images listlengths 1 1 | problem stringlengths 14 321 | answer stringlengths 1 103 | id int64 5.47k 11k | choices null | ground_truth stringlengths 1 103 |
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{
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASAAAADOCAYAAACeut/GAAAgyElEQVR4nO3de1xTd5438A81FAIRuRovIAwgokbrDbSKxbVaryOIa/usT8V1Sn1aa7Wsg+OrOqNux9lW2jqjtLvjZR2rY18toxXbqde2WKG1AgISFSMil2CNkatgkhrM80fMIYEkBEhyTk6+7396KAg/Qs7n/C7f8zseOp1OB0IIYcFTbDeAEOK+KIAIIayhACKEsIYCiBDCGgogQghrKIAIIayhACKEsIYCiBDCGgHbDXBVKo0Wtco2AIC0... | <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | A | 5,775 | null | A |
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{
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUwAAADCCAYAAAAio/tDAAApzUlEQVR4nO2df1BUZ5rvvxiM4CgHnJgETbegjnOL6o6Mrjs30wQ1d0sLmERm61YtUGTBfwJqcofZWZcqQ5WkiljFuNklV9HGf4I1FvRUzU4wGZrSqomAdKYybFy0u6wbZ0A8HSWJWZuDTsCEmPtH93s4/ePQTff51d3PpypVnT50nxdpvjzv83zf58n47rvvvgNBEAQRlWV6L4AgCCJZIMEkCIKIERJMgiCIGCHBJAiCiBESTIIgiBghwSQI... | <image>Find y so that the quadrilateral is a parallelogram. | A | 5,777 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVMAAAElCAYAAABZMAGoAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. | B | 5,778 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAACvCAYAAAC/zhhAAAAW8ElEQVR4nO3da0CUZd7H8a8CEoqoIKGLR6TyAKImWkqrlaZWq6a1pR2MQnsqysjVWt0yO9iWlZWoW2FW2nk9ZLmeWqsNysCSYlRSBE3IJgQVgQEZnOeFgYOCAQFzz8zv84qZuRkuYOY3//s63c1sNpsNERGDae7oBoiIVEfhJCKGpHASEUNSOImIISmcRMSQFE4iYkgKJxExJIWTiBiSwklEDEnhJCKGpHASEUNSOImIISmcRMSQFE4iYkgK... | <image>find \tan R. | D | 5,779 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAAD2CAYAAACk5gd3AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find x. Round to the nearest tenth. | C | 5,780 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUgAAAFLCAYAAAC0gBWdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the value of x. | C | 5,781 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATYAAAEICAYAAADVzNh0AAA7H0lEQVR4nO2deVhUZfvHvwQEg4CCIhooyKKAuKCiohRWmksm7gvub7i+WpmilppZ0isuWWlKRblrbihpmssvNSUUXEBQkU3EQUVkkHVAlvP7Y5xhBgYYmDMzhzP357q8rlnOnHkcnvM99/PcmwHDMAwIgiB4xGu6HgBBEATbkLARBME7SNgIguAdJGwEQfAOEjaCIHgHCRtBELyDhI0gCN5BwkYQBO8gYSMIgneQsBEEwTtI2AiC4B0kbARB... | <image>Find x. Assume that segments that appear to be tangent are tangent. | B | 5,782 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS4AAADUCAYAAAAiPs6IAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find x. | C | 5,783 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAG0CAYAAABaCzrbAACl80lEQVR4nOzddXRc17nG4d8wiJnRzMzsOHaYmfm2oSZNk0Kg4aYpBNo0TZo0DTOjmZmZxawRaxjO/WPGI8koK5It+J617lp3ddnyOJbOOd/Ze7+vSlEUBSGEEEIIIYRoZ+rT/QGEEEIIIYQQ3ZMMG0IIIYQQQogOIcOGEEIIIYQQokPIsCGEEEIIIYToEDJsCCGEEEIIITqEDBtCCCGEEEKIDiHDhhBCCCGEEKJDyLAhhBBCCCGE6BAybAgh... | <image>Find m \angle 1. | D | 5,784 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOcAAADVCAYAAACsRueGAAAf60lEQVR4nO2de0BTV7q3fxxjJRhQQIwKCEVEtPGCBfUULU4rXjpWLH62n35V65HOmdNSezw9OI7OVDutHlvb6YxSnWmZsdoZ/VqnKo6t13FkhFYBhWpUwMCABG2M3CIY0NCcP+LeSeSShFz2ys77/BUugUXIs9e73vXud/kZjUYjCIJgjn8RegAEQXQNyUkQjEJyEgSjkJwEwSgkJ0EwCslJEIxCchIEo5CcBMEoJCdBMArJSRCMQnISBKOQ... | <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | C | 5,785 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgYAAAHjCAYAAABYXtcMAACnAElEQVR4nOzdd3xc5Zn3/88500calZE00qi6N9wbNsZgOgSSEErqbhJSICG9bXY3++z+8uw+abubkEZIIbubbBotQELHFAO2AYOxca+S1ftIo+lzzvn9cWZGki2DLUuakXS998XaVixpLGnmfM91X/d1K4ZhGAghhBBCAGq2H4AQQgghcocEAyGEEEJkSDAQQgghRIYEAyGEEEJkSDAQQgghRIYEAyGEEEJkSDAQQgghRIYEAyGEEEJkSDAQ... | <image>In \odot F, if D A = 7.4, what is E F? | A | 5,786 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoEAAAGTCAYAAABXpci1AACJF0lEQVR4nOzdZZgcZdbG8X9V+7i7xokTTwhJiOHu+uKwyLLA4oEQ3JYFFl3c3S3uISHunrFkMu7SWlXvhxk6YYlMJuNzftfFlyGT6el0V991nuc5RzEMw0AIIYQQQnQqams/ACGEEEII0fIkBAohhBBCdEISAoUQQgghOiEJgUIIIYQQnZCEQCGEEEKITkhCoBBCCCFEJyQhUAghhBCiE5IQKIQQQgjRCUkIFEIIIYTohCQECiGEEEJ0QhIC... | <image>Find y. | B | 5,787 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnMAAAFtCAYAAABshOx4AAChfElEQVR4nOz9V5BcV5buef6Pe7jWKrTWAloTAAEQIARBnazMLJFZVT11+3b3tX5pm26zeRqzeZ3nnrE2655blVW3VGZlUpMASRAgCK1VaK3Dw7XW58yDRwCgAAiACCAisH8PacZIhMcJ4cc/33uvtSRFURQEQRAEQRCEFUn1vC9AEARBEARBeHIizAmCIAiCIKxgIswJgiAIgiCsYCLMCYIgCIIgrGAizAmCIAiCIKxgIswJgiAIgiCsYCLM... | <image>Find m \angle 1. | B | 5,788 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOkAAADoCAYAAAAKa8NGAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAGhAoM/InJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzDpaLcSpIPTNo7lLKGue5Yz9mOpRAFdKanEykP4DxOnJBUUlDAyMKUC2cnlJAYjdAWSLFAEdBWTPAbHTIewNIHYShH0ErCYkyBnIvgFkCyRnJALNYHwBZOskIYmnI7Gh9oIAr4urj49CsKuRuaGl... | <image>Find the area of the regular polygon. Round to the nearest tenth. | C | 5,789 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA0UAAAF5CAYAAABQoIFKAABZEUlEQVR4nO3df2xTd77/+ffMzfe76YrpwV1lVzCy+ZFe/sjaJKVikOpAwv1qiwhqk2r/SRAV4f5RAkwv6SA2UgapqcRFykW06fQCYf64mJ0o9h8rjWlFEJV2GtK4EkVlUmzlKzENzdhK2VW0JKeZ7zfZ7+aK/cM9xudHEtvxz3OeD2k0iWNODjSxz/u8P5/362fPnj17JgAAAADgUD8v9QkAAAAAQClRFAEAAABwNIoiAAAAAI5GUQQAAADA... | <image>If Q R S T is a parallelogram. Find z. | D | 5,790 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEXCAYAAABiTcW4AABIyElEQVR4nO3dd1zVZf/H8RcBIogDEBEBQaYouMGBq0LNNHGklQ3tTrsbllrp7U8tqzu7LSsru5t2u8pKy9Gy1EpTHOAWB0tBQUQEZMgBAc/vj+M5HPZhnvV5Ph49OngGF+t9ru/1uYaFUqlUIoQQwqjcoe8GCCGEqDsJbyGEMEIS3kIIYYQkvIUQwghJeAshhBGS8BZCCCMk4S2EEEZIwlsIIYyQhLcQQhghCW8hhDBCEt5CCGGEJLyFEMII... | <image>Find m \angle R C L. | B | 5,791 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATUAAAD2CAYAAAC3FBCqAAAc3klEQVR4nO3de1RVZeLG8S8DBKSCoIgEhSWiFpqaoiOUzqRZWl6yMp3umU2W41gjY1pZ0+Q4OmaldpkupjONmWVqNyt/KaXmXUu8g6JCiAgkGF7gsH9/4CE4ngNYnNs+z2ct16rDPoeXjGe9+93P3q+fYRgGIiIm8Rt3D0BEpCEp1ETEVBRqImIqCjURMRWFmoiYikJNRExFoSYipqJQExFTUaiJiKko1ETEVBRqImIqCjURMRWFmoiYikJN... | <image>Find A C. | B | 5,792 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAawAAAGQCAYAAADycFR6AABBbElEQVR4nO3df3BU550u+McJuRFbSEdyXfYOyJKF8eWuNd1IgSIQt4zkmQGXpAI0gdRIhBSI1FgCrh15CFGVzMT2LKZKIYxlfPnlqQAqaySlAomAQqzFTZCwOoGwMAL1yncZE+OWBLuXXaSWXANzww77hziHc06fbvXpPqfPr+dTlYq61S0dZKmfft/3+37fpx49evQIRERENvcVqy+AiIgoEQwsIiJyBAYWERE5AgOLiIgcgYFFRESOwMAi... | <image>Find the value of s in the parallelogram. | C | 5,793 