Maths-
General
Easy
Question
In the given figure
, and
. find ![straight angle B C D](data:image/png;base64,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)
![](data:image/png;base64,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)
Hint:
As we know AB = AC and AC = DC we find ∠ ACB and ∠ DCA.
And add them to get ∠ BCD
The correct answer is: ∠ BCD = 70°
In
ADC, we know AC = AD
∠ DCA = ∠D ( angles opposite to equal sides are equal)
∠ DCA = 47° (given, ∠ D = 47°)
In
ABC, we know AC = AB
∠ BCA = ∠ B ( angles opposite to equal sides are equal)
∠ BCA = 23° (given, ∠ B = 23°)
From diagram we get
∠ BCD = ∠ BCA + ∠ DCA
∠ BCD = 23° + 47°
∴∠BCD = 70°
In
From diagram we get
Related Questions to study
Maths-
Maths-General
Maths-
Find the value of x y and z from the given figure.
![](data:image/png;base64,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)
Find the value of x y and z from the given figure.
![](data:image/png;base64,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)
Maths-General
Maths-
Prove that ∠YXZ ≅ ∠UWZ
![](data:image/png;base64,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)
Prove that ∠YXZ ≅ ∠UWZ
![](data:image/png;base64,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)
Maths-General
Maths-
Find x: if [9/5]−5 × [9/5]12 = [9/5]3x−2
Find x: if [9/5]−5 × [9/5]12 = [9/5]3x−2
Maths-General
Maths-
Find
in the below figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANkAAADsCAYAAAD5CQNoAAAgAElEQVR4nO3deXDb553n+fcPB3EQJHjfN0Hwvg8dlkTJli0rtmM7bSeZdGq8U8lke3vSVTs1PVO7NbX7x27NzlSmq6treqYnmU1nJp3LazttR4ls2TosUwclijfF+74JkeAJkAAB/H77hyRainVSIAGSz6vKf1gEgS9JfPA8v+f3HJKiKAqCIGwZVaALEITdToRMELaYCJkgbDERMkHYYiJkgrDFRMgEYYuJkAnCFhMhE4Qtpgl0AcJOJuNbX2SgrpFJjw83gGQmKi6N4ooUDIAU4AqDgQiZsEk+3M5pxjuu8dFPf0ev7GFVBT53JIlZVbwR+xbliWGYNao9310SIRM2R1lmqvMGZ3/2EWOZ+8iPUxMaorAyNcTkrQZ+876F0O9UURwfinGPN2ciZMLmrM4y0dLFxY9t7K/7F7yTpSIK8Nqv8Mn7/x8/+vkF+p/LISsqFGNIoIsNrL3ekgub5XDiW9PgMxeQvDqDy+XFi4ImOp/CshO8bl4kZMmLdz3QhQaeJGbhC5vinWTg8w95/z/+mtMJ3+P7/8tB9mdEYEZB9srI6xrC4qMxGbVo9vhHuQiZ8FiKoqAoCrIso1arkSQJcOGcHWeitYmeiZv8Y/0YSwsutISRlF3Da+/8U6oz9YTrpT0/wihCJjyW0+lkcHCQvr4+jh8/TkRExJdf9CyzPnOJX37cy4TNAU4H7kWF9cgKXvnTlym3RmLWBa72YCAGPoTHmpyc5MyZM7S3t1NdXX07ZK5bzCw66XfG8Vz6C3z7u7X4fDLK0jh9n5/hl//wLu211WRkiJDt8d6y8Dg+n4++vj7OnTuHw+H48guOblobz/DvftXK9LoeY6iJsPBwwlOtZBZa2J82hlO9jkv0k0TIhEez2+309vZis9mwWq3o9frbXwiNwehyYPriZ3zYOcvQ3AorKyusOGa5tbjG9HQqZl8I+sCWHxREd1F4pImJCQYGBjAYDBw7doywsLDbXzCkkVNYyTePTHDxv/yIoQhQawEkVL4woqu+S01aDJF7/B4ZiJZMeIzR0VFGR0eJiYmhqKjoy5aMUOIsZdR++00qQ9eQ1pZZXl5medlLSFQqlW+doCAjnLA9fj0GoiUTHkJRFDweD8PDw8zPz1NZWYnJZEKluvu5rEKtjSQ2u5pXfxjLcz4FLwAadEYzcSlmwrUg7fXxe0TIhIeQZZnp6Wn6+vqQJInS0lK0Wu0fPUpCpQklPr+Q+IBUuTOI7qLwQB6Ph5s3bzI4OEhMTAzV1dXodKLvtxkiZMIDra+vU19fj91uJycnB4vF8oCWTHgSImTCV8iyzPLyMs3Nzej1eoqKikTAnoEImfAVTqeTxsZGpqamiI2NJTk5+Z4BD+Fpid+c8BVra2v09/ezvLyMxWKhsLAQjUaMkW2WCJnwFW63m56eHgwGA1arlaSkJNGSPQPxmxPu4/V6sdlsdHd3Y7VasVgsImDPSPz2hPssLCzQ2NjIysoKVVVVZGVlBbqkHU+ETLjP7Ows9fX1GI1GSkpKSEhICHRJO54ImXAfh8PBwMAAKSkpJCcnYzAYAl3SjidCJmxwOByMjY2xtLSE1Wq9fwW0sGkiZMKG0dFRrl+/jkqlIj8/H7PZHOiSdgURMgG4Pet+ZGSElpYWYmNjsVqtX64dE56JCJmAoiisrq4yNjaGzWajoKCApKQkQkLEikt/ECETUBSF8fFxuru78fl87N+/X7RifiRCJuD1emlvb6e7u5u4uDhqampEyPxIhEzA5/PR3t7O7OwsZWVlxMTEiLmKfiRCtsf5fD7m5uYYHR1FrVaTn58vAuZnImR7nM/nY3BwEJvNRmxsLHl5eWLAw89EyPY4j8dDa2srs7OzZGZmUlZWJhZo+pnoF+xhiqLgdrtpbW0lJCRE3IDeIqIl28PW19fp7+9nZGSEtLQ0CgsLA13SriRCtoetra1RV1eHzWYjOzsbi8US6JJ2JRGyPcztdnP9+nV8Ph8ZGRliWcsWESHbo2RZxul0MjQ0RFZWFllZWWJfxS0iQrZHORwO+vv7cTgcVFRUkJGREeiSdi0Rsj3KZrNx/vx51Go1ubm5xMbGBrqkXUuEbA9SFIWZmRnq6upITEwkJydHLNDcQiJke9DCwgL9/f2Mj49TU1NDXFzcncPWha0gQrYHzczM0Nvbi8/n4/Dhw6KruMVEyPagyclJ+vv7iY6OJj8/n/Dw8ECXtKuJkO0xHo+HsbExJicnsVqtGI1G0VXcYiJke8z09DTd3d24XC5efvll0YptAzFBeI/p7u6mt7eXqakp6urqiImJoby8nOTkZHEzeouIkO0xbW1tDA8Po1Kp6Orqwm63U1FRQW1tLRUVFWIQZAuIkO0RiqKwvLzMzZs38Xq91NbWkp2dTVNTE1988QWTk5PYbDaOHj1KXFwcer0+0CXvGiJke4Qsy7S3tzM6Okp6ejrf+ta3yMvLo6qqirq6Ojo7O/nggw+Ynp7m+PHj5ObmEhoaKgZF/ECEbI/w+Xy0trYyPz9PbW0tx44dIyoqisLCQnJycjh9+jSXLl3i97//PXa7nbfffpvCwkKMRmOgS9/xRMj2CJ/PR09PD7Isk5SURFRU1MbXSkpKSE1NJScnh1/+8pd8/PHHGI1GQkNDyc7OFgMiz0iEbA/w+XwsLCxw7do10tLSKCoq+spjwsLCOHnyJJmZmfz85z/nk08+Qa/X88Ybb5CdnS32/XgG4j7ZHrC0tMSlS5eYn5+nuLgYq9X6lcdoNBpCQ0MpKCjgrbfeIj4+nvfff59Tp04xMzODz+cLQOW7gwjZHrCwsMDZs2fR6/UUFhaSnJz80McaDAZKS0t55513iIyM5NKlS1y9ehVZlrex4t1FhGwPcDqdNDU1kZycTGpqKiaT6ZGPDw8P5/jx43znO99BlmVOnTrF1atXcbvd21Tx7iJCtsu5XC5mZmaYmJigoqKCpKSkxw7LS5KE2Wzm7bffpqysjKamJn7zm99gt9tFi7YJImS73Pj4OFeuXAHghRdeIDU19Ym/NywsjEOHDpGXl0dXVxdtbW24XK6tKnXXEiHb5aampmhtbSU+Pp7U1FRCQ0Of6vsrKio4duwYDoeDX//618zPz29RpbuXCNkutrq6yvj4OJOTk5SXlz/2WuxB4uLiOHLkCAcOHODGjRvcvHmTlZWVLah29xIh28XuLmtxu90cP358U2eOSZJEfn4+L7/8Mmq1mrq6OmZmZrag2t1LhGwX6+vro7Ozk4iICA4dOrSplgxAr9eTlpZGWloaDQ0NTExMiAGQpyBCtkvJskxPTw/j4+NYrVaSk5OfadZGREQEBw8eZGxsjKGhIZaXl/1Y7e4mQrYLKYrC0tISIyMjeDweiouLn/k5Y2Njqa2txePx0Nvby8zMDIqi+KHa3U/MXQxmPg+e1SWmpu24fDL3dtAktQZDTCJxYUYM2vs/KxVFYWBggOnpaSIiIsjOzkatVj9TKUajkYyMDEwmEwMDA4yNjWG1WsVSmCcgQhbMHNPY6k/xr//yv9Ln8eK65w2tiYil6J1/y7/5+kHKk8O5961+d1nLyMgIWVlZ7Nu3zy9H1Gq1WjIyMpiammJiYuKZn2+vECELZrIX36ob21g6L/zlS+RaE7i97c0azsUJWj6/REdiGrGmAlLvObtPlmVu3LiBLMsUFxcTFhbmlxZHp9NRWlrKqVOnmJ2dFd3FJyRCFvS0qFQZVNWe4OhBCzEALDM/Vo/jk/+XCfssM264O4/D7XbT39/PwMAAcXFxlJSUPHNX8S6NRkN6ejqKojA7O8vS0hKRkZFfDbBnlbXJQa5cd5CyP4e09BiMAN5FFseb+N35HuaWXEhSIlkFpRw6nkekSmFx6CyXbgwzNL3G7fyGoNPncvjVCqzpIaz2tdF59Qbta+Gos2o5WZVORnTwn28tQrYjqNHq9Oi1Wm6PD2rR+9yotEs4JS/3Ttt1Op1cvnyZ6elpjh49Sm5urt9CplariY+Px2AwsLKywsLCApGRkfc/yLvM0ngrdafO8e6HEq/ERRGdHoPR48Qx0UfzuU85fb6fpZV1fA4TaeNLSNYUXk7SMtf4D/z+YxtdMwaiQgD0GE0yWQdzyEjwMtnTwMXTZ2iRElCmwslKjCA2LJbQIM+ZCFnQU1AUN87lRRaXl1HD7Wu17lG67AkkyqHce8qzw+Hg8uXLLCwskJycTFpaml9bsrtTsxRFue9emaKA7HHimWngxue/5P/4SQMLy4c4tO5FAXDYGG/u4uy5MF753l+SlxLJWsdHnO3q55efjHLku6m4B/tI3fcdygq/xvEEABUqdThxieGEzrezSAyqw9/jz6wRzE/2sbS4wORyLNYYv/x4W0aELOitIfvq+Nm/G+X9GBM6gPVVFK+b0Of/jJqaHNLv2Z/07jnQeXl5FBYW+nXrAEmS0Ol0qFQPuPMje5i9/D/45NTvOT0qY3lpH1MXwtHd7Uoaookr2c/Xw/aRfTiXOIMKn2mKmcEv6Pj8CmPfPMj4iJmEwwWUluSTH33vkysghWHwTLN65RI/b0zEk/Ic3y01Eft0UzEDQoQs6EkgmYhKSCI+KQIDgKKgM0dT/sYRynKiCb+ze5vT6WRgYICFhQUsFguxsbEoiuLXYfaHDnZIEhpTFBEZ1VQmxpBnVfF+wy02enJ6M9E5Zg7kfPkt6+su3MgQGoKaJUaG3bTaP6Czt4NLZggJiyD/5HeoTjYRZUoiJauA/aU25NUoNAUV5KZEEmnw24+2ZUTIgp4OlaqUr333n/NcdQZRAJKESqXGEB6J8Z7rkfn5ea5evcri4iITExMsLCw8uNV5BncDqyjK/YFTqYks/hrHLcc5sjLHQvtFfv+gJ1A8KEszdLT3c/P6eZrmJGL2FxPvsDEyscywfgS