Question
The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.
![](data:image/png;base64,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)
- 12
- 18
- 24
- 30
Hint:
If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The correct answer is: 12
![fraction numerator C E over denominator B E end fraction equals fraction numerator C D over denominator A D end fraction
fraction numerator E C over denominator 6 end fraction equals 16 over 8
E C equals fraction numerator 16 cross times 6 over denominator 8 end fraction equals 12](data:image/png;base64,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)
Hence, the correct option is D.
It is also called basic proportionality theorem.
Related Questions to study
Find the value of ‘a’.
![](data:image/png;base64,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)
It is called theorem of parallel lines cut by transversals proportionality.
Find the value of ‘a’.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWcAAAEyCAYAAAAm+xHJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAIOJSURBVHhe7b0FnFVV2/7//n/v+zyPPgZ209Ld3R0CgpSkhKSgIF2CIEooSJdKCIooqICACEp3i3RJIykd3v/1vc/ew2E402dmzplZF5/FObPXPrX3Wte6153/IxYWFrGCf0y7Y/6LrWaRsGHJ2cLCD7h15/525eY/cuHGP3IxltqN274/17vdNM0SeXDCkrOFRSQBGfpq10yDhEM3X4Tqz+brM321y2aR8PW9LQIblpwtLHzgtpE2r976R645jecXrofRDAH6Is9AaUrSPr639+/zbhy/wQWwiFdYcrZIlLhuyOeyIaErYbS/HZWEd/NFfMHcQv8+70a/r+tCs2qSuIElZ4sEj38MmdCum638JUO6EG9E5ETzJrLE2HxdExrXL6KG4K3X3bkHFlGHJWeLBAVIwbuhW4VoLpnmTTjeJGRb1Jo3UYfV3HNdoqZZRA2WnC2CCrcdDwRfzSVi2wKz3bIEHSVYcrYISKDXRC8cuiEBnzfNl7RG80UKtsV/496gUuIeBgpumUEWenzdDCCFuiVni4AB0wJPARrb4fM+PAx8TXzbgqdxDzEqQoxxDcjXHV80Xei9xhbP+Y6BQtCWnC38DoZ26MaExN82vOYSsjthdDIHWOM7/X1L5OJN377NtkXcuL8Qo+HKWIM77q6ZD2FcMb7czw4ZY+Zv7zHmPucxNr9bZGHJ2cKvQOoITbo0JmNkGhMpkNvF63fk/NVbcs1M3iu3xec5tkXcIEAW7NgC/to67mju+PL6/PAa58bmd4ssLDlb+B0M69AtoeDy5csydfIXsn7tWueIRXQRm+MipmMvEMasJWcLiyjg0qWLUqVieSmSL698PWO6XDh/3umxsPAvLDlbWEQBJ0+elIJ5csnjDz0gmdKmlratWsjWLVucXgsL/8GSs4VFFLBnzx5JkyKZvPjMk/LC04/Ls48nkdLFisrCn+Y7Z1hY+AeWnC0sooAN69dJ0ueekpeefUqSv/Csef60IehHJePLqWT4x0PlrzNnnDMtLGIGS84W0cbt24kv7+TiRQuVmF1ydhsEnSrZi9KyeVPZsnmz/PPPHecVFhbRgyVni2jhp3k/yoplvzl/JR58/dUMJWYkZm9ypqmqw7SypYrLqBHD5dy5s86rLCyiDkvOFlHG5k0bJWuGtDKg33vOkcSDcWNGywtPP+GTnGnJnn9G+yHwbp06ypXLl51XWlhEDZacLaKEnb/vkNderSqP/Pt/pUmjBur3m5gw6IMB8tyTjykJ+yJnt0HQKV58Tjp3eEe2b9vuvNrCIvKw5GwRaezatVNq13hVnn0yiTyV5GEpUaSgHDxwwOlNHOjc8R15+rFHwiRnV+UBMb/0zJNK5OVLl5Q1q1c572BhETlYcraIFH7fsV1qVHtFnn/qcSUfJENUG4ktUq55k8by1KMPhZCxq96ArDO8nFIK5s2lxMx14ph7veb9+L3zDhYWkYMlZ4sIsXrVCilaIJ96JLhkxCNS4vezv3XOSvi4c/u21KpRTXcN/P7USV+UXNkyKxljDEyTPKkM7P++vN+3j2TLmM4Q82PyxCMPSq3q1eTM6dPOu1hYRA6WnC3Cxfp1a6VSudLyjBcxu43tfZ+ePeQf6hElAuDDXKZEUXMtHlGJOFvG9NLl3Q6SOd3LupPgGtWuUV0uXLggvy1dKq9ULKeEPe8HKzVbRB2WnC3CBF4ZFcuWCtMA9uwTSaRU0cJy8sRJ5xUJG3v27JY8ObLqDgIiLl6ogCz5ZbG8+kolvUYQdPrUKWTVypV6/o5t29S746Iha4v4w82bN51nwQVLzhY+gQELKdFblRG6qfEL1cac75xXJWysXbNGMqZNLc8bIkbvXN2Q8rWrV2XY0CEhah6uV6cOb4fsJm7dvqWPFvEEcx8mjB0t7/XqKceOHnUOBgcsOVvch9OnTkuj+q+rvjQ8lzH60L/26NbZeWXCxsIFP8nLyV9SCfmJR/6rroTg54ULJG3KZErOqDtQc2zevEn7LOIXZ//6S6pULCcP/+d/pX6dWrJ+7Rq5fuO60xvYsORscQ9OnDghHdq3U/JFGoSAIZ3QpOySNuTMoL9x44bzDgkX07+cqr8b4x/69l7du+nxkyeOS5UK5cyxh7WfPlzuEosuPpCxyCycmdOnUbUTrUCenPJuh/ayZPHPcuXKFeeswIQlZ4sQoGPGVSz5i55QZMgXX920KZNLqqQvhBAz3gkuUaN7LVe6hBw/dsx5l4SL4R8PkUce+JcuSKgvJo4f5/SIjB87xkz+JPKSWdDoK1GogBw5fMjptYgP3LlzR3p27+rxrnneI2iws6HlzZnN7Pi6yIL58wI2WZUlZ4sQDBzQT3WpSsxmID9jJMAShQtIm5ZvSrpUyXVwcwxddN4cWeUFM8jZ4ufOlkU2bdjgvEvCxZTPP5f8uXKofzfX4+dFC50ekUOHDuqEZ7FiQWMx+3LqZKfXIj5w69Yt6dmtq+78nnTGNWOYHaH7/OUUL6l6auWK5XLt2jXnlYEBS84WIdiyeZMUMxIfXhjPmi1grmyZZO4P30u/93p7jH9mUD/5yH9l0MAPNPsa23iOQ0Rs+RM6zp07J7//vkN+XbpEvv1mppw6da+XSveuneU5c+2Y9Kg26teuZSulxDOOHz8mkz//TGpWq6qeNO6Oz90FJn32ab1XGdOmknZtWsnyZb/J9euBoZO25GxxD5b99qu6iyEF/mS2fGfOnJaqlcorYT//1BNGYkwha1atkqlffK7bQ8iZvq6dOgaty5K/gIdLtkzpdTfBtcmRJaNs3LDe6bWIT5z966xMnzZV3R6TObaUEKJ+8TndBT720AO6M+rRtYvMn/ujnD59ynl1/MCSs8V9mDZlsnw782t9vm7NGo12w5jy7BOPap4I/HbXrV2j4cqucYwouL/O/qWvSawgRWidmjVUtcHkh6A/6N/P6bWIS2CMPW/ux/bt21SvPHXy55pFEfsI9+YecvZqjHPGdMY0qTTSMz6laEvOFvcBXZ2bLJ7tO2oLBizk3KLpG/LPnTuyd+8eKZwvjxIQfr/FCxeQffv26msSMyaMG6sTnx0Fi1aR/HnlWCIwlgYC0BnjyzzPSL0d2r8lRQrk1d0LtR5xdaQYgi9CDt0wIKY25/4w5zs1KsYXLDlbhIsRwz5RaQJ9M+qL93r10OMnT56QSuXKqKGFlj51cg31TuzYtnWLGktZsFjQUpjJ/uP3c5xeC38A9Rm7lIMH9svmzRtlyZLFMvmzSfL2W62lTPGiSrAsjB5V3OPmPpBf+8kQ11D6w5KcqQuZPlUKlbTjG5acLcIEkkiDurV1oFM3Tw1/0zyGv6tXr8qbTRqr+1iWDGmketXKss1WoVbfWa4ZCxaTHSmsRZM3NJLQInr4+++/5eifR3Th++H72TLko4HSukVzqVH1FSleKL9kSveyki1krIKE2bV4ky+unzTImX4CiHTh9HIJpWErYIwP+3iI3AyAQBVLzhZh4o+dv6vuTQ1cRqIoUiCfObbT6fXU06McE8YT8k7cCBArd3wDAmGyo9rg2uF6t3aVJ9+GRcRgIVu7ZrVM+eIz1dnjRfF6rdekTIlikj1Ter22JJ/CrdM1SkPG3g0ixuccSfjxhx6QRx74Pz0/T/as0r5ta81L7r6O9+N8bAXvv9dHLl286HyT+IUlZ4sw8c3XX5nB76g0Hk8iDV+vI1cDPKoqEMC2+63WLZ0dhyfnBpW5Le4FRru/L12S/fv2qZfQ55MmqNqMnUfeHNlCJF2CeiBhFroXTeM4hBpCwub6IgnT755DX/ZMGVT1hpTdv997MmP6NNlqdnekwK1UtrSe6xIzO8A2LZurlB4osORsESa6d/H47TJ42Z736tFNE8lYRIxfFv8ckocDgqlaqYIcDbLEO/4CRjXKmRGJBxFv3bpFPSjwhqjzWnU13GVJn1avF9fq8YcfDAnm8ZZsXRJWI7Tqkp+UVC89r7lM8uXMJqWKFZHqVSpLl44djGAxQyNe//zziFw2hOuG0h8/flxee7WKLpwEWvG+6KTfaFRfTp8OrOyKlpwtfOLy5b/llQpldSvIAH7GSM5sMy0ih5MnTkjl8p7rB4l4rP+znd6EDYoSQMYnDBEiEU8YN0Y6d3hbmjZqoORZpGA+yZQutSFejyqBhhDAdYKMvXXEkDD96JPp4zria4+uGc+hjwd/JDMNERMYRLUeyDesSD+I+o2G9fS9eG/eD6EDst71x111XaDAkrOFT6xYvkz9mHHOZzDnyppJawhaRB4jhg9T6QwJEEmNVKLx6ZoVW7htyPjw4UOyZPFis4B/LoMHfiBtWjSXqpUrSL5c2SVNiqRKvKpycB9Nw8jsSsY80iBNxtvjDz+gj0T1lStVwhBxExnQr69MnfyF2ZUskt+3b5czp8/IrVuRC3y6dOmS6q6Rvl1dM8T/apVKQirYQIQlZwufGDd6lA5eBjLSRas3mxqJKOERS2xiw4b1kjtb5hDVBjrQ7YZUgh2oCG7cuK7FfRct+En69e4lZUsUU8IlvB9J11U7MH5cKdVtSsbmGP2cx7VRwnbc3fBLpshDj66dZfasWboLiQkw8PXs1sWQ/aP6ffh8nqNOOXjQfwWKb/9jdg1+1PpZcra4D0h3vXt000njbjW/njHd6bWILMgljLsXZMU15LFrp3eDKr3q7Vu35NTJk7JxwwaZP3eufPHZRPlwwPvSoV1beaVCOUlnJFvyfj/58INKrKgjPAR8r0QMKTKWMLzhZggZZ0yTWkoVK6yeE21btZD33+stY0eNlF9+XqQ5MfwF0uDWql415D4wrrNlSiczv/LvmL5q2PmWH+UXS84W9+GikTQa139d9YBINljO9+/f7/RaRAWfT5ygRAQpcC1zZM4gv+/Y4fQGHs6dPSs7f9+hBs0pk79QV7amjRtI8UIFJWvGdJqNT9U0ZjeFOxu/DRJ2SRmChohp7o6Bx5dTJJX8ObMroTdpWF+TaX01fZrmHkEXzOcSmRobQNjYunmzlCtVXJ4wiwhqFlK8+vvzrhlyvnLTf6KzJWeL+8DkLJw/j0a5IW3UfLWKErZF1HH0zz+laMH8IVtqCOyLSZOc3vgDqglc/nAd27tnt8yaOVPatW6pRQMwtuXJnkUypntZUr70vJIr+l+XaPkdkLBLxK56wiVql6TJycLYGTXiU1mxbJls3bLZLPL75NSpU/GS6H7uD3M0YGXIRx/Gyu7luiHn89f/kRt+0m1Ycra4D0g0TDImGFvQTh3ax5pUkxiA7y5RaVxPdiO1alQzBBUzPWpUARmdPH5ctm/dIt/P/k4+GTpY2rZsIRXLllYSvZ+E7+qMIVuah4Qf8xDxUx6S5nj61CmlaIF88nrt16Tzux1k9MhPtXTXnj171BAXKCCqlbzN+FbHBlxyvnLLkrNFrOAfJRPXBSyl2a4GQp6BYMaG9evU2wVSo+GBgGdDbIAtPDmk9+3dI6tWrpAfjbT4+cSJ0r9vH80vTYQchEpgB2TsSr08cpxF2V2Y8dRh58TCgrcJbmykkiWwg/eC3ImoI6T/D7PbCrRk9XENyPmCIecLN/4xz52DMYAlZ4t7cPPmDWlYr65OXiSoQnlz6XbUIvqAtMhDAtGp9GyuK25h/gDqCQx227dtlcU/L5IRwz+Rdq1bad7igubeZc+cQV5OnlQJGKkdQuY7uNKwS8iuXzEkzG6J8/GaIPPgKxXKSxtDxGNGjpBffv5ZdeZ/Hjki580ikBBdA6MLJWdDzBdNu+QH3bMlZ4t7cPDgQUPIuXV7C5mwBf/rr8Sdp9kfoBoHSd1dckaCxRUtOjh54qT8NG+efPTBAGn2RkP1CKGcWJYMaZVklYjNZ7iZ8Vwy9tYHa3vWY7jjXj/64L/VFY4SZN07d5LpU6eoUXDL5s2GiP+UK5dt2H5E8CZnWkx1z5acLe4BUWykuUTCgpypH5jYK5z4A7v++EOKFsynxAkx4ukw48tpTq9vkEjqwoXzcvLUSQ17JuS5f9/3jFRcWdKnSq7+5w//5//UAwGC9ZaKvYnYNdqhpsDTAv1yWvN6vC/y5syqkaDvvtNeZk7/Uvbt2SO3blr7QnTgTc48xlT3bMnZIgQY/dq2bqGBBExqpC8s2xYxBwscEWoU0IU0WfjeaFhfo+uAJ7Djhhw/dlRWrVyuofL9+vTW19Sr/ZrmjUAyRrrFjQ0yhnSRlF21BI8cYwGg310IaKgoShcvqp/Zv18f+WzieJk/b65s2rhBjpnPvH79fn2xm4/CInIILTnTYuL3bMnZIgSkCEVHycRG0qJ6xKoVK5xei5hi0cKF6mOLhEsjYc+k8eNlzuxv5ZOhQ9TToW7N6lIoX26VbCFalXrNuaqmePpuekyIGNLlPnG/SBaEBI1kTBIh1BON6r+u1adHjxyhhXq3bd2q+S6CKQgmmBCanHkeE8OgJWeLEMz6ZqaZ7J6ACciAkFwS2AQKMD7hDhVsYEdCtCD17AiEQGp21Q6okDSAA7I1f6v6wZAxJOxKvTQlafrQJxsyVjWGeU5QCBnZihcuaCTsmjLogwEaUk1lcEjYukDGHXxJzjSJ5gbEkrNFCAZ9+IFuhSENrPYd27/l9AQG0L9+9EF/GT92tBw4sD9gSti7YA7imXHu3Dk5evRPWbN6tXw+aaKmXq1fp5aULFpIJWJX8nWlX7dxXPucR4964lElZQgcqZvq3qWLF5FWbzaTjwcP0pzbq1eu1Np5NyOZBMgiduCLnPn7ZjRVG5acLRRIpM2bNFYLP8SAsYkq3IGE3bt2Se5sWcz2/gl5rVoVea9XT/lq+pca/htfYIHYvm2b/DBnjoz8dLi817un5omoW7OGFM6fV68lKgcaRKvk6xCzd4OcXSMsOmUIOX+u7PJ6rRrSoX07GTTwAyX6eXPnqgR+8eIF5xtYBArCIufL0TQMWnK2UOC7Wqxgft0qQxKEuZIUPZBAbmD0qY899EBInmnKaNWuUU3LZeGPHZv6VBawwwcPaijylMmfy8D+70vrls1VVYFES5AG5AuxuqoHCoveJWGPROxKyRzjEe+JbBnTG8m6sOY8JssbqTdXr1wuRw4f1h1DoO0SLO5HWGoNWnQMg5acLRTfzvzabJ2fV90mQQgNKEl1LbD0uxQAQJovkDunPPukh/zUc8FIm6mSPi8ZDFGTR5iFxh+eBnhSnD93TjZt2CDDPh4qtapXM4tDGg1XRtcLsRLmjPqBBin7Mti5BkAMe/pojtHHOboQpk0tP82bK2dOn9b0ljetwS4oERY5cyw6hkFLzhYKIssgCjcxPCHcgQq8Svr26ilVKpWXfDmzSzIjkeL+x6KCWqB44QL6e6iOQb5e110tLNCPnviQkYq3bd2sr5v93beqg6eqOFIthMp1Qe0TQrBeROySsSfk+RFdNCBsSi+R0xl9c7XKFaVxg3rSpVNH9abQ623eg0frshj8CE9ypkVVXrDkbKGDptM77VUCdaW6SePHOb2BCQiVDGdLfv5Z+vTsLiUKF9Sy9m6yd0iP9JxIu6M+HS47DaG7uR/u3LktZ86c0Wxsv/26VMaMGinvtGsrNatVVdIkRaqn/h8SsSFjQ7KupOs2DHQ0iBUiZmHg2mU0UjDeE2WKF5GWzZrK8E+GanXyDevWqRETSRwQMch3pPEZmdOn1XMsghfhkTPHo2oYtORsIafNdrpy+TKqx4VsMqVJLUt++dnpDXygC96+fasaB/FigKSffuxh/S3oflObv0uXKCbvtG2jCYC6vNtBJdgKZUpqGLVbiBVSx4UQPbGrnnAb5OxKuZz3yAP/kof/87+qZ65YppSGPI8bM1ozvq1dvUr27N5lpPGzctssBL5w+vQplaZd7xhUNMOGDnF6LYIREZEzj7eiID5bcraQ35YuVUJzgx0qliutiW2CEWfOnJaRnw6TIgXyKaG6xPqcIUGk6iQP/luzrCkRm2MveKknvEnYJWLIk0ekZYykJYoUVH18t87vquqEKDtCq6ODDz/oL08l8UQMoi7BAwXStghORKTWoI+E/JGFJWcLldge++9/PCRhyKhrp44BXy+QcGhUE+iJt2zepKWNJo4bq+qJKhXLS9YM6fT3eKsivJtLxKgiVMI25Ih6AVLG2JcnR1Yl4upVKqlr3LChg9Vb5MD+/fq5/gju2LZ1i0Zkojbhe+DH/N23s5xei2BDRORMI1tdZPMhWXJO5IDk3mhQXyU4yIpG3oVAw/Vr1+TChQuyd/duDbzAYNmssScjW5kSxSR39iyqnmBxQSqG7HyRMsfpR43gnkNgCK+HiPv27qn5iX9euFA2bdwoBw/u1yowlPv3N9Cbd3y7vX4frjs6fxZGi+BEZMiZ/si61VlyTuQgF3D+XDmU1CAIfG6XLvnF6Y0/oK/Fb/m7Wd/IsCGDpVOHt6X2a9W1fFaGl1Oq5OtKvTy6jd9Any+pmd+IEY/gjprVq0rHd9pp1Y65P/6g7neEPF+L4/Dwb2Z+LamSvaDfHf04OZgxVFoEHyJDzrTI5nq25JzIgToA4mI7jzTJdv7QoYNOb9wAFcG1a1eVHDesX68VnjHYkYWNSEUS+niTMN/VFwknfe4pRz3xuP4NEbt9HMucLo18YogedYKvLGzxAfTVpYsVCYnMJMBm/JjRTq9FMCGy5HzRkHNktIaWnBM5Pni/nxIDZAcJol+N7axl+BTjq7xo4QKZOuUL+dgQJtv5BnVqSYE8OQ0RP66uaSwWECvSPI8uEbukDElDuvgfY+RL/vyzUtC8vn7dWlpYFDUH5/E+RBYS/uydhCYQUmKiVurZtavqnfmupBR9vXZNmzkuCBFZcuacyOR6tuSciHH1yhX1PIC8kExxC8Mn158g7JgK1KtXrdSsdxjWSOBPgvdc2TKr8Q3yhWQhJrb2LBSuxAthuRU7XDLm+3KcZPFlihc1ZFxbOnd8RyaMHSNrVq+SxYsWqn+zEvPjj0rm9Gk0HDpQM7SRRQ4pX3cFpqVJkUx+W7rE6Y0+dmzfJtOnTZGJ48ZpBCKZ8SxiD1Eh56uWnC3CA3kiypUqoaoAAiko3BmTasluwvi//jqj1Zc/HPC+kWCrSqF8ubQwKK5oELHqV81n0pCSXTWF2yAoV41BXwhJm74iBfJKl3c7yvdzZiv54D3h0RV71BQsBA3NgsO5+G0TFILvMYEngYpLFy9I9aqvaHIkfivfu32bVjGqSIIuG1sCHiDk5c6YJrUuZBR9tYgdRFqt4bSI+NmScyLG8mW/SfZMGVStgWrg7bfaOj0RQ0n4zBn54/fftbDopAnjpXeP7lKvTi0pVjCfpH85pRIsnghPm+Yh4rvl9F2ydSVht49jaVMmVd03RUrbt22tZfxnGbJZt2aNHDt2LMwt/5HDh6RJg/r6fqhFcmbJKF9ODazMemGBa0huEK4Duwfc+KLrP712zWr1PoHoO7R/S8aNHqU5R7guFcuWkj27rcExNhAVcua8GxHIC5acEzEIooAQXUn202EfOz33grBnglIoabRg/lzNyDZk0IeakY3SR0hmkCzE4ml3kwBBEK5hjr8hCPTDNM7F6IdB7PVar2mp/R5dO8u4MaNkyeKf5fjxY5HWC+/a9Yc0ql/XSYSURKtGU6Q0WHD71i1p/kYj/f7sHAgKwjAaVZw6dUqqVa6gixO5r928In+bHdH7ffvofcDOYEtQ+R9RlZwvmRbebbDknEiBvrlp44bq3wyRZkr7spGkl2nf339fkn1798jK5cvlqxlfSq9uXdUHmJSiOYw0mi51CiVcCBlS5/VIvMmev5sKk8ZzCPjxhx8wZPFfSWkIh3Bp8lc0eL229O3TS1UOO430DfljKIxOasy95rtSZ093AIbcqLe3YvmyCBMeBRowWOruwTR2MlQ2wcc6KiCIBWImIX/o6t7cV6IQq1QsJxcunneOWvgL0SHn8KqkWHJOpDh+7JhOYDdgA/3kgH59pWe3LlLfkAK66FzZshhC9Rjr2GqrdOxIxK5qwm2QM65s9EHYvC/n4yXxRoN6MuzjITL7u1mydvVqs13fq0TsD1ABpE7N6vLcUx5iLlaogBoFgxH79u7V0mCabMnZVeDrHRWQ8D/Jf/8jnd99R8t6hQY7k2wZ0+mCaOFfRJWcaTfMa8KCJedEhJtm60yU3elTJ2XhT/M91ZwN2SLl4qkBseJnS/4JJDeViB0ivisNGxI2x+ijQcC8DtUGqTUx/JUvU1JaNW+m2eAoEHv+vH+IODSQDJs1bqC+0CwGSP8zpk9zeoMPqBpwKWRxY7FjQUR9FBV8MmSQ7lI+6N/POXIvWIC5n4EQaJTQEFVy5tzwqqRYck7AQI959cpV9SmeNfMrGfzhB/J229bqPsfW3ztIAzKAbJm4HHf7+BspLkRyNs8hY3SieXNkVTe2Xj26qZ54znffysply2Tv3t1hbsf9pevc9cdOaVSvrhIZ5JwraybNShfs/sFffzVd/bW5xqhpKMu1PgqpRD/95GN53Cywvc098QVKe6Hv//abr50jFv5CdCRnWlipRC05JyDgx0r0G2Xwx4wcId27dJKmjerrVpky/BAukx4S5vFeidijmuA4hIeKgEmO7zHuWIXy5pYaVSobcm8jHw/+SGZ9/bUhjbWqHrly5YrPLXRs4XezJW9Qt5YuFmSawytj5lcznN7gxonjx7TsFTsX7gn64949uzu9EYO8IA//5/+k2isVtbKKNwh4obbhf//1/9Tv28K/iA45c/61MDwmLTkHITB0IZliRIOMMX4RgFGv1mu6tYdQkXBdafjFZzwVTjx64fvDnulzt9JE1aGeIOVm+VIlpGWzJvL1jBlqIHST1ccnkLxbt2guDxmCwfODABMk5oQEXAf5bdwPgmgqlS9jSPu40xs+9uzZrUZXdjqTJowLCVNnvIwYNkyL46K60mhJC78iupIzzVemOkvOAQ6i2ijwSXAFqTG//+5bDe5o/kZjtbrjz8okJnDBrWTiSsEuEbuSMX0uCbvEzHN0z4Q89+vTS6ZO/lwzsqE2uHQx+gEpsYnJX3wmyV54WooVLig/fD8n6LwyIsIfO3dqKlFXn0/E4NdR2BnM/f4HSZ8qhSaI6tq5o4wfO1rebPqG1j4skj+vvu/UyV84Z1v4CzEhZ1/aPkvOAQZu0qmTpzR897MJ49Un9e12bdStqmyJ4ur9AMFikUf1gIQcWhLGaMekptHP1p9tMi5wbJnRz7rkjSTVo1sX9SkO1PDm0MAlbPTIERq4kRCBiqhb5056n7mvGDtbNGsapZ3L5M8naXj8w//+f3rv8+fOKRPGjVG7A/cd+4CFfxFdcuY1vDY0LDnHM86fP6+qCfx9Px48SNq1aaWhvHg9pEnxkpKtK/Gy1UXqCZF8HVJ2iZbzMCJxDgY7kgC9Zt7r3Q7tZfSIT2XpL79oWf8KZUrpeRB3yhefM8cXO98meJDQpOXQWLJ4sUZZopLiXuXPnUMNu5EFBI/bIvd99MiRGkAEhn/ysbycIqmsTORh3PjT44bpz3EUE3L+20caUUvOcQgmDLkrqC+HAYtwaerIUW4fVzQIFcJUH2EzIVVX7Bju3OZKwzTImL9ddzcSAVHheejgj2Td2jVm8P2peS6osed6SWzZvFlVIbwews9ppOiTJ05on0XgAOKoVLa0joVkZuGlovfHQwY5vWEjtDdM6L/Ji01oPMVmEzN279qlc4ViBwcORC9MPjRiotaghfZ5tuQcSyBp+1FDjlu3bNHyRmwjkWKQjNH74TkBOaIr5hGydIn4rnrCoydGl0zBUlzGkJAxghGtx+Bq9Hpd6dC+nYwY9rH6rkbkU4yV3vXa4LMb1qtrpIe487SwiBxYyPv3fU9eZPE19xzVVNXKFTQMOzzgPTNl8hcy78cf5EaoaMsrly9LlQrltIxXVCMPExoW/vSTJuHCI6lqpQoyY9pU2btnj9MbPcSEnH2pNiw5+wlMGurZsX389puZ0qt7N80XQQmlAmZLSqJ3CBeVg2voQTfsErE3IXvyTzyoUlOqZC9KjkzppXSxwlLXvF+fXj3ku1kzNbkN+SROnzqlknFkQJazzh3ekWccTwAWBIxFFoGJVSuX60L8gtlBsUgT/v7L4vCroqP6yJIhjeTLlf2+iircawSBHl27xKnrYyCCiFWiSrmuzIN0qVLIK+XLyaTx441QddQ5K2qIKTmT49mbni05RxM3rt/QHMW4sJFLmDwVVY0kCxFTkw7yZSJ4S8UQIuTrNo65bmwEBlBun+guAg+aN2ms6okZ07+UX5cuUe+Jc2fPys2b0Q+yOH/unNSu8aqSP4MSa35Ek90i/sCC/+orFbUIAgs3eVBaNg/fMIgulcrgSIRdO70rf//9t074yZ9/JmlTJFPPHHTRiRmUZitqdp5aoMERipiLzAt8+tmRkhTsSBQr0MdUrXHeNG/h2ZJzBKB80okTx9WNbcH8eTrIB/Z/X5q90Uh1t9zQh//9vxryzHNv9YTbIGWOQYiu5JzMDAgMPtTEo0jpW61bqmfGl1OnaHDH5ct/O9/Af0DXXTBPLv18vmuhfLm1dp5F4OK7WbPUFuFKeNgItm3Z4vT6Bp43qC+4x7VrVFfBIVXS59Ulj+CkxA6Cc9q/1UbymPnLXOC6Mk8haVUhGQEJFSIpa6dN+cLsiO9NIBUWYkrOvPaqFzsHHDlv3rRRfl60IF62XUS64U+M9wR64hnTpknv7t3MAK+m28RMaVNrkAaDHmnm2SeomvyUpHjp+ZBwZ/cGKxE7UjN9SCzFCxWQKpUqSLPGjeSjgQPkm5lfyWZD+uQovnz5svMt7oW/wp0BVav5Lnw39NgN6tb2WwIii9gBUX1vtWqh7nAs8OhJI1NjcMuWTdLqzWZq3yC6E9vE/LlzI60CS+hgvi03c/xtQ9IkAGO36xI0c4Q5zDVP+dJzUrVSeY289NTWDHs++oOcvYu/BhQ5U9ECvSrSwew48MNkAUBnu+zXXzUnQYtmTaRW9aoaGUctO6pHcMNQO2At5xFic28ijeeuRIyOGN9jbmrqZC9J2ZLFpV3rVjJ+7BhZuOAnWb92jUbanTlzJl5yQJB4nfSdKsU/+6RGolkEPjAm4zbJQo9g8Fq1V8y4vTc02xfOnv1LA1p27vxdfect7sdff/1lFq0fpEa1yvKSo3Z05zaNa/7ck0lUMMMgO2bUSPWk8QV/kLO3S12ckLOv0MTQgKzef6+3Ehv5BNhy4+7iT1y9ekVOnDihhrRFRjr/6IMBhoxfVRKGrCDZkGZuCo9IxtwwWoh6Qm+Yx++YxPJkdEMyxje5lFmFcc/57ptvNGsa0rg/pd/oAks9OnFKIb1kfiuuewxKi8AH6T3zm50b4w0hgBD9tWvWOL0WUQE6eMiVCj4//jBHE0FVr1JZ0qdOofPbm5jd5gpg7DY5h0AeX3M66MiZj4qomCFbt5HDh2tABBeBi8FAJH1idJKv37l9x5DiZVX8kw937o8/qI8oGdm4ESSMT/r806qW4HM8OuL7c054borH75jVk7/ZVkJsBAVQH4/8uBPHj5Of5s9TSzk3PxCx8/cd5ndncnRsj0vurJnVzc8i8MEcIIkVUhxjFcHg00+GOr0WvkC0K3YbXAux4cyaOVMGDRygxYUrVygrWdOn1Wvp7oi9572vBilz/bENHVb1xv0ISsk5PHJmBfpy2hTJ8HIqvUjoe541j1wQopkioyPjRhw8eECWL/9Nvp7xpZZbIml808YNpFSxwuqVgJ8oFmzv/BOhiZhGH9I7llyImwKhFD5t2byJpmH8ZMhgzUtA/T3008ECKl9zfRlkXAPCuPHesAgO4JdLpXKXnIsVyie/79ju9FrgwcKOmMjKaVOmyCeDB6m3CmllixXIp7tbdo24qHL9PALZvYQcmhO8j2M/eqNh/XDd7PxBzjzeclQNsU7ORL1c9hGa6GLBT/PV64HqD1wI3balS6PEHJbL0NmzZ2XH9q3qaD92zCjp8m4H9XhAmkVFgXWbiw+5IvWy4nlfaFc9QWSdR6fkCQbhBqJOqflqNXmrVUt1ZSOs+g/HjQ3VQDCGDbN4EY2IuijZC540lAzcQFC3WEQOJ80uECGB8cw4xpuAaL/EGEDk2oqIdkUfP3L4J/JOu7ZSqXxpzSeCoOdWeXd3xzwPzQEuD8AB7jlwgHueey7XnLqMuw35h4eYkjON17vCbKyTM47VvuLGARZQyuVDyO4F46KOHT3K3ADPa1B5ID0Tbjph3Fhp2qihBnZgNMyaIZ36Jb7wtMdXmMaF5iKjK9YbYC4+N4Bj9HEM6ZzP4+JnTJNSDSy8N4Ed+/btVXXIpYsXE0z+BiR8qjl7QsI9A3DliuVOr0WwgCASdnWMXXY/uGGyY0yoQHhgDt68cUNrXu7auVOGDx2qGRRLmvGcM0smTX3AeHaFrHs54C4BY2cJ4QBz/eAA5j+BPVkzpJUmRir+fOIE9dyAj1xixsBfKF+eSLmc+oucr8UFOd8yi/qF674lZ7wXyDur0py5CG57o2E91d/OnDFDPhzQX3VEhJsiXeOyhoSL1MAg5SKqBGxugHsxuQHuTeKGcAzCh8jxwnizSWOtQjzli8/k50UL1TBw8cIF51slTJBngxSUXBuu3eu1aqih0iK4sH/fPsmXM7tKcox7SCmYKoxHBIiYsHICrn5euEAmjhsn/c1cbdHsDalYtpTkMGOYec7cdzkAsuVaMM/pgwtcolZ+MGPe5QBsTZXLl5HWhlOIVZjx5TT57ddf5cjhw5pf5v33+mhELu/He/EexAX8ujRyJb2CipzZcZ33Qc6rV66UksUK61aCi+ASKxewWMF86lOc4gVP7gkuNI0LDbm4N4GVz230oyPmZjFgC+TOqQ7k6In79Owuwz4eqtsfDHYkHkpswL+ZHQZeJlwj3AYtghM9u3ZRcvYYtJNobpRg9FVHNXHy5AnZtGGD5g//cupUzcrY8e128kr5sirNuoKWSrxm/rvCmMsB3jxAH4Ie1wSDfdEC+aTmq1WkrSHifn16y6gRw+WneXNl796999mxUPvBEfAPXML78j4IdLNmRr6cl7/I+YrhSxgzVsmZ8iuhyfnM6TNSqVxp3ZZ5X2S3ucVD3S0J57jn8eiujJDMYw/9Rx7+z//qDStqSL1V86Yyafw4rb7Maoif5zWnEkRiBVtDJAIGN14aDECbyzd4sWbNKi055gosuczWPqoVuuMTuLL+sniRFpqlajrxBFQDz5AmlXpr8btoLgeQkU/n//Pwg4cL7nLAw5rXnLJcjOvypUvIu4bcp03+QnPc4DLHwhVRTMG3s77R0Hbe0yV6FgWiKaMSDOcPcqbxHuatYo+coWP3gy7f9BwjY1q3Lu96Vn5zgUMTs9vcGwDpuoPQXTXTpkyquSdYXVs0fUPe69VDyxShrLdb9fuBIbNWjWp6zXEHxB97TSLPrRDMwB5CBRx3DmFbQVcaaLh546aGSeNRgtF/0oTxMuD9vup+ShIw1JPsdt20uDQlYzP33XYPBxjBAg7A5RXvK4z/7I4pWTag33vy/ezZGmaNfjqygHhXLPtNg8W4nnAP3wei//CD/lEqbgCChpz5ou4HXTOLDz6HQwd9qJFOrIqhCZnGDaGP7Td/YyxExYExi4rRlGea/e0s2bB+nRw+dEguh+FTbL0Q7gKpys0BQnulQjn1/bQITqCXHWjmAXOE+cIOtHK5Mlq0Ib5AKPTx48dVV4zKkvww3Tt30gRChfLmUqMdJEvKA1QPSKXMb6RUn0RsSPjFZwhVf0GyZkyr0jWGOtIeUFwYssdH/88/j2hq3uhi86ZNGjiG0Y/vw+fzXXp26xytBGNBQ86Xb3k+5O/b5vnNOzJu9EjVB3PhXTL2btwc9KKoPAjsGDdmtHwz82st17R921ZV2EdlVbTwYP7cH0Os2bQ+vXpGaatmEXjYvHGjCi1KYirIPKMV1+MCLA6UCUNKxWiHu2mHt96ShvXq6NzFgJYxTSoVsiBiig27u17v+c7fFKF1dcr8DQdQMIKdASl3kba/M8LY8uXLZOfOnSqJ+7OU2p7duw3pF1UVKaHbSM8EmZw5E3FovC8EBTmrl4bzQZDzhas3NdE8WaC4ENwUbkTom5X+5RQaFUj2NAv/gCT8bCGZAJD0VzOmOz0WwQq2243rv65qASQ9SPDNJm8Y4nL0h34EkbakIViyZLF8PmmCIc2uuouF1PCewBVNd7vP3DXc88j8diVi+jmGzzFSKp4WHMcnmaRCLZo3lYH9+6lr7SojeR8+bHbFYSQC8yfYYW/csF7Kliym6Xr5XTEJLPMnOeNJHCvkfA1C9vqgK85iR6pDtibcFG4Oq6Y3SXMzkQTq1qwuixctjHI+1cQApN7rN67LnUj4YKODx+jCZGCCqL551Uqn1yKYgeoAgYYGISKtropBXUAkYiJGMaTv2L5NM7ZhWGv/VmsVqhg/SJY88pkeQvY819QHZh67RMz3QYXG/H7puac0spH3KJI/j5QvVVIamYVlyKAPZevWLRrHEN/4dtZMwzk1ZN/evc6R6MGf5HzDCLh+J+cbXsTsfpC3twaWU9JxdnynveTOnjWEpMlv7BI0N5bn+DdPmjheXW4SOwiKWWG2d8OGDtYt39BBH6kxIzyjxZJfFodES7JbKVG0kBw/Fr0qDxaBhUuXLkqzNxrqXFGhxpAiqQUiAyTGixcvqO2B4Aq8dz4ePFjatmqhuWcK58ujhIo+m12XtyTsNuYnOmOOIxHreeY7kFIXHTPurNWrVlYVJRL3op/mazpgdNMsBIEE1Zn7wQ7jL3Km8T5+J2eiAcMjZxcEfvzy888y+KOBWg+PG+wOAG48LnVIfJALZd4TM9DvUW0lb46sIVF+JAQnU9nokZ/61MMxASlJhc6Pa/qEOZ8q3Lf9qLOziF+QR0LzbSCtmnGB90JYJEO48+pVq2Tq5Mnq3YA/MXknypcuKdkzpTeSrycaDhUJkq/3XHSFJrfRxzkY+JI++7S6sb7Z9A0ZOKC/6olnz5qlEahE9cbEYBds8Cc50/xOzhBxZMjZBavohnVr1bILGbNKe7ZKnkEACX2dqPWk/8iQjz7UpC1MEtIVEkFJ8U8iIHNmySj7fWzHCLYhGoqtKNtOdP3o9CwSDk4YKdQ1aLFgY1NYMG+u0+sJrli7epW6hZF7hihRjO7MLeYYc40dlTvnvImYuccx3pfGcwhZzzeP2TKml9ZvNlc3VqTvs+cooRb/Kor4RECTMyqN0B8QETm7wH/zi88myWvVqjj5Mp7QVZxEREeOHHbOSnzAZbBIgbzqTvTrkiUhnhbqUtW/n25rJ5vrFhoU96QChqcay+OaDGb92rVOr0VCwJ1/7mjBX5dcaRgKUXnh/1vJLM4QMsch8HtUFI5krESsJHzXmOeSMWSPVF2mRFFp3KCexhRQvR215EEjFceF0S6YENDkfD2UvpkWWXJ2cezYUd2qv16npmRKl1oHRGIGfsotmjaRb7/5xjlyF1SLQYqhGGVoEBJLUnYMrOw+ypUsrtn8LIIXSMKnTp3S5PtU7yFPORkZqboD4SL1QqoQLgQbYpQzx+hDR+yew3E3PwVjJH2qFFIwby71g3/DEHGH9u3k02GfyIL589VQhtfG7TuBpSsONAQsOUO/V2/FnJwB0iFFKuf+MEc2rl/vHE2cYEJi9CNdKUlh2GGQiQyLOhMz+YvPaupUb6BvJk8Bk5DGDqSjmWwWwQUKN+A9QcAFfsyotBrVryulixXRnRQ+wRjgXHUEDRWWKxm7hMzfkLHmNH/4QSVvclcUzp9Xq7GTr4PdF5GjuLGSntTWGow6Apaczffy+QHRIWeLe4HhtH2bVlqQFd1hyaKFdLvJ5MuZNbPs2bPbOdODC+fPS/3aNXUbCzkTjkpeaovABkLJ/n17NVEVmRPZMVWtVEEDO9KlTK7SMDsl1A+u6sGVmEM3CBhChozRE2cz46XOa69K31495fNJEzWAhPqCf/11JuC8J4IVlpwTEZCAZ0ybqvXNmGxk8qtVvZq0adlCK73ky5VDShkp6ty5e9UV5BlBT40rFDrEArlzaJUIi8AAuyG8J7Zu3qyZ0j6bOEFDslmAqVAD4ZLQK8mD/1a1g6tTZgzcbXf9ismZwjkuMXM8vxkbbVq8KX1791QPCtwu+UyL2EPAkjNJ9X19MUvO0ccff/xhJJ50uoX98fs5cvTonxrCSnAJdcyQmnGeD70FJeQ948uE0HoqPCBt8zqLuMf1a9fUqwI11NIlv6jtAPfRhq/XkeKFCqh6AcMbJKvRc48+pM8hWVQSrp4YQuY4UjNG3uQvPKdVf9AT45tc1iF1zkNixq1u7949usBbxA0Ckpy5/ZcMAVty9i/Yfj6Z5CGfwQVIXNRE7Nj+rfv8nKmYgYcGkxXJ6512bWxekjgEbow7tm3T9LXt27aWapUqqMcD6gkCNFAzQbJqsDMNg5yHWB2VhHmOpIw0/Izpx3BH41jubJk1GyO5ZzDWUUgBjx4SwpOtEWLmdeijly371flGFnGBgCTna+F8KUvO0cfgDwfqpAztn4yOkCCCR822l0x93kBSatOiuSFlT/4CfKFJNB7s+HnRIg3pP3XqZMDoSNER48Xw15kz6lq2ZfMmjYYjyTt+wB6VAykKPIZZ/qZ5qyi4RxyDUKmjyfn8nTr5S5paE1c4IvZer/WaIeRRss9Iw9d95Cgn8rbh63V1Meb9eS/qcFrEHSw5JyJMnzpNJWdCYJHGyKeBx8aEsWPl5eRJNcBk4rixztkenDp5QkNnkcqQzqizRm3EYAa60tJG8kTPSkjwx0MGaXFPPFjiElcuX9H82KTG/OH72Up+777zttSpWUOKFsir/vmQq0qv5tq7agYaqXJdFQXky/3BJkB0H6WRMqRJKbmzZ5ZXX6lo3rO9Lqg//vC9ulJGNrSY78N787m8P+kPzpiFwyJuEHDkTPYkyNeSs//x55EjUsQp6w4JDB44UFo0ayKVy5dVPTKW+NEjRzhne0A+Dc6HHJignEu61WDGnNnfaQY2Kt/gFgj5oSbo3qWTfDZhvLqaxQbQFa9Yvlx3LqM+HS59evaQls2bSuUKZTXXOKoj3NPY3bikqERsCNjVE9OQZLkXjz30gCT577/1/pCjvGmjBrrwfjrsY/MZU7Sm5YH9++TG9eipoLZt3aLJhViUddf0zFPy3bf3+8dbxA4CjpxJD3rexxu7zZJzzLD454VSsVxplayoOF67RjUNMPl16VKhYO20KZOdMz1AP41EzeSENJo2bnifTjrYQBFeQpCrVqygRX7ZuqO2QRUA0UHU/fu9JyuXLzNb/uvOq6IGjKyEwZOvYuL4cZoak+yI6ImpSZc62QtKtCwM5IHhs7nGLgkrGRoS5vFF8+ieh2ScPXN6qVq5guYK/uD9fvLNV1/Jxg0b5PTpU+Zzr8odPwV3uOoutwQc1+mNBq8H/f0PFgQUOUO5JNX39cZus+QccyD5UnBgx/btOqEBE47csxe8KodfvXpFy8YjzWFUgpxJhp4QgC4dSXbRgp+kzmvVNeEPxIhEijT94tNPqufD67VraqUMSqL5qh0HeaMOoXLIgf37Ze4Pnii7cqVLKhGjK9adh3k/SA6SRSqGeF3ydZ9zXPtMS2UWDb7TyymSqk8xO5bePbqpnpzCwqgmCHf+h61mLAIfaRYOvh+PfCfCrS1iHwFHznhp+Hpjt1lyjjtsMwSOdO3qPDOmTS0b1q1zehMOzv51xki4i7S8fY2qVbSmHERE0A3SIgVQa1StLP369DI7jCWqHiIjG7sM6ti93baN1rIjQi6tIS+uFQSPNO6SMZKnq57gb457EzUllLi+xQsXkKaNGsr7fXrLpAnjZKFZGLZv3apRdvGRCIhrw+LFdWAhYYFhF2AR+wgocjbfRS5acg4YfPvNTDU6QR5MTtI4JvRMYewe0EmT47qIIVtXmoWsaflz51SyIoEW6WfpQyfr9tNc9QTN9S3mGqIeYhfC8xyZM2oZJtRE6LrJO0Fuk/Xr12nOkkDyJ176yy9m4fDkVcFVj+yEhIFbxC4CipyvhhF44t0sOccdsNaTXxcygYC+mfmV05OwsWvXLpk4fqxUKFtKfztSr6sH9iZj+jjm9kPGPHLck5XNE+5MySIkadQTTRs3UGMggT1HDh9Sbw3004GcF5vCx+wMWFz4bSxKM7+a4fRaxBYChpxRnYVOrO+rWXKOG6CD7tThbXn+SQ8RUbaIKuUJBRi70CPv3v2HVoSZNfNrXYw6tH9LShQuqARMcyVgX80lYq4PKgr01eiLMfhRar+iIff6dWurUY3MiHyOL5/iQAf+1/379pFnzW/kN7OL6mB+k82hEbsICHJmBwfhRuaLWHKOGxw8eFC9NyAdJCaSIx0yx4IRN25c18AOqiOvX7dW5sz+VgYNHCBNGtXXEvmoGPDzhlxxTXP1q3eJ+K6+2G2uRJ3BLFp5cmTVJPWaka1bZ5k5Y7rmut67Z4+qKNyc2cEMkuxT9t9diKg2RCShRewhYMg5sl/CknPcYMFP84wE6MlchpcGRBYsydDRi0PGy5ctk88nTpAuHd/RIqDkhyim+SfSacgzZMxvY/Hhd7qqCRrkDBGRdwIi9iZmJGp2EiQBQj+99JfFGsSCvjqhpsbkd73ZpLEaBN1rQ8SpRezBX+TMe9yMToFXaDasJEe+miXnuMHokcPNBLyrWx0x7P4E/IEA3NvOnDmtARM/zJktQwcP0sCaCqVLSo4sSMSexPEUC1Wy9dIXQ8beeSfoU/WEISCep0mZTEoXKyplShbXkv2cD6HznuPHjAq3GG5CxGcTJugixvXiOuBquGFD4s6PHpvwJzmjNo4yOYeurh1Rs+QcNyDkF4kSo1a2jOm0wGZ8Au8FJPdjRjrFPxupGD0xlW2qVa6gel4IA5LFq4BHl4S9jXb8DfES0OGSMH7IEDlRdvgTE5jTs3sXmffjj7Jl00bVQ/MeEHcas5sYO2qk860SF44dPSrFzTXiOrODIOPdICs9xxr8Sc7mraJOzjctOQccSJheoUwp1b1CSFTKOHjggNMbN7h27aqcPHlC05wuXbJYxoweqYa1urVe0wg+gjuSGYKAKGiuJOwSMeThnXvCo754RNUZJADKmyObGuxaNW8mI4cP0yK3GDypTH758t/6Hc6e/UvatW6l78m1oEzXhHFjE3WEHLp6rgXXmLFR69VqNt9GLCFeyRld8xVDtL7eMKxmyTn28eP33yvxIYFCfGQwI1tabIOk/t8aaZhERJ2M5N6kUQNNtkOid7KqQa6QLN+J7+ZKwxCw93MagSCcSyAIUW24gvXp2V3GGpL/btY3qidGAkc37Qv79+9XH2RIn/dJ/3JKLRh8LQi9LfwJIkupmsP1ZdHj2n737Syn18KfiFdyRg8S1Q+35By7wD3qnbfahNSGQ7VBQEZsAN9ejGjfzZqpZfFJsoOKgerNzz/lqCYMCaB6cCVjl4iRZkOnzuQ4r0FlkdGQaVVD7IMGfiCrVqzQUO3Iun7duH5d3QjZtvP70TFPm/JFgvC6iClumWtIRRQWLO4BCyVVdGwSfv8jXsmZF/h6s/CaJefYxZ+GLIl+c63ytPlzf3R6oweMdscNOaI2oHLHJ0OHqE67Xu1a6j2BvpjJDhmyVVYifuFeqRjydfXIBHjwN32oKEoWKWSk+xrSueM7Wjmc+oabN27U4rV3bkeNUAm4+OiD/krIbN8J3R5Dpj5LPiGYOvmLkHsCOaOnPxHkmQoDEfFKzpBsVD/cknPs4rdflyoxQZBIragUjh076vRGjL8vXdLS96tWrlCSxMJP5rSG9eqqn6z73i7ZMrmRjJnsro7YlYCRWkntySMSNXk+ypYopsmI2rVprZnlZn79lWzbulXrHvpKTBQVHDp4SN7r2UPzKD/+8AOSKW1qGTd6VIIPWY8qdv6+Q/2cPQupx3vjq+lfOr0W/kK8kTMqjbBKUYXXLDnHLtCrQpJJDUGSB6JJw/phkh5bWWoJkiVt9aqVWliUNJYVy5aWPNmzStZM6SR9quRKthCwR+r1TGZXKqcPQub4U0keUjKGsNOkSCb5DJmXL11CWr3ZTMOpf12yRNN9slhQEfzWLf+R5okTx7VcE98NKR5dKtfCluO6H6iHevfsbu6ZR+/PjocFM7rpVS18I97IObxqJ+E1S86xB/IAd+/yriFRjyRLTcFPh3v5N5vLTlkn8hyPHzNa9bL169SUogXyKZlBbJ7KzXdL7btEzPvR+BtjHi56rh81ZIxEXcZIxW0NueOrTKrKdevWqsdGbOt68U5p3qSxLiCoMlCzELxiETZItar2AXNvuac8Jzzdwn+IF3J282j4eqOImiXn2APSI5nSIEsmXAoj0Q7+8IOQ4A7yFFOdO1fWTFrZ+aF//T9N6BPaYEe4MyWgOEZzVRRsg5nEBfPklGqVK0qzNxpJrx7dtHIHKpDdu3bFuQrh4MED8larFvqbnza/BR0ztfVu3rCqjPCAmyH3kF0G95zHDu3a2uvmR8QLOXNieNVOwmuWnP2PSxcvyoED++WzSRNCchlDtPgE409MyXwmIASLZAmRITG5OmK3cQyJGRJGOoaI82TPIuVKl5B6ZtuLwY5K3ui1