 × 3 × 3 × 5 × 25
= 3 × 3 × 3× 5 × 5 × 5
= ![3 cubed cross times 5 cubed equals 15 cubed](data:image/png;base64,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)
![cube root of 3375 equals cube root of left parenthesis 15 right parenthesis cubed end root equals 15](data:image/png;base64,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)
Related Questions to study
Maths-
Evaluate: ![cube root of fraction numerator left parenthesis negative 1728 right parenthesis over denominator 2744 end fraction end root](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAAtCAYAAAAjkQw8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAc1CXO0QAABA5JREFUeNrtWm9klVEYP+aamUkpWvpwk2RmZtSHzcRmpA/7MDFtKpYyk0kfkn2JyDQrYsUkSVJRaUkqzUwmM7LSSF9WEiWl2Zq61nR7Hj1Xp3fnvO/z3nvOuZt7fvy4773Pfc89v/s+f845jxDxUAZMe+bEWKgCvhMeztACfORlcIejwEGm7WFgX4Ho0kfzNY7zwGMMu2rgeIE9jM9o3kYxCtzFHLzG0sS2Ak8AX2o+5yateuAd4Bxwge63V3PPUuAAcB6YAj4GbgzYbAOOmZ4sJsyKCJsaEtwWrgE7s8j4rcBL0vVTYDtVXohK+t3tiu9eBvYCE8BiCiETCrsxEt4ISoC/aNAw9AO7HbhwHMHXkxglEXZJ4CvF+6nAdRF5RRBHTOatWuAUww7dbccyE/x+jBCXUrw3L3lCRvAPCrs64IipCbYBbzPs5sjtlovgXRTzOajThMMBenplu7MKu2KavxH0AM8w7BYdVQUcwZMUaxMM2xKyrddUXQtEjP2fQrx4wdQEB5mxeZEhlInlL8cOxWlk2K0B3gPu1Pxp14EbJM/FxDitKQONCY5Jp2EFhRSsSh4y7rOZxN6i+fyuRthGKpOthZQZYDnDbljjli4Fx6T2hpEoK6hULI2ZRHWfsZNmxpUzC4Cga60GfmcKsRzKwhYKJ1Gl4i1GfH+teforKZbL6Kb5xwL+6+8Vi5kp5vdtL3w4gt8EHoj4/gPGIg6xm0RvJM8potfTVAHlvPDBG34LvNdBKzwuxm3sK4Qk3SA+UyLMNnmr8sEkRYAUeU+LiaX9WuAFxdNxEngqxn385lWMJ2e/Zv+iI+YP6BKFsz3bT/s7sbGKNmk6FSGiQXhYQ7Dc+UmViocF4JL1uXRdrih/PAxl/szmelL6rJaRAP1pvKFTesQh8f/GvYfhujaIc4J3jumRBZ6IpWd1Q4oi38MQfoilx/0vhL0D4YLHW+AN6Ro3dmZ8SWgPQ7RRk8Em4a61jdu2kG1V0MysGrh2RnAcOCtd4+py1NHYcdoWVGgNqabK6EGKEpJrZwxJGiwh7YcM5tHjdG0LQUS1QVwEHmQIybUzCjyTbKLX2NrWLfKLFMMmrA0CQ9WIFI5EjnbG8ZFqbwS2RbTlUWxd24KMsDaIYvKQZISQXDsrGBP/NtLxlKcqT2KHtS3IISesDaIv4KHpHO2s4DTwK73mtLbZQFjbQjDR6togqhXekc7BzhqaKI5jSfglD2JHtS3IVUlYG8SE4h7pHOys4rf423w/7HhcTtsCgtMGwa3Xje/2ZYNZctcrDsXmti0IwWuD0P0JJu2MYZIG7XE4JrdtAcFpg1hRgl+lQZsdjhnHrTltECtK8D006Hbh4QTrSPAyL4U7DHkJ3GKfl8AtfDixgD/YzMV+TraAiQAAALN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXJvb3Q+PG1mcmFjPjxtcm93Pjxtbz4oPC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4xNzI4PC9tbj48bW8+KTwvbW8+PC9tcm93Pjxtbj4yNzQ0PC9tbj48L21mcmFjPjxtbj4zPC9tbj48L21yb290PjwvbWF0aD540t0UAAAAAElFTkSuQmCC)
Evaluate: ![cube root of fraction numerator left parenthesis negative 1728 right parenthesis over denominator 2744 end fraction end root](data:image/png;base64,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)
Maths-General
Maths-
In the figure above,
and BC = XZ. What additional information is required to make ABC ⩭ YXZ by RHS congruence condition?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAe0AAADoCAYAAADCDrz8AAAgAElEQVR4nOzdeVxUZfvH8c8w7AiCu6i5axYumWYuqWlZqZWWigtCgJKKu6IpmuYu5oaCooLivvZYPVqZZrlkmmXuG7kvKAqK7Mvcvz/4dZ5IKxWGw3K9X4+v19OZM+f+zjAz15wz51y3QSmlEEIIIUS+Z6F3ACGEEEI8HinaQgghRAEhRVsIIYQoIKRoCyGEEAWEFG0hhBCigJCiLYQQQhQQUrSFEEKIAkKKthBCCFFASNEWQgghCggp2kIIIUQBIUVbCCGEKCCkaAshhBAFRJ4W7cxMU14OJ4QQQhQqlnkxiEq9wdfLl/PDxWRqvu6JR5ta2Mg+vhBCCPFE8qRon9kyCa/+YcQAJc+W5K1mtXC1z4uRhRBCiMLD/Pu7d39g5tQNpJR4hsqutty7EMWd5HSzDyuEEEIUNmYu2il8GzyNdb9b09X/I3o2Lknm+bOcTUwx77BCCCFEIWTWop14dC3Tlu3G6QVvRgx/h6rlymFIOcfJa8nmHFYIIYQolMxXtJNvsDp0CftvlsVn3BCecy5OmQqVKMYNTp26Z7ZhhRBCiMLKTEXbxOW9qwlbf5CKXQMZ+mZ5wIEKFZ6hhDGTMyd+J9M8AwshhBCFlnmK9v0oVi+cyzHLV/l4bDfKGwEMPFPpGUoVh8unT3HfLAMLIYQQhZcZirbi5PY5LPjyFo3du/FS2Uxu37rFrdu3MVna4uBoRfL5E5xPy/2RhRBCiMLMoJRSublBdWcffV99nfATKZR8phYVS9hhyjSBhRFjShy/X7pCsm1zwo/vwbOSITeHFkIIIQq1XG6uksSuBZNYc9KAW5vuNKtmS0raH61LLbC0SsAqJZ5fon/n7JlEqFQsd4cXQgghCrFcLdpJR9czOWwXljU78cmypbxdwQqTth9vwGCIZWX/d+kXcZRzZy/D68/n5vBCCCFEoZZ7RTvjKpHzF7H3lpHOY8bSuWoxHj74XY7a1ctibUjl8unTpPE81rkWQAghhCjcculEtEwubA9n3prDWLr5Msr7xUcU7CxVqrhioeDa6dNcy53BhRBCiCIhl/a0M8ksUQfPkYG4vuFHE6e/X9O1RS+mTC6LqVIL/mE1IYQQQvxFrp89LoQQQgjzkFmthRBCiAJCirYQQghRQJi9aCckJJh7CCGEEKJIMHvRnjVrFj/++KO5hxFCCCEKPbMX7QMHDtCzZ092795t7qGEEEKIQs3sRdvW1pbLly/j6enJl19+ae7hhBBCiELL7EX7jyvKrl27hp+fH+vWrTP3kEIIIUShZPainZ6erv3/6OhoBg4cyKJFi8w9rBBCCFHomL1oW1pmb7oWGxvLyJEjmTFjhrmHFkIIIQoVsxdtC4v/DWFlZQVAUlIS48aNY9y4cWRkZJg7ghBCCFEo5FlzFaPRiJ+fH++88w4AmZmZTJ06lVGjRpGYmJhXMYQQQogCK8+KdmZmJvXr12fx4sVa4QaYO3cuQ4YMIS4uLq+iCCGEEAVSnrYxTUtLo3z58ixduhQPDw9teXh4OH5+fty8eTMv4wghhBAFii69x8uUKUNoaCj9+/fXlm3evBkfHx8uXbqkRyQhhBAi39NtwhBHR0fmzp3L8OHDMRqNAHz99dd4eXlx+vRpvWIJIYQQ+Zaus3zZ2NgQFBTE+PHjsbGxAWDPnj14enpy+PBhPaMJIYQQ+Y7uU3MajUYmTJjAzJkzKVasGACHDx/Gw8ODXbt26ZxOCCGEyD90L9p/GDJkCPPnz8fFxQWAs2fP4u3tzeeff65zMiGEECJ/yDdFG8DHx4fQ0FDKli0LwNWrV+nTpw8bNmzQOZkQQgihv3xVtAG6d+9OeHg4VapUAeDOnTv07duXiIgInZMJIYQQ+sp3RRugQ4cOREZGUrduXQAePHiAv78/c+fOJTMzU+d0QgghhD7yZdEGaNmyJZGRkTRt2hSAlJQUxowZw6RJk0hLS9M5nRBCCJH38m3RBnjhhReIjIykZcuWAKSmpjJt2jQCAwNJSkrSOZ0QQgiRt/J10QaoWbMma9as4Y033gAgIyODTz/9lGHDhnHv3j2d0wkhhBB5J98XbYCKFSuyevVqunXrpi1bsmQJ/fv359q1azomE0IIIfJOgSjaAKVKlSIsLAw/Pz9t2fr16/nwww85f/68jsmEEML8VEYiNy9dIjouCfXINTK4e/USV27GImf9FF4FpmgDODs7M2fOHIYOHYrBYABg+/bt+Pj4cObMGZ3TCSGE+Tz4LZyubdrQod9MDkf/9dY0fgodSKtWr+I5ZgUXpWoXWgWqaAM4ODgwe/ZsAgMDsba2BmDfvn24u7tz9OhRndMJIYR52FVtTC3DRX79/DO+/fX8n/a2Fde/nc+QiWGcfODK+316U8Nax6DCrApc0QawsLBg8uTJTJkyBScnJwCOHTtGly5d2L9/v87phBAi91m5NKCHT1tsUk+xdechYjKylide+IZxY2dxKKk6wxeGM6hFaYz6RhVmVCCL9h8CAgL49NNPKVOmDABRUVH06tWL7du365xMCCFymYUd9dt70ryUiV8+28bR6FRU8gWWBI5k1WEL3hsbwifuz+qdUphZgS7aAH379mXBggWUK1cOgMuXL+Pt7c2WLVt0TiaEELmrdO0WvP1mLUyXv2T9d8fYMW84k9afppHvOGYNb0cxvQMKsyvwRRugW7duREZGUqFCBQBu377NBx98wMqVK3VOJoQQucdgX4VXO3Sipk0C6yd44TPxSxxfHcjMSf2pZmvQO57IA4WiaAO0a9eOTZs2UbNmTQASEhLo06cPCxYsID09Xed0QgiRGyyo3/gVXqjlQNKl09wt04pxcybRylV+xS4qCk3RBmjatCkbNmzgxRdfBCA9PZ2RI0cyffp0aXsqhCgEkjny426OXU0EwK5YKVzLF9c5k8hLhapoQ1a/8rVr1/LKK68AkJaWxtSpUxk/fjyJiYk6pxNCiKd3Y384Q0aHcLXqe3Rv9gz3LnzPpg0/I3MfFh2FrmgD1KpVi3Xr1vHaa68BWYV7/vz5DB48WAq3EKJASrm6g7F+o9mbVJdxM+Ywd2wXSqbFsGf7Zo7G651O5JVCWbQBKlSowKZNm+jcuTMAmZmZRERE4OXlxd27d3VOJ4QQj08lnmJ2fz8iT9vRI3Aq/u0qU65ND96rZeTSoW/Z+eOlv2ltKgqbQlu0Iavt6fLly/Hx8cHCIuuhbtmyhd69e3Pp0iWd0wkhxGNIiWbjhEFM3naFBh7jmTCgHY4Adg3o4dEMy7hTbP3me6KldWmRUKiLNkDx4sWZM2cOgwcPxtLSEoCvvvoKT09PTp8+rXM6IYT4B+o++1dOJCD0O+xe7Mvs6QOo7fDHjZbUe8ebJs6p/PzZl/z0+309k4o8UuiLNmQV7qlTpxIYGIjRmHVpxN69e+nZsyfHjx/XOZ0QQjzard/+y7QpK7he8nVmhE6hTQWrbLe71GiD+1vVybiyn13HrpChU06Rd4pE0Qawt7fn448/Zvbs2dja2gLw22+/0alTJw4dOqRzOiGEeFip5zuz5sh17pz6gg9fKv3Q7RYOlekfcYTY2NPM6FQHSx0yirxVZIo2ZE00MmTIEEJCQihZsiQAFy5coGvXruzYsUPndEIIkZ3R2h7nkiVxcbT923UsbR1xcXGhmI2U7KKgSBXtP/j4+BASEkL58uUBuHLlCr6+vmzevFnnZEIIIcTfK5JFG8Dd3Z2IiAitX/m1a9cYMGAAy5cv1zmZEEII8WhFtmgDvPnmm2zevJkqVaoAEBMTg7+/P/PmzcNkMumcTggh/pnJZGLv3r2cO3dO7ygijxTpog3w8ssvs3XrVurVqwdAcnIyo0aNYtKkSSQnJ+ucTgghHs1kMhEWFkarVq0YPnw40dHRekcSeaDIF22A+vXrs2bNGpo3bw5kTTQybdo0xo8fT0JCgs7phBAiu/T0dGbPns3gwYNRSrFt2zYGDRpEXFyc3tGEmUnR/n9ubm5ERkbyxhtvAFlvirlz5zJ06FAePHigczohhMiSnJzMpEmTCAwMJCPjf1dmb968mYEDB8rnVSEnRftPqlevzqpVq7R+5SaTifDwcLy9vbl/X7oNCSH0lZSUxPjx45kxYwbp6ekAWsMogLVr1zJs2DBSUlL0iijMTIr2X5QuXZoVK1Y81K/c3d2dGzdu6JxOCFFUxcfHM3z4cGbPnq3tYXfo0IFz584xZMgQDAYDAOHh4Xz00UekpUkz8sJIivYjODk5MW/evGz9yr/55hs8PDyIiorSOZ0QoqiJjo5mwIABhIWFacu6dOnCqlWrqFatGlOmTMHb21u7LTg4mEmTJmU7fC4KBynaf8PR0fGhfuW7d++mV69eHD16VOd0Qoii4uLFi/Tv3581a9Zoy3x8fFi6dCkuLi4AFCtWjNmzZ9OzZ08AlFLMnDmT6dOn65JZmI8U7X9gb29PYGAgs2fP1va4Dx06RPfu3Tlw4IDO6YQQhd2FCxfw8/Nj69atABgMBq2XhLOzc7Z1nZ2dmT9/Pu+99x4AGRkZTJkyhVmzZuV5bmE+UrT/hZWVFUOGDCEsLAwHh6w58c6cOUP37t355ptvdE4nhCiszp8/T69evdi5cyeQdcJZQEAAc+bMwdHR8ZH3KVWqFMHBwbz11lsApKWlMWHCBEJCQvIstzAvKdqPycfHh/DwcG2ikStXruDt7S39yoUQue7YsWO8//77/PTTT8D/ZimcOXMm1tbW/3jfChUqMH/+fFq2bAlkXSI2btw4Vq5cafbcwvykaD+BP/qVV6xYEYCbN28ycOBAwsPDdU4mhCgs9u/fj7u7O8ePHweyDntPmTKFjz/++LG3UbNmTUJCQmjUqBEA9+7dY9SoUWzZssUsmUXekaL9hN555x3WrFlDjRo1ALh16xbDhw9nzpw5OicTQhR0u3btwsPDgzNnzgBQokQJZs2axdChQ594W25ubkRERPD8888DWZ9V/v7+bN++PVczi7wlRfsptGzZkg0bNmj9yuPj4xkzZgwTJ05EKaVzOiFEQfTVV1/Rq1cvLl26BGQV7EWLFuHr66tdg/2k6taty/Lly6lZsyaQVbj79evH7t27cy23yFtStJ9Sw4YNWbdundavPC0tjUmTJhEQECATjQghnsiWLVvo3r07t27d0pY1b96czp07P3XB/kPjxo1ZsmSJVrivXr3Khx9+KFfAFFBStHPgueeeIzw8nDfffBPIujZy9uzZjBgxgvj4eJ3TCSHyO5PJxPLly/Hx8XnoM+Prr7/O1q40J1q3bq21Z4asM9P9/f2l50QBJEU7h2rXrs2yZcvo1q2btmzRokX069ePO3fu6JhMCJGfZWRksHDhQoYNG6YV7BdffDHbpEVBQUEsX748x2OtWbOGDRs2ZFt25MgRfH19ZS7uAkaKdi6oUKECixcvpk+fPtqydevW4e3tzbVr13RMJoTIj0wmE7NmzWLs2LHaZET16tVjxYoVrFq1ildffRWAhIQERo0axeeff/7UYwUHB+Pv78/ly5cBsLOzw97eHoBffvkFT09Prl69msNHJPKMMrO3335bAQpQCxcuNPdwukpISFBDhw5VFhYW2mNu06aNOn/+vN7RhBD5REpKihozZowyGo3a50Tjxo3V77//rq1z5coVVa9ePe32UqVKqX379j3ROMnJyWrs2LHK0tJS207NmjXVoUOHVGRkpLKxsdGWv/rqq+rGjRu5/VCFGUjRzmWpqalq7NixysrKSnvczZs3V0eOHNE7mhBCZ3FxcWrQoEHaZ8MfX+wvX7780LrHjh1T1atX19arVq2aOnbs2GONc+fOHeXn55dtnKZNm6qTJ09q6wQHBys7Ozvt9g4dOqiYmJhce6zCPKRom0FmZqaaOXOmsrW11R573bp11d69e/WOJoTQSUxMjPL29lYGg0H7XHj33XfVlStX/vY+u3btUs8880y2PfKzZ8/+4zhXr15VXbp0yVawO3bsqKKiorKtl5GRoWbMmJFtj9/d3V3FxsbmyuMV5iFF