92sdKqAeNXs2KIYOIQzUUppmJzX+e51P3sV9WI+nDMBuD/GLsDhGyoKdCkkKJiksgKSGBhx3VJ8syNpuNpqYmFEWhu7ubrq4ujh49islk8ktrpigKbrcbWZbRaDSEhHz5JpeQUBvMhBkA3e3BmAe+omcd3/wILec/4WLjAK74EirCVKzPeSCpgMqa5yk5XIol2ol7aYi+079jIC6B6OgSLJEmTHoTm5uBGTgiZEFPQVF8+LxevI94lMPhYHh4mPHxcXJzc+nt7aWlpYWOjg5qamr8cjPa5/Nhs9lYW1vDZDI9/HROn4+HTh9Wa1GFJZBTuQ9VciYLtjXkpqvcTD/K0R98n+SSUrKscZg14FtMRPn4v9PsnGPOA5Zn/gkCQ4Qs2Ekq1Br1Y1ui2dlZuru78fl8vPLKK+h0Onp6eqirq6O8vNwvIfN6vUxOTrK6ukpoaCjh4eFP3kLe6V7KkhZVbA4Hv57DQdYY/PjXnPrxaVpU3+P7b5UQc0+ZPtlEWPQa6wYf6zt49paYIBzM1HpCIhPIq8gg2qTnUXPoJyYmaGtrw2w2c/LkSQ4fPozD4aC5uZm5uTm/LE3x+XwbE4O1Wu3TzfjwrLBiH6dzcBa7y4NHUVAUiRCDmqSMJZZdQ9xon2J8YQ23oqAoHny+VVZXowjThGDYwds+ipYsmJliiak6zv/2d+tEpETysA2zvV4vAwMDNDc3U15eTmhoKDU1NTQ0NDAzM8O1a9d4/fXX77uG2oz19XXa29sxGAzExDzlzanVEYbaLvF3dZG88PUyiuNMmFigf2SV4aE40qY+5ccfhnP0pVKOlCUSi5NV+wgzjkPkRsWR8vTrTYOGCFkwU2nRmiJJzXn4QxRFwWazMTo6ilqtpqKigvDwcGpqaqipqeGTTz6hvr6eV1555ZlD5vF4GBgYICkpiZSUlCfY9eqe/zGmEpuUSZH61/zs//o5HpeCBhMJKeUcfvuHHNtvxGj/MZ+8+yEf/mcfekIwhKbz0mvvUJqSSrR/7qcHhAjZDifLMkNDQ/T39xMZGcmBAwcIDw9Hr9dTUlJCY2MjbW1ttLW1UVpauukDJFwuF5OTkywuLrJ///5Hby0XEk64tYrXv+8gPTuWUICQCGJSynjpxTlU5mkWnV4kTCRmlVB9pIq0WImwF19CEzbC0IwLCR360BQqDucRHxXKzhisfzARsl2gq6tr40ik3Nxc9Hr9xt4cJSUlnD59mk8//ZSsrKxNh2x5eZnu7m7UajU5OTkkJiY+/MG6MMKyy3gxVUGt09x5k0nowhLIqX6L1BIfsnL739SaEEJ0IWhUEJf7Cm9mevH6FEBCktSEGPRoVTt41AMx8LGjKYqCw+Ggq6uL1dVVKisr77snlpmZSWVlJWazeWMv/M3uab+0tERzczPx8fHk5uYSExPz8JZMkpA0WvTGELRq1Zf3yyQVaq2RUFMYYWFhhIWZMBpuBwxA0ugxGE0bXzOZDISoJXb6ulARsh1sfX2djo4OBgcHiYqKorKy8r7rLr1eT3p6OtnZ2fT19dHf37+p7dzu3h9ramrCarWSmJjol1sCe4UI2Q7mcrmor6+nv7+fmJgYCgoKvjIhOCMjg8OHD2O32/noo48YGxt76teZnJzc2AruxRdffKpdiAURsh3N5/PR3d0NgNVqJTY29ivLWqKjoykrKyMnJ4fLly/T29v7VAdHuN1u2traqKurIy0tjcrKyvsOEBQeT4Rsh7p7sN/U1NTGtdeDunCSJJGQkMBbb72F0+mks7OTqampJ36d0dFRrl+/zuLiIidOnCAqKkpsnvOURMh2KJfLRXt7O/Pz81gsFnJzcx/65o+KiuKNN94gMjKSjo4O+vv7n/g16uvraWlpISsri5deemlTuxDvdSJkO5TD4eDatWvIsozFYiE5OfmhIdPr9eTk5FBSUsLo6Cjd3d2PnGalKAoul4vm5mbOnz+P0+nk2LFj5OXlPfMN7b1IhGwH8nq9zM3N0d7eTkxMDDk5OZjN5kd249RqNV//+tdRFIW2trZHDoB4PB56enr4zW9+Q19fHyUlJRw7dkwEbJNEyHYgp9NJX18fU1NTFBcXk5mZ+djv0Wq1fPvb36awsJDm5mY++uijBz5OURSmp6f51a9+xenTp8nKyuKtt94iPT3db3uF7DUiZDvQ4uIibW1tyLJMTU0NGRkZT/y95eXlaLVarl+//pVZ9IqiMDIywk9/+lPOnTvHkSNHeOeddzaWyogBj80RIduBZmZm+Oyzz9Dr9cTFxT3VVKmKigoyMjIYGhriiy++YG1tDUVRWFhY4MKFC/zt3/4tX3zxBQcOHOBb3/oWlZWVftscda8SIdthVldXGR0dZXBwkKysLMxm8+O/6R65ubnk5uYyPz/Pe++9h8PhYH5+nvPnz/Ozn/2Ms2fPkpmZyTe+8Q0OHjxIdHT0459UeCQxN2YHubuspb+/H41Gw759+4iNjX2q54iJiaGwsJCIiAg+++wz3n77bRYWFvj1r39Na2srZWVlvPPOO1RWVj7dymfhoUTIdpjx8XHa2towGo0cPHiQuLi4p/p+jUZDdXU1J06c4K/+6q/40Y9+hM1mw+Fw8Oqrr/LDH/6QtLQ0dDqdCJifiJDtIIqiMDQ0RE9PD6WlpSQmJm7qYL+UlBSqqqqIjo6msbERi8XCa6+9xje+8Q2sVusWVL63iWuyHUJRFGZmZujp6WFtbY3Dhw9vem2YTqcjNTWVyspKAEpLS3nttdcoKiryZ8nCHSJkO4QsyxtTouLj46muriY0dHN7VN+dz/jiiy8SERGBz+dDrVaL+2BbRIRsh5Blmc7OTmZmZsjNzcVqtT7TPvcxMTEcOXIEi8XC+Pg4o6OjrK+v+7Fi4S4Rsh3C4/EwMjKC1+vdGB18lpZHp9ORkZFBVVUVs7OzNDY2bmqtmfB4ImQ7gKIojI+PMzk5SXh4OPn5+X553pCQEA4dOoRGo+HatWu0t7f75XmF+4mQ7QCyLHPu3DkmJiZIS0sjNzfXLwdJ6PV6ysrKSE9PZ3x8nM7Ozo0ZIIL/iJDtAB6Ph5s3b6JSqcjJySE5OdkvIZMkibCwMA4fPozJZKKnp2ejSyr4jwhZkFtfX2diYoK+vj7i4+MfuI/Hs9DpdLzwwgtkZmbS2trKxx9/zNramt+eXxAhC3pra2vU19czPT1Nfn6+3+9lqdVqMjIyqKioQKVS0dDQIFoyPxMhC3JOp5NPP/0USZLIy8sjLS3N768REhLCwYMHKSgoYHR0VAzn+5kIWRDz+XwsLi5y5coVMjIySEtL25L9DtVqNeXl5VRWVmK32/n444+Zn5/3++vsVSJkQezuwX5zc3NkZWVt2bITSZIwm83k5uYSHx9PXV0dCwsLW/Jae5EIWRCz2+00NTWxvr6+MSF4KxUXF3PixAnGx8e5evUqc3NzW/p6e4UIWRCz2WxcvXqVxMRECgoKtnwBZVpaGocPHyY0NJTPPvvsqfZnFB5OhCxIud3uje3bDh8+TGxsrF/ujT2KRqMhKSmJoqIient7GRkZeardhoUHEyELUhMTE3R2duLxeDh27NhTbzOwWZGRkdTU1OD1erl27RrDw8Pb8rq7mQhZkOrp6aGjo4Pk5GT27du3bTv3hoeHU1paSnR0NJ9//jkdHR3b8rq7mQhZkBoeHmZ8fJzCwkKys7MxGAzb8ro6nY60tDSKioro7++ns7OTlZUVMZ/xGYiQBSGv18vs7Cxer5fy8vJt32sjKiqKt99+m5ycHLq6umhqahKzQJ6BCFkQunLlCh0dHURGRlJeXr7tK5b1ej0WiwWr1cr09DStra14PJ5trWE3ESELQi0tLczMzJCeno7Vat32kKlUKsxmM+Xl5SiKQlNTE729vSJomyRCFkTungHd29u7cbB6bGxsQLZm0+l0HDhwgLS0NAYHB2loaBDD+ZskQhZE1tfXGRgY2Dietry8fMvvjT2MVqultLSUyspKfD4fzc3NOByORx65JDyYCFkQcblcXLp0iampKSwWCxUVFQHbYFSSJPR6PcXFxaSmptLX10dfX5+Ynb8JImRBZG1tjQsXLmAwGLBarUGxD31hYSHFxcVMTU3x2WefsbKyEuiSdhwRsiDh8XiYnZ2lp6eHpKSkLVk3thkJCQkUFRURFhbG5cuXmZqaEgMgT0mELEg4HA56enpYWloiMzOT5OTkQJcE3F5rZrVa2bdvH1NTU9y8eZOlpaVAl7WjiJAFicXFRZqamlAUhaKiItLT04PmwIf09HSOHDmCJElcuXIFm80W6JJ2FBGyIKAoCnNzczQ1NZGUlITFYnnsGdDbKTw8nLy8PDIzM6mvr2diYkKMMj4FEbIg4HQ6GR4eZnh4mIMHD5KQkBDokr4iJiaG48ePMz09zc2bN7l161agS9oxRMiCwMTEBE1NTeh0Ovbv3//UB/tth7i4OF555RWSkpI4d+4cDQ0NojV7QiJkQWBsbIz29naSkpIoLS0lIiIi0CV9hVarJTY2lkOHDjEyMkJXVxc+ny/QZe0IImRBYGFhgdnZWaxWK1FRUZs62G87mEwm/vRP/5S4uDg6Ojpob28XS2CegAhZgE1NTdHf34/P56OwsHDTB/ttB51OR2VlJWlpaXR3d3Px4sWgGZwJZiJkAdbR0UFrayvh4eEUFhb6dQtuf5MkCY1GQ0FBAR6Ph+vXr3Pr1i3Rmj2GCFmAKIqCLMsMDAwwPT1NRkYGmZmZQR2yu44ePUphYSEjIyOcPXtWLOh8DBGyAJFlGbvdTn9//8a+ihEREQGbdf80ioqKKC4uxm63895774mW7DGC/y+6S3m9Xrq6uujt7SUiIoL9+/ej1+sDXdYTCQsLo7S0lOzsbNra2uju7sblcgW6rKAlQhYgHo+Hq1evMjs7i8ViIS8vL2hHFR+kqKiI2tpafD4fZ86cEXvnP4IIWQAoioLT6aSlpQW1Wk1BQQGhoaE7aqQuMTGR4uJiEhISuHDhAlNTU+La7CFEyAJgfX2dqakpJicniY6OJjs7e0cFDG4P56enp1NaWkpXVxetra1i7/yHECELgLW1NTo7O1laWiItLY3MzMxt3yzHHxITE3n++eeRZZlLly4xOjoa6JKCkghZADidThobG3E6nRQUFJCfn78jQxYXF0dtbS2FhYV0dnaK86YfQoRsmymKwuLiIi0tLeTk5JCdnR3okp6JTqfj4MGDG4tOp6enA11S0BEh22Z3A7a4uEhJSQkZGRmBLumZhIWF8eabb2Iymairq+PatWvivtkfESHbZna7nevXrxMSErItB/ttNZ1OR25uLmVlZczMzNDc3Mzi4qII2j1EyLbZ4uIiXV1dxMfHY7FYgnJZy9MKCQnhxIkTREZG0tfXx8DAgFhrdg8Rsm3k9XpZWFjg1q1bZGdnExMTsyOmUT2OSqXi2LFjWCwWRkZGaGhoEC3ZPXb+X3gHGR0dpb6+HkVRKCgo2LaD/bZDZGQkxcXFqFQqrl27htvtFkG7Q4RsGw0PD3Pjxg0iIyPJzc0lPDw80CX51ZEjRygoKKCzs5P6+nqcTmegSwoKImTbxOVyMTY2xuTkJLm5uaSkpOyIZS1PSq1WU1hYSGVlJW63m9/+9rdif8Y7RMi2gSzLTE9P09vbi8vloqamhsjIyB03lepxjEYjubm5ZGRkUF9fL3YbvkOEbBv4fD66u7vp7u7GbDZTU1OzbWdAbydFUcjMzKSiooK5uTmuXbuG3W4PdFkBJ0K2DTweD+3t7RtdxYyMDEJCQgJdlt9JkkRiYiLl5eWEhoZy7tw5xsfH9/wAiAjZFvP5fNjtdrq7u5FlmcrKyh05T/FJmUwmsrOzKS4upru7m56enj1/EowI2Rbzer20tbUxNjZGVFQU2dnZaDSaQJe1ZSRJIjU1lbfeeguDwcDFixfp6ekJdFkBJUK2xbxeLyMjI8zPz5OWlkZ1dfWu7CreKzw8fGPK2OXLl+nq6gp0SQElQrbFfD4fnZ2dqNVq8vLyiImJ2dXdRQCNRkN0dDSlpaWsr69vLIPZq9dmImRbyOv1Mj4+Tj6Nwr0AABNASURBVH9/PykpKRQVFe26YfuHCQ0N5bnnnts4Crejo0OETPC/tbU1rl69ytLS0sbizL3CYDBQXl5OaWkps7OztLS0sLy8vCcnDouQbaHV1VWuXLmCRqMhLy8vaE7P3A4qlYqoqCiqqqrQaDQ0NTXR1taG2+0OdGnbToRsCymKQk9PD7GxsSQnJ++qaVRP4u6q6YSEBG7evMmVK1dEyAT/cTgcdHV1MT8/T3l5OZmZmYEuadtpNBrS09MpLCxEpVLR1tbGwsLCnusyipBtkZmZGc6cOYMkSVRWVpKamhrokgJCo9Fw4MABSkpKGBwcpK2tjbW1tUCXta2CO2SyD8/aGo6lNTyKwn1jU4qM4nGxsriK2+Pj9mejgs/rwmGfY252jtl5J073l19TZA/u5XkW5maZXXCw7NqaQ+xkWcZms3Hjxg3i4uKIj4/fc13Fu1QqFeXl5VRXVzM/P8/Zs2ex2+17aqQxiKceKMjLUwy2DNE5oqb6O/tJ0GkIufM1ZW2RxZFezl5wkHeyjOzsGIyKg/mxHq5++AV9Lh9r5hKqD5VRU5pApLSO1zlO3ycfc21siZmIMvLLD/BmRTRqlX+H1R0OB2NjY4yMjHDy5Mldt27sacXGxlJaWkpSUhLNzc2MjY0RGxuLwWAIdGnbIkhDpsDqBIOt53j/769ztTeJ+LeqiLkbMreduZEbnHvv9/zd36v5Z5ZEErJNKLZuei7/nj98eIV+n49F4zDjkgZNXAS1sS5cc53Un/kdnw46GI1bZFqO5bncaOLD/NekK4rCzMwMHR0dOBwODh06FJRnQG83q9XK8ePHee+992hrayM7O3vPhCzououKz4NnaZq5m+/x83f/nr/99AY2tcTdtsbrXGBx8DwXTv+Y//Unp+l3r+NRS0jMMlJ3msZPmsj+D/+Dn/z2XX71L03IU82898k4q8ureBfc2Kr/nH/+f/9X/tP3q3ghYoDmKfD5+Tq8r6+PpqYmoqKi2LdvH9HR0f59gR0oMzOT2tpadDoddXV12Gy2QJe0bYIuZJ5lG6Mf/p/8+//4GVM6Cy+9fpiUEO1GyGYv/YRf/aef8dsmHf/kX75NToQJA4DsY2E+nmV7BZWp4SREm8nKqCTz1iralnamVVqkmHAyuv6B3/zoX/Nv3+2m3lVATTJo/NhblGWZ/v5+RkdHqa2tJSwsbM/M8ngUlUpFfHw8xcXFdHR0MDExsWcOdg+67qJaZyKi4AS1Wi+6sHVGWye5OPBlS2ZMr6b0RBKxLg1xoXOMhUyhUWRYWGBhNYTpCCvhJi1arQZDSjYp2g4WZkaZmteRElvIga9/E8OkA3t4Hpl5WUSHgj8z0N/fT09PD4qiUFRUtGcHPB4kKSmJV199lfr6ej7//HMyMzMpKCjY9R9CwRcyg5mo8tc4UQKSrYXP2qe5dzpteM5h9mXJyEsT3Lr+ye1rNEUGp40FeZkxczY+SQUqFZgjMBpkQtwOHCta1KnJZB79E1J9CrJKg1qtQeXnP/DAwABjY2NERERQVVUlQnYPs9lMeXk52dnZXLt2jaqqKgoKCgJd1pYLuu4ikoRKq0en1xOi1XylQEkTglanR6cLuf8TQnHgYpVllYqNSyxJhSSBhIIs3/5/dYgencGAQaclxJ/9xDuGh4ex2+2kpaVRUVEhQnYPSZIwm80899xzzM3N0d3dvSd2Gw66luw+j/rl33vfTJJAisSEmViv78uWT/aiyKAgoVY/WbdQlmU8Hg8+nw+v1/tE1w2SJKFSqZAkiba2to0V0DvleNrtFBoayqFDh/j4449pbW2loaGB559/fkedMvq0gjtkT0pSQUQCkZox0uZmkXw+8KlQ7HMsOdS4QqOIjJJ42Ga9iqKgKAqyLDM1NUVPTw82m23jv0fNt1MUhZCQkI3dgBsbG0lNTaWmpmaLftidTa/Xk5+fj8VioampiUuXLnHo0CERsuAngclIhMGOydHLzYmTWMOjYbqDYY2G5XQrSRFqNA8J2dzcHI2NjYyMjDA4OMjQ0NBGS7a6uvrI1mx9fZ319XVUKhUOh4Pl5WVeeOGFPXGtsRlqtZqoqCiOHDlCX18fN2/eZHR0lNzc3F27mDW4Q6YoyD4fXq/EVzuOCoos4/X4kBVAZSAuy0hipp2GP5zGOBQHU73MxFlJLs0jVqfhj/+EKysrdHZ20tLSwueff47NZkOtVmM2m0lMTCQuLo6wsLBH/vHdbjeLi4vMzMxw+vRp4uLiyM7OFjegH0Gr1XLkyBGuX79OV1cXDQ0N5OTkiJAFhEaHMSKCuEQJnfTlMD4AKg0aYxhxKVGY9CGoiCCp7CBVi04GfnWe0+1anMZM8l8s4aWDCRjvacZcLhcrKys0Njby7rvvMjk5iUqlIjc3l8rKyo2D0k0mEzqd7pGHQsiyzOrqKmNjY9TV1WG1WrFYLLv2DeMvGRkZFBYW0tXVxfXr13nttdeIjIzcFQdw/LHgDpkpgcwDNZxMkkgKUXNfr10XTmh2Oa++4yQrIxoDeoyxBRQc0vHKLT1dTi+uyAr2V+VTGa/baMXcbjetra00NjbS1NTE8PAwpaWllJSUkJ+fT35+/lPP0HA6nQwPD6NSqaisrNxTK6A3Q5KkjXPNEhMTN3oT+/fvx2QyBbo8vwv+kNUkkPmgMQRdOKascr6Wdd8/Ep5YwIv/ooAXH/AtTqeThoYGTp06RWdnJ0ajkddff5033niD1NTUTe8iNTMzw0cffYSiKOTn5+/ZZS1P6+7hgR988AFnzpyhoKBgV4Zs97XND7G6ukpbWxt//dd/vdGt+4u/+At+8IMfPNOOvl6vF7vdTnt7OxkZGURFRfm58t0rPT2dmpoaEhMTuXLlCrdu3dqVB7vviZDJskxfXx9/8zd/Q0NDAydPnuQHP/gBBw4cwGQyPdP10/LyMoODgwwPD1NdXb3jj6fdThqNhrS0tI0Fne3t7SwsLAS6LL/bEyEbGBjgt7/9LZ2dnbzzzju88cYbWCwWjEbjM8+bm56epqGhAbfbTW1tLSkpKX6qem9ISUnhwIEDuFwuPvzwQ4aGhgJdkt/t+pCNjo7y6aefcvXqVQoLC3nzzTfJy8vDaDT65fknJydpaWkhLy+PrKysXXlNsZVMJhMWi4WKigra29vp6+vD4XAEuiy/2rUhUxQFp9PJ5cuXuXjxIqGhobz++uvk5eURGhrql9e421WcmpqiqqpKLGvZBEmSiI+P5+2338btdnPjxo1d15rt2pB5PB56enq4ePEiKysrvPbaazz//POEh4f7LQhDQ0N0dnYiSRJFRUViruImRUVF8eqrrxIfH8/Vq1dpamoKdEl+tatD9otf/ILu7m7279/Pyy+/THx8vF9vEk9PTzM6OkpoaCjHjh3blQf7bQeNRkNCQgLHjh3D4XAwPj4e6JL8aleG7G438fz586Snp/PGG2+QnJzs99kEIyMjTE9Pk5ubS1pa2q4/rWUraTQavvnNb25shNrW1hbokvxmV4ZseXmZP/zhD0iSxHPPPUdxcbFfA6YoCvPz8/T29uLz+Thw4MCunA60ndRqNeXl5eTl5TE4OMjp06cDXZLf7Lp3hsfjYWxsjPb29o3pUv5eRiHLMs3NzQwNDZGUlER1dbWYq+gHWq2WmpoaTCYTN27cwG6374p9QHZdyGZnZ7l48SILCwscPnyYvLw8vz6/oih4PB5u3LjB3Nwc2dnZYkKwH9XW1lJcXMzQ0BBnzpxhdXU10CU9s10Xsunpac6ePUtERAQlJSXExMT49fnvngHd3t4OQE5ODmazWQzd+0l2djYVFRUAvPvuu7vivOldFTKPx4PNZmNsbIzKysot2e9wfX2d/v5+hoeHiYuL2zhMQfAPRVGwWCzk5eXR2NjI1NTUjj8JZle9O2w2G/39/RiNRqqrq/3eisGXE40dDgdlZWXieszPJEkiKyuL6upqvF4vH374IZOTk4Eu65nsqpDNzc0xODiIRqMhMzPT71OcFEVhdXWVjo4OQkJCSEhI8Mv8R+F+MTEx5OXlER0dzWeffcbk5OSOPm5pV4XsbksWERGB2Wz2+6iiy+VifHycnp4eUlNTSU9PFwHbAnq9HovFwosvvojNZuPmzZvY7fZAl7Vpuypks7OzTExMkJCQsCX7HS4vL9Pe3s709DSlpaXk5OSIkG2RxMRETp48SUREBM3NzYyOjga6pE3bVSFbWVlhcXGRxMTELZlHuLS0RHNzMx6Ph9LSUjIzM0XItojZbKakpIScnBz6+/sZGBjA5XIFuqxNeartB7xeLx6PJ2j7x3fvqRiNRlwuF06n06/PPzU1RUtLCyaTCYPBgNvt3vW73waSSqWisLCQU6dOce3aNQoKCigpKQl0WU/tqUI2MjJCQ0MD8/PzQRm0+vp63G43fX19vPfee35b0nLXwMAA4+PjxMfHc+HCBQYGBvz6/ML91tfXGRsbY35+noaGBqqqqnZvyO6uzWppaeHdd9/FbrcHZcjuHpPa1dXF8PCw37tyDocDRVFYX1/niy++QKMJ7n2IdjpFUXC5XHg8HtbX13fs7I8nDtnq6iper5fw8HAMBkNQdpOSk5NRFAWNRrMl9cmyjNVq3QhXMP4OdiOr1UpqaipZWVmPf3AQkpQnfKesra0xPTXFxOTk7U1Gg/SCX5Ik/7z5JQnpng1VFUXZOABDRGt7qVQqwsLCSExM3JE7M98TMhnfugevLCMrfNnVUhQUSUKl0qAN+epRRruaoiDf+fWIqVPBQfZ57mzNrvzRh93d96ja72fOPas73UUvim+JmdYm+m0r2Nf/6FEqNeiTSc3KJD83BhMQXD+Gf62v2pkbb6NjcBnH2u2lFuHJmaTll5EZpiJE5C0wXMssTY/QfnOYxXUv9+/QaEBvTKb0kJW4MAPBtHz2Tsg8+DwT9Hz0E37ZMEHXgpu1lVUWlnxEJEeiD9Gjin+eF/7kT4jPjcFAsG89vHm+1UVmB65x4ZOf8ovzt1hY8qLCQ1z589R+O4q3KlJIDdOg3s2fMsFqZYrRuo/46//wj0zoVKh02o2elew1YTRV8M6//585Xp5OskH7lQNGAuVOd1FGkVdZHJ9gbsXFqq2X5k+v8d9+ucw/+/t/SlFSJKEhEURERxEfZ0LHLm3JFBl7/S8488Gv+IntZb71Tg1l8SZM2Og8f4GGejtZ/+r/4Z+UxxErDtDcfrdu0vTRH/jRj6eo/d9fpdQaz93Zqc7ZfrqufMBPB5/ne3/+NV7fn0IswfE+vdMgqZBUJiLScolAQYmWWWofIUyrIyuvkML0aMIkkJCCougtocgos/10XJuipS+DV//sZY7vyyI9LIQQnMS65nAtXODjizepyNxPaLwR/+zcKDwdLSH6GNKs+RQWJxN+5189C0bMCzf5xW+Hcd9axEvwbDJ739WFJElIkgrVnZE1uDPCppLu/FuAqtwOigzOIYbWVIzGv8BrR7JJD9ejV6lQqUwk5BZSUGZBamxhdGwFx85e4rSjSZIajVaLVqVCdee/EK0GleTF41PwBdnw7269tHpqCgou9zSz4WpWcgpIMWjRb3yoSKjC44mKSSF/6SorM2usWQHRZQyAdVxrk/S2NBLiiLvdXZQk3Evj9A7OoquqIjw+nGA6HFeE7C5FYX5hlvnVVWSDHvUffxqqNBgNIaRHuZFRHnlmvLCVlpm3XeC//+g6OmMIKkXG5/PhUUdjzDzOt//8GIcK4zETHNdjIEK2QZIkTKGhGE0gy6oH3A+U8HhhadGH3iNCFjhGwszFlLxZQ2ZKJIa5q1y8UM+ZgQS++T+d5JXyTNJN6qAZWQQRsvuEmRKIXh1BPz3GijoLnexDWpnC5jOjVntxO3yMK6mUROrYguVqwhMxEhZRyotvfZfDRYmYFivISorF9+E4qgU7Po8HmeAKmbitukGFpE8nVZJJnLrK2TYbt9a9KO5phlquc+4fz3GtfQRX+X6yssMJMwS63r1LARRFRgYIL6Rw/1G+Vq1l9LMP+EPrNDOrwbVX40NbMkVRkOU/nrqyi0lqiLRQUNnP6PwlTv+uDr1sJVdno+2T81y+3MxqejwRR59Do1JQ+WTQiM+obacoyLL85bQqlY7o9EJqDpQzWP8HPjp1ndQwHZEl8ZhCgqM9e3DIJBVqrRa9QYt6V4/b30MCyRBJalkVB73zjJ4+z+l3r3JRWmX04gSedS+xMU5mhur4oiuKxFALWZGiOdteEiqNFp3+/velRhdPWu5BThzr5rMPT/N5TgTJCQfYn2wOittODw6Zzkx0dg7Pvewk1qgNquHQraaPtFJSE4LOPc6PPxxhfN6HNquao89lUlZs5/0/jGJfcrDqCa4uyZ6gC8ecaaG6dp0Es/6e96UOQ3QeRS+/zbeG3mVKtcaS24uCEhTTJx6y1OV2V1GWFdRqdVB8GmwrRUFRfPhkhdsDwbdvxEsSyLICKhUqSYVqr/1eAk5BkWVkRUKlkv5oUe7tpUg+n4wiqVDdmUARDJ54PZkgCJsjrtwFYYuJkAnCFhMhE4QtJkImCFtMhEwQtpgImSBsMREyQdhiImSCsMVEyARhi4mQCcIWEyEThC32/wMRNPjfh5yFowAAAABJRU5ErkJggg==)
Find
in the below figure.