ycuAf+y1eAx33rtnt2aJw/jJ7ypSIK98NX2arfQRScyfO1d3TO49L1Yov7mme51ei5jCH+TM63FXhjEjTc7R/VBLzjGHW/Xk54U/SZ9ePaR29WqaAChnloz3kC0EjVQcWjIOUU+YSUkfE9MlblQC5UoW18T0C83Wd9PGDbJr1x9y9OhRuXjxgqpOAgFI6LgI8p3Rc2P4pISXReSB7pl8G08/5slNQirRKV985vRaxBT+Iudrtzx8GSlyJgmHJee4AQlrkFAPHz4kv+/YLvPm/ih9enRXKRFLu0uuSMsQrjc5exMx+mHO80jFT6rUjAqAjGz5DLFhBOzW+V11uzt/7lzA+wRjzJz59QwlFKqQTBo/zumxiApGjfhUXnjKM3ZY6Fo0bZJgkz/FNeKFnCMqRRVes+QcNvCqIHk7qT1XLFumhUW7de6kHheEY2fPnEEJF7WEKw17G+u8SdmdbORzhojZvubKlllKFSui0tLHgwdpwvWVK5ZpyPOlSxedbxE8uGi+s/pGD/tErieyJEb+woZ16+9JJZrXLNZ/7Nzp9PoHCBanTnlqXYYGOyCEgb/++kvOejX928yFYHaDjHNyvnXH95tEtllyvgsG3vZt2zQ/8YjhwzQhers2LTWvcKG8uZVUMdxhrHGNfBjqvImY5y5Bu8f4m3Sh1atUVo+MIR8NlCmffyYL5s+TzZs2JqhcChhBLTFHH1w7cp6w2Ls2B3KV+Ass/q9VqyJfTp3iHLkXO3//XRfY1i2aqxun29q0fFPatGqhObWDFXFOzlFJD+qrJVZy/ufOHSWSDevWqpsZuXTxyy1RpJAGS7ik6hpnaJCxS8BKwuZvjnEOkg6SMbpiiNh9D85jomHAO3DggCYgsgYyi/BAdkA8ewinZ9yh6kKFFlNQpxB12aMP/EujSn2B0P+UST25uRnbnqAYxvfj8vTjSdT/PlgRp+TMOb7eICotoZMzREgIMQl5MNqtWrlShn8yVFUTRQvmVzc29agwBPrko57oOYgWYvZu3iRMg3jTJH9J9cQkriHkGeli0vjxsm7tWmn+RiMlZciZgU70nYVFZHD0yJ+q7mKxZ/wQvIT9ISY4fvyYtHqzeYirJjtDXyDUHq+ijwZ+ID8vXCg//vC9p30/R76fM1vVG8GKOCXnqOZu9tX8Rc64cMW34QKjGVFVqAm2bdkss7+dJUMGfah5JxrVqytlSxXXEkoQKwOfSCyS+rhkzHGN5jPPIWv1JXbc3JI9/6yW6S+cP49mZGOyjB7xqfoTr1uzRvV4bmpM1COvVCirpMxrmQxf2wKeFlEAkq07fhiH5czYJYAoqmBO4OHTuEE9JV1sHYzHkZ8Od864C+ZO8yaNJH3qlHJg/37naMJBnJEzeWMuhXphdJo/yBlSHvzRQDWYxTUYsOvWrtG0lVRh7tOzhwZjlC1ZXDIZqRaJF/JF6mVQQrocQyKBjLU5/sVsIT2EnUTSv5xCihcuoMmE3u3wthrsyHewevVqzcUc3kJEWDREzucysXJnzyK7d+9yei0sIsauP/7Q3CeuOi1NyqSqfosq9u3bq8T+7BOPSed3O0izxo0kyX//o3MlNE6fPq3nFsidIygN0hEh7iTnACLnaVMnK6GR/4FBFZvgm5IL4relS80WbIC8WrmiZEybWlIlezEkiMNVQdCQPDyS712fYv6GOKlnx/dm28h2DxewUsUKS4+unWTWN1/L3r175MrlyypRRMWV7ZMhg1Xixlj42EMPSMvmzczRmF1ji8QFRku71i11h8e45bFls6ZR3p3+8vMinQ/du3RW9R6+6ESi4rIXGkR3EuRUr/ZrzhHPLjChwF/kfDUicr5hPsjXi6PaYkrOSK0F8+WWp1EBmEY4MkneY4p//rljVu9LcujQIVUboPNCMu/RrYt6PWROn0aJD2J1SRjiDd04zuB0iRjpOVXSF9WNjbp49evWkrdatZQB/d6TOd99p5JGTEAgAR4ZRMnxvfgOX8+Y7vRaWEQeqMwQOhi/SNAYq6NaQWf79m0yZtRIuXDhvP7drdO7YZIznkqo/TCMz/7uW+naqaO0b9tahg7+SFYs+y3oDdkxJWf3tXjIgTDJ+bJh75iuArSYkPP2rVs19ywVNVjdkUaJDhtNvt4o4uLFi4aID2qOYsJY2Xa93baNvFKxnBTIk1NLGjFIcWNTo4YZrHymKy17E7ErFTOgUyd7SdUK1LOr/kplHWwYQ1A97Nm9S/Mi+7Ow6Pnz57TSCQsBn1/YLFxHjhx2ei0sIg/sGCSvQjXGuGacU6QgKgi94wuPnEm0hHEcwYcakDmzZJIMaVLqfGMOsVgEM/xBzuQwcuGTnIkI9PXi6LTokjOqBUgIF5sQ6dRIpVTgoCRReHANd+SfQI9Lzl+8G6q/Uknr67G1Igcw+SRc9zTem8/wloqRTCFAV48MKfOIGxtFSgcOeF++mfmVLF3yi2zcsEHzIhNUEtkKHtHBls2bpGDeXPp9+d640NkIL4vogHH6ft8+Oq6ZY5Dka9Ve0dwt0UV45Dz3xx9U+MmeKYOGja9ft1YJ+6OBA8znPyX5c+dQgSZYESfk7A8vDbdFh5x/37FDqleppMToqhN43rJ5U7ly5Ypz1l2gnjhoiHi52Rp9/tlEdXJ/1RAx/pshiejNAPRu3qqKkH5DeJAeUjGPSBJZMqTV3BN8NtnY5pjtGLXszp47Gy/bMIJL3O9MwEqPrl3MJAvs0GuLwAV+xdmoMejMCcLjF/+8yOmNOsIj53Xr1qi3BjlcvIFv/lttWskjD/xLhg0d7BwNPsQ6OdN1zXBOfJHz4UMHVRpkhXXJk8daNV6VLVs2q2SKURB/YtQTE8aO0cKiJHrHsR5p8kVDXAw0CNabhN33cguh8hkY1lwSLpI/r7xSvqx+fttWb8roESNk48YNqhIJhJprSDqdO7yj3xtyTvniczJj+jSn18Ii6kCwqVmtinoRMQ9QG7Zv2ybahrrwyDk8sCDgilevTi3nSPAh1skZXbSvF0a3RYWcKV3UxpAixAOJMlh4jl9k544dZMD7faVB3dpSsUwp3dq7PpWuIY5zXRKm8XrXr1i9JswA5DFdqhQqVePKxvv1f6+PfP3VdFm5Yrns2bVbY/1jUzURXfz9998a6u3qm4sWzKcliCwsYgIMyslfeE7nDxJ0rqyZZcvmzU5v1BBdcsYQSZ6P8qVLyk0/VsyJSyRYcr5y9YqRCt9WUkXahVhp/I1qIkv6tEqylM5HOmYQuWSc/HmvkGcvKZnzHnvoP3oMw1k7s3UaPWK4fPPVDM1RvG3bVjl+7Jjqp4MBGHDy58puFiKPZ0jDenVipB+0sACoClu3eFPtLyoUmbkzbuxopzdqCI+cMYzj1eFL8PnzyGEd2wheweq1kWDJ+fNJE1QaROXgErM3QRN/rwOHYw758jcE7VZ35jmSMo0tP0UtSfIyY9pU+X37djMILzufFpz44fs5+rtYmCDnTh3eiZJ/tIVFWCDnBfOHxthqXP/1aC38YZEzGRi7d+kkTRo11MINobF1y1b14qhbq7pzJPgQ6+SMA3RMPiB0iww5/zRvrm5pGBShiZnmEjGkpARuiPhFQ9Y84nWBK1ytGtXUjW3Qhx/IjC+nqWR8YN++BOPJcNtIE+TWwAjIBEKNQ+pMCwt/gKK/BfPk0jnI2KKizppoJCEKi5wRIhoZwn/msUdlyeKfnaN3gXsskjueG8GKWCdniDSuyBmjA/7A+AiHRcw0l5wJl6a0To1qrxiiai59evXUUk3LDBEfPfqnqicCUVfsD+DzzYThOrFI4S+6auUKp9fCImZAsiUohF0oiz+GciJRo4rw1BpzvpulqsbGDV7XDHYADli1crkUK1xAJedtW7fo8WBErJIzKg0644qcN2/eKMWLFJDH/vsflYJ9ETPHcVDv3aObLF2yWA0HBHaQsBsdViB4UcQFpnzxuUYFskgxwCuVLW39my38ikULF0iGNKl0zj1rdqjFChXQWIGoAG+if/3P/8inPnZ1p06ekDqvvSpJHvy3VKlUXsaNGS09unSWLBnS6GdSrzKY4Q9yprCJi3vIOaZv7quFR85kpho7eqRUKldGpWMMXazaocmZUOhBZruzf/8+55WJD31791Jy5jrxGNMUjxYWoXHq1En1lmB3lszMPbybenbrHKXdaO+e3dVoP94Qry9QdQVD9ktmXj/+8IOqpstoFoRBAz/QmpXBDH+Q8zXzHi7ilZxdQNKjPh2mbmKpkr2gkiGJ5iFnjHts48lxUbZkMc0Hi0+kr2CUhAok5Dca1JPnnkyikjOTJzoZxCwsIgJpDRhnGN2x7+TLlT1K6T2pdDLvxx/CzdFx5sxp9ZgiJe5nE8arWjIhGLb9Qc5OWg1FQJCzC7JWjR01UvNdQNIYJiAjSFolRkNK/E0NNHRbUd1yBSuoUkGeZ64H4ey4Fe76w7913ywsALtTwqiZa+xiiRgMq+SUxb3wBzl7Cc6BRc6ALRS+x3hwlCtVQrc93iTNgCFCLn2q5LJ6ZfCWtIkKvpo+TdON8tu5HiT2v5qIdg4WcQdsOGQ9fPzhB0JUaA1eryPnz3myzlmEjZjwJ6/DU86bKQOOnL1BDgsKQWIQhJjZZilBPfaIGsTOnD7tnJmwMbD/+5rvwzUGfjjgfafHwsL/IC3Cy8mTegyDRoLG5kPCLYvwEVP+vOmt0zC4h5zJ4RxI5AzQt5LQqGund5WkIWii/nBoTwwBGDdv3FD/Zlyb0L2jg8eP28IitkAZtmqVK8ozjhqR9vmkiU6vRViILjnzGm8XOhch5EyXv3I4e7eYkrMLqizg6tO/bx+pWK50okkwf+rkSalQppRKMCxM+IKuXL7c6bWw8D8QejC8k6XRtfVA1ufPW9VGeIgJOfPa0AghZ/rOh3qRP5q/yNkFOrH9+/bp6p4YsOSXxVqtwg3ZfqViWfXztrCITWzatFHy5SSPiyezY7LnnpEff5jj9Fr4QkzUGr7CNe4h5+i+cXjN3+Sc2EAdQwpmsrWEoHv16GbzaVjEOogYpEAFxnekZ3yXqTGYUCNw/YGYkHModbPCknMAA307+W3JsYvfN/rmaVMmO70WFrGL6dOmqtRMwAgBYlnSp5E1q1c5vRahER1y5vzrYax3lpwDGFR3yZ0ts0rMeKmkT51CVtt8GhZxhHPnzknjeq+HpA2AoAd/ONDptQiN6JIzlad8IYScEastOQcWFsyfp8TMttKN1rL6Zou4BBnkUib1+Ng/+8SjUrdWDTl3/qzTa+GN6JAzuTRuhaGlDCHnmOhLwmuWnKMPPFOeeewRJWdUGxS3Dfby8RbBhePHj0nJooWVmFFxoNr4xUfKT4uocyjnXrkVNjeGkDMMbsk5cEBJqpqvVlMPDSYF9dUW/jTf6bWwiBsgDGCEZueGagMVx3u9ejq9Ft6INXL2d6pQt1lyjh727t2jNQ6ZFEREVqlYXtOkWljENVYuXyY5s2RStzok6NLFi8ixo0edXgsXUSXnS6aFVzjfknOAAv9mtpBMCEK2u9oUoRbxhAvnL2jGSM0WifRsCHpg/37yjy//r0SM6JBzeOnoLTkHIAi0GTroIzXCYBB84ZknZcK4MU6vhUXcgzJSrnEaks6eKYPW5bS4i6iSM7wYITkjWludc+Dg4sWLUr9ubc1Ax4SgJBWStIVFfIEycEXy51V3OgiacTl+rBUYvBEVcua8mxHEkik5+7uoq3ez5Bx17N+/V4oUzKfGFxIekd/62LFjTq+FRfygb+8eIalEyZL4eq3X5Oxffzm9FrFCztcsOQcUNqxfp8Vs8dLAIPjuO+1s2KxFvOO3pUslxQvP6bgkKVLGtKll6ZIlTm/CAKkRouuuGllydjkxIpW9JecAREjY7LNPyUvPPeWzWKaFRVzj0sVLmk4AnTNjE2P1sKFDnN6EAZKq8ZuWL1um1fyjgqiQM9qKiGDJOcBARfHG9euGTADKBP0wZ7bTa2ERvxg1YniI4MAYJZXoXwkoQ+SMadO0sEeh/HmkZ9cuGiF59Wrkqg5Zco4nsIqSa4DgkMjg0qVLatiLKlauWCHpUiVXgwsqjTzZs2jFYguLQMCWTZukQO6cKjW7+Ta+nTXT6Q1u3Lh5Q/XoFJNWz5TnntH86V3e7SA7tm+TOxGoFqNCzuEFn7iw5BwBWDW/m/WNtG3ZQuq8Vl3eaFhfRg4fFqYTPnmmcTsiYUzDenWlf9/3ZNvWrU5vxPigfz8tSY/RhdLxTRo1iPL2ysIitnDz5i159532KjggYZJKtImZEwnBJkIprrQpk+mOgN/G4sMugbSpVGHq27un/L5jh7kGN51X3IuoGARDl6TyBUvO4QBLdL8+vTVVZ+pkL0q5ksUlR5aM8tSj/5WGr9eRfXv3OWd68NfZv6SjGbisvDkzZ5C8ObLKg//7P1K+VHFZv26dc1bYuH7juhI6LnQeZ/8khug/dXotLAIDs7/9Rscnqg3IK2OaVAmi2PL2bVulQd1aOt/dTHyQtFu/9KkkD2nR6fd69ZAFP82Xa1evOa/0gNSfkeFR3JYjA0vO4WDmVzPM9uZJKVOiqOa1OHrkiGzauEGLziIxtG/bWi5f9uijCBwZN2a0uYlJVLreumWzudnbDLn30pvdqnkz1SeHB6Tx8ubmP2veA2t4mhRJZfmyX51eC4vAAIWVX32lkqYVYIcHkXXvHPw1PfHSOGLm+MRx48zvq6gper0Jmt8KSbMgIUl37dRR65u6O9vr5udbco4DXLlyRZo3aSwvPfOUrFpxb82+fXv3SsG8uXQLtGnDBj124fx5qVKhvGR4OZUcPHhQjwEqSrRv01qljFUR5GJevWqlZMuYXvVdSM0F8+SS06dOOb0WFoGDhQvmq/DgjtVK5UrLiQSUzvas2QX/NG+eFMmfR3+jS9A0CBudO2SNy2vblm9q7vWbZnGKiEfpj8i/2YUl5zBw+NAhKWxuTMkiheTihQvOUQ/QrzWu/7quoAvmezLFHdi/T7KkTyvt2rTSv70xbfIXkuTBf8mYEeGrKAjRTv78s0rkSCVNGzVUidzCItBw5cplqWakS/SzLxryymxIauGCn5ze4AISMyrMgwcOyLatW2TF8t/UztS3dy/Jkz2rzkdvcr6HpI0kjW2oUb26cuzUGblipqsvHnQbfHg7klNayfm6Jef7wNbtww/6y5iRI1T6DY3WLZqZm/akzP3hB/178c+LVH0xafw4/dsba9aslrRGymjTonmYZEtJqrdat9TBzk2H+D+baMvRWwQuSH6E1Mx4RbXR8e12huh8G8sCCVTyR8r/4/edMm/uDzL84yHSrnUrea1qFRXGsmVMd4907IuY3QZxc857PbvL2YuX5PJtP5Iz50Gelpzvx40b19VbIzShXjCSdNVK5fUG/rp0qR4bO2qkut589803+rc3Dh48IMUKF5BXypeVq2HonU8cP6FpQRnkEHPmdGlkVQIwslgkXKxds0qN3mz70cUWKZBXjgZgKlFcWnEBxIb04YD+6m3S4PU6UhYDf+aMktIIVXx/BCNsPRAucxvSDY+cOQdPjnfatZW/zpwW/FUi4tEokTMnng/1Bv5swUzOYeHXpUtUEi5RuKAcd3JeuIY/SkuFxsmTJ+QVQ7zFCuYP00965++/m4GezaPDM4OkeJGCsm/fvd4gFhaBBAzcrd9sFiI9I1SMHT3S6Y0fXLt2Xf7884isWrFCvpw6xUj370uj+nWlUL5ckjrZC+oJhdEeEkYy5jt7EzHPIWeO05iPvtQanEeVonq1a4a41UbGWyPK5BzRG8akJTRypoZfreqvqk7480l31Q6snlQr8VXCB33Wa9VeUQPfhQvnnaP3YtY3X+tNZyBw09FhXYpGEIuFRVyCOfDSsx5Cg6RzZcuivsCxjZs3bmhk4iGzK8Uzau4P38uggQM0LqB4kUKSK2tmeTn5SyoN49qKdxVkyxxzSdibiF942hC1Y/gjZ0geIygVzpdHar1aVd3ryAzpkjSvh9jZPR86cMD5RpCzh+988aDbLDnHEhgMnTu8o8TcsnkTjQJ00bJ5UyVnX6k9z509KzXNTc6fK4ecO+e7OCaGxKcefUgHQFLyaXwyFP88p9fCIjCBlIqe1rWV4As86MMPnF7/ABc9pPRTZge6ZvUqmTR+rPTp2V3n3GvVqugONmvGdEqcSsZmHrk1DyFSdrQ0l1SZvzzyfTlGRG6RAnmkWeOG8snQwfLV9C9l8aJFsmPbNtmwfq00bdxA35vzk5vz+YzypUvKxg3rnW/oQUTkTN/VyDKzgSXnSAKXNgx63NjKFcrK3j27nR4P3nmrrQ6AX35e5By5C6IGq1etLIXz5/UZ0s17lypWWMmZ1ZsKKL8u+cXptbAIbHw0oL8SVjJDXkjPNcxYx6AeXfxjyPjw4UPqevr1jOky5KMPVXjhfQvkzqEufBClq3ZgzrjqB8jWlW5prkQPYaMfxne5dPGi0rRRfY34mzhhnMz98QfZtm2LzkNvX238l3ubRYD8NkrM5n15n/zmO/y29P5sfJEh52uWnP0LXG369uklSf77HyXOlcvv9XsGfXp2kxTm5vkqwnryBMa+slKyaCG1FIfG2jWrJZPZSrGaP/fk42pYwZfawiIYsHH9eiUwyJKWzhDg/Hlznd6Icfu2RzI+cviwIb1fZEC/vlo/E2EHQlWp3JDsS877e3aX9xrseKQPw56rS6bhmsrcKlOimLz9Vhv5fvZ36sMcGUyd8oW8aD4L4uczeO8MaVKF+dsio9aITNi2C0vOEYCVdMrkzyVNyqSSK1tm+WzCeJ/5XsmnwZZnznffOkfu4tDBg1KiSEGpXL6MGYRXnaN38eW0KSHbrGcef0ST6//tpTKxsAhkXL1yRRrUrS3PPOFRbUBifXr18Ok2yjEM5Js3bVKSm/LFZ/Lx4EHSueM7UrVSBUmT/CX1G4aQlVwNKXpLwu7zpA4Zcx4ETgImwsgpUlGzWhVp/WZz6dW9i4we8an8vGihekyFRlhureTOQLVRIE9O9WPmMyHojGlSy9QvPnfOuh/hkTPHKQUYFVhyjgCzDdmmT51cfR8ZTGElePll8SKVHr74bJJz5C7Wr1ureq0WTd64L8QVv1DCwJ945L866Ng29ejaxem1sAgOoH5A0sX3HzVCxXKl5c+jf8rly5dl9x9/qJru21nfqIqicYN6qsYjTw1RtpAfr/E22rlNidgQPtIyfZwH+TPXchthqUKZUvKGeT/yXXw1fZrZha6RA/v3q30orARFEeGn+fMkS4a0+n1cYubzPhk6RG5cvz/mwYUl5zgEeTSw2uI2R8RQeGBAQOBIAKExfeoUefTBf+nNDY0jRw5rbTYGHNs2EixRit7CIpiwe9cuKWqkVtzUIFP0wnVeq6G2FnaN6IpRCWI0Z5fokizEx/k0l4ghYV8tXaoUUr9ObRnx6TCZP/dHNcjt2bNbJXF/Zm5c8NM881nJPHPSLApI57jKktIhPFhyjiMQFdi9S2d5wmyxINzz586pvphQbhq5NHh0V+e/L/2tKUUZlOjgXOAO16heHbNdS6pkHxrLfvtNdWIMPnww69euGeEgsLCITzCbmR8Y0PBoIAfF0MEfSf7cOXUcuxIv5AaxUQcTEqa5RjuXhCFqj474Cf2bvvQvp9Rk97iftm/TSkZ9OlyzwLEAMJ/CUkf4CxA93iAYGllEyI1z6VLEbq0R6Zzh2qjAknMY2GBWZbZdDC62YRA0Hhluw3pMpNEGr1SgRCAx+CqVK6Mr++JFC6RDu7fMDX5Uurzb0WfWLnRYqZI+rwOTgTBm1Ainx8IiMIDggc4W9Rxb/ilmzH6ET3GD+qqXdYnWWx3hErT73D2H+YTqjsfUSV/U7G5lihc1gs2r0qp5U+ndvZvM+HKabN26RQO2fM2ZuMDff1+Sbp3flaaNGoQEmkWEiMg5CrZAhSXnMDD721lqmUUnhr4Yidi7oYPCWX3O7LsGQCRrtj9pzGtQhaQ3r2OAIlH/8ccfzll3gWGRVIs4wCM98L6LFy10ei0s4h63bt2W06dPy87fd2i+mC8+m6iCCSk0ixUqIDmzZtTgDoQQX2oJb3J2SRkyZnwzHwj3rlC6pEYWDv9kqLqebt+6VYNJCNAKpKT9Z8+elT+PHHb+ihgRqTWiTM68wJLz/SBD1Y/fz9H6fZ5H03h0mzmOf+Sff/7pvMID/Jh/XrhARo34VAuzzpr5tXpr+AL6Zs3fbCRmJIl8ObNpGLeFRVwClR0pCT4ZMkjeatVSalWvpga77JnSq474hWc8uTM86od7w53d5h7jEeJ2iRnhpl2b1mooZ86sW7tG5xaSaWyrJ+IaYZEzx64YDozqz/2fy7fufzN/tmAl57iA69+surnHHpHqVSpH2gfTwiKqQE9MVCuS8d49ezXFJ7knCO7AWId95dEH/qWubB5jmCFiR0cM2brkS4OkXT0yfewuM6V9WfIYyZj3cs8h7BlXtsSA8Mj5ZjQ2BP9z446VnMMCK3tELSZAdZLiRY/1moH8/nu9403HZpHwcPPmDY3UW7NqpeqJIWLSetavW1vKligmWTOkU6PXE488GFKWyQ119lZLMD51jDpkzLG0hozxMmreuKH079tHJowbq/ktNm/aqJnfkJ4Z07yuXdtWcvly5AojBzPCI+cb0SFnq9aIPwz5aKCGgzPgkTwgawuL6AAPA9RkhDwTCDXy0+FaRqlenVqaNoDxBdlCmow3l3BdFYRLxBAqRI2eGN97zsG2QnRrffNevOeI4cP0MzAQ4rGBx5K3ULF58yZNUs9rkcBzZs2k9fkSOsLTOUdLcjbvZ8k5HnDx4gWp+WoVj+O9mSy5smUKKXllYREeUE9grMKWsXXLFpk/d66W78efGGM06gcM1kjAkC0NH3qIGAKmuZItqTNxdcPukfTZpyVdyuSSM0tGDZ8mqVDP7l3VMHjixHF18eSzIzLaEYqNhA4581kQ9MTxY53ehAtf5MzfV25Fj/8sOccTiCgkvyyThMFbrlRxOXXqpNNrYeHBdUOGhPKTM3j1ihXqetmrezdNKUt0HJFshBhjs2AcQYbeumFXX8xzyFKDP8xj8hefVe+gzOnTSOniRTTKbkC/92TalMmyYvkyzXMRE7UdknXI+DafWaxQftm/P2HnJ7fknADAFrBj+7fM1vG/Kt2wheza6V2rb7aQK5cvq9vl3B+/lwljx8jAAf3Un75+nZqaX5jxgsEO453HaHfXYEdziVklY7MjQ23GuVTpQb1Q/ZVKmgCIElOTJoxTz6NtWzbL2TNnnG/gHxz9808VOPh8vhNjvG+fnjG20wQywiJnnC6iA0vO8YC//jqjW1BCXRm4SDS45VkkLrAYQ2JU7SA3xdAhg7SSc8WypdWN7eXkSUNUExppZ8iY55Bwihc8+YndBhm7Ol50yhjsyLNMIeKe3brIF5MmypLFi2XP7t3q7unPcOewMOzjofq9+X48li5RVI4fj1xARzAiLJ3zrWjKXJac4wFYtNHrMZloJHDZtev+IBWLhAWCjvDvRU88cvgwqV6lkuTLlV1VExjsUiZ9XokVgmVcqK7YkYw9zSMRcw7N7edcdMrkr2jTsrl89eU0+f337ZoI//z583IjDojYF/7Y+bvmm0GVwvfD5/n7ObOd3oSHsMhZ492jAUvO8QCkZCYjk4sSOlUrlteisRYJBGbrTrQoUvGO7dtl+fLfZPasWfJB/35aWDRnlkxKqGz5aa5E7O1T7OqJMdjhPYHkyWtIjEVaAXZer1Qoq9GnXd/tKF9OmSw7DRnGhUQcWeDFgW6cnDH8LnTPnTq8rUbFhAhf5HzJcF90NTmWnOMY6NzIS4DEQ0Mf2K3Tu06vhTdIp7pmzSrZuHFDQNdTVH/iM2dk3949snzZbzJp/Djp0qmjvF67ppQvXULy5swWshi7SYC8jXXJX7zrW6wL9qMPqT2Cc6jckSNzBk0WTxmlYR8P0bwt69asURVFTFJjxgVIbu8d7o0XyP79CbOQRGhy5vnNGJiRLDnHMZjEtWq8qpIQmbhweZr7/fdOr4U3zp8/p4REhjLqxX0+cYK6kAUCDh86pEEXoz4dpkT8RsP6WkyBCuovp0iqJMt2niTwKhU7ZBzSXKOd6aM82SP/+T9J8uC/DUk/rxIx/sT4KhP+/+vSX1RFQKHgQMo9ERkcOXJESpcoouOda8ACRIWRhIjQ5HzeNEvOQQQqBSNJqUuTkSSKFsinbksW92P/vn1ar+2xhx7QHQYSZ91ar6lkusVcx2tX768q42+QLJ78KZs2btQcK2NGjpBunTsZIi6rCytb9pDKHaoHvisVu42/CYXm+6OaeOGpJyTZC89IpnQvS8miBaVe7dfUg2LwRwPVeyIhjQeketJv8ru5DlQtIYnS5b8TXqUfb3LmkfzNUU125A1LznEMagymTZUsRLKqZ7a+gbxlj08cPnRQvQ3QsUKE6F6RLpnkBfPmUulyyeKfNZFOTHWtt2/d0rwTEPGObVtl2W+/yvgxo9XABhGTlIoySHw2kXOoHriHkK+rkvCQsBPc4RAxf+N1gZ6ZLT3v1bxJYyMVD5NfzHff9ccfmusikHTF/gbJjlwDONcFvTm/PaEhNDlfjaYLnQtLznEMapohMTORIWdyxvqqSWhB4c/bqj5gIo8eMULVBmRJI+ACkob48HR59ZVKKp2hh40syd0yEh35gnf9sVOr3PTr01taNGuieuIKpUtoAh+i7SAU6jryma70BxFDyBCzu8iycPBcdcimkfynRtVXND8xeS0WzJ+nub/37t0rf509m6h82q9cuayZ7pCauWY8tmvbOqB15dGBJecgxvVr16ROzRoe/ZshllRGgpg+barTaxEeIGokZPyBW77ZVHJkzqiTHH2tu9jly5ndSLpvyqyvv1I3Mm/g20s61vnz5snEceOke5dOUtfcCyLXyAwIoSLVhTRDxJAt73uPesI0+pWwzX3kOIV/q5mtOrUgP/3kY00vCxHjrUFQiYXoAsViSmORy545gxp6ExJCk/M1yDUGsOQch0CHik8rE/95M8HxS922dYvTaxEVrFyxXLOrkZISI5oSpyFTlXSNJFu6WBGZ/Pkk2bB+reYSbtq4oUqzuK5BqpwH+dIgDG8SdqVfl0iefeJRvWecg2cFtewK5cstTRrW14TxG9avk3/+sdGd4eHylSu6k+D663U01/ezSROd3oQBb3JWFzrneHRhyTkOQfVuBuWLZtKzFbb5m2OGq1evyrwff5DOHd7RYA5vgsVQl+ql5yV3tizm76fVqAjRuuQbmojdAA/OQZ+MVI7qIr95X6TiZm80lO5du2gZf6R3sqyho7aIPKZOnuxZRJ3r3OrNZgkqlagl5yDGhwPeD9mCsx1nGxxsrlHxjZu3bsmfR46okQnviYnjx0n71i3VAyapF9lCrJCAe71dox2E7JK4SxJI0qgqMPgR3EFgR8e328uYkSPV4Ehl9VOnTqnnhkX0sXfPHt1xIJhw3bNmTCcrlv/m9AY/LDkHKTB+1K1ZXS39EAPSGbkHLMIHhjOiJymDT7Ke2q+9qgQKGaOmeDnFSyGE7Ku5JOxd3RlyhiDoL5gnp9bII+0m7nIEdpw8cUIuaXFRO279iZs3bsi777yt196zcCaRoYM+dHqDH0rO1z2cF53k+qFhyTmOgH9ztkzpPVKDkeYo6YOu0sIDdhDnz51VciRBz2cTxqsHBuG/JYoWVCJmQj+V5CEhBzbXEb9ijrmSMM2bmDkOIeO6BZlXq1xB2rZqIQP69VVD7MoVy9Rol5Dd2AINi39eqGPfNaoSQXn06L11OIMVkPN5Q85XIVU/wJJzHOHLqZOVSGhso5u/0SjB5hiICCRjp9z8ls2btL4cRDl86BBp36aVmawlVb0AqTKBeWQxQz3BtfMmX/qQvtiFYGjCF9rt41zI+vXar8mYUSPkt1+XqkR88+ataOc6sIg5Tp8+JVUqlg/xdMEF8YP3+8mdBKDec8k5pl4aLiw5xxFIZI6ezZX0Zn0z0+lJ+Lhy+Yq6wVHWaOZX06W3kYgb1K0txQvlVzc015WN6+MSctLn7krE9Lk6Y0jaDQLhGMEN5J3ALa5gntz6GqLxyE2BEQ99sUVggYx8kDP3kx0QLpDsmIIdrlrjpp/UYZac4wBkKGtmJGWS3kBAubJmkj17gn8whoUrV6+oGufrGTOkT4/umh+jUvkymuwd6ZZrAMm6ROyRcu+qJmgekvVE23E+3hNMZKIFCRT5aGB/9Zogkm+/IWAmfMY0qVXKxhe5U4d3tIyTReCBBRNCdndDBBZN/3Ka0xu8QGK+ZPjOX7DkHAfYu3ePlCxWWAcjEkOlcmUSREkqjHV4MLBVhQjXrF6l1TsIeSa8GoJ95IF/SZL//kcj7CBjb2n4PiI2/fgT8xw9MT7heXNk1TJK+BR/PGSwllA6c+a08w08WL1yheTLlU0JnM94o2E9G/wRwGDcECyEeyP3n8W3XZtWcZIrJTYBOV/3Y7CvJec4AL641GvDvxkCIUz42rXgG4ikO8W3d+fvO+T7776VwR8OVB9j9OdVK5WXAnlySuqkL+oChA6YSYfqwW1KyIaIPbriuwnlIVT6IGJ8vwlpHzXyU/n2m5magnP37j/kXBjZ6CjnRMAJUjWf26h+XdmbALbICR1k9COVqDsW8FPfsnmz0xucgJxv+zEWScnZF6n6q1lyFg1cQKWhW3hDThioggG4sJGqcsH8+TJp/Fh5r3dPadqogZQpUVQrXEC4SLk0V1XBb0QShmx55G/6IGv0wBBoSvM6SudXrVxB2rVuKUM++lBVFEjeFAGloGlEuSf+Mf1E/hEGzHvTmjZsIPv2JsxcwQkNpH6lEgzjQXdNZpxQ0zCY4W+W+x/+u3bLQ6K+yDWmzZKzmC1cixBJMlfWzLJ61QqnJzCgvsTnz8vRo0c1EdDqVSs1uAPdbhpHunFJVwnXS1fsHnMnmEvSLlEjHZEsHle2UkWLSOsWzWX8uDFGGt6l7nPRKfjJ96XyB4noua5IzfXr1JK/Tt+r7rAIbOC3/tyTnqhN3Opeq1ZFc6BYeGDJOZZx6uQJKVuimEoIEFalsqXj1a+TDHhIxES8oZ6ghD2VWVq/2UxdnPLnzC5pUryk31d9iUORsKsvptHHpMIdinNeTvaSZE73shTKl0fzLvfq1lWlITKy/W4+69y5c863iD5I7TltyheSNUNaDdFmR9K0cQNr/AtC4L2DOgO1ljvGSHFg4YEl51gG6SjZxjMAITw8F+Lav/nYsaOy7NelmmgGaYVS+6gnKpQppQEBfC+Pr/DDSrihSdj7OZMI0ub8dCmT62KDDr1v754a7oyeeJWRvMmL7O/Q9Bs3rivZYyjEnS61kco7vt1ODu4/4JxhEUygvBc7KcYfY4xdEEJCQkslGl1Yco5FsGXHCp3kv/92tm6Pqt42LkBtuXlzf5T33+stNapWUX9iqh+jJ8aHGPUD34dFIzQRu1KyR2r2qDTwtkBS5ThJ4/v07CHzfvxR9uzapZ919eoVQ8axm5kNCZx8DHwPDKtE+120hXGDGmNHjdR7ybhjZ4kKbMf2bU5v4oYl51gE5YYos+Ru+yHGRQt+cnpjDsj/4sULWqcNaXXGtGmGjPtIk0b11XWPSDtXYndVFC7xMhlofC+Ocx75J/TRHCOjW9YM6dT4h5Tdv+97Mvmzz2T5smXm8w5rsvq4Ar8Tyb9owXweVYaZxA1fryMHDliJOdiBAbdIgbw6RhmXCA3UTrRwyNk