24zCwsKUk5NTtm/K27Zt0zuWECKPxcTEqK5du2YrpN27d1fR0dH/et9169apEiVKaPdr3769unbt2iPXjYqKUq1atco2jpeX19+Ok5aWpiZMmJBt/V69eqnk5OQcPV5hPlK0zWz16tWqZMmS2nNQvnx5tXHjRr1jCSHyyO3bt1W7du2yFUZvb2+VkJDwWPc3mUxq3rx5ytraWru/j4+PevDgQbb1jhw5otzc3LR1jEajGjlypEpKSvrH7aelpamAgIBsRwD69Omj0tPTn/oxC/ORop0HtmzZoipWrKg9Dy4uLmrFihV6xxJCmNnFixfVK6+8or33ra2t1eDBg1VqauoTbyswMDDbSa4BAQEqMzNTKaXUjh07VNWqVbXbihUrpoKCglRGRsZjbTshIUH5+/tn2/7QoUP/teCLvCdFO498++23qlatWtpz4eDgUKSfDyEKu1OnTqmXX35Ze8/b2tqqcePGPXUhTE1NVf369cu2xz5lyhQVERGRbaegVKlSatmyZcpkMj3R9mNiYlTv3r2zfcEYP378U33BEOYjRTsP/fTTT6pRo0ba82FjY6MmT54sh6GEKGR+/fVX1aBBg2wFe8aMGTn+rfj+/fvK3d1d267BYMh2Brirq6v6/PPPn3r70dHR6v3339e2Z2dnp6ZPn56jzCJ3SdHOYydOnFAtWrTQnhMrKys1evRolZKSonc0IUQuOHjwYLZLtaysrFRoaGiufTm/efOmatOmTbY9bkDVqFFD7d+/P8fbj4mJUW+88Ua2LxwLFizIheQiN0jR1sHFixfVa6+9lu0NN3DgQBUfH693NCFEDuzatUtVqFBBe187OjqqVatW5fo4Z8+ezbYn//LLL6vjx4/n2vavXbumWrdurW3f3t5ehYeHP/Ehd5H7pI2pDqpUqcKqVavo1KmTtmzhwoUMGjSImJgYHZMJIZ7W559/jpeXF9evXwegXLlyRERE4OHhketj1apVi+XLl9O9e3f8/f1ZvXo1bm5uubb9P1ozv/zyywAkJSUxevToh/qXCx2Y+1uB7Gn/vdjYWPXBBx9k2+Pu1KlTtnaGQoj8b/Xq1crV1VV7H1eqVEn997//1TtWjh0/fjxbO1VXV1f1xRdf6B2rSJM9bR25uLgQHBzMoEGDtGVbt26lT58+nD17VsdkQojHFRYWxqBBg7hx4wYAlStXZvXq1XTo0EHnZDnn5ubGqlWrqF69OgA3btzgww8/5Pvvv9c5WdElRVtnjo6OzJ49m9GjR2M0GgHYvXs3np6eHD9+XOd0Qoi/k5mZyezZsxk6dChxcXFA1mHrzz77jJYtW+qcLvfUq1eP9evXU6lSJQBu3ryJh4cHBw8e1DlZ0SRFOx+wsrJixowZfPLJJ9qUeYcOHcLd3Z1Dhw7pnE4I8VcpKSlMmTKFsWPHkpKSAkDDhg3ZuHEjDRs21Dld7mvUqBGrV6+mQoUKAFy/fh0PDw9++eUXnZMVPVK085HAwEBmzpxJiRIlADh9+jTdu3dnx44dOicTQvwhOTmZCRMmMG3aNNLS0gBo0aIFkZGR1K9fX+d05tOyZUsWL15MuXLlAIiKisLHx4eTJ0/qnKxokaKdzwwcOJDg4GDtjXHx4kW8vLz47LPPdE4mhEhOTmbYsGHMnj1bK9ivv/46kZGRuXr2dn7VsWNHFi5ciLOzMwDHjh3D29ub33//XedkRYcU7XyoV69eLFq0CFdXVwCio6Px8fFh7dq1OicTouhKSEigb9++hIWFkZmZCcC7777L6tWrqVatmlnGNGVmkJ6eQUamepy1ychIJz0jA9Pfrp5JfPQ5Dv50mIu3E3mcrf7V+++/T2hoKDY2NgD8/PPP9O7dm+jo6KfYmnhSUrTzqU6dOrFmzRqqVq0KwP379/Hx8SEsLAyTyaRzOiGKljt37uDl5cWaNWsAMBgM9O7dm4iICMqUKZPr4z2IPsV/Fo7Hs/NbtGnzGp09B7PgPz8Rk/SIMqtSufrrdmaP7sO7b7zGa+3ewWfkLL78+RKpf14v4x675vvRpGFL3Lu/S5OX2jBm/VHSnuLjpEePHixcuBAHBwcADhw4QM+ePaXPRF4w9zVlcp12zhw6dCjbdZKWlpYqKChI5rsVIo9cvXpVdezYMVu/7379+qnY2FizjHf7t03Ku0l5BXaqZqOW6rW2r6g6ZW0VOKl2o1arK4l/WjkzVR3bHKgal0FhV1a5NWqqmjSoqZwsUZR4UY3ddFL9Mc/Xg5/mq5fKl1btJ/xHnTi+T03tUVc5VO2hdkc/XQvljIwMNWfOHOXg4KA9N++8885jzREunp4U7QLgUf3KP/roo4fm0xVC5K6oqKhs7TwBNWrUKPO1HI47qaa8X0uBo+r48Xp1/OpdlfDgjjq9d4XqXMteYVdLjdlyTv3RTDT+/FbV+RkrRfmX1fgVu9W5q9Hq+oVjauusPqq6E8qqchf11Y2s6TujVg9RVZyrq6D/73Z6cJGPKuvQRK28+PSPJSUlRX3yySfZ5vru0aOHunv3bg6fCPF3pGgXEBcvXsw2SYClpaXy9/eXwi2EmZw6dSrbrHyAmjRpklkn97m1f6lqVQZleL6f+u0vb+2Toe8rKyzUS74L1WWTUkqlqx9ntVOW2Kt2Yzeqe39eOf2smvRubQW2queyM0oppVJORKrXqrqoZzuOVGFhQarbi2VVhXafqHPxmTnKnJycrEaNGpXtSISvr6/MxW0m8pt2AVGlShU2bNigdVnKyMggJCSEfv36ce/ePZ3TCVG4/Pzzz7i7u3P48GEAbGxsmDNnDuPGjdNOwMp9ipvXL3DjNlRq3Jwa9tlvrdzuTeoaTPwedYYrtwDus/+bfWQ41ea1VxpT/M8rW9bi1aZuFDOkcPzAYZIBm+d7EbJwHM/e2cbMmeHcrOHD8pAh1HTMWRmwtbVl2rRp+Pv7YzAYUEoRHh5OQECAdoa9yD1StAuQUqVKsXbtWnr06KEtW7NmDZ6enly7dk3HZEIUHnv27OGDDz7QOhI6OjoyZ84chg0bhsFgMOPICpMykQmYHnH6t5VLNaqVhHt3Yrh3LwMyL3E6KgmLUuVwLVv2ofWrVK2IozU8uHaZmwAYqdV+OP85cIrffz/DnvXTeL1G8Yfu9zSMRiNBQUF4e3trz1FoaCgTJkwgOTk5V8YQWaRoFzBOTk4sXryYAQMGaG1Pv/zySzw9PTlz5ozO6YQo2LZv346vry+nTp0CwNnZmQULFjBgwIA8GN2CkiXLU7o4RB/8npMPst9qbWGFpTVkJieTkpoGmbeJjgEbBwccHewe2loJFxesjZB6L5b4PEhvb29PUFAQ7u7uACilmDt3brZr2kXOSdEugJycnJg5cyYjR47E0tISyOpX7uXlJf3KhXhKmzZtwtfXl6ioKCDryFZ4eDheXl55lsG1fhNaNKpIxtn19Pcbw6r/fsfePTvZtCwIP88RfBsDBgMYANKTSU7L2ss1Wj68LWtraywMBjLT00jPo/wlS5Zk/vz52s94qampzJgxg8WLF6PU01wVLv5KinYBVaxYMSZPnsykSZOwsrICsvqVd+3alSNHjuicToiCZcWKFfTr109rEFKhQgVWrlzJe++9l6c5LEs1JmDqVLo1cub4f+bi37srnd/rTr+A6Ww7k46TLVja2WFrawMWRiwtwJSZSUbmw9v6o8mK0dIKqzx8DGXKlGH58uW0bt0agMTEREaPHs3y5cvzMEXh9YjvZ6KgsLKyYsyYMRQvXpzAwEDu3bvH2bNneffdd1m1ahWtWrXSO6IQ+ZrJZCIsLIzRo0fz4EHW8egaNWoQFhZGmzZtdEhkpGwTTzbsacfB73dz5Pwt0qycqOLWlJdr3WSgW1vulyiNi4sRLBxwKgapKckkJ6UB1tm2lJiQSIZSWDuXwCmPH0Xp0qVZs2YNXbp04cCBA6SkpODv74+9vT3du3fP4zSFi+xpFwIDBgxgwYIFlC9fHoCrV6/i4eHBF198oXMyIfK3OXPmEBAQoBVsNzc3li9frlPB/hO7cjR5qwf9Bg9lcH8f3nmlDnZXDnDojiXVa9SmYgnAUIlnKhjIjI0l5u7dhzZx9ep1ktLBpWoNXPP+EeDq6kpkZCSNGjUC0Aq3zKOQM1K0CwkPDw8WLVpExYoVAbh27Rp+fn6sXr1a52RC5D8mk4kJEyYQGBhIYmIiAC+99BKrV6+mRYsWOqd7lFg+D13HZTtXmrVsjaslYFWRFxpUhLgofj19lmznaKtr7D14kvgMexo0b4KtTqlr1qxJREQE9erVAyA2NhZ/f3+++uornRIVAua+EFyaq+St77//XlWqVEl7zp2cnNTixYv1jiVEvpGWlqZGjBihjEaj9j5p3bq1Onv2rN7RlEpPVHFx91RSWqYymZRSJpPKTL2tvp7tqcoYURVbj1CH7v2vGUrU50NVBVAODb3Vf8/eUyaTSZlMaer055+oF5wtlLFqD/VdrOnvx8sjP//8s6pWrZr2fLu6uqo9e/boHatAkqJdCP3666+qdu3a2bqnzZgxQ6WmpuodTQhdJSYmqgEDBmTrcta+fXt16dIlvaNlufqd6vvKM6p0rabqvZ6eyqvne6pp7bLKEktVut57atXRbH3PlOn+eTWvt5uyAmVVxk116NpLdX2ziSprjbJyrKNGbT6j9C/ZWQ4cOKAqVKigPe+VKlVShw8f1jtWgWOcOHHiRHPuya9bt45z584B0L59e1566SVzDieA8uXL07p1a3799VeuX7+OyWTihx9+IC0tjSZNmmBtbf3vGxGikImLi2PYsGEsWbJEW9alSxdCQkKoVKmSjsn+xNqStPsxXLlymYtR57l4PRbLUtVp6z6QoHnT6FirWLbVDTYlaNCsGa7GJO7fj+HyhQtEJxip8uIbDJ42m9Gdns83ZxtXrFiRevXqsXv3buLj44mPj+f777+nZc6LLzAAACAASURBVMuWlCtXTu94BYe5vxXInrZ+zp49+1C/8gEDBqh79+79+52FKERu3rypunTpkm0P+4MPPlAxMTF6R3ukpLvX1JmTx9Sx46fV1TuP18M7PvqiOnnsqDpx9pK6n2bmgDmwdetW5erqqv0dGjRooI4ePap3rAJDinYhd/369YemFezRo4e6f/++3tGEyBOXLl1S7du3z1awBw4caL6ZusS/Wr16tXJxcdH+Hs2aNVPnz5/XO1aBIGePF3Kurq6sWbOGHj16aM38161bR48ePWTCelHonTt3Dm9vb7Zv3w6AhYUFAQEBfPrppzg6Ouqcrujq1asXM2fOxM4uq/3qjz/+iJ+fHzdv3tQ5Wf4nRbsIcHJyYsmSJfTv319re7p9+3bc3d25dOmSzumEMI9jx47xwQcfsHv3biCrrWdgYCDTp08340xd4nH17duX6dOna4V79+7d+Pr6ys7Ev5CiXUQUK1ZM61f+R9vT3bt306tXL06ePKlzOiFy108//UTv3r05cOAAkDV95JQpU5g0aZI20Y7Q3+DBgxk/frxWuL/66iv8/f25deuWzsnyLynaRUixYsWYMGECU6dO1fa4f/zxR3r06KHNGyxEQfftt9/i6enJsWPHgKwjTXPnziUgIEDnZOKvDAYDI0aMYPjw4dpn0qZNm/joo4+Ii4vTOV3+JEW7iLG1tWXEiBGEhIRol34dP36cLl26sGfPHp3TCZEz27Ztw9fXl/PnzwPg4uJCcHAw/fr10zmZ+DvW1taMHz+e/v37a8tWrlzJxIkTZS7uR5CiXQRZWFjg5+fH8uXLcXZ2BuDy5ct0795d+pWLAmvz5s14e3tz9epVAMqVK8eiRYvydGpN8XRsbGyYO3cuffr0AbLazAYHBzNx4kTS0/NqYtGCQYp2EdazZ08iIiJwdc2aTuDmzZt8+OGH0q9cFDgrV66kb9++2klMlStXZtmyZbi7u+ucTDwuo9FIcHAwvXr10pYFBQUxffp0MjIydEyWv0jRLuI6d+5MZGQkVatWBSA6OpohQ4awYMECnZMJ8XhCQkLw9/fn3r17QNZMXStWrKBDhw46JxNPys7OjgULFtCtWzdt2ZQpU5g9ezYmk0nHZPmHFG3Ba6+9xoYNG6hduzaQNRPPRx99xNSpU3VOJsTfU0oxa9YsAgICSEhIAOCFF14gIiKC1q1b65xOPC0XFxcWLlxI+/btAUhPT+eTTz5h0aJFOifLH6RoCwAaN27M5s2bady4MQBJSUlMmDCB0aNHk5qaqnM6IbLLyMhgypQpjBkzRjtZqUmTJqxcuVJ7DYuCq3Tp0ixdupRWrVoBkJyczIgRI4iMjNQ5mf6kaAuNm5sbK1eupE2bNgBkZmZqezIPHjzQOZ0QWZKSkggMDOTjjz8mMzMTgFatWrFmzRrc3Nx0Tidyi6urK5GRkTRp0gSA1NRU/P392bBhg87J9CVFW2Tz7LPPsnTpUjp16gRkHYJcsGABgwYNIjY2Vud0oqiLi4sjICCAoKAgbVnHjh1ZtWoV1atX1zGZMIfKlSsTGRlJo0aNAEhMTGTAgAFs3bpV52T6kaItHlKtWjWWLFmCp6entiwyMhIfHx/pVCR0ExMTw5AhQwgNDdWWdevWjfDw8PwztabIdbVr12bJkiXUr18fyDrnpn///lo/+aJGirZ4pNKlS7Nw4UIGDRqEwWAA4PPPP6dXr15cvnxZ53SiqImOjqZ///6sWrVKW9a7d2+WLl1KmTJldEwm8sILL7xASEiIdjQlOjqaAQMG8MMPP+icLO9J0RZ/y9HRkaCgIEaPHq31K9+1axceHh6cOnVK53SiqLhy5QpeXl5s2bIFyGp9+eGHH7JkyRKcnJx0TifySvPmzQkLC6NChQpAVkMoPz+/IteCWYq2+Ee2trZMmjSJiRMnam1P9+3bh5eXFwcPHtQ5nSjsTp06hYeHBzt27ADAysqK4cOHs2DBAmxtbXVOJ/Ja27ZtWbx4MeXKlQP+N/Xq8ePHdU6Wd6Roi39lZWXFmDFjmDNnDvb29gAcPnyY3r17s3PnTp3TicLq8OHDeHl5sXfvXiDrC+T48eOZNm2aduRHFD0dO3YkODhY+1nkxIkT+Pr6cuLECZ2T5Q0p2uKxGAwG/P39Wbx4McWLFwfg/PnzeHt785///EfndKKwOXToEF5eXtqhTzs7OyZNmsRHH32kHfERRVfXrl2ZMWOG9vPIzz//zMCBA/n99991TmZ+UrTFE+nduzfh4eHa4alr167h5+fHmjVrdE4mCos9e/bQtWtX7bwJR0dH5syZQ0BAgOxhC423tzdTp07V5uL+4YcfGDJkCDdu3NA5mXlJ0RZP7P3332fZsmVav/I7d+7g7+9PWFiYzslEQffVV1/Ro0cPrly5AkDZsmUJCQmRqTXFIw0cOJBPPvlEO/qybds2Bg0axN27d3VOZj5StMVT6dChA6tWraJu3boA3L9/n2HDhjFz5kyUUjqnEwXRhg0b8Pb21vaUqlSpwqJFi+jdu7fOyUR+FhAQwPjx4zEajQB89tlnDB48WJtAprCRoi2eWvPmzVm1ahVNmzYFsvoDjx8/nsDAQJlKTzyRlStX0r9/f615T5UqVQgLC6Nz5846JxMFwejRoxk1apT232vXrmXkyJEkJibqmMo8pGiLHKlfvz6RkZFav/L09HRmzpzJyJEjtYkchPg7SinCwsLw8/MjLi4OgOrVq7N27VratWunczpRUFhZWTFp0iQGDRqkLQsPD2fs2LGkpaXpmCz3SdEWOVazZk1WrFjB22+/DYDJZGL+/PkMHjxY+yAW4q9SU1OZM2cO/v7+2kxybm5ubNmyRTt6I8TjsrS0ZMaMGfj4+GjLgoOD+eSTTwrVkT8p2iJXVKpUifDwcHr16qUtW7ZsGf369Sv0Z3OKJ5eUlMTUqVP56KOPtJm6mjZtyoYNG7Qe00I8KXt7e+bOnUvPnj21ZdOnT2fatGk6pspdUrRFrildujQhISEMGDBAW7Zx40Z8fHw4f/68jslEfpKQkMC4ceOYMWOGtgf06quvsnr1ap577jmd04mCzsnJiYULF9KlSxcg6yeYKVOmZJsZriCToi1yVfHixZk9ezYBAQHasm+++QZvb29OnjypYzKRHyQmJjJ06FCCg4NJT08H4I033mDt2rVUq1ZN53SisHBxcSE4OJgOHToAWefafPzxxyxcuFDnZDknRVvkOltbW4KCgpg4cSI2NjYA7N+/Hw8PD3755Red0wm9xMbG4uPjQ3h4uHZI/L333mPDhg1asx4hckv58uVZsGABrVu3BrLOoRgzZgwrVqzQOVnOSNEWZjNhwgSmTZuGo6MjAL/99hs9e/YsktPpFXVXrlzB29ubjRs3AlltcT/44APCw8O1trhC5LaqVasSGhrKSy+9BGT9NBMQEKC9DgsiKdrCrIYPH868efO05v7nzp3Dw8ODzz//XOdkIq9ERUXh6+vLF198AYDRaMTf35958+bh7OysczpR2NWpU4fw8HDtBMc7d+4waNAg7fVY0EjRFmbn4+NDSEgI5cuXB7L6lffp04d169bpnEyYW1RUVLbZ4CwsLBg5ciQzZsyQPWyRZ9zc3Fi2bBnPPvssALdv32bAgAF88803Oid7coWvaGekEH8vjtjYOO4npPBvDTVVejL378USGxtHfGLq36yUwo2zP7P9s618/2sU9wvXtfp5okuXLkRERFClShUg69tu3759CQ8Pl7anhdTJkyfp1KkTP/30EwA2NjZMmjSJadOm4eDgoHM6UdQ0atSIxYsXa59B169fx9/fX5v6tcBQZvb2228rQAFq4cKFZhwpVV06/F81c5iHav1SPVXnuXqqRUdPNWXFDnXpfuYj1k9SUQc2q0/83dUrL9ZVz7u9oNp07qOCVu9S15L+vF6COrBogHJzLaNq1a2jypaqpN4KWK+i00xmfCyF1759+9Rzzz2nvSasrKzU3LlzVXp6ut7RRC768ccfVe3atbW/c/HixdXcuXP1jiWE2rZtmypfvrz22qxfv7765Zdf9I712ApJ0U5Tp7dOVS0qWimsyqtX3umhvHp2Uo0q2igort4ctUpdTvzz+knq1BfT1cuuRoWxrGry+tvq3bdaqWrFjQpKqA5jNqmb/1/nTdc/U29WclbNB61W565eUNs+6axKONZWnx5OfFQQ8RiOHDmiXn75Ze11YWlpqSZMmKCSkpL+/c4i39u5c6eqWbOm9vctWbKkWrp0qTKZ5IuuyB+2bt2qSpUqpb1GGzZsqE6dOqV3rMdSKIp25uUdyuvF4gpjVTVs9c/q5v0UlZ4Sry4fXqs6V7NQFGuoZn5zUVs/4fJu5dewmMKmrhqzep+6dueeuh8brU7tmKNerWSjsH9WTf72llJKKdORuer50mVU7+WXlFJKxWz9SFVzKaMCvo03y2MpKs6fP6/atGmTrXAPHTpUxcfL81qQbdu2TVWoUEH7u5YoUUKtX79eCrbId9avX6+KFy+uvVabNGmioqKi9I71rwpF0T67cayqaYcq0S5I3frLbQdnv6kMWKq2H61Xt01KKZWmflvvr8qCcvtwuYrO+PPaGeqr0S0VWKpX/NeqOKWUSv5NjWxRUZV59nU18pNA1bVJZVWuYX914N6jDrmLJ3H9+nX15ptvaq8PCwsL1adPHxUXF6d3NPEUNm3apJydnbW/Z6lSpdT27dv1jiXE31q+fLmys7PTXrOtW7dWV69e1TvWPyoEJ6Klcf36de4lQ7UXGlLmL7dWatmGZ8ng9JnfiYkHVBK/H9jLLSrQtm0DShr/vLaRFq82pZQhgxvnjnExA7Ctz8Tl4fR9yZoft39HYm0PItbO4OXiheCp05mrqyvr1q3T2g2aTCaWLVtGnz59uH37ts7pxOPKzMwkIiICb29vbQ7jypUrs2nTJt566y2d0wnx9z744AOCgoKws7MD4Pvvv6dfv37aFLH5kaXeAXLO8Mf/SEl5+Oxvu+KVqegAF27dIjFJgV0yF6MugXVtqpUq/tATYFu1KpWs4Oq9m9yJAcqDQ412TImUaQLNwdnZmfDwcJydnYmIiMBkMrFlyxYSExMJDg6mZs2aekcU/yAjI4OQkBA+/vhjEhISAHj22WcJDw+nWbNmOqcT4t/5+/uTlJREYGAgGRkZbNu2jUGDBrF48WJKlCihd7yHFILdRStcy1fA2Q4u/LCdX/8y57kxI4NMI6QmJ5OeboLMNO7ExINjMZzt7R7ammXJErhYQkpKPElJefQQijgnJyfmzp3L8OHDsbTM+hr19ddf4+3tzfHjx3VOJ/5OZmYmM2bMIDAwkPj4eAAaNGjA2rVrpWCLAsNgMDBixAjGjx+vLdu0aRODBg0iKR8WgUKwpw3VW7aldYMIlhxYQm936N+9NRVtUrh4bC9f/GcbBxPA2miBwQCoDFJTAaMRS4tHfGexssbKAKaMDArRFKz5XrFixZg8eTIODg5MmzaN9PR0rV95ZGQkDRo00Dui+BOlFGPGjGH+/PmkpWU1LmjUqBFr166VoyOiwDEajYwZM4bk5GRmzJgBwNq1a7GzsyM0NBRra2udE/5PoSjaluXaMHV+EMkjp/L1j6sJ3LcaCwtLbByK41qlJhVtrxPtUAxbGyNgxMoayMggNSPzoW2Z0tJIV2C0ssbKKs8fSpFma2vLxIkTKV68OOPGjSMpKYljx47RuXNn1qxZI3tv+URiYiIBAQEsWrRIW9a6dWtWrlxJpUqVdEwmxNOzsrJi/PjxJCUlsWDBApRShIeHY29vT1BQELa2tnpHBApJ0QYo1bg3K3e25+iBQ5y7cR9silPFrRFVjd/R1e170su74ugIGIw4OdlAYgL3U1Ie2o66f5/7GWBv74KjU94/DgHDhg3D0dGRwMBAbt++zaVLl+jWrRvLli3jzTff1DtekRYbG8uIESOyzZT09ttvExISIgVbFHj29vZMnDiR+Ph47TUeGhqKk5MTEyZMwCof7MkVgt+0/8SqJPVbvkXX7t3p2vktGtcsTdyvO/kt2YH6dWtSxg4w2lGpcgVIvcml23Gk/2UTiVFRXEm3oESZKri66PEgBECfPn2yFYLr16/j7e3Nhg0bdE5WdP3Rr/nPBbtHjx4sXrxYCrYoNFxcXAgKCsLd3R3IOnfj008/ZebMmTony1K4ivZfpZ5l1fyN3Ctdl7bNG+MEYGlPtfoNsOMme348y/1sv1sn88M3+4hRdlRv+DJVjY/erMgbXbp0YdmyZVSuXBmA6Oho+vfvT0REhM7Jip7bt2/j5eWV7UtTnz59WLhwIa6urjomEyL3lS5dmpCQEDp27AhkzcU9depU5syZo3MyCknv8cTb6vcLl1X0nfsqITFJJSY8ULHXjqgFvk2UAUvV7MMwdflPTVRuHVmt2pVH4dBITdt2St1/kKASH9xX57fPVC+VQlm6tlUrT0sv7Pzi4MGDqnr16trryNraWs2bN09lZGT8+51Fjl26dEm1bNlSe/6NRqMaNmyYSk5O1juaEGZ1/fp19frrr2uvfXt7exUaGqprh7/CUbRPrVWvVXNQDhXdVOt2b6k3X31ZPeNkoTAWVy92CVR7b/ylAGfcUdtneaqKdihwUvVatFWvNXdTzhYoC5faqv+yw0pKdv5y/Phx1aBBg2zd0yZOnKgSEhL0jlaonTp1SjVt2lR73m1tbdX48eNVSkqK3tGEyBPnzp1TzZs3z9aad+XKlbrlMU6cOHGiOffk161bx7lz5wDo0KEDjRs3zv1B7J1wtrcmPTme2Dt3Sci0oXqjdngOHM2kcf2pX/IvvwJY2FOzYTNeqF4SKyt4EBtLEi7Uf/Vd/AOnMrr7C9jkfkqRA2XKlKF169acOHGCy5cvo5Ri7969JCYm0rRp03xzZmdhcuTIEXx8fDh06BDwv7P7R40ahY2NvENE0VCyZEkaN27MwYMHuXnzJsnJyRw8eJBq1apRp06dvA9k7m8FHTt21L6hzJs3TymlVGpq6lP/S0lJ+dtpHFPj76jrVy+rK9duqvuPuSNgSopT169cVleu3VIJcrQ137t8+bJ66623su1xe3t7S7/yXLZ///5sU2va2Nio0NBQ+UlCFFlHjx7N9p5wdXVV33zzTZ7nMCillDm/FLRo0YL9+/cDWd9YnJ2dMZlMOdrme++9x+TJk7V+saJoiY2NpW/fvnz22Wfask6dOhEREYGLi5zyn1M7d+7E19eXK1euAODg4MCiRYvo3bu3zsmE0Nfhw4fp2rUrly5dAqBChQqsX7+eFi1a5F0Ic38r+PPvYbn1r1evXioxUeazLsoSExOVj4+PMhqN2uuibdu2+X6Gnvzus88+U+XLl882F/amTZv0jiVEvvHDDz+oihUrau+R6tWrq4MHD+bZ+Hl6yZednR1ly5aldOnST/SvTJnsc3cZjXItVlFnb29PcHAwQ4YM0VoM7tq1ix49enD27Fmd0xVMq1evZsCAAdy8eRPI2ouIiIjQZmETQkDLli0JCwujbNmyAPz+++/4+flx7NixPBk/Tzui+fj40LVr1yc+PG4wGFi7di1Lly41UzJREDk4ODB58mScnZ2ZMmUKaWlp7Nu3jx49erBs2TIaNmyod8QCY9GiRYwbN47Y2FgAqlatyrJly2jTpo3OyYTIf9q3b8+iRYvw9fUlLi6Oo0eP4uPjw7p168zfe9/cu/J/Pjy+ZMmSp97Ohg0btO14enrK4XGhSUtLUwsWLFBWVlbaa6RGjRrqwIEDekcrEIKCgpS9vb323NWuXVv99NNPescSIt9bv369srW11d47TZo0UdevXzfrmHl6ePyP2YCeRsoj+oQLAVmN/gcOHMiyZcsoVqwYAFFRUbz33nvs2LFD53T5V3p6OhMnTiQwMFCbgrBhw4asX7+eJk2a6JxOiPzP3d2d0NBQ7aTogwcP0qNHD27dumW2MQt3G1NRpHh6erJixQrKlSsHwM2bN/Hy8mLjxo06J8t/kpOTGT9+PFOmTCE9PasDf4sWLVixYoVMgyrEE/Dy8mLmzJk4ODgAsGfPHnx9fbl9+7ZZxpOiLQqV999/n4iIiGz9ygcOHCjnQ/zJH1NrBgUFkZmZNT3tm2++SXh4OHXr1tU5nRAFi4WFBf369WPs2LHaLGDbtm1j0KBB3L17N/fHy/UtCqGzt956i7Vr12onhMTExDBy5Eg+/fRTnZPpLz4+ngEDBhASEoL6/xYN77//PuHh4dSqVUvndEIUTFZWVgwfPpzRo0dryzZu3Mjw4cNJTk7O1bGkaItCqVmzZnz22WfanmN8fDxjx45l/PjxZGRk/Mu9C6c7d+7g6+vLypUrtWWenp4sWbJEZuoSIodsbW35+OOPGTp0KAaDAYCVK1cybNgw7Seo3CBFWxRabm5ubN68mVdeeQXIOvFq2rRpjBgxgoSEBJ3T5a1r167h6+vL5s2bgazLKPv168eCBQsoUaKEzumEKBysrKyYOnUqffv21Qr3kiVLGD16tHayZ05J0RaFWq1atYiIiKB9+/YAmEwmgoODGTZsGHFxcTqnyxtRUVF4e3vzxRdfaMuGDRvGrFmzcHJy0jGZEIWPvb09U6dOpWfPngAopQgNDSUoKIjU1NQcb1+Ktij0atSowZIlS+jevbu2bNmyZfTt25c7d+7omMz8jh07hoeHBzt37gSyTpqZOHEi06dP1y6PE0LkrlKlSjF79mw6deoEQGpqKp9++ikLFizI8dwbUrRFkVChQgUWL15M3759tWVbtmyhV69e3LhxQ8dk5nPo0CE8PT05ePAgkNVGePbs2UyYMEFr/SqEMI+yZcuyYsUK2rVrh8FgIDExkQkTJrBkyZIcbTdP25gKoafixYszb948nJ2dmTdvHunp6ezYsQN3d/dCd/b0nj178PPz0/qwG41GhgwZgru7O9HR0dqZ40IUNXn52jcajcyYMYOrV69y+vRpkpKSGDp0KHZ2dnh5eT3VNqVoiyLF3t6eyZMn4+DgwPTp00lNTWXfvn14enoSGhpaKPqVf/XVVwwcOJALFy5oy2xsbPjyyy/573//KwVbiDxkYWHBgwcPtP9OTU1lyJAh2Nra4u7u/sTbk6ItihwbGxsCAwNxdnbmo48+IiUlhYMHD+Ll5UVoaKh2tnlBtHnzZgYPHqzN1PWHpKQkTp48qVMqIcSf3b9/n6FDh+Lg4EDHjh2f6L55+pv2H6fA5/S+BoNBpucUOWJpacmQIUMICwvTzqA+ceIEHh4ebNu2Ted0TyciIoK+ffs+VLCFEPlPdHQ0vr6+fPfdd090P4My87GyZs2aceDAAQCee+45nnvuOa114uOysLBg7969Wi/X5s2b4+npiZ2dXY7PxBNF1x9f/rZu3apdvwxQpkwZ5s2bR48ePXRM92SUUsTExJCYmIilpRxAE6IgyMjIoESJEhQvXvyx75OnRVuIgsLFxYWgoCB8fX1zdIRICCFyk9kPj+fGxeRC5LW4uDgGDBjAtGnT5DUshMg3zH4crVu3btSpUwcLi9z7fmBhYSG/aQuzy8zM5Nq1a5w5c4b69evrHUcIIcx/eDwtLS3XJ2gwGAxyyFLkiczMTCwsLLRJ7oUQQk9mL9pCCCGEyB3SxlQIIYQoIKRoCyGEEHkoPSGGy1eiSUj7u0uWU7l9+RI37ibw1wukpWgLIYQQeSadE6tH0LbtG4xesYf4h25P4bvpvXmlTUfGLNnN/b/cKl0YhCiQMrj52w/sPnaVv35ZNxgMWBgMYFWaxq+34tlS9vpEFEI8giXFq1UkLWoVW7YdYHC3Vjg5/3FitSJ656cMnrKJa5Xep2Ontrg8dG8hRAF0g41Boxm76Sjp2Vr8WmC0NJCSlIKiBhN2fs2EttWRay2EyC8MlKvzFq/X+ZSIg/s5dTOO2s4lAEi5+T0fj1/ISVMNxgbNoksd+4feu7lWtFMf3CHmXjLKYMCAAUtbJ8qUcpTj7yL/Uwmc//UI56/dJinDEufy1ajfsC6lbfUO9k9caDdgCq5vx2EyGrU3toWlieObZxK07jdcWnak3XPlpWALkc/Yl6lOizbPszzkR74+dpN36pTAmHKLLZ9+wpqf4mkbuJSAt6s+8r2bK0X79sktBA6YwaHYFLKO1BkwWtniXK46r3bzZ5hXC5zkk0PkOybOfRNG0MJV7Dt2kVtx8aRlGrF3Lk2lOs35cMzH+LStgZXeMR/JkTot3qTOX5Y++HUJYfvPY6jelvHTRtOkvBwaFyLfsSlD/eZteSZkNjt2HCXdvQ4Xvg1hctgPOLULZM7IDjj/Tc3MhaKdxpWftrJuz2Fsa79I/cqlMGYkEXP1PPu/+pk93/3ANcNOlno9l/OhhMgtpni+mzcI34/XcCmzBM06dMW3bUNKGx9w9PutrN24jvnPvEKHZjWoWED6qiSf3YiPxzB2xlRi1IoF+DUvh/QNFCI/suRZt5dpUMPA5z/s5vDZsqwKnMk55zcInzqYes7/cIxa5VT6fbVl0PMKQxU1+rNjKvOP5Rk3VOSQNsoWVOW35+V4GCFyjSlJ/bxsgKpii7J2balm/veMSs+2Qqo6s2uz2vDtbypep4hPKuXWfjXitaoKixKq56d7VJLegYQQ/yzptJrarY6yoLrq0LmuMlhVVH5h+1Xiv9wtxz85m1JiOXokCkpWo075Mv/7DdtYnnrP16SEBUjLNZGf3Dv1BdNmruKSoRYjQpczqkPtvxxysqZ2m/fp9lp9HHXK+CRMCRdY+tFQFu68Q6tBC5gz7BUKyMEBIYouu6o0b9KIsla/s+0/p3mx12hG9mzGv/2gleOinZpwil+Pp+JQrTqVy5f60y13OHriDHdMFri1ap7TYYTIHemx7FofzjfnH/B8z3GMfLea3olyJjOObUEDmbj8Z2p1G0vI5O6UlbM/hSgAbHihgRulnQzYVXqLURN8qVns3++V49+0ky8e5th9eKZqVcqUC5Qz/QAABEdJREFUssBkMqFMKRzfGszCdYewa/whYzwb5HQYIXJF8q1TfL11N0nWDfD1aUMJvQPliInfIkfx4YyvsHylH3OChvO8o1RsIQqKuLh7JKYoXJq34/XKj3d8LMdF+9Yvv3ENcD64nqG9DmJvyuBedBS/Hj6LQ6MPWLl2Fi1Ky+XgIn+4feF79pzIwLZZG1pXK6t3nBzI5MrXU/Ecsoy7z3Rg8adTea2ytd6hhBCPLY1Tp85xNxHqNWxI8ce8wiqHX8tTOPLLCUyWDjja25By9w4xd2NJSjdgV8yG5Nun+WbHz8Sb5FdtkR9kcPfoYS4Adeo9T2mXgvtlMubIGgYOnsVxY33GzZ2P90sF+5iBEEVO5nXORl3iAcWo/2Ktx75bzj61TBf4+dfrGEu7MWjuf+jzki0ZmZmkPojh9LcrGf1xEKEBo2n46nf41nHI0VBC5JjK4M7Va2Rgg6trSexs9A70dBKu7OaTwYF8GVUKv8VLGPV2db0jCSGe1O0rnL1wiUyrujSq6/DYTZBytqd94zd+vZyKc7lnadDIleLOJShZsjSuVZ6jrWdv3mr8f+3dTUgUYRzH8e/qipYvZL5nrEHaQcskWhUT6mAehMpDyEISSSiUBOGhhOgSBBYoQYQF0imyIAupLgZCGAkRi5iRmiCLlLi+L+LL7rbT1ZciU8md/H2OM8PMc3iG38z/meeZPTDbg7N/bl2XEdkQhsHCghewEBJiMeVqfT88AzTVVtP0zsOJ63eoq8rFpM8eIlvarNvNt+FxIrKPYI9f/dDWut60Pd3d9M5CYtoB0pdX5yZGGRnzACnYUjXWJkEgxEpccgLwCZfLzawPYoNzubPf+t5xj5vNX1gA2u9WkvmgisWjTwG/n8i0QuqetuLI2LRmisgfRGSd5NGHUfxhUcRGrn4ZpHWFdk/3Z6YDYdhzC0lbtN036aK16T4vO8eJPVZNaZZK4xIMrKTaj5Jhbaf7TQttzlNU5CUsOWJmuJ+v7lD2HdxLMPba0PBdFBwvZt5iYAQMAsbK70Wi03LZm7gJjRORVQuxhhOz8+/rZBbD+MVdvypuGs8Uc+lJL4fKanDY4wED/9wEvZ1ttLz+SOj+UhoeNnLOnry2S4hsMO90L/UVJVx7MUhynoOai2Xk2OKw+qYZ6nPS2vyYwZQLvHp2mZTNbqyIyDJrD21/F7VFpdx661qxK3p3DiWnyzlfWU5RZpL+MiRBxGByoJ3bV6/Q8NyJl23EJcRg8c8wNjmPrcDBjfp6zuar34pI8Fl7aBsLjA+PMDXnW3rCUCvhEVHExsex3bwzauQ/55sZpa+rk473XQxNeYlOzuBwQT7Z6TaSdmgRUBEJTusoj4uIiMi/ZMZZLyIiIluSQltERMQkFNoiIiImodAWERExCYW2iIiISSi0RURETEKhLSIiYhIKbREREZNQaIuIiJiEQltERMQkFNoiIiIm8RP+GZjGAUCaygAAAABJRU5ErkJggg==)
In the figure above,
and BC = XZ. What additional information is required to make ABC ⩭ YXZ by RHS congruence condition?