![](data:image/png;base64,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)
Maths-General
Maths-
Use the given information to prove that the given triangles are congruent.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPMAAADVCAYAAACCA8YUAAAgAElEQVR4nOydd3gU5fbHv9tbdjcJ6QmShGYo0ovlJ4KAFAHF0LwUIag0aYoiIr0JUlQEaZcgYEFQrgUBBVHpnQuIgJSQRvputpeZ+f2B78vsErgEN5vdZD7PkydlN7uzM3Pec95TRRzHcRAQEAh6xJV9AAICAr5BEGYBgSqCIMwCAlUEQZgFBKoIgjALCFQRBGEWEKgiCMIsIFBFEIRZQKCKIAizgEAVQRBmAYEqgiDM/wOWZenPJPOV4zj6JSAQKIiE3Oy7w3Ec3G43OI6DWCwGx3GQSqX4/vvvUVpaiqeeegphYWFQKBSQSCSVfbgC1RxBM98DlmUhlUrBcRxEIhEAwGKxYO3atXjllVdw9OhRKBQK+piAQGUiCPM9IEaLTCYDAIhEIpw6dQonT55EYmIiGjZsCJFI5GGKCwhUFoIw3wOJRAK32w3gtmB/++23KCgoQK9evRAVFQWXyyVoZoGAoFKFme9QKuuxu23nH/SxB0EkElFhNRqNOHr0KEJDQ9GpUycolUr6HAGBykZaWW/McRxYloVYLAbDMJBIJBCJRB6CSJ5DzFipVEr/7m3e8v+PL1z/VNDI/4tEIly8eBHnzp1DSkoKUlJSIJPJBI+2QMBQKcLMsiwYhoFIJILT6YRYLKaCXRbk7/fS5ICnFiXP8ZXWZBgGa9euhclkwjPPPIPQ0FBBkAUCikoRZiJ0IpEIcrmcCjd5jEBMZvJcoqm9X4P/fP5j/xTyeizLIicnBz/99BN0Oh26dOkCqVTqs/cREPAFlSLMNpsNO3bswB9//AG9Xg+9Xg+tVguNRgO5XA61Wg2VSgWZTEZ/ViqVkMvlkEqlEIvFHhrY+2dignMc94/ivyKRCAzDgGEY7Nu3DwUFBejRoweSkpLo4+R9BQQqm0oRZovFgu3bt+Pnn39GTEwMSktLYbVaIRaLIZfLodFooNVqoVQqodfroVAooFAo6N91Oh39OTQ0FDqdDmq1Gjqdjj5GNCcRfrFYDIlEQn/ma/t7aVeyn//pp5/Asiy6dOmCkJAQ+jhJKCE/l7XI3A/lfb6AgDeVIswulwulpaV47rnn8M477wAAnE4nSkpKYDKZUFxcDIPBAKPRCKPRCIPBgOLiYuTl5eHGjRtwOBxwu91wOp1wOBxwuVxwu91wuVxUuMLCwqDT6aDX6xEWFga9Xo/Q0FCEhoZSa0ClUtHFQ6lUQqlUQq1W04VDKpVCLpejoKAA+/fvR3h4ONq2bXuHs45sB1iWpZYA8QmUtd/33hoQS4Jkmd3Ngeft5OP/Tv6fvAbfwej9XO/XFRaRqkGlCLPT6YTRaESLFi2QkJBAb7SkpCSwLEuFwPsGZFkWNpsNZrMZVqsVVqsVpaWlsFgssFqtsFgssNvtMJlMKC0thc1mg9FoRGlpKfLz8+nPZrMZwC3vuEKhgFwuh1KphEKhoEJNfg8JCYHJZEJ+fj5q1qyJo0eP4vr169Dr9dBoNNBoNJDJZPS1iAXA/yLWAfkMZWly8lhZ1sLdQncE/qLBf4xvJfC3IAJVk0oT5tLSUoSFhXnceHxNQvDWaGq1GhqNhj6H7I0BUK3IcRxcLhfVlAzDULObYRhwHAeLxYKioiLk5+cjPz8fhYWFMBqNKCoqQnFxMYqLi5GbmwuGYXDw4EG43W4oFApMnz4dDocDdrsdDocDAKDX6xEVFYXw8HCEhYUhLCwMNWrUQFxcHEJDQ1GjRg2q6VUqFf0i2wfyOzkH3s69soSRf1742wZ+uM77//kIQl31qFRhJuEdb03lHWsuy1zlP0bg38j8mLREIqHPlclkYBiGmt3JyckAPG9uEiqz2+04ePAgUlNTkZSUhLVr10IkEsFut8NsNlOhNhqNyM/Ph8lkgsFgQElJCfLy8nD48GEYDAbY7XaIxWKqwSUSCeRyOXXoSSQSKtwhISF0YSA+gaioKISGhtItgFgshlQqhUwmg0QigUwmg0wmo2a2t1+AfCbviEFZ5rdA8FIpwuxwOGA0GhEaGuqxx+Pj7UwiGpjcqMDtENTdBJyvqbzNUKIBiVPM+/1IhdT+/fvhdDrRrVs3NG7cmD6fvL7b7QbLsh7528DtWLpUKoXb7UZhYSHy8vJQXFyMoqIiFBYWoqioCEVFRXQbsG/fPpjNZsjlcjgcDo9SS752DgsLQ3R0NKKjo6HX61GjRg2EhYUhKioKERER0Gg0HtpfqVTSiIBGo4FarabCT86NtzXADwUSH4FAYOMXYSYCRYTObrfDbrcjOjraw6zkh5HIc4mG5f/d+8Yqy4Ps/Z3/s1wuv+M1yXe3200F02q14vPPP4fT6UTnzp3vCIsBt4swvI+L7Jc5joNMJkNcXBzi4uI83o8v+Ddv3kTPnj3x+OOP4+WXX6ZmPv/r4sWLOH78OFQqFQoKCnDz5k3Y7Xa43W6qdcm5JpqfaG2yp5dKpZBKpQgJCUFMTAyUSiUSExMREhKC6OhoREZGIiwsDDExMcjOzsa5c+fQs2dPREdH05wAYrkQTz9Z+MiCIwh/5VDhwlzWjWsymWgYqiztyn++N/e6Scp67H5uKvL+RPBI8cTBgwdx48YNpKSkoGnTpvc0SctzvGX9LTw8HDKZDBEREUhJSfEwiyUSCViWxaZNmzB+/HgcOHAAKpUKV69exfXr15Gbm4uioiJYrVbYbDYUFRXhxo0bNCpgMpnAsizcbjf1G/D9E263my6kxMpwuVyQyWRgWRYff/wxXn/9dXTr1g3R0dEeyTsAqPVxtww+Af/gF83sLawGgwFardZDq1U2xCQnNynDMPj000/hdDoxadIkqFQq2Gw2jxizLyGa02Qywe12Qy6XUwEjPgOxWIzS0lKo1WqEh4dDp9OhefPm1CogQm+z2SCTyajwAresjFOnTuHMmTM4ePAgzp07h5ycHDAMQ7cZRBgdDgfdTrjdbly/fh1jxoxB3bp1sW7dOjRp0oT6APhRB8FbXrn4bc/M98aaTCbodDooFAp/vf19wTfNMzMzcebMGcTFxeGZZ54BAKhUqgpL7uA4DklJSbh69SrMZjPCwsI8HmdZFgkJCVAqlbh+/Tq0Wi0VRH7Yi+M4uhAQgSRps+3bt0f79u0xYcIEql3NZjOysrJgNpuRk5ODvLw8bN++HQcPHoTT6aSfVSqV4sqVK3jmmWfQo0cPjBs3Dk2aNKGLgFQq9UnWncCDU+F2kXc8VCQSwWAw0PgseU4gregMw+DYsWPIyspCkyZNoNfr6T6wohoRiMVitGjRAn/88QcMBgPdkxJrQSwWIzo6GkqlEqdPn6YJLeR/+a8jk8k8QlXEieWd7CIWi6HRaNCwYUM0b94cPXv2RKNGjVBYWAiRSIRevXohKSkJNWrUwNKlS9G6dWs4nU589dVX6NKlCxYvXoycnBwAoB77QLCyqit+2eR4Z0qVlpbSPGxCIHTrIItKaWkpfv31V7hcLqSmplJzkr+39CVE4OrUqQOj0Yi8vDwAnk40juOQkJAAvV6PY8eOoaSkhGaZEfhamvzO99bzTWnyuFwupzH0y5cvY+bMmTh79iwGDRqE+fPno1GjRnA4HIiJicGWLVuwZs0aNGzYECUlJZg+fTq6dOmCpUuXwm63U2cmOZf8TLRAuL5VnQoXZu+QBwCYTCYaHuE/pzIhN6Lb7UZoaCheffVVzJs3Dx07dqTFFkDF7O/J509ISEBkZCT27t3r4ZAiz1GpVHjzzTexe/duOJ1Oj7gx34NM9tj8c0880GRBIouT0+mEVCpFfn4+ZsyYgdOnT+PFF1/E2LFjkZCQgKSkJLjdbmRmZkKn06F379747LPPMG3aNCQnJ+Pq1auYNm0a+vfvj++//x5msxkul4um2JYVGhSoIDg/wDAM53a76feXXnqJS01N5QwGA8eyLMeyLMcwjD8O5a6wLOtxrHa7nbNarfTYGIbhWJbl3G63z9+bYRjO5XJxpaWl3OjRo7kuXbpweXl5nN1u51wuF+dwODiWZTmXy8UVFxdzDz30EPfuu+9yNpuNc7lc9/357HY7x7IsZ7PZOLfbTa+J0WjkXnzxRU6lUnHPPfccl5WVxblcLs7pdHLr16/nVCoVN2bMGHqcNpuNs9vt3JkzZ7hRo0ZxYrGYUygUnFar5Z5//nnu6NGjnNPppO/jcrno+RWoOPyyXHqnKJpMJmi1WhqaCgQ47nZbXeBW/FihUMBut9PHuQra25MUU6VSie7duyMzMxP79u2jsVupVAqXywWxWAytVot+/fphw4YNOHfu3H0fj0h0q4KMJLIAt66Lw+HAnDlzsH37dnTq1Anz58+n8X+xWIzQ0FA4nU5kZ2dTTUu0bMOGDTF37lx8++23ePbZZ8FxHL7//nsMHDgQ06ZNw4ULF+BwOASt7Cf8tmcmjheGYWA2mz0cYEDl5wrz467EHCUmKdnzEbPW1/Azylq1aoWaNWvi+++/h8Ph8Mh8Iw6xMWPGQKPRYM2aNSgqKirXexGz1+12w+FwYNmyZVi7di1SUlIwb9481KlThzrMuL/j7hqNBkajETabzaNohCxAnTt3xooVK7Bs2TI0atQI+fn5WLx4MdLS0rBq1Srk5OQIe2Y/IJkxY8aMin4TcjNyfxc4bN68GUlJSejYsaPH8ypToL2zt8gNS7QY2ZNWxP6e7NVJCMlms+Hrr79GSkoKkpOT6aJCNKter0etWrWwevVqsCyLJk2a0H5kZOHkZ93xPdjkO8uy+PTTTzFnzhykpKTg3//+N+rVq0cLU8jCVlRUhN27d0MsFqNr164IDQ31OEfkS6VSoXHjxujSpQvUajUyMjLw119/4eDBgzh+/DikUinq1atHPzNJMuGnxJZVAipw//hNmIkQFBUVYevWrWjcuDGeeOKJMlMwKwO+oPKdRmU5k3wNv+xTLBYjMjISJ06cwIkTJ9ChQweoVCrqsCKmd61atcAwDD777DPUqFEDderUoU4uvmDwBVwkEtFqsh9//BFTpkxBREQEVq5ciYcfftjDG86PXe/btw95eXno0aMHYmJiPM4H/xxJJBKEhYWhRYsWeOKJJwAAmZmZOH/+PA4cOIALFy7QijJ++ic5PuKdF4T5wfCLMAO3b47c3Fx8++23aN26NVq2bOkRzqjOF5HvTdfr9QgJCcHKlStRs2ZNNGvWDC6XCwqFwkPTNmnSBFlZWfjoo48QERGBRx55xEOzAvDYHxNtfeDAAYwaNQpKpRJbtmxB7dq1aTUWX/A5joNGo8GhQ4dw8uRJdO3aFXXq1PEQvrJCdVKpFPHx8Xj66afRsGFDFBQU4OLFizhz5gx+/PFHFBcXIykpCXq9ngo1P89b2GM/GH4RZv5e8/r16/jxxx/xxBNPoGHDhgDKLoqoTvDjxcR8jYiIQEZGBnbu3InmzZsjPj6e7plJKEoqlaJp06bIz8/Hli1bwLIsateu7VHvTcxq8vOvv/6KMWPGgGVZmghCBN77OhBN/fPPP+PQoUPo2rUrGjVq5OEEK0vw+F1WkpOT0a5dO7AsixMnTsBqteLkyZP47bffaLENyXYj/gkhg+zB8GvSCACYzWZwHEdrmflf1RXu7xRI4mTjOA56vR7vvvsutFot3n77bdy8eZPWQfOdYtHR0Zg7dy66du2KxYsXY9GiRbhy5QoVKP73U6dOYfLkycjPz8e8efPQuXPnO/apZMHgXw+9Xg+WZZGfn+9R3eZd0eYNWXji4+OhUCiQkpKCV155BUlJSfjzzz8xdepUjB8/nsan76bpBe4Pv6Rz8vdvRJj1en211cTe8E1j/n40ISEBU6dOxbVr17B48WLY7Xaa5MF3QEmlUrzzzjuYMWMG9uzZg1GjRuHnn3+GyWSiFU3Hjx/HsGHDcOXKFYwfPx69evWCXC73yOUmYTB+VxaWZREfHw+pVEoz0wDc07NP/pfv+T5//jyaNm2K2bNnIz09Hf369UONGjWwd+9eDBs2DGPHjsWJEydgt9vpgsZf5Mv6XcATv+2ZAVBT6/Dhw0hNTUVUVJRHxU51FW6+84t/HliWRXR0NKKiorB27Vq43W40bdqU7p35C4BcLscjjzyCxo0b48KFC1i/fj1ycnIQGhqKnJwcTJgwAZcvX0ZaWhqmTp1KGyAolco7upeS9yZasrS0FFu3bkVCQgKee+45up++l7OKr+3/+9//4ssvv0T37t3x2GOPIS4uDp06dUK9evVgNBqRkZGBs2fPYvfu3SgsLERERAR0Op1HKiv/S8gquwv/IOHkvnG5XBzDMJzT6eQ++eQTrlmzZtyNGzdotpXb7RYyhLwg58TpdHIWi4VbtGgRFx4ezi1ZsoSzWq2c1WrlbDYbZ7FYaJYV+V5cXMytWLGCa9SoERcREcGFhIRwcrmce/7557mioiLO7XZzVquVXhdvyPty3K3stIsXL3Lh4eFchw4dPP7nbll7TqeTczgcHMMwnMPh4N577z2uZcuW3PXr1z0y2hiG4SwWC7dy5UpOp9NxjRo14mrWrMnFxsZyq1evpllwTqeT3j9Wq1W4X+6CX5Y2fsjBbDZDJBJ57JmBwCi0CDRI62C5XI7hw4djwYIFmD9/PhYsWODRZxy43aaIZVloNBqkpaVh48aNaNy4MQCgXbt2WLx4MdRqNWw2G+Ry+V0nWHI8rcqyLFQqFSQSCW7evEmz5PhRiLIgW4ebN29ix44daNu2LWrWrEktAPI6IpEI/fr1g06nw+jRo/Hdd9/hpZdewpIlSzBo0CBs27YNxcXFdBon2RoI98udVLgw87OJuL8rpkhPKgBC2dxdIIkfxJQMCQnBgAEDMGfOHKxatQpz5sxBXl6eR4kjxzN9WZbFkSNHcPLkSTRs2BAffPABEhMTAYA2WiCC4Q3397aHCCwJNVksFhQWFtLn3A2yVWAYBidPnsT58+dpTTjfGw8ACoUCu3fvhs1mQ/v27dG4cWPMnDkTmzdvhk6nw9SpUzF27FgcOXIETqezzA6uArfwi2YmAutwOGCxWBASEuKx7xIoG5K7ThJGVCoVhg4dihUrVuDzzz/HsGHDcO3aNY+YMrnRv/76a8yaNQshISGYN28e6tatS51nLMt6xKy94f7ejzudTgC3rh/5/9zcXA+tzZWxpyWLicFgwNq1a9GlSxe0adPGo6sJcXKxLIutW7eiXr16iIuLow0RGjZsiHXr1uGTTz5BXl4e+vTpg0mTJiEjI+OuDjL+8Xs/XtZnLOt5DMNQi+he/x+IVLgwkxsRuHXxjUYjwsPDaZyUrPxCSMITb6eUUqmkQtSzZ09s374dNpsNvXv3xtatW2EwGOhNvnPnTkyaNAksy2LevHl4/PHHwTAMbejHb/JXljCT9yWhJ6VSiVatWsFms+Hy5cseUzxJM0FS8kh+Z1kWn3/+OS5duoQBAwYgLCzMo5CFCDZpGti+fXs6kIC0UNLpdOjcuTO+/vprTJs2DQcPHkSPHj2wbNky3Lx5ky445IukhZLvZYXZCMSiIZNQyPNXr16Nzp074/Dhw7RGO2iomK24J8RhkZ+fz/Xp04cbPny4P962ykFKEMn5/PPPP7kXX3yRCwkJ4VJTU7krV65wu3bt4pKSkjixWMwtXLiQOpDK4zDivwcpk9y2bRunUCi4sWPH0tcjTilSXul2uzmn08nZ7Xbu7NmzXN26dbmRI0dyFouFlkGSsk673c7Z7Xbu3//+N6fT6bibN29Sx5g3LMtyZrOZKygo4KZPn87pdDquXr163A8//EAdgEajkZZn8h1l5Pjv9hn5zlmDwcA9+eSTnFQq5fbs2cM5nc4KKXmtKPxmZgO3VmOj0QidTuePt61y8GO/DocDderUwfLly7Fq1Srk5uaia9euGDt2LIqKijBp0iQMGTKEWjykD/f9QFIsAVBNS/LDMzMzPSq4RCIRHA4HRCIR1WRZWVkYO3YskpKSMHbsWNrGyLsUtqCgAMuWLcPLL7+MsLAwugXwhvvbCajRaDBhwgTs3LkT7dq1w4gRIzBw4EDs3r2bWi6kO4tSqfQ4b97wC2e4v30Eubm5uHLlCurWrUuLQoJpG+i3QB339z6ptLQUer3eX29b5SA3LPFiazQa9OnTBxs3bkTLli2RnZ2Nrl274rXXXoNWq/XY15bnxiRmKNkCkeb5VquVmstkkeY7s3JycjB16lTcuHED7777Lp0fRhxXxJMtFovxww8/4ObNm+jfvz8kEglKS0vLPEZiDstkMoSEhKB169Z4//33sWHDBhgMBrz66qsYPXo0/vzzT/pZydbubp+Zv7iQ1//ll1+Ql5eH1q1bIyIigjoBgwW/NfQjK7jJZKJldALlg+VNzvAWNpPJhIyMDDzxxBOYOXMmoqOjqZYCyp9gwfcYi0QiREREIDo6GmazGSaTycN7Tr6fOnUKI0aMwOXLl7F8+XI0a9aMvg4JVZHn3rhxA1988QXatm2LevXqQSS61RapLOEhI3gIHMdBpVLh8ccfx6ZNmzB37lycOHECffr0wYwZM2jqKzm2siwS/mJEWhivWbMGSqUSqamp9H/vtucORCq81S6/VtftdsNoNEKr1Vb021ZJ+FqEP0srLy8Pc+bMgc1mw8KFC5GcnEy1IPBgmVL8nt0AEB0djZo1ayIjI4OOFiKCkp2djW3btmHjxo3Q6XR4//338eijj3q8P7+5g91ux+bNm1FQUIAFCxZAo9EAuOW9LytNlCwGfC1LFrOoqCikpqaibdu2WL9+PX744QccOHAAgwcPRs+ePelwQr5A8j3q5OejR4/iwoULqF+/Pjp06EBN/mCazuG3PbNIJILT6YTJZBLM7AeEaDWbzUYbFhgMBsycORNnzpzB7Nmz0bJlS49+2Q9ah+39vzqdDuHh4SguLkZhYSEcDgfOnTuHOXPmIDU1FQsWLEDHjh2xadMmPP7445DL5R4dVPjCdOjQIaxevRqpqalUexOBu1tUw/v4+ZVdUqkUtWrVwvTp07Fu3TrUrVsXU6ZMwUsvvYRff/3VI0EFAPVgA7cXhb1798LpdKJ///4eORDBhF/G05ATabVawbJshU2FqOqIRCIUFxcjNDSUDpxfs2YN9u7di7feegvt27f32F/6UqMQp5LBYMDo0aOhUChQWFiI6OhotGrVCu+99x5atmwJtVpNHWQkRs5/jevXr2P58uWoU6cOhg0b5pGcQqw3vkl9r3NB3oc/4P6RRx7BwoUL0b17d2zYsAHjxo1D+/bt0bdvX7Ro0cJD05Jjy8zMxMGDBxETE4NOnTrdkXwTLPjFzCarstFohFqt9vA0Ctw/ItGtCZBk77x582Zs3LgRQ4cOxQsvvOChCSvCNCS1zImJibRXWfPmzZGcnHyH9uULMjGdS0tL8f777+Pq1av4+OOPER8f75GAUl6TlpjffGeXSHRrhvezzz6LRx99FNu3b8eaNWtw4MABPPfccxg8eDAiIiKgUCiooJ4+fRrnz59HgwYNkJSU5FELHiwmNuDHWVMAUFRUBK1WG3BjaYIJoskOHz6MhQsXonPnzhg8eDAdV0P2gvej3cqDSCTCE088AbFYjEcffRSjRo2iISy+9vXuHEM0tNlsxieffIL9+/dj0qRJaNu2Lf1f/nGXx7QlDioyc5vvjHO73QgPD8fgwYPRpUsXrF+/Ht9++y127dqFoUOHonv37oiKikJpaSm+/PJLsCyLAQMGQKfTeXjfBWHmQVZr7u9aZrVaTfckAneHOA3JDc/3HJ85cwYTJkxAq1atMHHiRFpKSoSrIkxDkUhEe3f98ccfHtl7fJOaeLnJZwAAi8WCzz77DJ9++imGDh2KAQMGALht5vJH/5RHmMl78r+TL7LoyWQyxMfH480330Tnzp3x6aefYuXKldixYweGDRsGtVqNffv2ITo6GgMGDKCLCn9BChb8opnJ6msymaBUKu+YjyxwJ2KxGDabDQqFgjprSCz2jTfegFQqxeTJk/HQQw953HD8IgZfwv3duCA8PBxXrly54+98beZyuWhYzGAw4KOPPkJ6ejoGDBiAtLQ0iEQij3lY/M9cHvj/77039/4uk8nQvHlztG7dGj/99BM+/PBDpKWlIS4uDkVFRXjmmWdowwz+XjyYTG2/7JmJ6UVGuQp75v8NyaUGbmdkFRYWYuTIkTAajVi9ejUeeughv/XM4rhbPbIbNGiAjIwMDxOUPyaHaDYAuHLlChYuXIjDhw9j1KhRGDRoEPR6vUeTgf/VesgXkHNEWjN17NgRjRs3xpYtW7Bo0SLaQzwzMxMJCQl0KB9ZlILFq+2XEkgizMXFxdDr9cKe+T4gWoF4p00mE1asWIGTJ0/i7bffRvPmzaFWq/2W0CASiaDRaNCiRQvY7XaYTCYPrUjSO10uF8xmM3bt2oXRo0fj6NGjePvttzFixAi6HSBC5Q9BJscO3E4UIe2MmzZtCrfbjbCwMJw6dQppaWn48ssvUVRURO9ZUkEVDPhtcBwAOspV0Mz3B9FwLMti48aNWLduHWbOnIlnn332gfaY/xSime12O/788096bETzWSwWnDhxAuPGjcP48eMRHR2NtWvX4vnnn4dKpboj3FNRE0LKwntiJgD8/vvvsFqt6N+/Pz777DPao2zIkCH46aef6DZHMLP/hp9SZzKZ6Ixhgdt4O6zIOZPJZHA6ndi9ezcWL16M4cOHY8CAAdT55M/9HLmGOp2OCvMjjzwClmVRUFCA33//HXv27MGvv/6KmjVrYtq0aejRowfdh/KP199ZVWRLwM95MBqN+OmnnxASEoK+ffuiSZMmmDVrFrp06YLly5djxIgR6NatG4YPH46UlBQolco7Fk9+OK6iwoHlwS/ebIZh6L4kJCREcICVAan7Jg4l4JY2OX36NIYMGYLevXvjjTfe8Nii+Dr8dC+IY4jUQ+/cuRO5ubnYu3cvjh49CpFIhDp16mDevHno1q0b9Ho9zVIjhRXeKaL+gnjVyfE7HA4cOXIE165dQ+PGjdGkSROwLE8kcZYAACAASURBVEvrpzt06ICdO3firbfewldffYUJEyZg0KBBiI+P97BEyHfioKzs+9pvcWZSbSPkZd8JiccCoJ5hhmFw7do1TJo0Cc2bN8fs2bNpDnNlHmdsbCxUKhV+/PFHZGVloVGjRnjuuefQqlUrNGrUiPb15ofW+C13KwN+Mg3DMLDb7dizZw9KS0vRrl07mpFI5nDLZDI8/fTT2Lt3LzZv3owVK1bg22+/xaBBg9CnTx/aaIG0MSahQ39ve+7gQYqgywvDMNxff/3FtWvXjluyZMl9zxSuLpCmA6RzpdPp5G7cuMF17NiRa9myJZeZmck5HI5KPW/s33OdCwsLudatW3NDhw7ljEYj53A4OLvdznEcR7toki/SkOBuXUD9BWlQ4HA4OIfDwZ0+fZqrW7cuV7t2be7QoUO0CQGZKW0ymWhjBofDwWVnZ3MDBw7koqKiuCeffJLbt28fV1paylmtVtr8IRCaGPhlGRGJbs1kJhMMBTzhm4EikQj5+fmYNWsWrl69iiVLliAsLCwg9mTArfrpyMhI5OXlQSaTUU1ENBTgWfbqTyfX3eAnp0ilUhw/fhzXrl1Dy5Yt0bRpU3puJRIJFAoF1Gq1R/PAsLAwrF69Gjt27EBkZCR69eqFtLQ0XL58mW4duADoF+a3emar1QqXy4WQkJCgidtVFOTCk3PDH55msVjwySef4ODBg5gzZw5atmxJ63wrU5j5WVV16tSByWTyGEPrnfpIHuM396/MYyd7XeBWRlqjRo3QsWNHD+cYANp+mAg+GdhHhgysWbMGK1asQEFBAfr164dZs2bhypUr9D3IdeR4mXjktSta4P02a8pkMsHlclV7zex9YflfpFPlpk2bMHDgQDz//PMeQlDZiyBxfsXHx9NYLPFM84WWdEIJBEEGboeliKZNS0vDtm3b0K9fPwCg8WTgdkdUEjEg7ZJIFllYWBgGDBiAr7/+GiNGjMCaNWvQrVs3fPzxx3A4HLBarbS5oNPppJYJue7EGVwR+O0sm81m6jEMBHOxsuDnDhONQFbw//znP3jvvffQu3dvvPLKKx51yfyc58pEJBKhfv36KCgooK14gwXieVYqlUhISKDthrl71FGXhUgkglKpxLBhw7Br1y707t0bq1atQq9evbB161bqwefnyhMh9i4L9SV+M7PNZjNcLle192YTEwy4Ldgcx+HEiRNYtmwZWrVqhfHjx1MPq1gsht1uD4hhAeRGrFmzJsxmM4qLiyv1eMoLSekkwktMaWJh2O32+3od7m8PvVqtRr169fDuu+/iww8/RI0aNTBz5kwMGjQIp06doj3ASTUYqeaqKPyqmckg8cq+KSsbog3Iav3HH3/grbfeQkxMDKZOnYqYmBgPh5dMJgPHcdQUrCzIvl2n0yE0NBSXLl2q1OO5X/jNCzheog25D0k66v3GickC7HA4IJFIoNVq8eSTT+LDDz/E/PnzUVxcjBdffBGTJ0+m54iY+BWZG+CXdE6O42CxWCCVSqt9lxG+x5dhGGRnZ2PhwoVwu92YMGECateuTR/nN5zjN/OrLIi5qFKpEBsbS7thAnc69QKJsjK3gNu9wMieuDymNpnzxa+sCg8PR+/evbFy5UqMHj0av//+O4YOHYqPPvoImZmZ1EFW1iQQX5St+kWYAcBkMkGr1QaEQ6QycTgcsNlstChh7ty5OHfuHGbNmoXmzZvfMWqG7Jv5YaDKgJimLMtCrVYjPj4ely5dotqOTJEIRIEmJi5/rjX5Thxd5W1EQOZYe0//kEgkeOihh/D666/Tfmgff/wxBg0ahP/85z+w2WwAQDMiXS6Xh6PsH33Of/wK9wHDMLBarVSYqzOkvM5gMGDJkiU4dOgQxo0bhzZt2nho3kBzEpLjIV7dhx56COfPn79jTxhs3Tl8CV/Tu1wu1K1bF++++y5Wr16NpKQkzJw5E6NHj8bevXthNps9hg345P199kr3wO12o7S0FKGhoQHjla0sSGfI7du3Y/Xq1RgyZAheeOEFGuIhHs9AhO84SkxMxKVLl6hHm1/IUF2vL/ncZMEjMfinnnoKy5cvxxtvvIEbN27gjTfewHvvvYfz5897dAn9p/gtzmw0GmkmU3VGKpVi3759WLp0KXr16oVBgwbRgW7k8UAVBiKoMpkMsbGxcDgcKCgo8Gj7EwgZX5UJsVTIokycl0qlEv3798eGDRuQlpaG3377DYMHD8aqVavoyJ9/il+EmWVZWK1WaDQaj2ybqo63luI4DqdPn8Zbb72F5s2bY8qUKYiIiPCoJqrIOKSvEIvF0Ov1kEqluHnzJgDc4dypjpB7m+zHiclN9tcikQjx8fEYNWoUVqxYgS5dumDDhg0YP348vvrqKxQVFf0jy8YvcWaO42iXEdKRoqrDDz2Rz5yVlYU333wTer0eM2fOREREBI1ZklGmfCdNoMGPj4eFhUEikSA3NxfAbSdTME2A8DXEGUacbTKZjP5OTG/iLGvYsCHmzZuHlStXQi6X44033sArr7yCo0ePorS0FC6Xi1Zx3W9s2i9tgxiGgdlsRnh4uMekg6oMEWZifhYWFmLixIkoKSnBkiVLULNmTY/SvGCA38ooIiICAJCbm0sX7EDeIgQSRLjdbjdatWqFVatWYfHixbBarRgyZAhmzJiBCxcuwOl0lits5ZfQFMuyMJvNCA0NrTbeTr5n12q1YtGiRThy5AjmzZuHZs2aVfbhlRvv7QKZkpiTk+PRxK86XNt/Cqn3JmHa0NBQvPDCC7QV8Z49e/DCCy9g/fr1yM7Ovm8/RIULs1gspqmcarW6Wl1s4p1evnw51qxZg9mzZ+Ppp58GcNssDZbzwW/7Q3KTa9Sogby8PPr3Si/ODyLIVoqY0CSTbOLEifj222+RmpqKxYsXo0+fPjhy5Mh9vaZf9sxFRUU0l7W6wHEcbDYbvvvuO6xatQpjxoxB3759PfaU/NTCYIBf3ieVSlGvXj3k5ubSNM/qHJYqL+Q8khRSck7FYjESEhIwffp0zJw5E6dPn8bJkyfv6zX9sowaDAaEhIRAo9FUSW8ncVSQEji73Q63242zZ88iLS0NvXr1wrRp06i/gDi5yPdgEGjimSX7N5FIhObNm1Nh5sfHg+HzVCYkFZQIL3GM8T3gDMPghx9+QLNmzZCamnp/r1vBxw2O42AwGCCXy6FQKILm5i0v3s0D/vjjD7z++ut47LHHMHny5AqvmPEX/Lzm2rVrIy8vjzbuq4rX1Z8QhynDMDhx4gQOHTpEGwneD37RzEVFRVCr1VXWzCb7SOKlvHnzJt5++23IZDKsX7+ehqCqwn6S/xkaN26MvLw8OBwOAIJG/qcQi7WoqAgrVqzAww8/jCFDhtx3tVyFd+cUi8VUmEkxeFW76PxEGIPBgClTpqCgoADLly9HREREldhakM/In6eckJAAsViM7OxsaLVaWogRTI69QIGcW47j8P3332P//v1Yt24dFArFfSsBv5jZJSUlUCqVdKpBsN/YZSGRSGA2m7F48WIcOXIEU6ZMQdOmTT3KGKsKJOymVCoRHR2NkydPegi7QPkh0YCsrCx8/vnn6NSpEx599FGP+dP/C7/EmfPz86FQKKhmDmb4GWz8gL7D4cCmTZuwZcsWjBs3Ds8++yxNtieZXeT3YMXbwSWRSBAXF4f//ve/1b7Iory4XC6wLEsLVUgzx2+++QYZGRmYNm0a9THd70wuv0y0KC0tRUhISJUYS8PvMsEfZfrNN9/ggw8+wIsvvkjHllbWBIeKwvtzSCQSREdH0yYFgdDaKJgg9whxfF25cgXr1q3DSy+9hJiYGI/a9vuhwjWz2+2mRRZKpTLoLzbRxqT2mGVZ/Pbbb/jggw/w2GOPYcyYMeXuWhGsiMVixMfH488//6z21VLlgRRjEFlgWZYOpFcqlXjhhRceyIqrcGEmcVe1Wk1X7mDWVPx0VJZlcfbsWbz33nuIj4/H9OnTERMTQzV2VUcsFiM6OhpmsxkmkynoF2p/we/IQpyFv/76K3788UcMHz4cderUgcPhKLf/ocKFmTTy02q1dzRSC0ZIcgTLsrh8+TKWLFkCqVSKSZMmITExkSaQVAdhBoC4uDi43W7k5+cDCO5r6y/4yozjOOTn52Pz5s1ITk7G888/D+BW/+7ynku/aGan0wmtVktXomC54CR9kQgn2Re63W5YLBYsW7YMZ8+exaRJk9CmTRsAt7tMVBevblRUFACgpKSETrEUuDf8ajm32419+/bh3LlzSEtLQ40aNTyaJJaHCneA2e122O12WjEFBI9DiLS3lUql1ElBqqDmz5+PI0eOYPLkyXjsscfuEN7qIswJCQlgGAZGo7GyDyVo4N9XV69exdq1a/HEE0+gXbt2/6iq0C+a2eFw0EkWwbRyk/GeVquVNqN3OBz44osvsGXLFjpC5n69jVWRhIQEuN1uFBYWVvv+buXF7XZj+/btyMjIwKBBg+hM6wfNTfCLMJPyx2BLKiDZTGq1GizLQi6X48cff8SyZcvQv39/DBkypNrUZ5eFSCSCXq+HWq1Gfn4+9SdU1/Nxv5AJGqdPn8a2bdvQp08fPPLII7QIh19sUR78umcGAmP05f3CDz9xHIfjx49jzpw5aN26NcaOHQu9Xl/t+4CLxWLUq1cP169fpxMUg+X6VhYSiQQGgwHp6ekIDQ3FK6+8AplMRn0z/Brn8uDTu9C7Sz/HcXeY2YGap0zix+SLNHYnfZ2uXbuGsWPHIiYmBrNnz0ZsbCyNBVZnTSQWi1G/fn1kZGTA4XBUGy9+eSCOVP7I17Nnz+I///kPUlNTkZCQQEsiyQTNB4mI+FSYvXsnkxQ1hmEQEhJCO1EE4s1PJkyQE+50OqmpY7FYMGXKFDidTsydOxe1atUCAFqLGoifxx+Q6ERKSgqys7OpU6e6no+yIJqWr3ULCgqwZs0atGjRAl26dLkj5gyACnZ58Ll9yDc7Oe7WXGadTudx0weqWUqqfsjJdblcsFqtmDhxIk6dOoWVK1eiadOmAILHI1/RsCyL5s2bIzs7m5ZCBqLlVVnwmzmQe2bHjh04ffo0Ro0ahYSEBNqk4J/iU6ni904Gbn0Ag8GA8PBwurEP1D2z94wn0tbl448/xnfffYfp06ejTZs2d5jVgfp5/EndunVhs9lgMBiq/bnwhjiznE4nWJZFfn4+1q9fj7Zt2+LJJ5/0uNf+KRW2ZyYYDAaEhYXR8E2g3vz8Y7fb7ZDJZPjqq68wZ84cvPnmm+jXr19AHndlQ7z9oaGh+Ouvv4I+XdfXkHCdQqGA2+3Gpk2bYDAYMHToUDrtwlcy4VNh9jYVOO7WKNeQkJCA9/ry+z5LpVIcPXoU77zzDvr27YvXXnuN1vB6t5yt7pDKn8jISPz111+CA8wL0syBYRhcunQJa9asQZ8+ffDoo4/eMdr1n+LTbAfSvwgAjZkZDAbExsZCLpff0Scr0CBx0pMnT+K1117DY489hrlz51IB9+5zFcifxd/odDrcuHEDQPB1Ha1I+P3E16xZA6VSiQEDBkAmk1Fnoa+SjnyuKr01l9FopPFYIHAFgOyFr127hlmzZkEmk2HOnDmIioqiJ53kaQt4olKpEBkZiYyMjICeYlkZkIjHwYMHsWPHDowdOxY1a9YE4HtZ8Lkwe89JKikpQWRkpEfIIlAvdkFBAaZMmYL8/HysXbsWycnJdPYwfwKBwG047tZUyNDQUBQWFlKPtsAt3G43DAYDZs2ahcaNG+O5557zmMPtS3x+ZxINRzS0yWSikw4DOcGiqKiIVkG9/fbbSElJ8fgs/DlLAp6Qxu1Op1Ooa/ZCKpXihx9+wJ9//okhQ4agRo0aFfZePvdmA7dLu9xuN2w2G3Q6XcAmiwC3+jGlp6fjiy++wOTJk9G9e3ePTpMkvY6kKwrchmw7EhMTYbPZUFpaKpwjHgaDAYsXL0a3bt3w1FNPVeg9VCHlPsRhlJWVBZFI5NGVMxBasZI+xE6nEwzD4Pvvv8eGDRvw0ksvoXfv3lQLk60BWaSERu+ekOvIsiwSExPhcrlQWlpa2YdVaZCFjWEYSKVSuFwufPTRR7DZbBgzZgytT6ioe6hCHGDEm2kwGCCTyaBQKGjOM1C5e2ZybGQvvH//frz33nt46qmnMHLkSNqnjG9O85vcC9yGJESIxWI89NBDcLlcMBgM1XYrwt+SMQyDmzdv4osvvsDzzz+POnXq0HNVUduQCsvNBkBb7KpUqoDpH83XtH/99RfmzZuH5ORkTJw4EeHh4TQjR+g0WT5iYmIgEomQl5dXbYWZWHwkz/+jjz6CWq1GWloatU4rkgqRLCIEeXl5kMvlUKlUAOBhalc2V69exZQpU6BQKDBt2jTEx8d7JLlXhblQ/oJkOMXGxuL69eu0F3R1QywWU4Hev38/Nm7ciFGjRqFWrVrUBLdarRX2/j7fM/M1s8FggEKh8DBdK3vfyXEciouLsXz5cly6dAmrVq1C48aNAeCOqh/BrL5/iKl9+fJlOByOKjtX7F4Qa660tBSffPIJateujR49egC4rchI8lRFWKg+FWZykCRxvKSkhGpmsuckrXj8BT+JgfTwXrZsGfbv34+5c+eiTZs21NNOSs6I80vg3ohEIrhcLlpYn5ycjF9//RU2mw16vZ46OwM9YehBID4g0laZKDCxWIxDhw7h8OHD2Lx5M926ER6k6+b94vM9M7l4LMuiqKiIjnLlP+5PiMfa5XLB5XLhs88+w3fffYeXXnoJXbt29Vh8+Mcv8L/xTtusXbs2MjIyqJldlZ2G/M/Ov2cyMzMxdepUdOjQAU8++aTHfVXR95fPhZk4j1iWRV5eHmQyGVQqlUd4x18QDUu08/bt2zF//nz07t0bgwYNop5HcuwC5Yc/2KBWrVooKiqCyWQCcPucVkVHIl9pkTRfhmGwY8cOFBQU4NVXX4Xdbvfr/e7zJYI4jsRiMUwmE1QqFZRKpUfVkb8uLkliJ1VQixYtQseOHfHyyy8jLCwMCoWCXgRBmMuPt7bRarVQq9XIycmh8eeqDDG1ScjpwoUL+Pe//43+/fujdevWft1OAhXQnIBkTjkcDlitVmi12jtGuvh7pb5y5QrGjRuHmJgYLFiwALGxsRCJRHA6nVQ7V/Ubr6LgX0udToewsDBkZWV5lPZV5YWSfDaz2Yz169eDZVm88847tP+dP+91n5dAku8OhwMulws6nc7Dg11RaZ0cd2syIxkby2/78+abb4LjOMybN49OYBCJRNBoNABQYd7F6gTDMNDpdNBqtVQzE4KtxfL9QEJQxAF26tQp7NixA6NHj4ZOpwPLstBqtX69t3zusiUmh9PphNPppF05+Y9XFFKplDq8lEolGIbByJEjceHCBaSnp6NRo0bUA+l9zALlh691xGIxNBoN7aHND0NWNQ1NmlUSiouLsWrVKjz00ENITU2FzWaDRqOB2+2GXC7323FViDBzHAebzUZDFP7C4XBAJpNBqVTC4XDg/fffx+7du5Geno42bdrQOHJVurECCY1Gg9DQUOTl5cHlctE03qp2rokvhiiGn3/+Gb/++iuWL19OB+kBtxtE+ktZVFgGmNvtht1uh06nq4i3uAOGYWgMz+VyYdOmTXj//fcxa9YsdOrUCTabDTKZTNgbVwBEQ0ulUiQkJMBkMsFsNtPHquLiSer2s7KysHHjRjorymKx+LRJX3mosCXD6XT6VTMTk04sFuPw4cOYNm0ahgwZgiFDhkChUECj0dB9TlW7sSobfllf/fr1YTabUVJSQoW4qoam7HY7vvjiC2RnZ+Ptt9+GWq2GWq2mjSz87YvxuTcbuN3Iz26307IvftWUr96LH+YiJ+7EiRNIS0tDp06dMHv2bI8Ed4VCUWVvrsqEn3Nfq1YtmM1mGI3GKnOeyaha0sie36Dv008/Re/evZGSkkK7bZJ9MjHF/YVP98wk0Zw4wMgoV76QE/Pjn6RLkpPrrWEvX76MadOmISIiAtOnT4dWqxXSMisQcv5JOqdIJEJycjLsdjvMZnOVWTjJQsWvxbfZbNiyZQu0Wi369OkDwDMhyp/JIoQKaRtExp/a7Xao1Wp6oUlY6p+aufwuIISCggK8++67yMvLw8qVK1GrVi3BS+0HyI1OFtfk5GS4XC4UFxfT6x7sAk1MZlKnDAAHDhzADz/8gIEDByIlJSUgchV8XmhBTIvS0lKoVCqo1Wp6Mvh5qv8UsjA4nU6UlJRgyZIluHTpEmbOnImGDRsKguwH+G2iyDXW6XTQ6/XIzMyE2+1+oJlJgQTZyvHr8UtKSrBhwwYkJiaiV69eAVP77vMm+MQEPnPmDORyOQ4dOoRjx47R+b2+WL34jgW3243169fjq6++wrhx49CjRw9wHEezuwQqFr61Rb4SEhJw8eJFD4djsF4LfmskMgBu586dOH78OF588UVER0cD8JyxVllUSD0zAPz2228oLS3Fhx9+CAB0RnOjRo3QqlUrNGrUCA8//DB0Ol2Z+1++J5S/8vGbGzgcDmzduhVbt27FqFGj0Lt3b2odVMWso0DDuxMrOd+xsbG0eoq/xQpmyP2YmZmJdevWoX379nj66ac99tGVXSXmU2HmC2BJSQmSk5Px5ptvQqlUIicnBzdu3MB///tf7N27FyEhIWjevDk6deqEdu3a0Rak/AmSfAEmwsl3pu3duxdLly7Fk08+iZEjR/otpi3gifdNHBcXhwMHDsDlcgWtRiaQnAlyX3/99dfIyMjA1KlTUaNGDSrMpIlfZeLzdyf7I7PZjHr16uHJJ59EREQE1ahWqxV5eXn46aefsHPnTkydOhW1a9fGyJEj0b59e5pbTU4M39nF19LHjh3D4sWLUbduXUycOBEhISG+/igCD0hMTAzy8/NhNpsRGRlJr10wxvf5x/znn3/iyy+/RP/+/dGyZUt6P/IbW1QmFVJoQQasx8fH0zIwonG1Wi20Wi2Sk5PRt29f7Nu3D1u2bMG7776LRx99FCNHjkTdunXp//BvAuJQ+euvv/Dee+9BJBJh9uzZiI2N9eXHEPiHREREgGEYFBcXIzExMSiFmEAE1mq1YuXKldBoNOjfvz/NXyDZXoGQJuzzpBGGYWCxWOByuZCQkOChWUkKnEh0q7G8Xq9H79698emnn+L111/H/v37MXjwYPzyyy/U4cCvxJLJZMjOzsbs2bNx9epVzJ49G0lJSfRECgQGERER0Ol0tHqqsveS/wQisCdOnMD333+PPn36oH79+vRe5je4qGwqxCthNBrhdrvp9EfSVJ4vcGQKHsuykMvlGDBgAL788ks0a9YMr732GtLT02G32z0a55tMJnzyySc4ceIEpk+fjlatWtHXCNabpSoSFhaGkJAQKsyVrbHuF/79yc8wtFgsWL58OVJSUvDss896lPSSezsQBgr6vG0QAOTm5oJhGOj1ekilUuq2J1qZjHuVSCSQy+WQSqWQyWSoXbs2li9fjn79+mH69OlIT0+ns4tI8fe2bdswYcIEdOrUiabN+bPMTOB/Ex4eDo1Gg7y8PADBFZoiFqHD4aCW5rZt23Du3DmMGzcO8fHxdHEiQk3u38pesHy+Zya9v5xOJxXU+8XtdkMmk2HGjBmIiYnBkiVLoFKpMHDgQOzevRsLFizA6NGj8a9//QsqlUrQyAFKaGgowsLCaG4BuQeC4VqRe1ipVMLtdsNoNCI9PR1t27ZFu3btAsakLosKcYDl5ubSxujlQaVS0WT20aNHw2q1YubMmbh69Sq++eYbdO/eHS+//DJ9Hr/4XSBwUKlUiIiIgNFohNVqvaNBRSDDd2YxDIPNmzcjNzcXCxYs8DCvA/Hz+HzPLBaLUVRURE3o8mR8ORwOD9P76aefhlKpxOLFi9GoUSMsXLiQhjrIah8Ig+gE7qRmzZowGAwoLi4GEJg3vzcikcgja+3y5ctYsGABBg4ciKZNm9JmC4GaAFMhhRYWiwVSqZR25bxf5HI5DcAXFBRg8uTJyM7ORtu2bTFr1izodDowDENTRvlJKsI4mcAiKSkJJSUlMBgMQWM9EWuSaOUNGzZALpejf//+tDKMZdmAHb/j86QRhmE8xtLcDXJx3W439QiSi242m/HKK6/gwIEDiI+Px9y5c5GSkkI91/wJCeR/Kjv7RsCT+vXrw2AweNQ1B4N2Bm5Ze9euXcPmzZuxaNEiJCUlBfRemVAhudlutxtqtRparbbMC8jPr+bHoUmv7TVr1mDv3r2Ii4vD0qVL0aZNmzv+n2/qBMtNUp2IioqC2+2GwWAAEDzXiLTIHT58OBo0aIBu3br5vf/1g+JzYRaJRLBarVAqlXT6490grn+5XE5N56+++grz5s0DAIwfPx5dunSBTCbz8IoKBD5kyEB+fj6A4BLmPXv24NSpU9iwYQPUanXQxMl9ngFGVjaZTEbbqHjDz7Mm7XEB4Pjx45g6dSpsNhsmTpyIoUOH0n03EWghHBUcqFQqREZGIicnJ6j8GQaDAQsXLkTnzp3xzDPPVPrU0vJQIXtmi8UCpVJJm8x7w3dekZLF48ePY8yYMSgpKUHfvn0xZswYaDQa2q6F7Ku987UFAhOpVIqoqChkZmbStruBDsMwWLNmDe2DHSyOO4LPM8BcLhcMBgPkcvn/HF9JhDonJwfvv/8+/vjjD3To0AEzZsxAaGgofU2yOspksgqbiCHgO4j/Izo6GtnZ2QEpEKTRgMvlAsuysNvtuH79Oj777DM899xzSE5OpvdbsFAhUyCtVqvHTGZviOtfJBLBYDBgyZIl+PHHH9GgQQPMmDEDtWrVuqMlDXktQZiDA4lEgtjYWBQUFMBms1X24dyBRCKh5j8Jd27YsAESiQQjR46kw+KrrTADt1Y8i8WC0NDQuwoz0bYWiwUbN27Ep59+isTERCxcuBDNmjWD0+n0yOUWCD5EIhGioqJgt9upRzuQICFOco8eO3YM6enpGDlyYTsFTwAADudJREFUJBISEmgX2UAooLhffCrM5MNbrVZERkbe87kMw2DXrl1YuHAh1Go1Jk6ciA4dOgAA7ejpXWklEByQaxYeHg65XI68vLyAvI4kmlJaWor09HTExcWhZ8+edzQiDMRjLwufa2aWZeFyuRAeHn7X5zAMg8OHD2POnDmQSCQYMWIE+vXrRx8niSQCwYtIJEJMTAxUKhUyMzMDzsLij5DZs2cPjhw5ggkTJqBGjRqQSqV0Px1M1qHPvdmkiVt0dDT1BnpPnbhw4QJmzJiBv/76C2lpaRg/fjzNFiPzoAKlfanAg8GyLCIjIyGXy5GTk1PZh3PHvUQiJLm5uVi2bBlatGiB1NRUALf9NMF2D/rczC4qKgLLsoiJifFoSkBWwfz8fCxatAjHjh1Djx498Pbbb9N6ZOK15s+NCpZVUeA25NqFhYVBqVSioKCgUmPNZW3ZiIn9zTff4MaNGxgyZAjsdjs1r8l9GEyJSj73ZmdmZtILSf5G2v8YjUZ88MEH+O6779CmTRvMmDEDUVFRHl03BYIfkgeg1WrpiNfK9GjzWxfxO9dcunQJW7ZsQe/evfHYY4/dNS8iWPC5MF+/fh0cxyEsLIxmhInFYpjNZmzbtg1Lly5FUlIS5s+fj7p169IVW9DAVQciNHK5HHFxcSgoKKAjXisDfvtm8jsJRTkcDrz11ltQKBS0/DFY8bkD7Nq1awAAnU5Hta3b7aadQmrWrIkZM2agZcuWtH7ZV5MuBAIHYsYmJCSgsLCw0sNTxNQmjq+jR49i165d6NOnD7Uig6Wg4m74vAl+bm4u7ftFVuiLFy9i/vz5cDgcmDx5Mrp16waO42ghhmBmVy34gwqio6NRXFwMk8nk0f/cnx07+DFlACguLkZ6ejoSEhIwdOhQyGQyWr0XzFEUn2vmnJwcmjDidDqRkZGB8ePH48KFCxg3bhwGDhxIW7Pws7qCydEg8L8hTqSEhAQqzATijPKnp9jpdNKw6W+//YadO3ciLS2NTlIhGYnBjM81c3FxMa1jdrlcmDNnDo4ePYpXX30Vw4YNC7p8V4HyQwpoxGIxIiIiIBaLaafOyiiSIX4Zh8MBk8mEVatW4YknnkCHDh2CLvx0L3zuADMajYiKioJcLsc777yDL774Ao899hgmT55MV8GqcvIE/jchISGIiIhAZmamR7WcP/u2kb2wRCJBeno6srOzMWrUKI+BDMFU6ng3fKqZLRYLLBYLoqKi8Pnnn+Prr79G8+bN8eGHH0Kn09GMGkEzV32IH0SpVCIxMZE2xAdA8539tT8lodHz589j8+bN6NmzJ1q3bk27cJL+XoEyM+pB8alUkeqT4uJiLFiwAGKxGAsWLEC9evXoZAv+yBmBqgk/SUgulyMqKoqa2YSKvAe8LT/SAOOLL76ARCJBv3796EQV0uYqmIWY4FNhLioqglqtxu+//w6ZTIZPPvkEbdu2pR3/pVIpVCqVoJmrOHxvtkajQVxcHLKzsz3yDipqr0qSQkgnTY7jYLfbcezYMezevRsvv/wyHn74Yeq7kUqlUCgUQa+VAR8Ls8FgAMuyUKlUePPNN/F///d/QX+CBMoPPx1SJpMhKioKVqsVhYWFHhq5orQzMfGJMLvdbqxevRqxsbHo2bMn7TlX1fCpMOfn58Nut+ONN97A4MGDodVqg6oeVMA38GPJIpEIkZGRtKMMcHvP7GthJuY9iReTYe+//PILjh07huHDhyMqKqrK9pHzuTd74MCBePnll4VhbtUYYkoT7RgbGwuZTIasrCyP/ugVAUnVBG4NVbhx4waWLl2Kdu3a4f/+7/88GhJUNXzqzW7dujVatWqFkJAQSKVSOByOoGjkJuBbiKASwY2KioJUKsXNmzcBeGb8+dp/wm8UKZFIsG3bNmRmZuKdd97x6H4jCPP/gOS4khNa3vE0AlUDIqxEaCIiIiCVSpGRkQEAFbr1cjqdtCY+IyMDmzZtQmpqKpo1a0bvS5fLFRAjWH1NhbiVA3lSnkDFw9fMwK32QWq1mo76FYvFkEgkPtfKJDWYYRg4nU4sWrQIarUa//rXv+gkSvKcqkjV/FQClQq/wQRwa+/q3amzInKz+R1dz507h2+//RZ9+/ZFgwYN6DyyYC+muBeCMAv4HOJR5lcqJSQkID8/HxaLpcI7yNjtdqxcuRIpKSl4/vnnAYAKMtmrV8UqPUGYBXwOPzRFNHB0dDQMBgNsNhv9my8Eqqxsrx07duCXX37BhAkTEBsb67FwkP18VdTOQt2hgM/hCwrZn8bGxqKoqAhWqxUAaDtbfukhX/j59fDkMT5kMXC5XB7lsxaLBatWrUKTJk3Qrl07j3g3P+usKvpzBGEW8AuxsbFwOBwoKiqi+fl8weLnc3s3q7hbKImvYUk4atu2bbh8+TK2b98OhUJxhwauikJMEMxsAb+gUChQo0YN5OTkUE+2RCKhjjJ++ifRyuT73cxxkuNNsr2ysrIwbtw4DBgwAA0aNKh2DS+q16cVqDTCwsKQlJSEq1ev0gwtl8tFhZgIrPcUiXslePDTNsViMVauXAmNRoMhQ4ZAoVDQeHZVDUV5IwizgF9wuVwwmUzYsmULDhw4gIsXL9Lc6ZCQECQmJqJ58+Zo0aIFGjRogMTERKhUKuoVLwu+qX7u3Dls3boVr732Gh5++GHamqo6ldyKOKHth4AfOH78ODp37gy1Wo0RI0agdu3a0Gg04DgOJSUluHbtGvbv34/z588DABo0aIBXX30V3bt3p40f+XO6+ea3zWZDnz59YLfbsWvXLo+6AL4DrKojaGYBv6DRaBAZGQm9Xo/BgwcjLi6Oak8Sl2ZZFvn5+Th8+DB27dqFWbNm4aOPPsLIkSPRvXt3aLVaWtLIsiwUCgVYlsWePXtw4sQJLFmyBHK53C9lloGIoJkF/EJmZibS0tKQlZWFrVu3ol69emBZFjKZzGMWGfnZ5XLh6tWrWLVqFbZv346WLVti1qxZaNCgAd1zSyQSFBcXY9iwYeA4Dlu2bIFara5WAsynengGBCodjUaD5ORkmM1m5OfnUy80vysIMaGBWxq1fv36mD59OlasWAG3242XX34ZX375JX3c5XLh888/x+XLlzF37lw6fLC6IpjZAn5Bo9EgNjYWVqsVOTk5VAvz2/XwmwYQp1doaCi6du2KlJQULF68GPPmzYPRaMSgQYOQlZWFjRs34tlnn0X9+vXv6SyrDgjCLOAXpFIpIiMj4XA4kJ2d7RFH5s+A4jur+BlhiYmJmDlzJtLT07Fw4UKYTCZYLBYwDIPBgwfTuvnqamIDgjAL+AnSpEAmk6GkpAQMw1Cv870cVuR3lmURGhqK4cOHw+VyYfXq1WAYBuPGjUNKSgqAWymiVbFO+X6pvjaJgF9hWRYJCQnQaDQoKCiA0+ks1/+KRCIwDIOQkBA8++yzUCgUiIiIwAsvvEDDVGTkUXVFEGYBv0A0s1arRV5eXrkqpvjpnWazGZ999hlKSkowYsQIOv4m2Mex+gJBmAX8glgsRnh4OLRaLW7evFmu5gQkBs0wDM6cOYONGzfi//7v/9C3b1+PqRRut7tajz4ShFnAL3AcB6VSidDQUOTn58Plct1VO5PqKQIxna1WK9atWweJRIKhQ4dCoVDQ8cGkk4hgZgsI+AGRSIS6devCbDZ7jHjlQ7Qwy7Jwu90028vtdmPXrl345Zdf0Lt3b7Rp04Zme4nFYmG6KARhFvATJORUp04duN1uXL16tcxuHxzHQSKR0KYF5MtkMiE9PR16vR4jR46ETqerhE8R2AjCLOAXiLe5Zs2aYBgGFy9eLPN5/EIKAFQ7b9myBWfPnsW//vUvJCcnV+u98d0QhFnALxDhi/z/9u7dpXkoDAP4c2yNJmLEiNISSL0sXsFNCiK6ODnoIELBC4Lu9n8QpJOr4uLiIA4OFVxEd1EoQRAdpEI7SClCaZqYqN908sVL8fLJGT7fH7hlEh9zcs573re1FbW1tTBNs+pzvBWQ67oIhULIZDLY3NxET08PZmZmAPzu4pBqKMxECL50bmxshKIouL6+rvp2De5027aN3d1d3NzcYHFxEYZhvKjhJn9RmIkQjDGEw2GoqgrDMFAoFN49G+bfzLyU0zRN7O/vY2RkBOPj4/9lV82fQmEmQvBumqqqor29HZZloVgsvvtsKBSCZVmwbRupVAqO4yCZTKKlpcWvBKNl9lsUZiJUQ0MDdF1HuVz2B8kF8e6ckiTh5OQEx8fHmJqawtDQEBhjeHh4oLdzFRRmIgQ/D5YkCZqmoVKpvBtm3mb3/v4e6+vrUFUVc3NzqK+v95fg/+M0ip9AYSZC8GU2YwyqqsJxHBQKhTfP8XvO29vbME0TyWQS3d3dfncRgHayq6ErkEQIz/P8XehYLAbGGIrFot+hk/fAZowhn89jZ2cH/f39mJychCzLb6q7KNBvUZiJEMFuIoZh+MPXeShd14UkSfA8D2tra7i6usLW1hai0eiLIhJSHYWZCMMvUPDh67e3twDg33pyXRdnZ2dIp9OYmJjA2NgYhfgL6JuZCBOc16xpGnK5HGzbRjgchuM4AICNjQ1UKhUsLCxA0zQAv2cixb+i3xIRgu9m83lSHR0dyGazkGXZPzc+OjpCOp3G9PQ04vH4r2le/1MozESYYOO+wcFBlEoleJ6HmpoalEolrK6uQtd1LC0tQZZlCvIXUZiJMPxNK0kS+vr68PT0hMvLSzw/P+Pw8BDn5+dIJBLo7e31n6c67M+jMBMh+I403+zq7OyE53m4uLjA3d0dUqkUBgYGkEgk/CU5Lw6hN/Tn0G42ESYY6KamJtTV1eH09BSZTAbZbBZ7e3uIRCL+ufPj46MfatoE+xiFmQjBL0jwfl2KokBVVRwcHMCyLIyOjiIej/tHVLxajN9tJh+jf3dEiOAdZcYYFEWBruvI5/Mol8tYWVmBoij+Mpz/8Kow8jEKMxEiuInFr0JGo1HYto3l5WUMDw/7ddnBJTU16vs8+i0RIV6/XWVZRnNzMyKRCObn518cW5HvoY8RIkRwUBz/bo7FYpidnUVXV5c/p5mOob6Phq0TIV7/mXmeh1wuh7a2thcTHKnq6/v+AKat7L+vBxZRAAAAAElFTkSuQmCC)
Use the given information to prove that the given triangles are congruent.
![](data:image/png;base64,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)
Maths-General
Maths-
Prove that the sum of the squares of the diagonals of a parallelogram is equal to sum of the squares of its sides.
Prove that the sum of the squares of the diagonals of a parallelogram is equal to sum of the squares of its sides.
Maths-General
Maths-
Find the value of m for which 5m / 5-3 = 55.
Find the value of m for which 5m / 5-3 = 55.
Maths-General
Maths-
In the figure, the sides AB and AC of
are produced to P and Q respectively. The bisectors of
and
intersect at O. Prove that
.
![](data:image/png;base64,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)
In the figure, the sides AB and AC of
are produced to P and Q respectively. The bisectors of
and
intersect at O. Prove that
.
![](data:image/png;base64,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)
Maths-General
Maths-
What additional information will ensure the congruence of the triangles ABC and PQR?
![](data:image/png;base64,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)
What additional information will ensure the congruence of the triangles ABC and PQR?
![](data:image/png;base64,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)
Maths-General
Maths-
Evaluate-
i. {(1/3)-1 - (1/4)-1)}-1
ii. (5/8)-7 × (8/5)-4
Evaluate-
i. {(1/3)-1 - (1/4)-1)}-1
ii. (5/8)-7 × (8/5)-4
Maths-General
Maths-
Are the bread slices used for preparing the sandwich congruent? Explain why or why not?
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)
Are the bread slices used for preparing the sandwich congruent? Explain why or why not?
![](data:image/png;base64,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)
Maths-General
Maths-
Anu notices that has a prime factor of 3 in the denominator, so he thinks the fraction will converto a recurring decimal. However when she enters the calculator , she finds that = 0.6Can you explain anu’s mistake ?
Anu notices that has a prime factor of 3 in the denominator, so he thinks the fraction will converto a recurring decimal. However when she enters the calculator , she finds that = 0.6Can you explain anu’s mistake ?
Maths-General
Maths-
Simplify: [2/3]3 × [2/3]−2 [[1/2]−2]2 × 1/24
Simplify: [2/3]3 × [2/3]−2 [[1/2]−2]2 × 1/24
Maths-General
Maths-
Prove that AB ≅ DC
![](data:image/png;base64,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)
Prove that AB ≅ DC
![](data:image/png;base64,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)
Maths-General