7m5K/W2Im558XLVBpVAfd049L4Xx5tCRRdEB6zBMnTmhZI/x6cc+bMG6MtGreTEoWKaS6XlfyVanYMUC+ZKRkb6kYIoaoITl3O4lqAz0xgSLUs0MiHf7JEFmx7Dc5duyYXLlyJULvidgEqhLKPOHtgR90/To1ZbeR2C0SBlj0k5nx6arMKE2G0JHYoeQMKEYYGwSdmMl57JhROuBIZfl0koekRdM37tPDhuWtQHDH0T+PaKTdN19/Je/16qlJgNATI2mQCCjFi57qHUiSPOpnOVIxZEzkFX7FDHgKpKLTo/pK9kzpNRtbzVerSp9ePeTr6dNl1YoVsmvnTs15QVmhQMKHA/prIAtJj5o3aSSHDlnjX0LCiePHdYfm7u4w9pKqNbHDknMs4datm9Kh/VsqvUKWjz/0gFZuDguXL1/RtJgTxo2Vvn16qfsdVYoJ7EifOqWWteK9aAxgbyJ2G8dcsqYi9IP/9/+pSoU6e5Tuxytj6uQv5Nclv8jv27fLyZMn5UYQZGQjYRHXslnjRnL48CHnqEVCAR5EPbp2VuGBccyOrlf3rk5v4oUl51jCwYMHpXyp4iFSbbpUydV1CJw+dUrLU1G49MupU2Xwhx9I8zcaS/5cOZRU//uv/6eP3npibxKmQdYuEUPY/E3JpkJ5c2uUHeqOnt26qOoDNQjFTIMZuOEh1VskTGBTIKWuO6ZJZoUaLzHDknMsYeGCBRok4Q429M1E2VENBXVCkfx5JVvG9JIq6Yvqq/vEIw+G6IDdUGe3Qc6QtCs5058lfVopnD+PUGq/ScMG0rtHd5k182vZvm2bVgoJdjK2SFwgLUCD1+voHGAHSD3IT4d97PTezeMSn7aPuIYlZz/jwoXzmpwH319I1ZV6kZzRE0O2FAx1I9sgXfq9idhVT9CP7zEDlkRAhfPlVmPd+LFj1I1t9apVsmvXHyphYDC0sAhmjBoxXMc945+xT/3HnTt2aB/h3l07vavqjnGjR6qkTWWVhIygJudbt27Lst9+i5foMAx5rORnTp/WlJUQ5ahPh2u1jUyO54R3g4BdXTHPad5ETKpLl6whYlQUkHmpYkXkrdYt5fvvvtPwaox1YRkRLSyCGTt37nBUG4+r9wY7yimff6Z9hw4dUj99hBp2jzWqvaJzLyEjaMmZd5w2ZbKkTZFMa8DF5irKVur6tWsa9rzbSKrz5/4oI4Z9Ih3bvaWDJG+ObB71hKP/hWwhXl8EjSsYJMx5EDMqCgZdnhxZpWb1atK1c0fdzn0/Z7Zs37pVJQYLi8QCBBG8cpgvzCdSi+Lh9LuRoMnTwjF2k9hV/vorYVeuDyFnqsUGEznPNdt6qmDgIpY2VXKz1R+tkqw/cOump8Iz7mXffDVDs8j169NLQ00rVygr6VKnUD9iQoghWkjWVV+EJmQaZE3uWlb9zEYarlCmpOqJCaPGg2KykQ5+XbpEjh+3Bi+LxI1FCxdIipee1x0k8yZP9iyydfMm3ZlCzhx79nGPLzR66oSMEHK+fjt28jrHBjmvXL5MCufPq6so5IdOliCMFSuWO2dEDaSoJBvbwgU/yaTx46RH1y6auAeDW4Y0qXRQQL4QMp/lrSd21RMuObtE7d1HcpeWbzaTjz7obyTi72THtm1y8uQJzcB185bNI2Bh4QLCrVe7ps415g47TdSFP3w/W6vokE7g6SSPSKvmTdUFLyEjhJwpexUM5Lx921YpVbSw3jyXDF985ikZOOD9CKPv0NWyRcJ4Rpa0L6dOkfZtW0vZksXUBc3jPeEZABA/jZWacGaXdGmez/TknKBBxCleeE6fE/JMxJ1LzLz+g/79rPeEhUU48LajjBs9SucS84zdJlLysI+H6NwkLwxJt955q41zdsJFCDnHVkUUf5LzSiMZlypaSG8Y5McN5LHLux3vy2QFCf/996WQ8kkkcx/80UB5q00rqVa5otYwQ0+MWgI3NvRYzz9FTTNHKjbN/QwqPEOyDBYakXdEMZUtWVxrA6LymDh2jG7J1pjtV5EC+cz5nuATXj/3xx+cb2VhYREaM76cpi6mx44e1b+JAcDnH7sM8wfDeDkjQKVO9oLOKcL4u3XppOcmZAQNOeO/S+UMIt6QSLlJyZ57RlNGUo8PYx0VfH9bulTDnUcMHybdOr2rPsV5c2ZVwxu+kySK56b7MtxBujxCrOQpZhEg3JmBUrVSBSXiTh3flqGDP5I5386S7du3ad4J71WfRPUY+Dyk/pjkzp7FfC+bB8LCwhc2rF+nEazMlRZNm8jaNatVXdGtU0ednzrPTXPnKc+Zl0MHD3LeIeHiHnI+H4pY/dH8Qc7ooerXra030L1JkGuZ4kU18GLs6JHSsF4dKVWssOTKlkVL7bt6Ym6wK/WGkLpp7o3mOP3okpM8+G9N78l7I1mj16IiyMb16+XwoUPquoN6Ijxd16CBA0K+5+MPPShtW70ZpxncLCyCCe/17KFkS0ZE1JMIQj/Nnyc/zZtrBKrn75mrPDJf2e1O+eIL5x0SLu7ROUOi/paeY0rO6IfRJ0OeLjHTkEzz5cymJPr0Y4+GpJJ0SdibiN3mEjHky7m8BwVJqWdHRjYInhj/aZO/kPVr10Q5KT6kjUcH0j2DDckeKd7CwuJ+kFK3XKkSSs7uHGWeFyuYXz76YICWdGOOunNeyZndr2kYCBM6QsgZ3IiF1KExIWcqJYz6dFgIGXvfJNQUEC0ky011j/PcJWfI2EPESfT8jC+n0htOik0swmRkm/nVDFm7erXs37dPddQxAYmE8L/kOxEFWLxQATl+7LjTa2Fh4Q0iWxFm0qTwqAERZpjDzNmMaVOpYd1bIKPhvUEiMNSHCR33kHNs5HWOCTl/OXWyZE6XRsnO+waFbiESsWk8cgM5liZFUilfpqS0a9tKPhkyWA0PPy9aKJs3btQkOteuXXM+yT/YtGGD2ZZl12g/JICmjRvK7USUC8DCIqqghBpeU6VLFPXsjs28ZU5D1qGJmcauFM+qxJCd8B5yhkL9rdqIDjmTxnL2d99K3hxZwyVmCNitMoKeme3Q63VqahKgzydN1MCOA/v3aWVpvDmir1yJHD6bOMFRn1D49FHp3+89p8fCwiI8kC6XCj4Y4wnbxlvK15xHfUkh4utBkOo2priHnIG/w7ijQ85zf5hjbs6z6uKGX6OvmwQJ4s5Wq3o1lYqXL/tNTp86GW+O6Rj93n6rjfpgsuKjRpn59Qyn18LCIiJc/vtvTWxE4BeqDV+SM+TcvElj5xUJG/eRs7/rCUaHnPFnJqae0E1UFNwo7xvkkU6f1mCU6dOmBkT+Cb4D7nZIzHzf4oULyh87dzq9FhYWkcFtI1zNnvWNlA3Jhe5JkevOezw1Pni/r3N2wsZ95IzLri+SjW6LDjkDaogtWrRA+vbupRV5XYuuN0lDgtkyptNE9YRdx2f5Iog4Z9ZMIYmNmpnvZKMCLSyih43r12mF9yxmd+yqNpn/2HNmGIEsMeA+csalzhfJRrdFl5xdUO5p6S+L1cMClYFr7HOJGsMBRkB0VDWqVFbPi/jAnNnf6Xfi+zCY3uvVw6b2tLCIAbATjR75qUrOzCnmPa50iaW+YMCTs4u9e/bIJ0MHa+UPIvCQmtX95nnPigpBo6MmNJuCkXGJO7fvaM0/pHsGEFGIE8eNdXotLCyiCwx/qC5RE6IyhKjXro0fASyucR85A39mqPMXObsgm9u4MaOkRrUqkjFNKkOID3skZ3PTIMe6NWvI+fPnnLPjBmSZwziJOoMVngx5hKFaWFj4B3hzNKhbWwPGtmze5BxN2PBJzjcCmJwBSY2ILmJFrVy+jKo3kJqRWkeZbVBcgxBv9dF87ml5KsnD8uorlbRiiYWFhf9w7OifWj2eqiiJAT7J+dYdT/J9X2Qb1RYb5OyNo+aGfT5pgpQuVkRys6pu2ez0xA3QK3fp1EFdfFCvID0TeWhhYeF/MN8SS5FXn+QMrvjJpS62ydnF3t275cc5c+K8OsKFixekbq0a6jiv+uZnntSE+hYWFhYxQZjkjPTsi2yj2uKKnOMLW42kXjBPLo8/9tNPaIHKAwf2O70WFhYW0UOY5Eys86VQRBudltDJecoXn6nO29U3N23c4L7E/xYWFhZRRZjkjIsuody+CDcqLSGTM/ov8tFiDETfTOksyulYWFhYxBRhS84GN+/E3GsjIZMzuaabNmqgRkB0zamTvSizv/3W6bWwsLCIPiw5xwB/HjkspYoVUWMg/s25smaS9evWOL0WFhYW0Ycl5xiAcjqUwyIIBtXGq69UlJMnTji9FhYWFtGHJecYoE/P7vLYQw+oMRCCfr9v70Tjg2lhYRG7sOQcTfx9+W957dUq8vjDnshEJOjZ385yei0sLCxihnDJGVyNYTBKQiXnPXt2S/bMGUISMJFbY+PGDU6vhYWFRcwQITnHNFIwoZLzvLk/qhEQFzoei+TPKydPnXJ6LSwsLGKGCMn55h3fpBvZlhDJGf/m3j26aT4NAlDIM922VYt4K5FlYWGR8BAhOYOYJEFKiORMSSqKTOLfjL6ZHLN4blhYWFj4C5aco4Ed27dLgdw5Vd/8lJGacaG7ePGi02thYWERc0SKnEmCFF29c0Ik5wU/zddE/7jPPfXYI/J+3z5Oj4WFhYV/EClyvm241ZKzB+ibhwz6SD00yESHQXDalMlOr4WFhYV/YMk5ijh/7qzUfq26lsRCrZEpbWpZ/ttvTq+FhYWFf2DJOYr4fcd2yZ87uzz7+KPqQlelUnmtxmJhYWHhT1hyjiJ+XbpE0qZKpvrm5w05d+v8rtY0tLCwsPAnIkXOUGt0g1ESGjl/PmmiSsy40CV7/lmZOG6s02NhYWHhP0SKnME1Iz4ndnK+cf26NGlYXyueQM5pUyaXnxcudHotLCws/AdLzuHg2LGj8sfOnXLdkDJYs3q1pE2VXD01kJ7z584he/fs0T4LCwsLf8KScyhQ3WTpL7/IkI8+lFcrV5QKpUvK0T89Br9+fXoZqfkhdZ974uEHpWXTJnLjxg3ts7CwsPAnLDmHAsnyC+fPIw/87/9ozoxkzz9tJOZVcvvWLaldo5rm0yB/M94ak8aPc15lYWFh4V9Ycg6Fm0YSblT/dSVmkhrhzzx21Eg5euSIlCxSSJ598jH1b86YJrWqOSwsLCxiA5acfeDr6dOVlFVCfiKJvNmkkSycP1+yZUqv+mYMgiWKFJTz58/r+f+Yf3NmfyeHDh7Uvy0sLCxiCkvOPrB71x+SPVMGNfrhz1yxXGnp3/c9SZXsRfXSQKqm6jYgnHvGl1MlXarkMmHcGP3bwsLCIqaw5OwDuMy90aCekjDSc86smaRYofxqCExqyBmCnj5tqp773axvJHe2LGogLFIgn2zasF6PW1hYWMQElpzDwAfv91WVBoRMvmb0zzxHrZErW2ZNG/rTvLmSP1f2kPOQtBvVqysXLnjUHRYWFhbRhSXnMDD1i89VakZKdomZRwi4cvmyMnrEp5I3RzZ5zhAzxzn3mccekcb1X7fkbGFhEWNYcg4Dvy75RTKmSSkvPP24kq/bIOFcWTNJtozp1WuDYxA4pI2r3f59+5x3sLCwsIg+LDmHgUMHDkjZksWVdL3J2SVo1BsuMWM0rFenluz8fYfzagsLC4uYwZJzGCBku0O7t5ScXZVG6AYxQ9TvtGsrBw2ZW1hYWPgLkSbnq4mMnMGnwz5R8qWFJmYIG39nAlZOnTzpvMLCwsLCP4g0Od+645t8I2rBTM5fTf9SUiV94T5y5u9nnkgiFcqUlE0bNzpnW1hYWPgPkSZn8Lch2ahKz8FMziuWL5MML6cM0S+7xIwhsFK5MrJxwwbnTAsLCwv/wpJzOKD8FPk0cJGDmFFlENZdvnRJ2bB+nXOWhYWFhf8RJXKGZBMTOROK/fZbbeTxhx9UiZmMdMULF5B1a9c4Z1hYWFjEDqJEzncMx/oi4PBaMJMz+GziBA3jxt+5cvkysnzZr06PhYWFRezBknME+O3XpRq+Xb1KJU2IZGFhYREXiDI5Jya1BvjzyGF5u21rm9DIwsIiThElcoZir96KOkFfMu3qreBsl67dlEPHTor5CeZvmu/zYqtR9fx28K5tFhYW0USUyBncvB11cqbxmmBsF28aQja/m0df/X5t1/+R86bxyN8sajfvYJj0XHsLC4vEgyiTs0d6vp98bYt6C03OHLt000jLpqFCsqRsYZF4EWVydnHLSHShyca2iJs3EaOL927kL7GwsLAA0SZncMOIdy7R2BZxQ13h6pKvWyK2sLAIBzEiZ3DNEM15iCcUEdl2t3FtiK68YQnZwsIikogxOUM3GK2u37ZqDl8NYubaWF62sLCICmJMzt645nhyJDYp2v3NoX87emRLyhYWFtGBX8kZ4JeLx4FLWi5RJbTmTcSoLNzGb0enjKeF5WULC4vowu/k7AKD12WIOhSRxbT5872i2/h89bAwvw8itrCwsPA3Yo2cXZCkHwJDqsRw6IvsItMgRIgedzPeTwM1Imper/dHC/kO5vMtJVtYWMQmYp2cXaB79dZJR5U43fMhe3DDvFdELfTnxbQRvo1/t4WFhUVsI87I2QXkRnOJMzQJh26cg9TNa/AKuR1FcuQ17mfGpPE+FhYWFnGFOCdnbyAER6bZMGYLC4vEBZH/HxtkyPJwwXz2AAAAAElFTkSuQmCC)
It is called theorem of parallel lines cut by transversals proportionality.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
Choose the correct statement for the angle bisector theorem to the following triangle.
![](data:image/png;base64,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)
The base is divided in the same ratio as the sides containing the angle.
Choose the correct statement for the angle bisector theorem to the following triangle.
![](data:image/png;base64,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)
The base is divided in the same ratio as the sides containing the angle.
Theorem used to find the value of AB in the following figure
![](data:image/png;base64,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)
Here, AB = 4√2.
Theorem used to find the value of AB in the following figure
![](data:image/png;base64,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)
Here, AB = 4√2.
To find the value of AB in the figure, which theorem is used?
![](data:image/png;base64,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)
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
To find the value of AB in the figure, which theorem is used?