![](data:image/png;base64,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)
Maths-General
Maths-
Find the square-root of the following numbers.
b) 25921
Find the square-root of the following numbers.
b) 25921
Maths-General
Maths-
In the figure, AF is perpendicular to BC and AF is the angle bisector of
, then state the rule used for the congruence of Δ DAF an ΔEAF.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP8AAADsCAYAAAC7SnD/AAAgAElEQVR4nO2dd1wUd/7/n7t0kKJSNAhWUCP2rtjA3lK+auLPlEtiTC5eEr2LSZTe1CRnikkul3JpXpLTi6aIBUVBRFCxYRcVO4IUQelb5vcHtxNAlLa7swvzfDz4I+zM5/Pa4GvmM595F4UgCAIyrZ78k1t56m9f8976/+LnopBajowRUEotQEZ6hLIcQpYsIT3PFlfZ+K0G2fytHjWxX69m3Z4LtPf0xElqOTJGw1JqATLScm7PzxzIsqZvZ2e0bd2wl1qQjNGQ7/ytmPLsdL7efJYFTz5KZcld2nt4SC1JxojI5m+taIv5+h/fMnjeC3RzqCC/SIN7h45Sq5IxIrL5Wympm/5F3kOBzBvmReHtHO6Wg0cHZ6llyRgR+Zm/FVJ4PpGVn/xMV/9pvPfuaW5m7KVIaENHD0eppckYEdn8rQyh9Cbf/LibP8d8Qvf21mgFSPv5OGrs6eDcRmp5MkZENn+rQsO2//yIm/8TTB/dR/ztZRsB7BzxcJLv/K0J+Zm/FZG64SN+O2/LE4F9avz+/LlMsLLFoY1s/taEbP5WgKrwOhs+i+bVFWs4dfEi568VAlB2O4ut//mYn/dfp511Md9//QXHL+VJrFbGWCjk2P6Wj6CupOB2IVhYgaDFro0z9jaWaNWVFBUVoVVYYqmESpUGe0dnHGytpJYsYwRk88vItFLkZX8rJzc3l+LiYqllyEiAbP5WjEaj4aWXXuLTTz+VWoqMBMjL/lbMzz//zNy5c2nbti3btm1j+PDhUkuSMSKy+VspeXl5jBkzhrNnzwIwbdo0YmNjUSrlxWBrQf5Lt1Lee+890fgAO3fuJDY2VkJFMsZGvvO3Qg4cOMCkSZO4e/dujd/7+fmxd+9eXFxcJFImY0zkO38ro6KigqCgoHuMD3Dy5Enef/99CVTJSIFs/lbGt99+y65du+77+UcffcSxY8eMqEhGKuRlfyvi6tWrjB49muvXr2Nvb09paWmdx02bNo3ff/8dS0s576slI9/5WxGRkZFcv34dDw8P2rZte9/j4uLi+Pe//21EZTJSIJu/lRAXF8e6detQKpXMmDGDsrIyFAoFCkVVqW4HBwcALC0t0Wq1REVFkZWVJaVkGQMjm78VcOfOHYKCgqisrGTy5Mn06NGDgoICevTogcf/inYOGzYMqLoIuLi4kJmZycqVK6WULWNgZPO3Aj755BMOHz6Mg4MDwcHB7Nu3D4ARI0bg7u4OwNChQ3FxcUGlUuHv749CoeDrr78mMTFRSukyBkQ2fwvn1KlTrFmzBoDFixfj7e0tmn/69Ono9nv79OlDv379KC0tpXv37owbN46ysjKCgoLuuzEoY97I5m/BqFQqQkNDKSgowNfXl+XLl7N7924KCwvp1KkTw4cPR61WA+Dk5MSkSZMASEtLY/ny5djZ2ZGSksLnn38u5deQMRCy+VswmzZt4pdffkGpVBIREYGLiwtbt24FwN/fH09PTzQaDQCCIDB16lQsLS1JT0+nY8eOLFq0CIDVq1dz/vx5yb6HjGGQzd9CuXXrFqGhoQiCwOzZs5k3bx55eXkkJSUBMHnyZKysrNBqtUDVKqFPnz706NGDkpISEhMTCQ4OpkuXLty6dYuwsDDxWJmWgWz+Fsq7775LRkYG7du3JyoqCqVSyZ49e8jJycHJyYmAgABUKpV4vFarxc7OjjFjxgDwyy+/4OrqSlhYGAD//e9/+f333yX5LjKGQTZ/C2T//v189tlnACxZsgQ/Pz+gKnNPEARGjRpFp06dxCU/IL7vnzVrFgDHjh0jMzOTp556iqlTp6JWqwkJCaGgoMDI30bGUMjmb2FUVlayfPlySktLGTRoEK+//joAd+/eJT4+HoDAwEAsLCxqLON15h86dCienp7cvn2bPXv2YGlpSXR0NE5OTnLiTwtDNn8L41//+heJiYlYWlqycuVKHB2ravEfOnSIS5cuYW1tzZQpU4CqTb7aqR0eHh6MGDECgG3btgEwePBgXnvtNQA+/vhjjhw5YqyvI2NAZPO3IC5fvkxMTAwAzzzzjGhygB07dqDVahk4cCA+Pj73nKu78ysUCmbMmAHAvn37uHXrFgBLly7Fz8+vRrSgjHkjm7+FIAgCkZGR3LhxA09PT0JDQ8XPysvL2blzJ1C15Le1tRXPqYuxY8fi4uJCdnY2KSkpALRr147o6GgsLCzYvn27nPjTApDN30LYvn07P/zwAwDBwcF07txZ/OzMmTOcOHECpVJZYzVQHd2dH6Bz584MGTIErVbLjh07xN/Pnj2bJ554AkC80MiYL7L5WwBFRUUEBwdTWVlJYGAgf/rTn2p8HhcXR2VlJT4+PgwaNKje8SwtLcVov/j4eEpKSoCqC0R4eDju7u5cuXKFqKgo/X8ZGaMhm78F8Mknn3DkyBHatGlDdHS0uKyHquAdXeWewMBA2rT5ow139Q2/6nd++CMI6PLly6SlpYm/9/HxYfny5QB89913D6wKJGPayOY3c6on7rz88sviTr2Oq1evsn//fhQKhXg3bwi+vr4MGDCgxsVDx6JFixg9ejTl5eUEBwfXWQ9QxvSRzW/GaDQagoODuX37Nr6+vrz11lv3HLNr1y6Ki4vp2LEj/v7+9x2r9p3f3t6e8ePHA1WPDdWjAe3t7YmJicHe3p79+/fLiT9mimx+M2bDhg1s3rwZhUJBZGQkrq6uNT7XarXiLv/48eNp3759jc/rK984ffp0oGp1cfr06RqfjRs3jueffx6oCiU+d+5cs76LjPGRzW+m3Lp1i/DwcDQaDY8++ihz5syp85i9e/cCMGnSpHvu7vUxYMAAfHx8KC0tZffu3fd8vmLFCrp3705ubi5hYWE1woVlTB/Z/GbKO++8Q0ZGBm3btiUqKgoLC4t7jtm3bx85OTm4uLiIS/ja3G/DD8DFxYVx48YBfwQJVadjx46EhISgVCrlxB8zRDa/GZKSksIXX3wBwBtvvEGfPn3qPE4XnjtixAi8vb3v+bwhVdt1cQGpqalcu3btns8XLFjA1KlT0Wq14v6DjHkgm9/M0O2wFxcXM3jwYBYvXlzncYWFheKSf8qUKfU24LzfI4G/vz/u7u4UFRWRkJBwz+eWlpbExMTg5OTE6dOnee+99xr5jWSkQja/mfHNN9+QkJCAtbU10dHRODs713ncsWPHOH/+PPb29gQEBNR5TEPu/O7u7mKOf3x8fJ3nDBgwgCVLlgDw6aefcvjw4YZ+HRkJkc1vRly+fJno6GgAMc/+fsTGxiIIAn5+fjz88MP3Pe5Bz/wASqVSjA9ISEi4bz7/kiVL6Nevn5z4Y0bI5jcjIiIiyMrKwtPTU6ywUxe6MlxQ1XqrIW23HvQmIDAwEAcHB7KyssTKv7Vp27Yt0dHRWFpasmPHDjnxxwyQzW8mbN26VTRUcHBwnRt4OjIyMkhPT8fW1pZp06bd97iGtmns3Lkzw4cPB6iR6FObGTNm8MQTT4gZhtevX2/Q+DLSIJvfDCgqKiIoKAi1Wk1AQADPPffcA4/fvn07arUaR0dHSkpKyM7OrvM4a2vrGnn898PKyoqJEycCVUv/4uLiOo9TKpWEh4fToUMHrly5Ij6iyJgmsvnNgLVr13Ls2DEcHBxYuXIlNjY29z1WrVaLUX25ubkEBgYyatQopkyZwiuvvMLatWv57bffSE1NJT09vcHP5pMmTcLKyoqzZ8+Snp5+3+N69OjB22+/DVRtTsqJPyaMIGPSpKenCy4uLgIgvPnmm/Uen5GRITg5OQlKpVLw8vISnJycBOC+PwqFQgCEzZs3P3DcsrIyYcCAAQIgBAcHP/DY0tJSwd/fXwCE4cOHC3fv3m3Ud5YxDvKd34RRqVSEhIRQWFhIr169eOONN+o9JzExkTt37uDp6UlycjJJSUmsW7eON998k9mzZ/Pwww/j6emJq6trjfTe+rC1ta2x619RUXHfY+3s7Fi5ciW2trYcOHBArCQsY2JIffWRuT/r1q0TFAqFYGFhIaxfv77e47VarfDII48IgDB//vw6j1GpVEJBQYGQmZkp7NmzR+jQoYMACLGxsfWOHxcXJyiVSsHGxkY4depUvce/+uqrAiC4ubkJZ86cqfd4GeMim99Eyc7OFnr06CEAwpw5cwS1Wl3vOdevXxc6duwoAMK6devqPb6wsFDo0qVLg81fUlIi+Pj4CIDwwQcf1Ht8VlaW0K1bNwEQ5s2bJ2g0mnrPkTEe8rLfRFm1ahUXLlzA1dWVyMjIOhN3anPw4EFu3ryJq6sro0ePrvd4lUolJuvUl/FXUlLChQsXxLTgXbt21ZvF17FjR8LDw4GqvoGbNm2qV5OM8ag/+kPG6CQnJ/Pll18CVYk7vXv3btB5uqy6QYMG0bVr10bNKQgCKpUKtVpNRUUF165dIzMzk4sXL3Ls2DHS0tK4fPky5eXlQFVy0Y0bNx4YbwDwxBNPsGHDBmJjYwkLC2P8+PH31B2QkQiplx4yNSkpKRHGjh0rAMLQoUMbvFOen58vPiasXbu2QefcunVL8Pb2FgBhyJAhgr+/v+Dr6yu4ubkJDg4Odb4Z6NKli2BnZ9fgRwtBEISjR48Kzs7OAiC8/fbbDTpHxvDI5jcx1q5dKwCCjY2NsHPnzgaft3v3bkGhUAht2rQR0tPTG3ROdfPX9dO+fXthyJAhwoIFC4Q1a9YIKSkpQl5enjB79mwBEBYsWNBgfWFhYQIgODo6CgcOHGjweTKGQ172mxAXL15k1apVQFXHHV1UXUPYunUrgiDQp0+fBybyVEeoFt47d+5cBg4ciKurK25ubnTu3BkPDw+cnZ1xcHCocd60adP4/fffSU5OJi8vr0HL+CVLlvDrr7+Snp5OcHAwsbGxWFtbN/j7yRgAqa8+MlVoNBrhmWeeEQDB29tbuHLlSoPPLSsrEwYOHCgAQnh4eIPPy8nJEby8vARASExMbPB5p0+fFhwdHQVA2LZtW4PP27x5s2BpaSkAwhdffNHg82QMg7zbbyJs27aNH374AYVCUW/iTm1OnjzJmTNnasTgNxbdRl5D6NmzJ/379wdgy5YtDT5v5syZzJ8/H4CoqCiuXr3aOJEyekU2vwmgS9zRaDR1dtypj927d1NeXo6Pj49oyoYgVFv2N6a4p1KpFLMFk5KSGlW3X5f4c+3aNaKjoxucWSijf2TzmwAffvgh6enpODo6smrVKqysrBp8rkajEe++48ePb1TIbnMICAjA1taWU6dOcebMmQaf161bN1asWAHAt99+S3x8vKEkytSDbH6JOX78OB9++CEAixcvZsiQIY06//z58xw/fhyFQsHMmTObrKOxZb0HDhxIjx490Gg0YqHQhrJw4ULGjRuHSqUiKCiIO3fuNOp8Gf0gm19CNBoNQUFBYuLOsmXLGj3Gvn37KCwsxNvbu9EXDqFar77GYmNjw+TJk4GqaL/GlO2ys7MjOjoaBwcH0tLS+Mc//tEkDTLNQza/hPz4449s3boVpVJJdHQ07dq1a/QYuqi+kSNH4ubm1mQtjb3zA0ycOBELCwuOHDnCxYsXG3Wuv78/L774IgB///vfG/XoIKMfZPNLxM2bN4mMjESr1TJnzhweffTRRo9x48YNDh48CMCsWbP0LbFeRowYQadOnWrUDGwMb7/9Nj169CA/P5/g4OB7moLIGBbZ/BKxevVqLly4gJubG+Hh4Q1K3KlNamoq2dnZtG/fnlGjRjX6/Kbu9uto27YtY8eOBape+TX2EcLDw4OIiAgUCgW//fYbP//8c6M1yDQd2fwSsHfvXr766isAli1b1uDEndroNtqGDBnSqLiA6jT3VZuumeehQ4eaVLBz3rx5zJo1C41GQ1hYGLm5uc3SI9NwZPMbmbKyMlasWEFpaSnDhw/n5ZdfbtI4RUVF4lJ7+vTp9XbkqYvm3vmhaq/B3d2dnJwcDhw40OjzLS0tiY6Opm3btpw9e1bu+GNEZPMbmS+//JLk5GRsbGyIjo7G0dGxSeMcPHiQq1evYm9vT2BgoJ5VNpzOnTszePBggCY36uzbty9Lly4F4J///GeTLiIyjUc2vxFpTuJObeLj41Gr1QwYMIAePXroS2KT0MUXpKSkkJ+f36QxXn31VQYNGsTdu3cJDg5uVLixTNOQzW8kBEEgIiKC7OxsvL29CQ0NbfJYlZWVxMXFAVXddB5Uyrs+TTqauuwHGDt2LI6OjmRmZnLs2LEmjeHi4kJUVBTW1tbEx8fz/fffN1mPTMOQzW8kYmNj+c9//gNASEgInTp1avJYR48eJSMjAwsLiwd25GkIQj29+hpC79696dOnD4IgsHXr1iaPM336dJ588klATvwxBrL5jcDt27cJDg5GpVIxefJknn766WaNl5iYSFlZGb1798bPz09PKptO9YvQrl27mrVkDw8Pp2PHjly/fp2oqCh9SZSpA9n8RuCjjz7i+PHjtGnThujo6CYv0wG0Wq14d9Utt5uKvpb98EdHn3PnznHixIkmj9O1a1cx8WfdunVi9yEZ/SOb38AcO3ZMTNz5y1/+wtChQ5s1XkZGhvhc3ZxEHn3Tt29ffH19KS8vZ/fu3c0aa+HChYwdO5aKigqCgoLu2xtQpnnI5jcgarWa4OBgioqK6N27d4M67tSHriNPUxJ56kIfz/wAbdq0Yfz48UBVSbHmhOra2tqyatUq7OzsSEtL4+OPP26WNpm6kc1vQH744Qe2bNkiJu7oat43B90u/5gxY5pdAlvfhTRmzJiBQqHg+PHjZGRkNGusUaNGiQFQa9as4fTp0/qQKFMN2fwG4ubNm0RERABVxTGbkrhTm6ysLPbt2wfA1KlTm323ro4+xho8eDBeXl4UFhaKOpvDm2++iY+PD/n5+YSEhMiJP3pGNr+BiImJ4dKlS7i5uREZGdmk8NvaJCUlkZeXVyOhxpRwd3dn5MiRAGzevLnZ43Xo0EFM/Pn111/lxB89I5vfACQmJvKvf/0LgLfeegtfX1+9jBsfH48gCIwaNQpPT89mj6fP3X4dutTigwcPkpWV1ezx5s6dy+zZs9FqtYSEhMiJP3pENr+eKS4uJigoiPLyckaOHNnkxJ3aFBUVifXuJk2a1KQU4LrQ93P/qFGjaNeuHdnZ2aSmpjZ7vOqJPxkZGbzzzjt6UCkDsvn1zpdffklKSgp2dnbExMTc0/Ciqezfv59r165ha2srls9qLoa48+veQgiCIG5ONhc/Pz/++te/AlWJP/q4qMjI5tcr58+fZ/Xq1QA899xzTJgwQW9j79y5E61Wy5AhQ+jWrZvextU3FhYWTJ06FYCEhIRGlfV+EK+99hqDBg2ipKREXFnJNA/Z/HpCq9USFhbGrVu3akSp6YOysjJxyR8QENCsCEFjMHHiROzs7Lhy5YpYZqy5ODk5ERMTg5WVFQkJCXzzzTd6Gbc1I5tfT2zevJkNGzagUCgICQnRy4acjhMnTnDq1Cm9JPJUxxDLfgAfHx/69euHSqVqdrRfdaZMmcJTTz0F/PE2RabpyObXA4WFhYSEhKDRaGr8A9UXO3bsQK1W07t3b/r27avXsfUV4VcdW1tbAgICANi+fTsqlUov4yoUCkJDQ/H09OTGjRtERUXJ7/6bgWx+PbBmzRpOnDiBo6OjuDTVFyqVSlzyBwYG6m0D0dDoSoudOXOG48eP623cLl26iI9U//73v9mxY4fexm5tyOZvJkePHuWTTz4B4PXXX2fQoEF6HT8zM5ODBw+iUCj0tsuvw5B98vr27UvPnj0pKytrUlnvB/H8888zYcIEueNPM5HN3wwqKysJDg6msLAQPz8/sQ6dPomPj6esrIxOnTqJ0XOGQJ/LfgBnZ2fGjBkDVFUZ1ueFxtbWVnyNeuTIETnxp4nI5m8GP/30E9u2bcPS0pKoqKgmddx5EFqtVlzyT5gwgbZt2+p1fDDs3X/GjBlAVVnvzMxMvY5dPYBqzZo1nDp1Sq/jtwZk8zeRrKwswsPDEQSBOXPmMHv2bL3PcfPmTfbu3QtURfXpG0O3xx4+fDgPPfRQjTLj+uStt97Cx8dHrJSkVqv1PkdLRjZ/E4mJieHy5cu4u7vrLXGnNklJSeTn59OuXTu9BgwZC3d3d0aPHg1gkIo8bm5uREVFoVQq+f333/nvf/+r9zlaMrL5m8CePXtqJO74+PjofQ5BENi+fTtQ1dTyoYceMsgcOvT9zK8bc8qUKUDV/zNDJOXo+hxqtVrCw8PJycnR+xwtFdn8jaS0tJTly5dTUVHByJEj+fOf/2yQeQoKCkhKSgKqlvyGMCcYfukfEBCAo6MjOTk54iOMPrGwsCAyMhJXV1cyMjJ499139T5HS0U2fyP57LPPSE1NxcbGRiw1ZQgOHz7M5cuXcXBwEANmzBEvLy9GjhyJIAji5qW+6dOnT43En5SUFIPM09KQzd8IMjIyxF5yL7zwAuPGjTPYXFu2bAFgwIAB9OzZ0yBzGHrZD1UpubqLV3x8vMGKcf7lL39hyJAhlJaWsmLFCjnxpwHI5m8gusSdnJycGlFmhqC4uJg9e/YAMG3aNL3l7kvFlClTsLKyIjMzk0OHDhlkDl10