![](data:image/png;base64,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)
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
Which of the statements is true in the case of the given triangle?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgcAAAEOCAYAAAAdRrRuAAAgAElEQVR4nO3df2xT973/8VdK1W4wNQnZLtLYBlnSsSt2b+ACl31xNpLSLe2oRCLGYIO749xSlR/lkqj8KJQqiaB3sMKcTLSASm/sjV7CLltSqbDkdtyYEaPRS5ZkKrdCJU24G/feaISYrdVX7I7m/mF88An5Hdvn2H4+pAh/HMd+V3KdVz7nfd4nrb+/v18AAAB33Gd3AQAAwFkIBwAAwIJwAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIBwAAwIJwAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIBwAAwIJwAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIBwAAwIJwAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwSIhxMnTpVaWlpSktL04IFC+wuBwDgcC0tLdqwYYNyc3Mtvz++//3vq7e31+7yHO9+uwsYyenTp9XX12euL168qI6ODuXl5dlYFQDAqerq6vTtb3/7nvsvXryoixcvSpK2bdsW77ISiuN3Dn70ox9JkubPn2/e95Of/MSucgAADnb69GkzGGRmZur48ePq7+9Xf3+/Tp06pZUrV9pcYWJI6+/v77e7iKH09vbqk5/8pCTp+PHjOnDggC5evKicnBxduXLF5uoAAE6Tm5urzs5OSdK5c+eUn59vc0WJydE7B2+99ZZ5+2tf+5q+/vWvS5I6OzvV0dFhV1kAAAdqaWkxg8H8+fMJBhPg6HDQ0NAgSSoqKlJWVpa+9a1vmd87cuSIXWUBABzo/Pnz5u0VK1bYWEnic2w46O3t1YkTJyRJJSUlkqS8vDzl5ORICjWcAACA6HNsOBh4SCEs3EzS19en06dPx70uAACSnWPDwYEDBySFjht9/vOfN+93uVzm7TfffDPudQEAkOwcGQ7ef/9981zUixcvmgMs0tLStHTpUvNxHFoAAIR97nOfM2//+te/trGSxOfIcBB5SGE4HFoAAIRFHoI+ceIEZ7VNgCPDwdGjRyWFBliEh1dEfp06dcp8bHhIEgAgtWVlZWnnzp3murCw0PIHZEdHhzZs2KBVq1bZUV5CcdwQpPfff988I2H9+vV65ZVXBn1cWlqaefv69evKysqKS30AAGfbsGGDDh06NOT3V65cyWHpEThu5+Dtt982b3/nO98Z8nGRIzDffffdmNYEAEgcr7zyio4fP66VK1cqMzPTvH/+/Pnat2+fXn75ZRurSwyO2zkAAAD2ctzOAQAAsBfhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWNxvdwFjVVlZqaqqKrvLAADYoKKiQpWVlXaXkfQSbufg7NmzdpcAALAJvwPiI62/v7/f7iJGq6WlRV/5ylfsLgMAYJOPfexjevfddzVz5ky7S0lqCbVzkJ+fr0cffdRcp6en65133lF/fz9ffKm/v19ut9t8f1RUVNheD1988TX2r+bmZs2ZM+ee3wEFBQX6+c9/TjCIg4QKB5Lk8/k0Y8YMSdLNmzdlGIZu3bplc1VwimAwaN4e7MMFgHP5/X4VFhaqsLBQ7e3t5v0zZ86Ux+NRfX29CgoKbKwwdSRcOPj0pz8tn89nrltbWy1/LSK1RYaDjIwMGysBMFrBYFDl5eUqKSmR3+8378/IyJDH41FbW5vKysr4fzqOEi4cSNLixYt19OhRc11XV6cXXnjBxorgFN3d3eZtth4BZwuHguzsbFVXV5vhPiMjQ263m1Bgo4RqSBxox44d2rt3r7n2er0yDMPGimC3tLQ083YCv7WBpBYMBtXQ0KCqqipLoJdCfQUej4fDgjZLyJ2DsO9973v65je/aa7dbrcCgYCNFcFOkcco+WABnCncV1BaWmoJBgUFBWpubh6yGRHxldDhQAo1KEa+kQzDUE9Pj40VwS70GwDORbNhYkn4cDB58mR5vV5NmTJFktTZ2cmhhRRFvwHgPN3d3TQbJqCEDweSlJeXZzmDoampSZs2bbKxItiBnQPAOcLNhnPnzr2n2bCsrExdXV2EAgdLinAgScuXL7c0Jx48eFA1NTU2VoR46+joMG/n5eXZWAmQuoLBoLxe7z2hQLrbV+DxeAgFDpc04UCStm/frrVr15rrsrIynTp1ysaKEE/sHAD2Gq7ZsK2tjWbDBJJU4UCSXn31VUtTi2EYunz5so0VIV7Ge7bC1KlTlZaWds/XggUL9Pzzz+v999+PRblA0hip2ZBQkHgSes7BUK5evSqXy6Vr165JkhYuXKhAIKBJkybZXBliabwzDiJ/bij79u3Ttm3bxlUXkKy6u7tVU1Mjr9d7z85dRUWF3G43u3gJKul2DiRpxowZlgbFCxcuMGI5yUXjTIWioiLzwi/Xr1/X8ePHlZmZKSl0yKquri4qtQKJjmbD5JeU4UCSlixZosOHD5vrY8eOqaqqysaKEEuR4SAaH0hZWVlatWqVmpubzfs2bNgw4ecFElkwGFR1dfU9444lmg2TTdKGA0l6+umntWXLFnNdWVmp119/3caKECuR4SCaxzbz8vK0fv16SVJfX59Onz4dtecGEkm4r6C8vPyeUECzYfJJ6nAgSS+99JKKi4vNtWEYunDhgo0VIRZieabCV7/6VfP2O++8E9XnBpzO7/dr7ty59zQbzpkzh2bDJJb04UAKjVj+0pe+JEm6ffu2DMNQb2+vzVUhmmI54+Azn/lMVJ8PSAThyYYDQ0F4smFzc7PKyspsrBCxlBLh4KGHHpLX69WDDz4oSbp8+TIjlpMMMw6A6BjYbBhGs2FqSYlwIEnz5s2znMFw6tQplZeX21gRoimWV2T83e9+F9XnA5yIZkNESplwIEkrV67Unj17zHV1dbVefvllGytCIvjlL39p3l60aJGNlQCxQbMhBkrKIUgjKS0tldfrNdeNjY0qKiqysSJMRHd3t7KzsyWFtj77+vrG9PPhIUhFRUVqbGy0fK+jo8P8UMzJydGVK1eiUDHgDH6/X+Xl5ZadNym0+2YYBj0FKSyldg7CamtrlZ+fb64Nw1BnZ6eNFWEiIv/Sidalmnt7e1VXV6fCwkLzvh/+8IdReW7Abu3t7TQbYlj3212AXbxer1wul3p6etTT0yPDMNTS0mJ3WRiHgR9u49XU1DTkKOXjx4/rG9/4xrifG3CCYDCoqqqqQccdb968mUZDmFJy50AKbRFHNigGAgGVlpbaWBHGK/JDbjzHRcMjkgcqKirSzp071dnZqVWrVo27PsBuwWBQlZWVwzYbVlZWEgxgStmdAyn04X/w4EE988wzkkK7Cbm5uXr++edtrgxjETnjID09fcw/f+PGjWiWAzjKUH0FBQUF8ng8NBpiUCm7cxC2ceNGy7G1Xbt26cSJEzZWhLGa6M4BkIyGm2xYW1vLGQgYVsqHA0nyeDx64oknzLVhGGptbbWxIoxFtC+6BCSy0TQbcpVajCQlT2UczI0bN7Ro0SJdvnxZkjR79mwFAoFxbVMjvrKzs82A0NXVFbUzFoBEQrMhoolwEOHChQtyuVy6ffu2JKm4uFj19fU2V4XhBINBS0Mhb2ekmvBkw5qaGksokEJ9BbW1tQRmjBmHFSIsXLjQcgZDQ0ODtm7damNFGEmsLtUMJILwZMOqqqohJxsSDDAehIMBVq9ercrKSnO9f/9+HTlyxMaKMBwuuIRURLMhYo1wMIiKigqtWbPGXK9bt05nzpyxsSIMJfKDkb+QkOza29tVWlpKsyFijnAwBJ/Ppy9/+cvm2jAMXb161caKMBh2DpAKwpdRLiwstFwXJiMjQxUVFVxGGVFHOBjCfffdJ6/Xq6ysLEnStWvXZBiGzVVhoMgBSHl5eTZWAkTfSJMN29ramGyImCAcDGPWrFmWBsWzZ8/qqaeesrEiDMTOAZJVuK+AZkPYgXAwgqVLl6q6utpcHz16VPv27bOxIkTibAUkm8hmw4Hv7/r6epoNERfMORilTZs26eDBg+b65MmTWr58uY0VQZLlKoq8lZHI2tvbVVNTY+kpkO72FbjdbnbHEDeEgzF4/PHH1djYKEmaMmWKAoEAx7lt1N3drezsbEmhMxW6urpsrggYu+EmGxIKYBcOK4yB1+tVTk6OJOnDDz+UYRj68MMPba4qdXFNBSSy0TQbcgYC7EI4GINp06ZZGhQ7Ojo4p9hG9BsgUdFsCKcjHIyRy+WyHBM8efKkduzYYWNFqYszFZBoaDZEoiAcjINhGNq1a5e53rt3r1577TUbK0pNzDhAomhvb1dJScmwkw2Li4ttrBCwIhyM0+7du7Vq1SpzvXbtWp09e9bGilIPOwdwusjJhg0NDeb94VDAZEM4FWcrTMCf/vQnLVq0SK2trZKkGTNmKBAIaPr06TZXlhqys7PNrdmuri6O0cIxhjoDQQpdCt7j8fB+haOxczABDzzwgHw+n9LT0yVJV69eZcRyHA380AWcINxXMNQZCPX19QQDOB7hYIJmz55tOYPhzJkzWr9+vY0VpYbu7m7zg3fmzJl82MJ2NBsimRAOomDZsmXav3+/uT58+LAOHDhgY0XJj34DOAXNhkhGhIMoefbZZ7Vu3TpzvWXLFr3xxhs2VpTcIj+E2TWAHWg2RDIjHETRoUOH9Oijj5prwzB06dIlGytKXpE7B4QDxFM4FAycbJiRkaHi4mImGyIpEA6izOv1asaMGZKkmzdvyjAM3bp1y+aqkk/kjINwQygQaw0NDUM2GzY3N9NsiKRBOIiy6dOnWxoUW1tbGbEcA5EfzDR5IdbCzYYlJSWWZsOCggKaDZGUCAcxsHjxYh09etRc19XV6YUXXrCxouTDRZcQDyM1G9bX19NsiKREOIiRJ598Us8995y53rNnj2VHARNDzwFiiWZDpDomJMbYihUrdPLkSXPd0tIil8tlY0WJLxgMKjMz01zzFka0DDXZMCMjQwUFBUw2RMpg5yDGfD6f5aJAhmGop6fHxooSH5dqRrQFg0GaDYEIhIMYmzx5snw+n6ZMmSJJ6uzspEFxghiAhGjy+/0qLCyk2RCIQDiIg7y8PEu/QWNjozZt2mRjRYmNAUiIBr/fT7MhMATCQZwsX75ce/fuNdcHDx5UTU2NjRUlLnYOMBHhZsOSkhKaDYEhEA7iaPv27Vq7dq25Lisr06lTp2ysKDFFDkCK7OcAhjPcZEO3281kQyAC4SDOXn31VRUUFJhrwzB0+fJlGytKPOwcYCxG02xYW1vLISogAuHABl6vV9OnT5ck9fb2yjAMffTRRzZXlTg4WwGjRbMhMD7MObDJmTNnLBdpWrNmjX784x/bWFHiSEtLM2/z9sVg/H6/ampqLD0FUminqaKiQm63m10nYBjsHNhkyZIlOnz4sLk+duyYqqqqbKwoMUT+9cc2MAai2RCIDsKBjZ5++mlt2bLFXFdWVur111+3sSLnIxxgMDQbAtFFOLDZSy+9ZDmX2jAMXbhwwcaKnI1wgEjBYFBer5dmQyDKCAcO4PV6NXv2bEnS7du3ZRiGent7ba7KmThTAWHhZsPS0lKaDYEoIxw4QHp6unw+nx588EFJ0uXLlxmxPARmHIDJhkDsEQ4cYt68eZYRy2+++abKy8ttrMiZ2DlIXTQbAvHDqYwO8+KLL2rXrl3m+uDBg9q4caONFTlLdna2uYXc1dXFseQUMNxllIuLi1VRUcH7AIgywoEDlZaWyuv1muvGxkYVFRXZWJFzRM44IBwkt/Bkw6qqKktPgRTqK/B4PPQUADFCOHCo/Px8BQIBSdK0adMUCASUk5Njc1X26u7uVnZ2tqTQmQpdXV02V4RY8fv9Ki8vt/QUSKFQUFFRYRlBDiD66DlwKJ/Pp2nTpkmSenp6ZBiGzRXZj36D5DeaZkOCARB7hAOHysnJsTQoBgIBlZaW2liR/SJ/WXA4IbnQbAg4C+HAwYqKinTw4EFz7fV69eKLL9pYkb0idw4IB8mByYaAMxEOHG7jxo0qKysz17t27dKJEydsrMg+zDhIHkw2BJyNcJAAPB6PnnjiCXNtGIZaW1ttrMge9Bwkh+EmGzY3NzPZEHAAwkGC8Hq9mjVrliTp1q1bMgxDN2/etLmq+BrYoIbEEg4FA5sNZ86cSbMh4DCEgwSRlZUln8+nSZMmSZIuXbqU0iOW2W5OHJHNhn6/37w/3GxIXwHgPMw5SDCvv/661qxZY663bNmil156ycaK4iMYDCozM9Nc87Z1vuEmG7rdblVUVBAIAIdi5yDBrF69WpWVleZ6//79OnLkiI0VxUfksWmORzvbaJoNPR4PwQBwMMJBAqqoqLDsHqxbt05nzpyxsaLYoxkxMdBsCCQHwkGC8vl8Wrhwobk2DENXr161saLYYgCSs9FsCCQXwkGCuu++++Tz+ZSVlSVJunbtWlI3KLJz4Ezd3d00GwJJiHCQwGbNmmUZsez3+/XUU0/ZWFHsMADJWcJnIAzsK8jIyFBZWRnjjoEERzhIcEuXLlV1dbW5Pnr0qPbt22djRbHBzoEzBINBVVdX3zPuWKLZEEgmnMqYJDZt2mS5DsPJkye1fPlyGyuKruzsbLPBrauri74DGwx3GWWPx0OjIZBECAdJ5PHHH1djY6MkacqUKQoEAkmzBZ+Wlmbe5i0bX36/X1VVVZaeAil0SqlhGJZrfwBIDoSDJNLT0yOXy6XOzk5JoWPz58+f1+TJk22ubGLa29s1d+5cSaHu966uLpsrSg3d3d2qqakZdIhRRUWF3G43hw+AJEXPQRKZNm2apUGxo6NDhmHYWFF0cKnm+KLZEADhIMm4XC55vV5zffLkSe3YscPGiiYucpgO4SB2aDYEEEY4SEKGYWjXrl3meu/evXrttddsrGhiOFMh9sJDjMrLy+8JBW1tbUw2BFIM4SBJ7d69W6tWrTLXa9eu1dmzZ22saPyYcRA7fr9fc+fOvWey4Zw5c+TxeAgFQIoiHCQxr9erefPmmWvDMHTt2jUbKxofdg6ir729XeXl5feEgvBkw+bmZs5CAFIYZyskuUuXLsnlcunmzZuSpEcffVRvvfWWzVWNDTMOome4yyhv3ryZRkMAktg5SHqzZ8+2nMHwi1/8QuvXr7exorGLbEjE+Iym2bCyspJgAEAS4SAlLFu2TPv37zfXhw8f1oEDB2ysaPQGnqnArsHY0WwIYKwIByni2Wef1bp168z1li1b9MYbb8S/kN5e6do1qacndDsYlD74YMiH028wfsM1G9bW1hIKAAzpfrsLQPwcOnRI7733ns6cOSMp1KAYCAQ0e/bs6L/Yb34j/fKXoX//8z+l3/429PXHPw7++MxM6QtfkB5++O6/g/xSw8ja29vl8/ksF+SSmGwIYPQIBynG5/PJ5XLp6tWrunnzpgzD0Pnz5/XAAw9M7In/67+kn/40FAjOnQvtDIxFX5904ULoK0IwO9u8zS+04dFsCCBaCAcpZvr06fL5fCooKJAktba2yjAMHT9+fHxP2NAgHTsWCgbD+dznpM9+NvTvQw9Jf/6z9auzU3rvPenOWRVhHRHXUZjz+c+Pr8YkF242rKmpsYQCiSsmAhgfwkEKWrx4sY4ePaq1a9dKkurq6pSbm6vdu3eP7glu3ZL+8R8lrzd0yGCghx+WvvpV6StfCf07c6YUcVXFYf33f4dCwttvS01NCv7iF+a30j/72dE9RwrhMsoAYoE5Bylsx44d2rt3r7n2er0jX6jphz+Uvvc96X/+x3r/3/yNtGaNVFISCgNRkj1jhrrvBJC2tjZ+2d0xVCiYM2eONm/eLLfbbVNlAJIB4SDFrVixQidPnjTXLS0tcrlc9z7wn/85tFtw6dLd+z7+cem73w2Fgvz8mNTHACSr9vZ28zLKkWg2BBBNhIMU9+GHH8rlcpnXL8jJyVEgENC0adNCD7h5U3rmmVBfQaTNm6WdO6W/+IuY1dbd3a3sOw2JGRkZ6uvri9lrOR3NhgDiiTkHKW7KlCny+XyaMmWKJKmzs/PulnRjozR3rjUY/N3fSf/xH1J1dUyDgWSdcZCqOwbBYFCVlZVDTjZsa2tjsiGAqCMcQHl5eZYRy42NjWr627+VHn9cCp8t8PDD0r/+q/SjH0l/+ZdxqSvVByCFJxtWVVUNOdkwVUMTgNgiHECStHz5cktz4v/793+/+023W2prk772tbjWlKoDkIabbFhfX89kQwAxRziAafv27ebpjYak/5X0m2eekWprpTuHHeIp8q/l9PT0uL9+vLW3t6u0tHTYyygXFxfbWCGAVEE4gMWrr76qxYsXq0HSA5IeOX5cly9ftqWWcJOklNw7B8FgUOXl5SosLLSchRA+A6Grq4uGQwBxRTjAPXw+n6ZPny5J6u3tldvt1kcffRT3OpK954BmQwBORTjAPWbMmGFpUPzVr3418nCkGLBcrjkrK+6vH0vhvgKaDQE4EeEAg1qyZIkOHz5sro8dO6aqqqq41mAJB3/919L8+dI//INUVzf42OYEENlsGPnfR7MhACdhCBKGtXXrVu3fv99cHzt2TKtXr47567a3t2vu3LmSpJmSugZ7UG6utGiRtHq19PWvx7ymiWhvb1dVVZUaGhos9zPZEIATEQ4wopKSEvOX2qRJkxQIBLRw4cKYvmb4HH9JWjxzpvxf+IJ0/rz0wQeD/8C8edLataGv+51zPbHhJhsSCgA4FYcVMCKv16vZs2dLkm7fvi3DMHTjxo2Yvmbklnt2QYHU1CT98Y+hqzV6PNKKFdKdpklJUmurtH699KlPSVu3SjadYRE2XLNhcXGx2traOAMBgGMRDjCi9PR0+Xw+Pfjgg5Kky5cvx7xBccgzFRYskMrKpJ/8RPrd70Ijnr/5zcgflPbvl774RWn5cunnP49pnYMZqdmwvr6eZkMAjkY4wKjMmzfPcgbDm2++qfLy8pi9XuSMg7y8vKEfWFQk/cu/SO+9J23bJk2devd7P/uZ9I1vSH//99L16zGrNYxmQwDJgnCAUVu5cqX27Nljrqurq/Xyyy/H5LXGPOMgN1fat0/6/e+lI0dCOwxhtbWhnYR/+qcYVBpqNiwpKWGyIYCkQUMixqy0tNQyya+xsVFFRUVRfY3s7Gzzr++urq7xbcP/7GfS9u3SlSt371u2LBQiZs2acI00GwJIVoQDjEt+fr4CgYAkadq0aQoEAsrJyYna86elpZm3+/r6xv9L9s9/DgWEH/wg8slDAWHr1nE95XChoKCgQB6Ph54CAAmNcIBx6ezslMvlUk9Pj6RQWDh37lxUnru7u1vZ2dmSpJkzZ6qra9ApB2Pj94dCwttv370vPz90Ceo7rzUaDQ0NKi8vt/QUSDJDAT0FAJIBPQcYl5ycHEuDYktLi0pLS6Py3JG/eKO2LV9QIF24IEX0TKilRXrkESny8tRDCDcblpSU0GwIIOkRDjBuRUVFOnjwoLn2er168cUXJ/y8A3/5RtXzz0u/+U0oLIReLBQQhjjlkWZDAKmIcIAJ2bhxo8rKysz1rl27dOLEiQk9Z8yvxvhXfyX927/dnY/wwQehUx5//GNLDeHLKEeOPA6HAi6jDCCZOWfOLBKWx+PRe++9p1OnTkmSDMNQbm6u5s2bN67nG/WMg4lISwvNR1i/XgpfYOq739X//+1vtfP3v6fZEEBKY+cAUeHz+TTrzumBt27dktvt1h/+8IdxPVfMdw4iHTok7dplLj/+/PP61IBxxwUFBWpubmayIYCUQThAVGRlZcnn82nSpEmSpHfeeWfcI5Yjj+3H45exf8kSvRRxnYbv3Pm3oKCAZkMAKYlwgKhZuHCh5QyGhoYGbR3nLIGwWO4cRDYbbrt2TWskvStpxUMPyePxqL6+nmZDACmJOQeIuqqqKlVWVprrw4cP6+mnnx7Vz0bOOMjIyFBfX1/U62OyIQAMj50DRF1FRYXWrFljrtetW6czZ86M6mcjf1lH+5BC+AyEgZdRzsjIkNvt5jLKAHAH4QAx4fV6tXDhQnNtGIauXr064s/FYgBSMBhUQ0OD5s6dawkF0t1mw9raWpoNAeAOwgFiYtKkSfL5fMrKypIkXbt2TW63e8Sfi/YAJL/fr8LCwnsmG9JsCABDIxwgZmbNmmVpUPT7/XrqqaeG/ZnI3YX09PRxv7bf7x92siHNhgAwNMIBYmrp0qWqrq4210ePHtW+ffuGfPxEdw7CfQUlJSVMNgSAcSIcIOY2b96sZ555xlw/99xz+ulPfzroY8c7AIlmQwCIHk5lRNw89thjampqkiRNmTJFgUDgnvHI2dnZ5u5BV1fXiE2C4WbDqqoqLqMMAFFCOEDc9PT0yOVyqbOzU1LosEEgENDkyZPNx6SlpZm3R3pr+v1+lZeXW3oKpFAo2Lx5Mz0FADBOHFZA3EybNs3SoNje3m4ZsTzasck0GwJAbBEOEFcul0ter9dcnzx5Ujt27JA08gAkmg0BID64ZDPizjAMXblyRXv27JEk7d27V7m5ueZFmyRrOBhu3HFxcbEqKioYYAQAUcTOAWyxe/durVq1ylyvXbtWra2t5jojI0PBYFBer5fJhgAQZzQkwja3bt2Sy+UyQ8EnPvEJffDBB5Kk7du3q6mpiWZDALAB4QC2unTpklwul27evDns47hiIgDED+EAtnvjjTeG3AkgFABA/NFzANstW7ZM+/fvlyR98YtflMRkQwCwEzsHcJTw6YqbN29msiEA2IRwAAAALDisAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIBwAAwIJwAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIB7CYOnWq0tLS7vl67LHHdPr0abvLAwDEARdegkVaWtqw39+3b5+2bdsWp2oAAHZg5wCDKioqUn9/v/r7+3Xu3Dnz/r1799pYFQAgHggHGFF+fr6KiookSX19fTZXAwCINcIBAACwIBxgRHV1dWpqamrM+nYAAAGWSURBVJIk7dy50+ZqAACxRkMiLIZrSCwqKlJjY2McqwEA2IGdA4xaU1OTFixYoN7eXrtLAQDEEOEAg4o8W+H69etav369JOnixYt64YUXbK4OABBLHFaARfiwwmCHEMLfy8zM1I0bN+JeGwAgPtg5AAAAFvfbXQCcr7e3Vz/4wQ/M9apVq2ysBgAQaxxWgMVI45Pnz5+vxsZGZWVlxakiAEC8sXMAi8zMzEGnIBYVFemRRx7Rk08+STAAgCTHzgEAALCgIREAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgMX/ATCkqpI9pf0eAAAAAElFTkSuQmCC)
The base is divided in the same ratio as the sides containing the angle.
Which of the statements is true in the case of the given triangle?
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Iil8tlY0WJLxgMKjMz01zzFka0DDXZMCMjQwUFBUw2RMpg5yDGfD6f5aJAhmGop6fHxooSH5dqRrQFg0GaDYEIhIMYmzx5snw+n6ZMmSJJ6uzspEFxghiAhGjy+/0qLCyk2RCIQDiIg7y8PEu/QWNjozZt2mRjRYmNAUiIBr/fT7MhMATCQZwsX75ce/fuNdcHDx5UTU2NjRUlLnYOMBHhZsOSkhKaDYEhEA7iaPv27Vq7dq25Lisr06lTp2ysKDFFDkCK7OcAhjPcZEO3281kQyAC4SDOXn31VRUUFJhrwzB0+fJlGytKPOwcYCxG02xYW1vLISogAuHABl6vV9OnT5ck9fb2yjAMffTRRzZXlTg4WwGjRbMhMD7MObDJmTNnLBdpWrNmjX784x/bWFHiSEtLM2/z9sVg/H6/ampqLD0FUminqaKiQm63m10nYBjsHNhkyZIlOnz4sLk+duyYqqqqbKwoMUT+9cc2MAai2RCIDsKBjZ5++mlt2bLFXFdWVur111+3sSLnIxxgMDQbAtFFOLDZSy+9ZDmX2jAMXbhwwcaKnI1wgEjBYFBer5dmQyDKCAcO4PV6NXv2bEnS7du3ZRiGent7ba7KmThTAWHhZsPS0lKaDYEoIxw4QHp6unw+nx588EFJ0uXLlxmxPARmHIDJhkDsEQ4cYt68eZYRy2+++abKy8ttrMiZ2DlIXTQbAvHDqYwO8+KLL2rXrl3m+uDBg9q4caONFTlLdna2uYXc1dXFseQUMNxllIuLi1VRUcH7AIgywoEDlZaWyuv1muvGxkYVFRXZWJFzRM44IBwkt/Bkw6qqKktPgRTqK/B4PPQUADFCOHCo/Px8BQIBSdK0adMUCASUk5Njc1X26u7uVnZ2tqTQmQpdXV02V4RY8fv9Ki8vt/QUSKFQUFFRYRlBDiD66DlwKJ/Pp2nTpkmSenp6ZBiGzRXZj36D5DeaZkOCARB7hAOHysnJsTQoBgIBlZaW2liR/SJ/WXA4IbnQbAg4C+HAwYqKinTw4EFz7fV69eKLL9pYkb0idw4IB8mByYaAMxEOHG7jxo0qKysz17t27dKJEydsrMg+zDhIHkw2BJyNcJAAPB6PnnjiCXNtGIZaW1ttrMge9Bwkh+EmGzY3NzPZEHAAwkGC8Hq9mjVrliTp1q1bMgxDN2/etLmq+BrYoIbEEg4FA5sNZ86cSbMh4DCEgwSRlZUln8+nSZMmSZIuXbqU0iOW2W5OHJHNhn6/37w/3GxIXwHgPMw5SDCvv/661qxZY663bNmil156ycaK4iMYDCozM9Nc87Z1vuEmG7rdblVUVBAIAIdi5yDBrF69WpWVleZ6//79OnLkiI0VxUfksWmORzvbaJoNPR4PwQBwMMJBAqqoqLDsHqxbt05nzpyxsaLYoxkxMdBsCCQHwkGC8vl8Wrhwobk2DENXr161saLYYgCSs9FsCCQXwkGCuu++++Tz+ZSVlSVJunbtWlI3KLJz4Ezd3d00GwJJiHCQwGbNmmUZsez3+/XUU0/ZWFHsMADJWcJnIAzsK8jIyFBZWRnjjoEERzhIcEuXLlV1dbW5Pnr0qPbt22djRbHBzoEzBINBVVdX3zPuWKLZEEgmnMqYJDZt2mS5DsPJkye1fPlyGyuKruzsbLPBrauri74DGwx3GWWPx0OjIZBECAdJ5PHHH1djY6MkacqUKQoEAkmzBZ+Wlmbe5i0bX36/X1VVVZaeAil0SqlhGJZrfwBIDoSDJNLT0yOXy6XOzk5JoWPz58+f1+TJk22ubGLa29s1d+5cSaHu966uLpsrSg3d3d2qqakZdIhRRUWF3G43hw+AJEXPQRKZNm2apUGxo6NDhmHYWFF0cKnm+KLZEADhIMm4XC55vV5zffLkSe3YscPGiiYucpgO4SB2aDYEEEY4SEKGYWjXrl3meu/evXrttddsrGhiOFMh9sJDjMrLy+8JBW1tbUw2BFIM4SBJ7d69W6tWrTLXa9eu1dmzZ22saPyYcRA7fr9fc+fOvWey4Zw5c+TxeAgFQIoiHCQxr9erefPmmWvDMHTt2jUbKxofdg6ir729XeXl5feEgvBkw+bmZs5CAFIYZyskuUuXLsnlcunmzZuSpEcffVRvvfWWzVWNDTMOome4yyhv3ryZRkMAktg5SHqzZ8+2nMHwi1/8QuvXr7exorGLbEjE+Iym2bCyspJgAEAS4SAlLFu2TPv37zfXhw8f1oEDB2ysaPQGnqnArsHY0WwIYKwIByni2Wef1bp168z1li1b9MYbb8S/kN5e6do1qacndDsYlD74YMiH028wfsM1G9bW1hIKAAzpfrsLQPwcOnRI7733ns6cOSMp1KAYCAQ0e/bs6L/Yb34j/fKXoX//8z+l3/429PXHPw7++MxM6QtfkB5++O6/g/xSw8ja29vl8/ksF+SSmGwIYPQIBynG5/PJ5XLp6tWrunnzpgzD0Pnz5/XAAw9M7In/67+kn/40FAjOnQvtDIxFX5904ULoK0IwO9u8zS+04dFsCCBaCAcpZvr06fL5fCooKJAktba2yjAMHT9+fHxP2NAgHTsWCgbD+dznpM9+NvTvQw9Jf/6z9auzU3rvPenOWRVhHRHXUZjz+c+Pr8YkF242rKmpsYQCiSsmAhgfwkEKWrx4sY4ePaq1a9dKkurq6pSbm6vdu3eP7glu3ZL+8R8lrzd0yGCghx+WvvpV6StfCf07c6YUcVXFYf33f4dCwttvS01NCv7iF+a30j/72dE9RwrhMsoAYoE5Bylsx44d2rt3r7n2er0jX6jphz+Uvvc96X/+x3r/3/yNtGaNVFISCgNRkj1jhrrvBJC2tjZ+2d0xVCiYM2eONm/eLLfbbVNlAJIB4SDFrVixQidPnjTXLS0tcrlc9z7wn/85tFtw6dLd+z7+cem73w2Fgvz8mNTHACSr9vZ28zLKkWg2BBBNhIMU9+GHH8rlcpnXL8jJyVEgENC0adNCD7h5U3rmmVBfQaTNm6WdO6W/+IuY1dbd3a3sOw2JGRkZ6uvri9lrOR3NhgDiiTkHKW7KlCny+XyaMmWKJKmzs/PulnRjozR3rjUY/N3fSf/xH1J1dUyDgWSdcZCqOwbBYFCVlZVDTjZsa2tjsiGAqCMcQHl5eZYRy42NjWr627+VHn9cCp8t8PDD0r/+q/SjH0l/+ZdxqSvVByCFJxtWVVUNOdkwVUMTgNgiHECStHz5cktz4v/793+/+023W2prk772tbjWlKoDkIabbFhfX89kQwAxRziAafv27ebpjYak/5X0m2eekWprpTuHHeIp8q/l9PT0uL9+vLW3t6u0tHTYyygXFxfbWCGAVEE4gMWrr76qxYsXq0HSA5IeOX5cly9ftqWWcJOklNw7B8FgUOXl5SosLLSchRA+A6Grq4uGQwBxRTjAPXw+n6ZPny5J6u3tldvt1kcffRT3OpK954BmQwBORTjAPWbMmGFpUPzVr3418nCkGLBcrjkrK+6vH0vhvgKaDQE4EeEAg1qyZIkOHz5sro8dO6aqqqq41mAJB3/919L8+dI//INUVzf42OYEENlsGPnfR7MhACdhCBKGtXXrVu3fv99cHzt2TKtXr47567a3t2vu3LmSpJmSugZ7UG6utGiRtHq19PWvx7ymiWhvb1dVVZUaGhos9zPZEIATEQ4wopKSEvOX2qRJkxQIBLRw4cKYvmb4HH9JWjxzpvxf+IJ0/rz0wQeD/8C8edLataGv+51zPbHhJhsSCgA4FYcVMCKv16vZs2dLkm7fvi3DMHTjxo2Yvmbklnt2QYHU1CT98Y+hqzV6PNKKFdKdpklJUmurtH699KlPSVu3SjadYRE2XLNhcXGx2traOAMBgGMRDjCi9PR0+Xw+Pfjgg5Kky5cvx7xBccgzFRYskMrKpJ/8RPrd70Ijnr/5zcgflPbvl774RWn5cunnP49pnYMZqdmwvr6eZkMAjkY4wKjMmzfPcgbDm2++qfLy8pi9XuSMg7y8vKEfWFQk/cu/SO+9J23bJk2devd7P/uZ9I1vSH//99L16zGrNYxmQwDJgnCAUVu5cqX27Nljrqurq/Xyyy/H5LXGPOMgN1fat0/6/e+lI0dCOwxhtbWhnYR/+qcYVBpqNiwpKWGyIYCkQUMixqy0tNQyya+xsVFFRUVRfY3s7Gzzr++urq7xbcP/7GfS9u3SlSt371u2LBQiZs2acI00GwJIVoQDjEt+fr4CgYAkadq0aQoEAsrJyYna86elpZm3+/r6xv9L9s9/DgWEH/wg8slDAWHr1nE95XChoKCgQB6Ph54CAAmNcIBx6ezslMvlUk9Pj6RQWDh37lxUnru7u1vZ2dmSpJkzZ6qra9ApB2Pj94dCwttv370vPz90Ceo7rzUaDQ0NKi8vt/QUSDJDAT0FAJIBPQcYl5ycHEuDYktLi0pLS6Py3JG/eKO2LV9QIF24IEX0TKilRXrkESny8tRDCDcblpSU0GwIIOkRDjBuRUVFOnjwoLn2er168cUXJ/y8A3/5RtXzz0u/+U0oLIReLBQQhjjlkWZDAKmIcIAJ2bhxo8rKysz1rl27dOLEiQk9Z8yvxvhXfyX927/dnY/wwQehUx5//GNLDeHLKEeOPA6HAi6jDCCZOWfOLBKWx+PRe++9p1OnTkmSDMNQbm6u5s2bN67nG/WMg4lISwvNR1i/XgpfYOq739X//+1vtfP3v6fZEEBKY+cAUeHz+TTrzumBt27dktvt1h/+8IdxPVfMdw4iHTok7dplLj/+/PP61IBxxwUFBWpubmayIYCUQThAVGRlZcnn82nSpEmSpHfeeWfcI5Yjj+3H45exf8kSvRRxnYbv3Pm3oKCAZkMAKYlwgKhZuHCh5QyGhoYGbR3nLIGwWO4cRDYbbrt2TWskvStpxUMPyePxqL6+nmZDACmJOQeIuqqqKlVWVprrw4cP6+mnnx7Vz0bOOMjIyFBfX1/U62OyIQAMj50DRF1FRYXWrFljrtetW6czZ86M6mcjf1lH+5BC+AyEgZdRzsjIkNvt5jLKAHAH4QAx4fV6tXDhQnNtGIauXr064s/FYgBSMBhUQ0OD5s6dawkF0t1mw9raWpoNAeAOwgFiYtKkSfL5fMrKypIkXbt2TW63e8Sfi/YAJL/fr8LCwnsmG9JsCABDIxwgZmbNmmVpUPT7/XrqqaeG/ZnI3YX09PRxv7bf7x92siHNhgAwNMIBYmrp0qWqrq4210ePHtW+ffuGfPxEdw7CfQUlJSVMNgSAcSIcIOY2b96sZ555xlw/99xz+ulPfzroY8c7AIlmQwCIHk5lRNw89thjampqkiRNmTJFgUDgnvHI2dnZ5u5BV1fXiE2C4WbDqqoqLqMMAFFCOEDc9PT0yOVyqbOzU1LosEEgENDkyZPNx6SlpZm3R3pr+v1+lZeXW3oKpFAo2Lx5Mz0FADBOHFZA3EybNs3SoNje3m4ZsTzasck0GwJAbBEOEFcul0ter9dcnzx5Ujt27JA08gAkmg0BID64ZDPizjAMXblyRXv27JEk7d27V7m5ueZFmyRrOBhu3HFxcbEqKioYYAQAUcTOAWyxe/durVq1ylyvXbtWra2t5jojI0PBYFBer5fJhgAQZzQkwja3bt2Sy+UyQ8EnPvEJffDBB5Kk7du3q6mpiWZDALAB4QC2unTpklwul27evDns47hiIgDED+EAtnvjjTeG3AkgFABA/NFzANstW7ZM+/fvlyR98YtflMRkQwCwEzsHcJTw6YqbN29msiEA2IRwAAAALDisAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIBwAAwIJwAAAALAgHAADAgnAAAAAsCAcAAMCCcAAAACwIB7CYOnWq0tLS7vl67LHHdPr0abvLAwDEARdegkVaWtqw39+3b5+2bdsWp2oAAHZg5wCDKioqUn9/v/r7+3Xu3Dnz/r1799pYFQAgHggHGFF+fr6KiookSX19fTZXAwCINcIBAACwIBxgRHV1dWpqamrM+nYAAAGWSURBVJIk7dy50+ZqAACxRkMiLIZrSCwqKlJjY2McqwEA2IGdA4xaU1OTFixYoN7eXrtLAQDEEOEAg4o8W+H69etav369JOnixYt64YUXbK4OABBLHFaARfiwwmCHEMLfy8zM1I0bN+JeGwAgPtg5AAAAFvfbXQCcr7e3Vz/4wQ/M9apVq2ysBgAQaxxWgMVI45Pnz5+vxsZGZWVlxakiAEC8sXMAi8zMzEGnIBYVFemRRx7Rk08+STAAgCTHzgEAALCgIREAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgAXhAAAAWBAOAACABeEAAABYEA4AAIAF4QAAAFgQDgAAgMX/ATCkqpI9pf0eAAAAAElFTkSuQmCC)
The base is divided in the same ratio as the sides containing the angle.
To find the value of p, which statements can be used?
![](data:image/png;base64,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)
Her, the value of p is 43.5.
To find the value of p, which statements can be used?
![](data:image/png;base64,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)
Her, the value of p is 43.5.
In the figure, to find the value of x which theorem can be used?
![](data:image/png;base64,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)
Here, the value of x is 10.
In the figure, to find the value of x which theorem can be used?
![](data:image/png;base64,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)
Here, the value of x is 10.
It is also called basic proportionality theorem.
It is also called basic proportionality theorem.
Find the length of the segment AB
![](data:image/png;base64,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)
It is also called basic proportionality theorem or Thales' theorem.
Find the length of the segment AB
![](data:image/png;base64,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)
It is also called basic proportionality theorem or Thales' theorem.
In the given triangle
then the line segment DE ll AC
![](data:image/png;base64,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)
It is also called midpoint theorem.
In the given triangle
then the line segment DE ll AC
![](data:image/png;base64,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)
It is also called midpoint theorem.