pY2NDXv27OHrr782yDwtCdn8DaR6//iwsDC9Ju7U5vTp05w8eRJra2uDL/kN/cwP0LNnTwYMGIBGozFoHf7JkyeLeRUrV67k8uXLBpurJSCbvwEUFBQQEhKCWq1m2rRpzJ8/36Dzbdu2DY1Gg6+vLwMHDjTYPMYwPoCdnZ14Edu1axcVFRUGm0uXUXnjxg2xgKpM3cjmbwDvv/8+p06dwtnZudkdd+qjsrKSXbt2AVV3MltbW4PNVR1DPfPrmDx5MkqlkmPHjjW7rPeD6Ny5MyEhIcAfEZgydSObvx4OHz4sxo7r2kgbkszMTI4cOYKlpWWzWnibGroKRBUVFQbPxHvmmWcIDAykoqJCbJoicy+y+R9AZWWlmDXWt29f8XWSIdm1axclJSV4enoyYsQIg84lCILRlv5OTk41dv01Go3B5rKzsyM6Opo2bdrIiT8PQDb/A1i3bh1xcXFi4o4hEmuqo9VqxWXq+PHjDT6fsZk4cSIKhYLU1FSuX79u0LlGjBghJv588MEHzWoe2lKRzX8fqreInjdvnkESd+qaU5e7ryuCaSwM/cwPVV2F3dzcKCoqIiEhweDzLVu2jJ49e1JQUEBoaKhBVxvmiGz+OhAEgZiYGK5cuYKHh4fYNcbQpKamkpubi5ubm5gQY0iMteTX4e7uLnYa2rFjh8Hnd3d3JyIiAqVSyW+//cb69esNOp+5IZu/DhISEsQgkbfffpsePXoYZV5di6thw4bh5eVllDmNeQFQKBRiarKu9ZihmTt3Lo888giCIIhBWjJVyOavRXFxMStWrKCyshJ/f38WLVpklHnz8vLEmPSZM2caZU5j3/mhqiiJo6MjN27c4MCBAwafT6lUEhMTQ7t27bhw4QKrVq0y+Jzmgmz+Wnz22WccOHBA7Lhjb29vlHmPHDnC5cuXcXJyEstfGRNjPNYAdOvWjSFDhgCwdetWo8zZu3dvli1bBlR1VEpOTjbKvKaObP5qnDt3TkwJXbhwoVE74cbGxiIIglj4sqViYWEh5vgnJSXpraNPfSxevJihQ4dSWlpKUFAQZWVlRpnXlJHN/z8EQSAkJIS8vDy6du3K8uXLjTZ3cXGxWOZqxowZRkvkMeZ7/uroug6dOXPGaK/gdIk/1tbWJCUl8dVXXxllXlNGNv//2LRpE5s2bQIgIiKCjh07Gm3uU6dOce7cuRrNLloy/fr1o1evXmi1WqMt/aEqzuDZZ58FYNWqVXovKmpuyOanarNN9x54xowZPPnkk0adf8eOHVRWVuLj40P//v2NOrcOYz3zA9jY2IhL/4SEBIMm+lRHoVAQHByMl5cXN2/eJCIiQpKVj6kgm5+q0s+nT5/GxcWF6OhovXbcqQ+1Wi3W6ps4caLREnlAmt1+HYGBgVhaWnL06FEuXrxotHm9vb0JDg4GqhJ/dEVTWiOt3vxpaWn84x//AKo67gwYMMCo8587d44TJ06gVCr12oSzoUh1ARg+fDheXl6UlZUZNMe/Lp599lkmTpyISqUiJCSk1Sb+tGrz67K+7ty5Q//+/Xn99deNrkG3492lSxcGDx5s9Pl1GHPZD1UdfXTlyOPi4owaemtjY8PKlStp06YNx44d48MPPzTa3KZEqza/rtGjtbW1URJ36kIX1Td69Gi9d/ypD6mfd6dMmYJCoeDgwYMGT/SpzdChQ1m8eDEAH330Eenp6Uad3xRotea/fv06kZGRQFXizqxZs4yu4cqVKxw+fBjAKIlDpsbo0aNxc3MjPz9fkoq7y5Yto3fv3ty+fZuQkBAqKyuNrkFKWq35o6OjuXr1Kh06dJCs3FNqaiq3bt3Cw8OD4cOHG31+qd7z66hesyA2Ntbo87dv357IyEgsLS2JjY1lw4YNRtcgJa3S/Lt27eK7774DYPny5XTr1k0SHbqd5qFDh9KpUydJNOgw9jO/junTpwN/ZDQam8cff5zHHntMTPy5efOm0TVIRaszf0lJCUFBQZSXl+Pv78+LL74oiY78/Hyxg83MmTMlM5/UjBkzBmdnZy5fvszRo0eNPr9SqSQyMhI3NzcyMzNZvXq10TVIRasz/z/+8Q8OHDiAra0tK1euNFjHnfo4ePAg165dw9HR0aDNPx6Ebskv5YWnV69e+Pn5IQiCJEt/nYY33ngDgC+++KLVJP60KvOfPXtW7LizaNEiSbLndOzYsQOtVsvAgQONVi+gLqTe8VcqleLSPzEx0WAdfepj8eLFDBs2jPLycpYvX94qOv60GvMLgkBoaCi5ubl0796dt99+WzItZWVlYgXbSZMmYWlpKZkWHVLe/QMCArC1teXMmTOcOnVKEg0ODg6sWrUKa2trkpOT+eKLLyTRYUxajfk3btzIxo0bUSgUhIWFGTVxp2Nq/ukAAB20SURBVDZHjhzh4sWLWFpaGr1WX3VMYdkPVf0Ie/TogVqtNnq0X3UCAgJ47rnnAFi9erVRw46loFWYPz8/n5CQELRarSSJO7XRJbP4+fnRu3dvSbWYAra2tmKPgm3btqFWqyXTEhQUhLe3Nzdv3iQ8PFzyxyJD0irM/+6773L27FlcXFyIiYkxauJObaqnsY4bNw4HBwfJtID0z/w6pk6dikKh4OTJkwbt6FMfXl5ehIaGArB+/XrJNiGNQYs3/8GDB8XEnSVLltCvXz9J9eiacAKSRBVWp/qyX+ql/+DBg+nSpQt37twRX4FKxVNPPcXkyZPFxJ/CwkJJ9RiKFm3+iooKgoKCKC4uZsCAASxZskRqSSQmJnL37l26d+9u9AxCU8bV1ZVRo0YB0kT7VcfGxobo6GicnJxIT09vsYk/Ldr83333HfHx8VhZWREdHY2zs7OkegRBEHP3/f39ad++veR6BEGQ/K6vQ7cSOnToENeuXZNUy9ChQ3nllVcA+PDDD1tk4k+LNf+VK1eIjo4GYP78+ZLkytfm2rVr7N+/H/gjrFXmD0aMGIG7uzvZ2dlGKetdH7rEn6KiIoKCgiTdiDQELdL8giAQHR3NtWvXeOihhwgNDUWplP6rJiUlkZ+fj5ubG/7+/lLLqYEp3P07d+4sdkE2hQo77dq1IyoqCgsLC7Zu3cqPP/4otSS9Ir0jDEB8fDzff/89UNVxp3v37hIrqkIX2DN69Gg6dOggsRrTec9fnRkzZgBVF8rbt29LrAYee+wx/u///g9BEIiMjGxRiT8tzvx3794VO+6MHTuWhQsXSi0JgIKCArE55eTJk01iJWKKjB8/Hnt7e65cucKhQ4ekloNSqSQiIgJXV1cuXrzYojr+tLh/gZ988gmHDh3C3t5e0sSd2qSkpJCVlYW9vb0Y0GIKmMp7fh2+vr70798fjUYjabRfdXr16sWbb74JwFdffUVSUpLEivRDizL/mTNnWLNmDQAvvfSSUTrdNpT4+Hi0Wi3Dhw+nc+fOUssBTOs9vw5ra2uxmaeupLkp8PLLLzN8+HDKyspYsWIFpaWlUktqNi3G/BqNhpCQEPLz8+nRo4ekiTu1KS0tFe9iAQEBWFtbS6zItJk6dSqWlpZkZGRw7NgxqeUAVR1/Vq5ciY2NDfv27ePLL7+UWlKzaTHm37hxI7/88otYnMHd3V1qSSJHjx4lIyND8kQec6FPnz707NmTsrIysY2ZKVA98WfVqlVcuHBBYkXNo0WY/9atW4SGhqLVapk1axbz5s2TWlINduzYgVqtpm/fvjz88MNSyxGpHuRjKst+ACcnJ7HAyZYtW0xqXyI4OJjOnTuTk5NDWFiYSWlrLC3C/O+99x7nzp2r8V7WVKisrCQ+Ph6ounMYq+W3uTNz5kwA0tPTJU30qY2np2eNxJ/ff/9dYkVNx+zNf+DAATFxZ+nSpfTt21diRTU5f/48R44cQaFQiP3pZOpn8ODBeHt7U1RUZHK7608//TRTp05Fo9EQHBxMQUGB1JKahFmbv6KiQtx5HTRokCQdd+pjx44dlJeX07VrV4YNGya1nBqYYpCPDnd3dzHRR5cPYSpYWVkRExODk5MTJ0+e5IMPPpBaUpMwa/N/88037N69W/xjODo6Si2pBmq1ml27dgEwYcIEyROL6sKULwC6fIx9+/aRnZ0tsZqaDBo0iFdffRWAtWvXcuTIEYkVNR6zNf/Vq1eJiYkBYMGCBSa5i56VlcW+ffsAxHfXpoSpb1aNHTsWFxcXbt26JXmOf1389a9/pW/fvty5c4fg4GCjtRrXF2Zr/oiICK5fv85DDz1EWFiY1HLqJCEhgcLCQtzc3CQrz90QTPGuD9CpUydGjBiBIAjipqkp0a5dOyIiIrCysmLbtm389NNPUktqFGZp/ri4OH744QegquZaly5dJFZ0L4IgiIk8Y8eONam4Ax1St+uqD0tLSzEUeteuXdy9e1diRffy6KOPMmfOHKDqhpSVlSWxooZjdua/c+cOISEhVFRUMH78eDHowtTIy8sTd6knTZpk8ok8pnr3nzx5MjY2Nly5csUkcvxro1AoiIiIwN3dncuXL4uPouaAaf+LrINPP/2UtLQ0HBwciI6ONpnEndocOHCA69ev4+joSEBAgNRyHoipGh/Ax8eHgQMH1tg8NTV8fHzEcPJvvvnGpKISH4RZmf/06dP8/e9/B6o67phS4k5ttm3bBsCQIUMkawTaErC1tWXChAlA1WtTU91Ue+mllxg5ciRlZWUEBQVRUlIitaR6MRvz6xJ3CgoK8PHx4a233pJa0n25c+cOe/bsAWDKlCkmFXFYHVN+3q/OtGnTUCgUnDp1SrKOPvWhSyG3tbUlJSXFLDr+mI35f/75ZzFxJyIiAg8PD6kl3ZeTJ09y+vRpbG1tTX7Jb4qx/bXp378/vr6+VFRUmOSuv47x48fzwgsvAPDOO++YVFhyXZiF+XNzcwkNDUUQBJNM3KnN1q1bEQSBXr160b9/f6nlmD1OTk7i0j8+Ph6NRiOxovuzfPlyunbtSk5ODhEREWi1Wqkl3RezML/uKtq2bVuio6NNdhkNUF5ezu7du4GqJb8p5+6by7IfEPMi9u/fz5UrVyRWc390iT8KhYL169ezefNmqSXdF5M3f2pqKv/85z8B+Nvf/oafn5/Eih7MxYsXOXLkSI131KaOKS/5dYwaNYoOHTpw9+5d8eJqqugiTjUaDUFBQSZRiLQuTNr85eXl4s7p4MGDxVhqU0a3I+3t7c3w4cOllvNAqgf5mPoFoHqUZHx8vEmvWqysrFi5ciVOTk6cOnVKLC1napi0+b/++msSEhJqZFGZMlqtlri4OAACAwNNLtHInFEoFOJKas+ePeTm5kqs6MEMGDCA1157DYCPP/7YJBN/TNb8ly5dEqOlnn76aSZPniyxovq5cuUKaWlpZpe7b+p3fR2BgYE4OTmRnZ1NcnKy1HLq5a9//St+fn7cuXOHoKAgVCqV1JJqYLLmj4yMJCsrC09PT0JCQsziH+jevXspKCjAw8PDpAOQdJjTsh/A29ubESNGAH80QDFldBvUSqWSHTt2sG7dOqkl1cAkzb9t2zaTT9ypC12LKd3mlIx+sbCwEJf+iYmJ3LlzR2JF9TNz5kyefPJJtFotUVFRXL9+XWpJIiZn/qKiIoKDg1GpVAQEBPD8889LLalB5OTkmF0TTnO66+sIDAzExsbGpMp6PwgLCwvCw8Px8PDg8uXLrFy5UmpJIiZnfl1VFAcHB2JiYrCxsZFaUoM4fPgwV69epW3btowZM0ZqOS2WPn364OfnV6PdualTPRxdV33KFDAp8x8/fpwPP/wQgD//+c/i8505oAvm6N+/Pz4+PhKraTjmdve3sbERN393795NWVmZxIoaxqJFixg1ahTl5eUEBwebRMcfkzG/SqUiNDSUgoICevbsKfZGMweqJ/LMmDHDbIykw9z0BgYGYmFhwdGjR82mcYZuJWtra0tqaiqfffaZ1JJMx/w///wzv//+OxYWFkRERODm5ia1pAZz/Phxzp8/j52dHePHj5daToMx5UCZBzFs2DC6dOlCZWWlGFdhDtRO/Dl37pykekzC/Dk5OWLiziOPPMLcuXOlltQo4uLiUKvV9OrVy+T6BjQEc7vzOzo6EhgYCFSV91Kr1RIrajhBQUF07dqV3NxcwsLCJE1SMgnzv/POO1y4cIH27dsTFRVl8iWvqlNZWSm+c9aVnDInzO2ZX4euNNr+/ftN6vVZfXTs2JHw8HCgarX722+/SaZFcpelpKTw+eefA1WJO6bUy64hnD17llOnTmFpaWlWUX1gvst+AH9/f9zc3CgsLBT3W8yF+fPnM2PGDLFATV5eniQ6JDV/9Y47Q4YMMYvEndokJCRQUlJC165dGThwoNRymoS53fUBOnTogL+/P1AVFGZOFzIrKyuio6Nxdnbm9OnTvP/++5LokNT8X375JXv27MHKyopVq1bRpk0bKeU0GkEQiI2NBWDcuHG4uLhIrKhxmJNh6kLXqCUlJcXkE31qM2DAALG93Mcff8yhQ4eMrkEy81+6dIlVq1YB8Oyzz5pN7nt1MjMzOXr0KFD1is8cMddnfqjqh+Ds7My1a9ckMU9zWbp0Kf369aO4uJgVK1ZQWVlp1PklMb8gCGKDAy8vL0JCQqSQ0WxSUlLIz8/H09PT5JpwNgZzND78UdYbEFdg5oSLiwsxMTFYWlqyc+dOvv/+e6POL4n5q7c2Cg4OxtvbWwoZzUb3D27YsGE89NBDEqtpPOa+7FcoFGIzz6SkJLNI9KnNjBkzmD9/PoDRE3+Mbn5d4k5lZSWTJk3imWeeMbYEvXDr1i1SUlKAqswtGWkYP348dnZ2nDt3zmTLej8IhUJBeHg4HTp04OrVq0RFRRltbqObf+3atRw9ehRHR0eio6OxtbU1tgS9sH//frKysnB2dmbs2LFSy2kSunx+Uy/d/SAGDBiAr68varVabJRibnTr1o0VK1YA8P333xutPLlRzX/ixAk++OADAF5++WWzfk6Oi4tDq9UyePBgunbtKrWcVou1tbUYXxEfH2+yHX3q44UXXmDs2LFi4o8xmpIazfxqtZrg4GBu375tdok7tSkpKRH7xk2dOtWkS4m3BiZOnIilpSXHjx83m0Sf2tjb2xMdHY2DgwMHDhwQK1YbEqOZf/369cTGxqJUKomKisLV1dVYU+udQ4cOcenSJWxtbc3yFWVtzHXJr2Po0KF4e3tTUlJCQkKC1HKazJgxY8TEn3fffZezZ88adD6jmD87O1vsXvL444/z+OOPG2Nag7F7924qKyvx8/OjV69eUstpMuZWw+9+uLi4iPsuW7ZsMeu3GMuXL6d79+7k5eURGhpq0I4/RjH/O++8w/nz52nfvj0RERFmvUyuvrE0YcIEk20R3trQlU7TVVQyVzp06EB4eDhKpZKNGzfyyy+/GGwug5s/OTlZ7Fj6xhtvmF3iTm1OnDjBqVOnUCgUZhvVp8PS0hIw77u+jhEjRtChQwdyc3NJTU2VWk6zmD9/PtOnT0er1YqdqQ2BpUFG/R+6XuWlpaUMHTqUV155xZDTGYU9e/ZQWlpKz549TaIJp0aj4dixY5SWljbKxAqFQgxN1mg0Jt38siF4eXkxZMgQYmNj2bx5M08++aTUkpqMhYUFMTEx7N27lzNnzvDee++JofB6RTAga9euFQDB2tpaiIuLM+RURmPSpEkCICxcuFBqKYIgCEJRUZHg5+cnWFtbC1ZWVoKlpWWDfywsLMS/z/Hjx6X+Ks3m888/FwCha9euQm5urtRymk14eLgACE5OTkJaWprexzfYsj8zM1MsU/zMM8+YRced+sjMzBQTSExpyV9eXi4mhTg4ODT4p3oH4crKStRqNSqVqt4f3bGmhr+/P87Ozly5coXDhw9LLafZvPbaa/Tv3587d+4YJPHHIMt+QRAICwsjOzsbLy8vQkNDDTGN0dmzZw+3b9+mY8eOJlVZWFf5aPXq1Y0KNd66dStLly5FpVKxYMEC7O3tG7xTHhgYyN///vcm6TUUPXv2pG/fviQnJ7Nt2zazK65SG13Hn8cee4z4+Hi+//57Fi5cqL8J9L6WEARh8+bN4pLyiy++MMQUkvDkk08KgDBnzhxBq9VKLUcQhKplv6+vrwAImzZtatS5GzduFIAm/cyePdtA36h5REdHC4Dg5+cnlJaWSi2n2Wg0GuHpp58WAMHLy0u4evWq3sbW+53/9u3bBAcHo9FomDRpEs8++6y+p5CE3NxcsVzUlClTTHKHvLFL8erHL1iwgAkTJjxw40+pVLJ+/Xri4+PFNwWmxsSJE4mIiBA7+owcOVJqSc1CqVQSHh5OfHw8165dIyoqSnx71lz0/hf88MMPSU9Px9HRkZiYmBrPleZMcnIyOTk5ODo6EhAQILUcvTNt2jQWLFhQ73EXL140WuJJU/Dz86N3794cP36chIQEszc/VCX+LF++nNdee41vv/2WuXPnMmnSpGaPq9cNv2PHjvHRRx8BsHjxYoYOHarP4SVl586daLVaRo4cabb1Bx5EQ9tHm+JGX3UcHBzE3glbt241aIScMXnxxRcZO3YsKpWKoKAgvST+6M38KpWK4OBgioqKePjhh3njjTf0NbTkFBcXi3e7wMBAk13yylSh65p08uRJzpw5I7UcvWBra8vKlSuxs7MjLS2NTz/9tNlj6s38P/30E1u2bMHS0pLIyEjat2+vr6ElJy0tjczMTKysrMx+B7k6ghnHwD+IQYMG0aVLF4qKikhOTpZajt4YPXo0L730EgBr1qzh9OnTzRpPL+bPzs4WGxE8/vjjPPbYY/oY1mSIj49Ho9EwcOBAfH19pZYjUw+urq7is/6WLVskVqNf3nrrLXr06CEm/jTnMUwv5o+JieHSpUu4ubkRERFhVh136qOiooKdO3cCEBAQICfymAmzZs0C4ODBg2bV0ac+dIk/CoWCX375hU2bNjV5rGa7NCkpia+//hqAN99806xTXOvizJkzHD9+HIVCIdaJlzF9Ro0ahaurKzk5Oezbt09qOXpl3rx5zJo1C61WS1hYWJN7FjTL/KWlpWKv8eHDh/Pyyy83ZziTZOfOnVRUVNQoEy1j+nTq1EksE6frpdhSsLKyIioqirZt23L27Fnee++9Jo3TLPN/9dVX7N27V9yJNLeOO/Wh0WjEXf6AgACcnJwkViTTUJRKpbg5u3v3boqKiiRWpF/69evH0qVLAfjss884ePBgo8dosvkvXLjA6tWrAVi0aFGLDHy5ceMGqampKJVKky3PbW1tLUYbNvYVZPXjG3qurhCLOezrzJgxAwcHB65fv94kc5g6y5YtY/jw4RQXF7N8+fJGFy9t0gtrrVZLREQEN2/eRKFQcOfOHbFMV0vBwsKCEydOcPfuXaytrdm5cydpaWkm93qsoqJC7PL63XffkZaW1qC/g4WFBSdPnhT/+8cff+T06dMPPFepVIo18k6ePElYWFgz1RuWyspKHB0dKSkpYdWqVaSkpLSof6NWVlY4ODgAVaubb7/9VnwV2CCakhCwYcOGJieEyD/yj/xjmB9XV1fh3LlzhkvsUalUJCcnM2HCBJNMbmltaLVabt++3eT3vXfv3kUQBBwdHVEqlQ1a2QiCgK2trdl1JW7paDQaEhMTGxyLohBMbR0r02hKS0ubZX6ANm3aNNj8ADY2NtjY2DRpThnTQDa/jEwrxfS3bGVkZAyCbH4ZmVbKfTf8tBWF7E/ax4UbOajUGlBaoVSAc8du+I8ejrtjy3neK867TFLSAbJvF6MVwNLaGitLC+wc29PLrx+9unZsIVdJgSunDpB69BwlFWpQKLGy/F8DFUGgorwUtaDA8+HRzB7bV1qpzUBTVsT+5ETOX8tDI4CFhRVKJQhaDWVlZQgKS7oPHMOk4b0x3y3rqr/lzoQUbuQWohaUOLs9xMhRw8i5eI6BgY/Rtf2DC+nc99+00tqJh/v1Ivm7CBa+vppiKxfaOdqw84sQRo+bzm+Hruj960iFQztPurfXEPbyQkK/2kk7NzdcHO25dS6F1xbMZM5LEWQW6LdyqjQo6NitF6rMeBYuXMjvR/Pp0MEDd3d33N1dcVDc5bOoIDYduCS10GZhYevIw7078d81b7Dojfcpc3LHw8MdV9d2WJTe4P2wN/h1/1WzNX7ZrTOEv/IEzy77AK17L+Y+s5DFLz/HUG8L/jY3gNfe34yNo1X9Az3wRaCmQHh+hLvQZfKrQonuVzkHhUHtFYL3+JeE3MomBAmYKDnHNwoeSoQ/vb+lxu/zMhKFkd4OwsD/e0vILZdInJ759d1nBBSuwob0vHs++/GdZcKG/dckUKVn7l4SpvvaCz2mvSXU/mf6w7tvCetTzfM75l3YK0zv30noFfC8cCb73gKlmz94UZjx8keCpgFjPXA1W3zxALtP5DMhcBL2//ud0rk9Hm3tybtxmaKWcDP8Hyf2xJGjdGXyqJrJO+19xhG85P9xdOOHfLElXSJ1ekQoJnFnEg49RzKsW9t7Ph456ynG9/OUQJh+yT6fxuGLpYydPJaa90CB0Y88R2BfN4mUNR1VUSZLnv5/7M7z5rvvPqaXx73p5V39/JkSMLhBj6kPPObY3t3cqGjL5EmjxN9lJGwl+WIJE2b9H14OjdZvopQQt30vjl0GM6xvx3s+7T9oGA5UsHXzdhoXPW16VGYdY+fBqwwZMwHPNv/782vvcurURbRAl979cLMz1wXxH6QnbCNH0Z6JI3UXczUXz1+gQq2gs29P2juY256VltjPIvl36jVeCo5iWCf7Oo/y7j+ZORP7NWjE+5tfqCQxPh469sHLppiM08f45dsPWLTiU8YtDOOT0D/RMuryQmX2ORLSMvAbN52udfw/dbB3wEYBOdlZlJl5aPjp1CQyigRGj/MHlQqVqpwd37zPT3szzPYZ+B6EO2zfuQ97z/709XVFpVJxJnEj321OBTNtEF2Zf5ZPv9iAtedonp0z9r7HObp1oGNbxwaNed/dfnXheeJTMvDpOpWdG/7FxaNJ/LztME8EfcJnYc/SkurZZB5L5OQtBW9PGV3n1fDu3btUCtDG0RErs97215CcuAuVlTM3Dv3Kqgu/c+5QIpsSr/LtnkUtxvwVWedIPppJG1cv/vvpOxRcPMr635L521fx2Jjpl7x2NJ6US2X0mT8FP1f9FJC97yjXDidyOEtL1Od/Z8mULlSWFDAyfCFLVy3Bu0tXIp+9/9XHvBDYt307Fc7dmTCkd51HnL9wjmKg74BB1L3YMg+Esuvs2HmQruOeIuztpbRRaLid0Zs8TSwDut/7uGOuXDyawIkcgddXvs2rs/pTWZTJ3SIYNqiH1NKaTOap05QBD/fpRQP28RvEfe5jAkm7d1Lh/DBjBlVt/lg7tOPpP72AO4X86/NvyDHvjs5/UHGDbQlH6NRvPP261GXtEnZu3Q62XZn32HizvjvmntzHvovFTJg8k64erri5e+A7aBiPPfI4Xs5Sq9MXWpK376DSqTvTA0bj6ubGQ119mPjIHPp2sJVaXJMpLy8HwNlFfwVz6jZ/ZR67dibTZUQAvVz/uM4oFBZY6P71t5CMgLzzR0k9m8+oKVNxqcPZV/b+hy9/O830P7/F5N7tjC9Qj+zfs5sCrSuTJg4TfydYd+LJ/zej5TzGlV1n257DeA0MpH9n3bdyZPbjs3C1VXDxSCrnbpVIKrEpeHfrghLIzSvU25h1mr8ocz8JJwoJmBiAQzVDJMb9wpVymPzIo7i1kL4VJ/duI0vdjpmBg+/5LD9jD8+/uALfeW/yz8iF5r3BKRSTsHMXbR4ei39PV/HXCktbnB1bjPXJPX+E/ecKGT9z5h8XcwsrnBzbUHrtIB9+sxk7O/NbAfiOe4RRntYkbI7l5n1esedcOMHZq/kNHrMO82vZtXE91ytsGdy/J5WV5dy6doEfP3iD54K+Y8RjS4l4ZUaLCHcVKm7x4w+/goMHXu3boqoo53ZeDmeOH+KbD0KZ++wyevy/aLZ8/w5ebcx0m/h/5J3ezcZdl+nWpy9u9ub88PIgtOze9G+yVdCruwcqtZrK8jIKbl3n4I7/MGfWE+S79sPb0fz+lnbuA1j9bjDqkxt4adkHZN+pdgVQl5KevJ3YlPO4tGv4Y0GNlF5VSQ5xv/3KDz/8xMU8gd4D+uLaxpri23ncLrdk/KwnmP/YFNqa34XzHm5dOMIvG//Lf36LpwQH+vTrj6uDBeUVFag14N61DzMfmc3Qnp2klto8BBXH9+1g/Y8/sCPtAi6devPEU0/zxKxAHK1bzkWgoiibuNif+fe6DVwuqMDLty/dHmqLVq3i7u1cLmScp0DjzMov/8P0vubaTUrL0bh1RL37BSWOnRk6qC/uznZUqrR06jmYqZPG4mLb8L9prXx+Aa1WqFacsfZ/tyAEAS2gVPyxidFSv6sgaEGhFDcrtVptC/ye9/79dPX6Wt53VXPt4gXy7pRh26YtXt5etLFp/GpGLuYhI9NKaWmXRBkZmQYim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppUim19GppXy/wHN0NC4/TJKcAAAAABJRU5ErkJggg==)
In the figure, AF is perpendicular to BC and AF is the angle bisector of
, then state the rule used for the congruence of Δ DAF an ΔEAF.
![](data:image/png;base64,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)
Maths-General
Maths-
Find the least number by which 85750 must be divided so that the quotient is a perfect cube?
Find the least number by which 85750 must be divided so that the quotient is a perfect cube?
Maths-General
Maths-
In the figure, ABC is an isosceles triangle with AB = AC. If D is the midpoint of BC, prove that:
(i) ΔABD⩭ ΔACD
(ii)
90°
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)
In the figure, ABC is an isosceles triangle with AB = AC. If D is the midpoint of BC, prove that:
(i) ΔABD⩭ ΔACD
(ii)
90°
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)
Maths-General
Maths-
State the property of congruence and write symbolically the congruency in the correct order.
(i) 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)
(ii) 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)
State the property of congruence and write symbolically the congruency in the correct order.
(i) 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)
(ii) 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)
Maths-General
Maths-
In the figure, ray AZ bisects
as well as
.
(i) State the three pairs of equal parts in triangles BAC and DAC.
(ii) Is ΔBAC ⩭ ΔDAC ? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.
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)
In the figure, ray AZ bisects
as well as
.
(i) State the three pairs of equal parts in triangles BAC and DAC.
(ii) Is ΔBAC ⩭ ΔDAC ? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.
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)
Maths-General
Maths-
If line segments AB and CD bisect each other at O, then using SAS congruence rule prove that ΔAOC ⩭ ΔBOD.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXkAAACfCAYAAAAcaakWAAAgAElEQVR4nO3dd1gUZ/c//rM06QgooiIKFixYAjYkdgmIBQXFBI0lDyZqFA0ae/1agvqIJlHBXh6xxYoBC8QCKqiIqKigIggoKkV6333//uDD/JyACWWXWZb7dV1cV+IOM2fY2bMzdzm3CACIYRiGUUhKQgfAMAzDyA5L8gzDMAqMJXmGYRgFxpI8wzCMAmNJnmEYRoGxJM8wDKPAWJJnGIZRYCzJMwzDKDCW5BmGYRQYS/IMwzAKjCV5hmEYBcaSPMMwjAJjSZ5hGEaBsSTPMAyjwFSquiHEJZSXm0MFRaUkUmlEOro61EiFfUcwTEMlkUi4/xYpKZFIwFiYz6tCks+hyD9P0JFTFyj80Sv6kJVPyhqNqZWFFW3btp4sWxnJPkqGYeRHZjTt3OJDIbEfSAwiIhGpauhQy/bdadhoFxrWvSUpCx0jw/nHW/HClEjymjKchjj/SGceF1HvMdNo6cqVNGeSHTVKCKIbCUl1FSfDMHIiJeQYrd+6k4Ii35FKIzVSVQZlxN2hfWvnktNXLuQT9kHoEJlP4TPE6U+wekxHEGlg1IpjeJ3Df12SnYScohxIPrcDhmEUUDEurHSCukgVU3fHfvLvGTi6yA4qRBi4OlSw6JiKPtNcU0iXdy4kr3Mx1Gf2ATqw5msy/FuDm0jHhLRl/x3EMIw8KY2nyMfPqUjFnHrbtP3kBQmJqJRKqRFZWBgLFh5TUaXNNUVvrtL2XwOo0MyJls1xrpDgGYZpmCQJ8fT4+StSbtWXerZVIpKISSIuoIdnfGjrwTBqM3wheTiaCx0m84lK7+QTLh+ji2lENuNHkHV73bqOiWEYOZUQ/5RevC6iUrpBPw0fQqokobz01/QwOolaDJtHfrsWUxddNupOnlSS5MUUGf6AQAZkaWlBzWpwF19SUkIikYhUVKo8QpNhGLlXSPHP7lFcrjLZTBlPIzsZEkpLqTA7hQzVAyjs3gn6xacnHVzzDRmqCh0rU66SLJxD7z/kEClpUGM93RoNhfL29qbw8HBycnKiwYMHU+vWrWsdKMMwAivKoth7dylX1IPcFy+k7zo24V4qSBpP7naD6Ohv+yl0xigaY8p67ORFJUlem5o11SGSvKakt2+pgHqQRjV2GBMTQ4cPH6anT5/ShQsXqGXLlmRjY0Pjx48nW1tbatq0KSkrs1G0DFPfFGUl0727cUQ9ZlGvJo15r0kgoVIxEek1psZq7AlenlTSeKZCXzqNICPKpYDDe8k/6iPv1ZK0p3TmxAmKiM+tdIcACAAREYnFYkpMTKQTJ07QuHHjqE+fPvTjjz/S+fPnKTMzU+onwzCM7GS9uU13nhN9YduXmuuXJ/Jievf0Km2YP4dOvtSh0TMmU29jdUHjZPhEKM/InypNI79lU2jebxcpU9OMBg/+ktoaqVNOShw9ePCMxG2H06+7fMi+XeUNb4cOHaIZM2ZQYWEhiUQi0tfXp7y8PCoqKiIiIjU1NWrTpg199dVX5OLiQt26dSMDAwOZnijDMLXz0Hc89Zh5itQNmlHLJvqkIpKQRFxKBXk5VKTanJxmrqLVc5yppZbQkTKfqjzJExEV59CjG+foTMB1ehSXQoVQI8OWbalHb1uy+8qOurXS+ccdL1y4kDZv3kxERBYWFuTh4UEPHz4kf39/evfuHW9bKysrGjZsGI0cOZL69evHmnMYRg6lRPjTHzfjSCyRUKm4rG6NspoWGbYwI+s+/cjSVE/gCJnKfD7Jc0Di0lISQ4lUVZRJVMXRNgUFBTRhwgS6cOECERFNmTKFdu/eTVlZWRQUFERnzpyhu3fvUnJyMte8o6GhQRYWFjRu3Diys7MjS0tL0tTUrM35MQzDNGhVSPI19+LFC3JxcaHHjx+TSCSitWvX0rJly4iorIJdXFwchYaG0tmzZ+nGjRuUk5PD/a6uri5ZWVmRvb09jRkzhjp06EBKSmz8LcMwTHXINMkTEQUFBZGbmxulpaWRjo4OHThwgFxcXHjbAKBXr17RhQsXKDAwkO7fv08ZGRnc61paWtS3b19ycXGhAQMGkIWFBRuDzzAMUwUyT/JERL///jvNnTuXAJCpqSkFBgZSly5dKt22pKSEHj9+TNeuXaNTp07Rw4cPqaCggHvd2NiYevbsSWPGjCEHBwcyNjZmbfgMUwckEgmlp6eTpqYmaWmx3tX6ok6SPBHRrFmzyMfHh4iIbG1tyd/f/19H1EgkErp//z75+/tTcHAw3bt3j8RiMfe6oaEh2dvbk6OjIw0cOJBMTExkeg4M01BlZmaSr68v+fj4UN++fWnXrl3UuHHjf/9FRnB1luTT09PJ1dWVrl69SkRE06dPpx07dpCqatXmP2dmZtKTJ0/o/PnzFBAQQHFxcdyQTCIiMzMzsrW1JVdXV+rbty81adKERFXtJWYYplISiYQCAwNp/fr1FB4ezv37Dz/8QL6+vgJGxlRVnSV5IqKHDx+Si4sLxcXFkbKyMm3ZsoXmzp1b7f3k5+dTSEgIBQYG0uXLl+n58+e819u2bUvDhw8ne3t7Gjx4MHu0ZJgaiImJoV9++YVOnDhBRUVFJBKJSCQSkUQiIWVlZfLx8aHp06cLHSbzL+o0yRMRnT17liZNmkT5+fmkr69PJ0+epGHDhtVoXxKJhNLS0igiIoJOnjxJoaGhlJiYSKWlpURUNiSzdevWNGLECHJycqKuXbuyR0yG+RdZWVm0Z88e+vXXXyk5OZmIiJo0aUIeHh5kbGxMnp6elJubS82aNaNjx47R4MGDBY6Y+Ud1tjzJJ9atWwciAhGhffv2ePXqlVT2++7dOxw9ehSTJk1C06ZNuWMQEVRVVdGzZ08sXboU4eHhKCkpkcoxGUaRBAYGom/fvtznRllZGU5OToiIiOC2WbJkCfe6tbU1EhMTBYyY+TeCJPnCwkJMmjSJu1CGDx+OzMxMqe1fLBYjKSkJBw8exKhRo9C8eXNewtfU1ESvXr3g5eWFyMhI5OXlSe3YDFMfxcTEYOrUqVBXV+c+J126dMGxY8dQWFjI2zY/Px9jxozhtnNxcUFBQYFAkTP/RpAkDwCJiYno3bs3d6H8/PPPEIvFUj+ORCLB06dP4ePjAwcHB2hoaPASvra2Nuzs7LB582a8ePFCJjEwjLzKy8vD5s2b0apVK+4zoaenhyVLluD9+/ef/b3ExER06dKF+51Vq1bVYdRMdQiW5AHg1q1bMDY2BhFBTU0NBw4ckOnxSktLERsbCy8vLwwZMgS6urq8hK+rq4vhw4djz549iI2N/fcdMkw9VVJSgosXL1Zomhk9ejTu379fpX1cv34dzZo1AxFBS0sLfn5+Mo6aqQlBkzwAHDp0CEpKSiAiNGnSBOHh4XVy3Ly8PNy9excbNmyAtbU17zGViNCyZUuMHTsWhw4dwrt379gdPqMwXr16hWnTpkFHR4e73jt16oTDhw9Xu69q586daNSoEYgIZmZmVf6CYOqO4EkeABYvXsxdbD169EBSUlKdHr+kpARhYWFYtGgRevXqBVVVVV7Cb9q0KaZOnYrjx48jJSWlTmNjGGnJzMzE1q1beX1UjRs3xuLFi/Hu3bsa73f27Nnc/vr164fU1FQpRs3Ullwk+Y8fP8LJyYm7UL7++mvk5uYKEkt6ejquX7+OuXPnokOHDlBTU+ON0GnXrh2+++47XLx4EampqZBIJHUS1/Xr1/Ho0SMUFRXVyfEYxVFaWorg4GDY2tpCWVmZa5oZOXKkVJ6cs7OzMXToUO5zMm3aNPbkK0fkIskDZb37nTt35i6UtWvXCh0SsrOz4e/vj5kzZ8Lc3Jx3d09E6NChA3766SdcvnwZOTk5MosjMjISZmZmUFZWxsyZM5GRkSGzYzGK5eXLl/j++++hoqLCXbcdO3bE//73vwqjZmrj2bNn6NChA4gISkpK2Lx5s9T2zdSO3CR5AAgKCoKenh6ICOrq6jh9+rTQIXFSUlJw7tw5uLm5wdTUlPehUVdXR9euXbFw4UKEhYUhKytLasctLS3lPQ5PmzZNavtmFFdmZiZ+++23CqNmFi5ciOTkZJkc8/z589DX1wcRwcDAABcuXJDJcZjqkaskDwDbt2/ndX4+evRI6JAqKB+D//XXX3MXdfmPmpoa+vXrh1WrViEiIqLWj63h4eHcsM9mzZohISGhwjb79u2Dn58fsrOza3UsRjEEBwdj0KBBvOvS0dGxTgY1/PLLL9xACgsLCzZKTQ7IXZIvLi7GrFmzuIuzf//+ctvZWVJSgsTERPj6+sLR0ZEbTvbpGPx+/frB29sbDx8+rPaEEYlEghEjRnD727RpU4Vtbt26hRYtWoCIYGdnh7dv30rr9Jh65vnz5/j++++hqanJa5o5dOhQnU1WEovFmDx5Mnd8Ozs7dvMhMLlL8kBZeYLBgwdzF8qMGTOk2n4oC2KxGNHR0fj9998xdOjQCpOu9PX1MXz4cPz666+Ij4+vUoftqVOnuI7fHj16VBi1UFRUhKlTp3LH8PT0lNXpMXIsLy8P27dvR5s2bXizun/++ec6H6kGAB8+fOCNv587d26dx8D8/+QyyQPAw4cPeRfttm3bhA6pykpLS/HkyROsW7cO/fv3h5aWVoVJV05OTjh48CBevHhRacJPT09Hnz59QEQQiUQ4fPhwhW2CgoK4vgFzc3O5feJhPu/169e1qv0SFBSEAQMG8EaADR8+vM7mm3zOvXv30Lp1axARGjVqBF9fX0HjacjkNskDwLlz57g7WW1tbVy5ckXokKotNzcXYWFhWLNmDbp3715hDH6rVq0wfvx4HD9+nDeN/LfffuO2cXBwqPDIW1JSgoEDB3Lb7Nixo65PjamlP/74Ax07dkSvXr2qXaQvPj4eM2fO5N1AmJub48CBAzId6VUd//vf/7imI2NjY4SEhAgdUoMk10keKOvIKb+I27dvj5iYGKFDqrHCwkLcuHEDnp6e6N69OzdmufynRYsW+OGHH+Dj48PVBdHT08PFixcr7Gvv3r0QiUTcBBRpjuhhZK+oqIjX32Jra1ulUS8FBQXYvn07d5dcPqFp3rx5tZrQJCvLly/n4uzatasgzUcNndwn+dzcXF7FylGjRiE9PV3osGotNTUVQUFBmD17NszMzHiTrj796devHzIyMnhNOikpKejWrRv3eH7mzBkBz4SpqaSkJN7T2PDhwz/b5FZaWopr167x+qqUlJRgZ2eHmzdvorS0tI6jr5qCggKMHTuWi9nZ2ZlVrKxjcp/kgbKKd7169eIulAULFijUjLqsrCycOnUK33//PUxMTHhJXiQScWPwr169CgBYu3Yt9/q4cePYh6Yee/nyJe/aHjt2bIWy24mJiZg1axa0tbW57dq1a4fdu3fLbXL/1OvXr/HFF19wsS9fvlzokBqUepHkAeDOnTvcQiBKSkrYv3+/0CFJnUQiwciRI3kjcsrHHBMRdHR0YGlpyVXuNDIyYu2cCuDJkyewtLTk3ueJEyeisLAQOTk58PHxgZmZGa9pxsPDo94t1PHXX39xQ4y1tbVx7NgxoUNqMOpNkgeAI0eOcB2XhoaGuHXrltAhSVVgYCAaN24MorIFG65cuYLDhw/DxcWlQllkorKqnRs2bMDDhw/rrIYOIxsPHjxA27ZtuZsYFxcX2Nvb877khw0bhhs3bggdao35+vpy/VAmJiaIiooSOqQGoV4lebFYzKtYaW1tLbWlA4WWlZUFR0dH7ty8vb2514qLi5GQkABPT89K2+11dHQwcOBA7NixA9HR0Wxpw3oqPDycN2y4/KdDhw7YvXu3QjTLeXh4cOfVp08fVrGyDtSrJA+U1eQYNWoUd6G4ubkJVrFSmvz8/LjRMj179qy0CJmLiwt33hMmTMDgwYMrdNg2adIEI0eOxM6dO/H69WsBzoSpieLiYuzZswempqa897Nr16548eKF0OFJTWZmJr766ivu/KZOncoqq8pYvUvyQNmiBx07duQulDVr1ggdUq2kp6dzHVMqKio4efJkhW2OHz/OzaLt2bMnkpOTIZFIEBUVhVWrVsHGxqbCpCsDAwO4uLjAz8+vyrNsmbolFosRGhqKIUOGcF/yIpGIW4hDTU0Nv/76q9BhSlV0dDQsLCxAVFbyuLJyHYz01MskDwBXr17l2qkbNWokVxUrq2vLli28YXR/HzmUmprKFZxSUlLC7t27K+wjJycHISEhWL58OTp37sy7w1dSUoKZmRnc3Nxw6tQppKenK9TopPoqOTkZHh4evBWazMzMsGfPHuzfv593ffv4+AgdrlSdP3+eGy2kp6eHgIAAoUNSWPU2yQPAjh07eB05ERERQodUbW/evOFGDWloaOD27dsVttm5cyeXBIYMGfKvMxqLiooQFBQEDw8PWFpacneIn86ynTlzJs6fP4+0tDRZnRrzGTk5Odi3bx+v/V1DQwOzZ8/mNbHt2bOHezrT0dHBwYMHBYxa+jZv3sz7cnv+/LnQISmkep3ki4qKMHPmTO5CGTx4cL2r35KdnY3jx49j0KBBWLBgAYqLi3mvv3nzBp06dQJRWd366tbofv/+PS5dugR3d3e0adOGN8tWTU0NXbp0wezZs3Hjxo0K47MZ6bt58yYcHBy4mkPKysoYNGgQrl27Vun23t7e3Humr6+vUBPfSkpKMGXKFO56tLOzYwviyEC9TvIAkJaWxqud7e7uXi9Hl5SUlFQa97Jly3gTn2ojLS0NJ06cwOTJk9GyZcsKozh69OiBZcuW4caNGxW+bJjaSUxMhKenJ68MsKmpKXbu3PmvAwc+nfymr69faZmL+urNmzewtbXlzm/u3Ln1YoJXfVLvkzwAPH36lDcqoT5VrPwn79+/R/v27UFUVrlSWuOKy+vgHz16FE5OTmjevDlvPLa2tjasra2xdu1aREZGIi8vTyrHbYjy8/Oxb98+bmm88qaXGTNmID4+vkr7KCkpweLFi7lmNxMTk8/e+ddH4eHh3ApWqqqq2LVrl9AhKRSFSPJAWcXK8o4cXV1dhbjbKSkpQXh4OObPn4/ffvtNZk8oL1++hK+vL0aNGsXrBCQiaGlpYciQIdi0aROePn3KRuhUw+3bt+Hg4MD7ew4YMABXr16t9t8xPz+ft5hO+/bt8fTpUxlFXveOHTvGNUsZGBjg5s2bQoekMBQmyQPAhg0buLudTp06KcyHQCwW18lomOLiYjx//hxbt27FoEGDYGBgwCUVkUiExo0bY9iwYdi1axdiYmLY+ObPSExMxPz583mzlFu3bo3t27fXak5HXl4eJk+eDENDQ6xdu1bhVlz6tGKlpaUlm+chJQqV5PPz8+Hm5sZdKCNGjFC4D0JdEYvFuHv3Lry8vGBjY1OhDr6RkRGcnZ2xZ88euSxxK4SioiIcPHiQ6ygvH/74ww8/SG1mdk5OjsKWA8jJyYGzszP3t3NxcWGfXylQqCQPlC0daG1tzV0obEm82issLERERASWLFmCPn36VDrL1s3NDSdOnKh3hbOk5datW3B0dOSeJJWUlNC/f/8aNc00ZC9fvkSPHj24a2vFihXs71dLCpfkAeDu3btcpUYVFRUcOHBA6JAUxsePH3H9+nUsXLgQFhYWFRY+adeuHaZMmQJ/f398/PhR6HBl7v3791iwYAEMDQ25v4GJiQl+++03hSi3IYRr165xhfoaNWqE48ePCx1SvaaQSR4oW3qsvAxA8+bNWUleGcjLy8OlS5cwc+ZMdOzYkTdCh4jQpk0bzJ07FwEBAQq3clV508yno2a0tbXh7u6OhIQEocOr93bv3s39XZs1a4bIyEihQ6q3FDbJSyQSLFq0iLtQevfu3WCbEmRNIpHg7du3uHDhAqZMmYKWLVtyk33KZ3N27doVnp6euHXrVr1uZxWLxbh37x4cHR15zVZffvklLl++zMZ4S0lJSQmvYqWNjQ3evHkjdFj1ksImeaDsTvPTdTRdXV3Zh7AOfPjwAf/73/8wceJErtms/EdZWRnW1tZYtWoVwsLC6tUInffv32PhwoW8YaampqbYunUrm0sgA2lpabC3t+f+1t99951ClFuuawqd5AEgISEBnTt35i6U1atXCx1Sg1FaWor4+HgcPHgQjo6O3MpA5T+6urqwsbGBl5cXHj9+LLeJMi8vD35+flzlxPKnE3d3d8TGxgodnkJ7/Pgxt5gKEeG///2v0CHVOwqf5IGypceaNGnCtZtWVsqXkb1nz57h999/x/Dhw6Gurs5L+BoaGnBwcIC3t7dcJc6IiAg4OTnxOphtbGxw6dIloUNrMAICArjrRUNDQyEmOtalBpHkAWD79u1cG6q5uXm9rFipKAoKChATEwMvLy8MGDCAG0lR/mNgYAAHBwfs378fL168EKQs8ps3b7BkyRJebKampvD29la4TuT64NOKlebm5oiOjhY6pHqjwST50tJSzJgxg7tQBg4c2CCG+Mm7goIChIeHY926dbC2tq4wJLNFixZwdXXFwYMH8eHDB5nHU1JSgqNHj/IW1lZVVcW0adMQExMj8+MzlcvPz8e0adO498TBwYEtHVhFDSbJA2XrqH5asfI///kPWzxDjhQUFCAsLAwLFiyAlZUVr0lHSUkJRkZGmDp1Ks6cOYPk5GSpH//+/fsYPXo090UjEolga2vLmgfkRHJyMvr168ddEx4eHvWy4mxda1BJHihbeqy8I0dZWRlbt24VOiSmEhkZGbhy5Qp++uknmJub8+7wVVRUYGFhAXd3d1y6dAmZmZm1mhX5/v17LF++nFerp1mzZtiyZQtbVEXOREREcB34n1sljeFrcEkeAM6ePQs9PT0QEQwNDdnSY3IuOzsb58+fx/Tp09GuXTtec055RcYFCxbgypUr1Vr4pLi4GMeOHeONvmrUqBGmTZvGVimSYydOnODWwNXT08P169eFDkmuNcgkDwDr16/nZmh26dIFL168EDokpgqSkpJw5swZuLm5oXnz5rw7fHV1dVhZWWHRokW4d+/eP5YVuH//PpydnblrQCQSoWfPnrh48WK9GrvfEEkkEqxYsYJ733v06ME+v/+gwSZ5sVjMq1hpb28vt+O0mcq9ffsW+/fvh6urK692THlTXL9+/bBu3TrcvXuXa85JTU2ttGlm48aN/7p2LiM/srOz4eLiwipWVkGDTfJAWcXKPn36cBfKTz/9JHRITA0UFRUhLi4Ou3fvhr29PbcwevlP48aNMXDgQHh4ePAqHGppaWHSpElyNS6fqbr4+HjeKKgVK1YIHZJcatBJHuAvPaauro69e/cKHRJTCxKJBE+ePIG3tzfs7e0rrHT1aeLftm0bG11Vz4WGhnJzGZSVlVnFykoor169ejU1YCYmJmRoaEiXL1+mwsJCioiIoD59+pCpqanQoTE1IBKJqGnTpmRjY0MDBw6k5ORkio6OrrCdWCymqKgoCg0NJYlEQtra2qSrq0tKSkoCRM3UlKmpKRkaGtLFixdJLBZTWFgY2drakomJidChyY0Gn+SJiLp37045OTl069YtysnJoaioKBo9ejTp6OgIHRpTAwDo9OnTNHv2bLpy5QoREamqqtLEiRNp7NixlJmZSe/evaPs7GyKjY2lM2fO0JkzZygyMpJKSkrI2NiYNDU1BT4Lpqq6d+9OHz9+pDt37lBOTg49e/aMHBwc2Oe3nNCPEvKisLAQTk5O3OP8+PHjWcW7eigqKgrjx4/nlTru2bMn/P39uQqkubm5CA0Nxdy5c9GtW7cKSxuamJjA3d0dFy5cYEsb1hMZGRmws7Pj3sMpU6awUVL/hyX5T7x8+RLdunXjhtSxipX1x8ePH7F69WpeaWMjIyOsX78e6enpn/29Dx8+IDAwELNnz4apqSlv4RMlJSV06dIFM2fORHBwMFvpSc7FxsbCzMyMVaz8G5bk/yY4OJgbnaGtrY0TJ04IHRLzD4qKinD69Gl0796d+3CrqanBzc0NT548qda+srKycOrUKUyZMgXm5ua8u3uRSIROnTphyZIluHr1KhtuK6cCAwO5znZNTU34+/sLHZLgWJKvxPbt27lJNq1bt8ajR4+EDompxJMnT+Dq6gpNTU0uGfft2xfz5s1DRkZGjfdbWlqK169f4+TJkxg3bhyaNWvGLdBd/uXfq1cvrFixApGRkSzhy5nNmzdzT2QWFhZ4/Pix0CEJiiX5z5g1axavfnhtkgYjXWlpaVi3bh309fW596hJkyZYt27dPzbN1FRSUhJ27dqFsWPH8iZR0f9VqOzfvz82btyIyMhItvKYHCgsLMTUqVN5Ex0b8ueXJfnPSE9Px7Bhw7gLxd3dHcXFxUKH1aAVFxfj3LlzsLKy4u7U1NTUMGHCBDx8+PBff19cXICPH1KQnJSE5DcpyMgpRHXKmpWUlCAmJgY7duzAoEGDKiR8AwMDDBo0CDt27EBMTAy7XgT04cMH9O3bl1exsqFiSf4fPHr0CO3bt+cmWnh7ewsdUoP15MkTTJw4kdds0r17d5w9e/Zfy81KClIQdGgjvnMeBqsuHdC6VSuYmrXDF7bDMeeXw4hOrf7dt1gsxoMHD7Bp0yYMHDiwwggdfX19ODk5wdfXF69fv67paTO18ODBA7Ro0YLrRN+1a5fQIQmCJfl/cfbsWWhra3MfXLbsW91KTU3Fhg0bYGRkxCXQpk2bYs2aNVUqA5z+NBAzh7RHIzVddB/2DVZu8cWR48ewe+squNq2gYgInUYvRUQt1p/Iy8vDgwcPsHLlSvTq1Yu7Xso7bJs1awYXFxecOHECCQkJbJZtHTp27Bi0tLS46+avv/4SOqQ6x5J8FWzYsIH70LZr1w5xcXFCh6TwxGIx/P39ebWFRCIRXF1dq9Q0AwC5r4LxXS8jkJIZfjpwExl/bz3JeoQFA5qCqAU8DtypVtPN5+Tl5eHatWtYunQpOnfuzHvyICKYmZlhypQpOHnyJFtGsI4sW7aM+/tbWVkhPj5e6JDqFEvyVVBcXKYQSFIAABeGSURBVIxvv/2Wt/RYdeqWM9Xz6NEjTJw4kVuTl/6vnOypU6eqvhJQSToOzO4DIi1M2HYDn2uQido6GkQi2C06Cml32ebl5SE4OBgzZ86EpaUlryyysrIyWrVqhR9//BGBgYF1srRhQ5Wfnw9nZ2fubz927NgGNdGRJfkqSkpK4nXkeHp6spEUUpaZmQkvLy+uHbW8iWzNmjV4//59tfb18clh9NMgNLKaiYj3n/9ieL5rAohEGLbYD7JcA+r9+/e4cOEC3N3d0apVK94dvqqqKrp16wYPDw/cuHGDTbqSgaSkJF7FyuXLlwsdUp1hSb4abt++jebNm3OjOljFSuk5f/48evXqxVuhycXFpfpzFCSZAPIRvtkRRMpw/H/n8E/PXFcW2YBID1N+C0JhbU6gGtLS0nD8+HG4ublxFVA/nWXbrVs3rFq1CiEhIQ3qjlPWQkJCuKUDNTQ0cOTIEaFDqhMsyVfT4cOHubooTZo0wa1bt4QOqV579uwZvv32W96i3ZaWljh58iTy8/Orv8PCR4D4KXxcTUHUGktOPviHjV9iUT8DkF43bL2SVONzqCmxWIy4uDgcOXIETk5OMDQ05JVV0NHRQd++fbF27Vo8fvyYJXwp8PX15ZYObNOmDe7evSt0SDLHknwNLF68mPsgduvWDcnJyUKHVO/k5ubCy8uLezIqH/2wbNmyWk1cEaeGAJkXsWKAIUizK7wvvfrstu+vrIeZGqHVoHmIlINFoeLj47F9+3aMHDmSW4O4/EddXR1DhgzBli1bEB0dXauFy6siISEBKSkpMj2GECQSCTw8PLi/a79+/RS+P4Ql+RrIysrC2LFjuQvF1dW1QS0dFxcXV+MKf0VFRQgICEDv3r15bdJjx47F/fv3a528JFl3gfzb2DTcGEStsfSPyu/kSz/cheeQNiAlEyw9LV+jpQoKCvD06VNs27YNX375JbcoxqdfhnZ2dvD19cXLly+lXm0xPz8fEydOhLGxMTw9PZGUVPdPObKUk5PDm+g4ZcoUhe5fY0m+hp4/f87ryFmzZo3QIclceceooaEhVq1aVe3x3s+fP8fkyZOhoaHBa5rx8/OTXpCSjwDyELbVGcpEMHf8GeHv+B2vHx5fwBz7TlAiHYxeeRbyPpDx3r17WLduHWxtbXkjdMpn2bq6umLfvn14+/atVI539uxZbnJXx44dFfJJNTY2lpvoKBKJsHHjRqFDkhmW5GshODiYq5+irq6OkydPCh2STN28eZMb+aKmpoaNGzdW6c47IyMDW7Zs4TXNNGnSBMuWLav2qJmqKvkYjfVfW0FTmaDVohPsnd0wdcokjBr8BZrpaaNpWxss2PUXMuvRDVxubi7u3buHRYsWwcrKivdlqaSkhObNm+Obb77BqVOnanz3nZ2dDVtbW26fBw4cqLBNVFQUwsLC6v0ooD///JMrTaGvr49z584JHZJMsCRfSzt27OA+aC1atKjyRJ36ys/Pj6v6qK6ujp07d/7j9pcuXYKNjQ0vGY0ePRp37tyReawl2e9w69xerJg3Ha7OThjjPB7TZv6MrQfO43HSR6lMfhJKVlYWgoODsWDBAnTo0IF3d09EaNu2Ldzd3XHu3DlkZ2dXeb+7du3i9jFgwIAK9Xeys7Nhb28PIsLIkSMRFRUl7VOrUxs3buSejjp27IiYmBihQ5I6luRrqaSkBLNnz+Y+GLa2tgrZYfWpPXv2cCMU1NTUcPjw4QrbxMbGYurUqdx25Z3Ufn5+ghTuEotLUaqg5QQyMzNx6dIluLu7w8LCgldHR1lZGebm5pg7dy6CgoL+sVM7JSWFW3RDVVUVwcHBFbY5dOgQN8bfyspKZk9idUUsFmPatGnc32vo0KEKNxOZJXkpeP/+PYYOHcpdKNOnT1f44W7e3t7cjFRdXV2cOnUKQFmTwpYtW9CyZUvu76Gnp4fFixdLrc2Y+bw3b97gzJkzmDZtGoyMjHhDMhs1agQrKyvMnz8fYWFhFa7RhQsXcttOnToVhYX8mQOpqamwsrLivgSOHz9el6cmM6mpqbynzTlz5ggdklSxJC8ljx494q0mpOgVK8ViMdavX8/NGWjZsiV++eUXDBgwgNdsMGbMGNy7d0/ocBuk1NRUHDp0CBMmTOB96Zbf4VtbW2Pt2rWIjIzEtWvX0Lp1a+69vH37doX9bdq0ift9R0dHAc5IdiIjI7mnGDU1NezYsUPokKSGJXkp8vf35yb1aGtrK3zFSrFYjBUrVlQowlXevnnkyBGFf6KpD8RiMV68eIEDBw7A0dGxQh18Q0NDmJiYcP9fWe31hIQEbv1cDQ0NhIeHC3AmsuXn58dVEDU2Nsb169eFDkkqWJKXso0bN/I6v549eyZ0SDKTnZ2Nbdu28QqJERFcXFwa9Eo88u758+fw9vaGg4MDV4a3/EckEmHAgAHYvn07b43cGTNm8JozFHVc+cqVK3nDexMTE4UOqdZYkpeyvLw8TJ48mbtQhg8fXqW65/XN5cuXMWDAAK7NV1lZmftva2vrBr+uZn2Qn5+PyMjICvVzyn+MjIwwevRoLF26lLvTb9++vUKveVxYWAgXFxdec2N9fxplSV4GkpKSeDM658+frzB3Pi9fvsT06dN5d+8dO3bErl27MH78eO7fevbsyeru1wMnT57k+lWsrKywZMkS9O7dm/u3v/+MGDFCJuvoypPExER88cUX3DkvXbpU6JBqhSV5Gbl79y5X8U5JSQn79u0TOqRayc7Oxq+//sp1zpXPtlywYAE3ZDQ9PR2Ojo7c6zY2NgrxuKuoUlNTYW1tzT2JnThxAkDZe33r1i3Mnz+fN4GtvFPSxMQEkydPhr+/P968eSPzOjpCuHbtGtcHoaWlJd1Z2XWMJXkZ8vPz4+6IDAwMcPPmTaFDqpGrV69i4MCBvA+7g4MDwsLCKmz77t07DBo0iNvOzs6ODZ2UU5+Olhk9enSFGaxFRUXo168fr/nm0052JSUlWFhYYMaMGQgMDKz3M2D/bteuXdycAxMTE0RGRgodUo2wJC9DYrGYt/TYF198Ua+aMF68eIHvv/+eVwa4Q4cOOHjw4D8WxXr16hVv3LGTk5PCP+LXN7GxsbCwsABR2ZT+K1euVNhm586d3Hs4ePBgJCcn488//8TUqVPRrl27CkMyO3TogJ9//hnXrl3Dx48fBTgr6Zs7dy53jr1790Zqai0WAxYIS/IylpmZCScnJ+5C+eabb+S+YmVeXh5+//13btwwUVlt8/nz5+PNmzdV2seTJ094Bdy+/vrret+BpUgWLVrEvTeTJ0+u8HpycjI6derETaIKCAjgvZ6YmIgTJ05g4sSJaNKkSYUmnd69e2PJkiWIiIioMKmqPsnKyuLKOJT/raRd9VPWWJKvA3FxcejcuTN3oaxatUrokColkUgQFBTEa5pRVlaGvb19jcZFP3r0iKv0R0T4z3/+I4Oomep6+PAhN3TSwMAAz58/r7DN8uXLufdt0qRJn03UEokEKSkp2Lt3L5ydnWFkZMRL+CoqKujbty+8vLxw586dalculQfPnj3jvvCUlZXh5eUldEjVwpJ8Hbl+/Tq3EISamprcVax8/fo1ZsyYwVuson379ti3b1+t7sBv3boFc3NzmJmZ4fjx4wrZSVffjB49mnuPV69eXeH1qKgotGnTBkSEZs2aISQkpEr7LSoqQkxMDHbv3g07Ozvo6enx2vD19fUxaNAgbNmyBbGxsfXqjtjf35/7bDRu3Bh//vmn0CFVGUvydcjHx4ereNeiRQu5mO6fn5+P7du3w9TUlPsw6unpYd68eVLrMH306BFev34tlX0xtVNQUID//ve/6N69O6ysrBAfH897vbS0FLNmzeKuhdmzZ9foOBKJBE+fPsWmTZswdOjQCpOutLW1MXLkSPj6+uLFixfSODWZ27JlCxd/mzZt6k3FSpbk61BRURF+/PFH7kIZOHBgldu4pa2kpAQhISEYNGgQb0y0vb09QkND2R23gktNTUVycnKF9/n27dvcHIjmzZtLZVWo3NxcREZGYv369ejZsydXOqB8hE7z5s0xevRoHDlyBImJiSgpKfn3nQqgtLS0QsXK+tDBzJJ8HUtLS8OQIUN47dR1XXo3MTERs2fP5urCE5WVYNizZ0+97iRjakcsFvOuzW3btkn9GOU3F8uWLUOPHj0qTLZq3rw5Jk+ejGPHjsnlSJZ3796hf//+vCcdeZ/oyJK8AJ49e8abVLRly5Y6OW5WVhZ2797NO7aOjg7mzp3LmlMYAGXlKsaPH4+RI0fKfH5DZmYmQkJCMGfOHHTp0oW39oCysjLatGmD7777DhcvXpSruvV3797lmjdVVVXh4+MjdEj/iCV5gVy4cIF7bNXW1kZgYKBMj3fjxg0MGzaMV1986NChVe5UYxqO0tJSFBYW1mmTXVpaGvz9/TFr1qxKa+lYWlpizpw5uHLlilw8bR47doybKGVgYCDXnyOW5AXk5eXFjT6wsLBAdHS01I8RHx+POXPm8Jpm2rdvj927dyM/P1/qx2OY2hCLxUhPT8fp06cxceJEmJub825M1NTU0KlTJyxbtgwhISHVWtpQ2latWsXF1blzZ7l9GmZJXkAFBQX49ttvuQvF0dERmZmZUtv37t27eTMTNTU14eHhUWFEBcPII4lEgvj4eBw9ehTjxo2DoaEh7+5eS0sLffv2xcqVK/HgwYM6H5KZm5uLcePGcfGMHTtW0C+dz2FJXmDv379Hr169uAtl3rx5td5naGgohg0bxhvBMGzYMNy4cUMKETOMMBITE+Hr64tRo0ahadOmFWbZfvnll/D29kZkZGSdJfy4uDhuSUQiwrJly+RuZBpL8nIgIiKCq/anpKSEvXv31mg/iYmJ+Omnn6Cjo8NddK1atcKuXbsUbnFipuEqLS1FdHQ0duzYgYEDB/Kud6Kyla6GDRuG33//Ha9evZL56LXr169zq22pq6vj6NGjMj1edbEkLyf8/PygoaEBorJqf9VZeqywsBB79+5F27ZteU0zP/74Iyv1yyi8hw8fYv369Rg0aFCFVcp0dHQwduxY7N27V6bNlHv37uWOaWRkhPv378vsWNXFkryckEgkWLJkCXeh9OzZ818vSolEgps3b/IKKKmoqGDAgAG4ceOG3E4qYRhZyM7Oxr1797By5Up88cUXFWbZmpiYYNy4cTh58iTevHkj1fHtYrEY8+bN447Vp08fwSY6/h1L8nIkNzeXV1dk/Pjxn33UfPv2LebNm8erNWNqaort27ezao9Mg1dYWIhr165h4cKFsLS0rLDYvKmpKdzd3fHHH39IbbBDWloaHBwcuGNMnTpVLkawsSQvZxITE3kVK1euXMl7vaCgAPv27UOHDh24bXR1dfH9998jISFBoKgZRj5JJBJkZGTgr7/+wg8//ICOHTty49vLO2zbtGmDWbNm4cqVK/jw4UOtjhcdHc37bG7cuFFKZ1JzLMnLoatXr3I1ujU1Nbll2cLDw2Fvb88VOSuvfxMUFCR3PfoMI49SU1Nx5swZTJ8+HS1atODd3SsrK6Nbt27w9PTE9evXazzpKjAwkFtoR1NTs0It/romAgBi5I6Pjw/NmzePiouLycLCgnr37k0BAQGUkZFBRERmZmbk6elJ06ZNIy0tLYGjZZj658OHD3T9+nU6ffo0hYWFUVJSEveaqqoqderUiZydncne3p66du1arc/Z1q1bydPTk4iIWrduTQEBAdSlSxepn0NVsCQvp8RiMc2ZM4d8fHx4/66urk6TJ0+mhQsXUtu2bQWKjmEUBwCKi4ujW7du0fnz5yk4OJhycnK41zU1Ncna2prs7OzI2dmZLCwsSEVF5R/3WVhYSD/++CPt37+fiIi++uorOnLkCDVt2lSm51IZluTl2MePH+nrr7+mK1euEBFR//79adWqVTR06FCBI2MYxQSAEhMT6fz583T58mUKDw/nnp6Jym6ybGxsaOzYsTR48GDq3LkzKSkpVbqvt2/f0tdff02hoaFERDRnzhzasmULqaqq1sm5lGNJXs6lpKTQwoULqXv37jRjxgzS1tYWOiSGaRAKCwvp+fPndPXqVfrjjz/o0aNHlJuby71uZGRE1tbW5OTkRI6OjmRsbFwhgUdGRtKIESPo3bt3pKSkRDt37qQffvihTs+DJXmGYZh/IZFIKCoqivz9/Sk4OJju3btHxcXF3OuNGzcmBwcHcnBwoCFDhlCrVq24106fPk1ubm5UXFxMurq65O/vTwMHDqyz2FmSZxiGqYbs7Gx69uwZnT9/nv788096+fIlFRQUEBGRiooKtWjRgvr160eurq5kY2NDxsbG5OXlRUuWLCEioq5du9Lp06epffv2dRIvS/IMwzA1lJeXR7dv36ZLly5RQEAAxcbG8l5v06YNjRgxgvr370+HDx+mwMBAIiJycXGh/fv3k66ursxjZEmeYRhGCtLS0uj+/ft08uRJCgkJodevX1NJSQkREWloaJCenh6lpaVRaWkpEREtXbqU1q1bRyKRSKZxsSQvd0A5KXEUl1JAhmbtqJW+htABMQxTTe/evaOQkBC6ePEiBQQEUGpqaoVtRCIRbdq0ifr27UtffvmlzGKpfOwPI5icaD8aZ2tFvXv3JJeV5yhHLHREDMNUl7GxMbm6utK+ffvo8ePHdPjwYXJ2dqaWLVty2zRt2pSio6MpISGB/8viYsrNyaTMzLKfrJxcKhLX/F6c3cnLk/yntNJlNP0amkd62qmU0moOPb/uTWZasn2cYxhG9gDQy5cvKTg4mKKiosjNza3iKJvit3R84zLadvYhlaqolN2Fi0Sk2kiXTC370OgJE2lM/06kUY3bc5bk5UYeXfaaRhPWhJK79w4yCFlIy862pLMJl2mMsbrQwTEMUweKXgbTZCc7Opn6JS2eM5x0VYhKCnPoTWwk/XX1OsV91KXRP2+n/esnkGEV7/3+eW4uU2fe3j5Mq7xPUwtXX/p/M4eQ/2tzUimKpPsxeSzJM0wDkZz4iJ7GELX/bhatWf4NqX2SyFPCDtPM6R50/hdP2vZlf1rr2KJK+2Rt8nJAkv2YtixaSpGG42jb2m9JkxqTqXk7MqB0ioxIFDo8hmHqRBElP75JMRINsu3fmVT/dqfe3OYb+sHtK2pEb+nm5dtV3itL8oIroIBNP9GOKCNatmkVfWVadtferm1nMtYneh55nwoEjpBhmDpQnEuPb4VTaaNu1N+yGVVsjVGlZk0NSENEhIL8Ku+WNdcI7E3Qr7Rg81+k32UcGeS9pHOnoqlEqREhIY5KlJQo42kkPZcQdWdfxwyj0EryXtLtsBRS6epE3Y2NKtmilN5/yKBCEGkYm1R5vyzJC6g0OYTWrPiVXigZUcfiWNq7YRlJQEQkIiVREX3IJypIe0JP44m6s6rCDKPQ8uJCKCyZqOvwbmRsVMldXV4shd97QIXUjPoM+qLK+2VJXijiDDq+bQ0dulNM3+8LoP83yoxKS8oHxSuTWqNU2vv9BFoSGEcxzz4Qta3sm51hGEWRcDOUEsiAhnTvSEaVZOaYoD/o5OWXpGe7iCb216/yflmSF0BxwlmKiwih1d5XyXzib7R6Ul8yUvv7Vs2oT3dTojM3KOZpNNHIIUKEyjBMncii0BtRRPqm9EWnzsQvWAxKCN1H8+avoxit3rRtgwe1r0ZJepbk61w6nfX+jUKvR1CG5Xjat2QiGVdI8GU6WVlTK70IKvj4gTKJqHGdxskwTJ3JfkAhD9JIp7k1tWqhR6WFuZRfkE+JT+5QwKlDtHvfaXqr24fW7tlDswZUbehkOTYZqs6JqTCvgErFICX1RqSupvb5IU4opfz8IhKpqJF6I9VKetsZhlEExWFbyXLEAnrxkUhVQ51URSBIRKSqqU0GRqbU+ytX+nGOOw1oV/VmmnIsyTMMwwis9GMC3Yl6QbnFEipLySJSVlUjLT0Dat7KnFob6ZBSDe/yWJJnGIZRYGz0NcMwjAJjSZ5hGEaBsSTPMAyjwFiSZxiGUWAsyTMMwygwluQZhmEUGEvyDMMwCuz/AybLysOwNMscAAAAAElFTkSuQmCC)
If line segments AB and CD bisect each other at O, then using SAS congruence rule prove that ΔAOC ⩭ ΔBOD.
![](data:image/png;base64,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)
Maths-General
Maths-
What least number must be multiplied to 6912 so that the product becomes a perfect Cube?
What least number must be multiplied to 6912 so that the product becomes a perfect Cube?
Maths-General
Maths-
Rohit, Peter and Santosh walk around a circular park. They take
𝑎𝑛𝑑
to complete one round. What is the total time taken by them to complete a round in minutes.
Rohit, Peter and Santosh walk around a circular park. They take
𝑎𝑛𝑑
to complete one round. What is the total time taken by them to complete a round in minutes.
Maths-General
Maths-
Determine y so that ![y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses](data:image/png;base64,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)
Determine y so that ![y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses](data:image/png;base64,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)
Maths-General
Maths-
Find the simplest form of ![open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses](data:image/png;base64,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)
Find the simplest form of ![open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses](data:image/png;base64,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)
Maths-General
Maths-
What is the result of ![2 minus 11 over 39 plus 5 over 26](data:image/png;base64,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)
What is the result of ![2 minus 11 over 39 plus 5 over 26](data:image/png;base64,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)
Maths-General
Maths-
What is the difference between the greatest and least numbers
and ![11 over 9](data:image/png;base64,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)
What is the difference between the greatest and least numbers
and ![11 over 9](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAjCAYAAACHIWrsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAANJJREFUeNpjYMAP1IC4FogvUEkdQbAYiNOA+D+V1BEN/lNZ3aiFoxaOWjiILfyPBVOibhSMAuqnSGriUTAK6APsgfgwEP8A4m9AvAaIlWhlmRsQXwFiUyBmAmIWIE4G4htALE4LC8/g8E0oEHfRwsI/OMRBvj1HCwvvArExFnF5aHxSHYCC7j404TBBsQ/Ud79omUr3Q1MpCK8CYhVa+RAX4ADik/S00BGIm+lpYSsQS9PC4L1AHATEbFC+NLQT6kcrn7hAEwwoP34C4uVArEeqIQAW21cZ81ZyCwAAAGN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjExPC9tbj48bW4+OTwvbW4+PC9tZnJhYz48L21hdGg+FXlcqQAAAABJRU5ErkJggg==)
Maths-General