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAELCAYAAAAvPrYDAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMegz6CUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisdruni1tlZa5emMsxZZ/PwTpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>If M N \parallel P Q, use a proportion to find the value of x. | C | 5,794 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAADICAYAAAC56GdWAAAkAElEQVR4nO3deUBU5f7H8fcEiCCggIgkCiKQGO6CFprcMk0rUVMrtbIkrTSrW/qzvDezskXTLG0zvS6llpq5tLkVlpa5oqIiKIJCisiODsjA+f2BjAMii84wc2a+r78G5szwDDCfeZbveY5GURQFIYRQmVvM3QAhhLgREl5CCFWS8BJCqJKElxBClSS8hBCqJOElhFAlCS8hhCpJeAkhVEnCSwihShJeQghVkvASQqiShJcQQpUkvIQQqiTh... | <image>Find x. Assume that any segment that appears to be tangent is tangent. | A | 5,795 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAEuCAYAAADoTFtJAAAy70lEQVR4nO3deVyTZ7o38B8gEgwoZRPZjCCKVFtUWltKtW491Vp7bHGqpzIuXWx1Xm0tXad2kZmu1Gn5HLX6dsStY6e4TB2rnbqN1lLbIjK1RpTFCAQBQ8qWhAgJ54/HPCQQSAhJniXX96+wJTeQ/HIv130/Xu2t1R0ghBDSI2+uG0AIIXxHQUkIITZQUBJCiA0UlIQQYgMFJSGE2EBBSQghNlBQEkKIDRSUhBBiAwUlIYTYQEFJCCE2UFAS... | <image>m \widehat J H = 114. Find m \angle 1. | B | 5,796 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPIAAADvCAYAAADIIInhAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | A | 5,797 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATAAAADuCAYAAAC+uFsYAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find x. | B | 5,798 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARAAAAEACAYAAAB73CmOAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Assume that the triangle is equilateral. | B | 5,799 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASUAAADQCAYAAABBT3dpAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round the angle measure to the nearest degree. | B | 5,800 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAN8AAAFDCAYAAAC6KtugAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>\triangle K L N and \triangle L M N are isosceles and m \angle J K N = 130. Find the measure of \angle M. | D | 5,801 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhEAAAEtCAYAAAC2zjJZAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Triangle A B C is similar to triangle D E F. Find the scale factor. | C | 5,802 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATMAAADgCAYAAABvhYFrAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. A = 104 ft^2. | A | 5,803 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS4AAADsCAYAAADKF0tIAAAqfElEQVR4nO3de0BUdd7H8bcBq+CIgiEqqIioiGjeQPOGtanpbmG62uqTmo/o05rWWqtZVmZla7rlbri1GW2mrW26mnax1GqxxAoQUREREVEHFUfuIBDgPH8MHGZguMll5sx8X38xeGY4yMzn/C7f3++00ev1eoQQQkXusPQJCCFEY0lwCSFUR4JLCKE6ElxCCNWR4BJCqI4ElxBCdSS4hBCqI8ElhFAdCS4hhOpIcAkhVEeCSwihOhJcQgjV... | <image>Find R S if P Q = 12, Q R = 2, and T S = 3. | C | 5,804 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAEaCAYAAABn3e+aAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Refer to the triangle shown below. Find z to the nearest tenth. | D | 5,805 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPQAAADWCAYAAADmS6/DAAAn5UlEQVR4nO2deUBTV9rGH5pYiETWRlSiICAFjBZk0SIV2xG3r62K1fn0c52inbbaju3YOtqptTPOZ7Wt3yhTW8Wxagc7Wre2U9darWAVEFFQ2VTQoGIkLAIhJTHfH9fcLISQQMhdcn5/3as3ySG5zz3vec573uOm0+l0IBAIvOAxphtAIBAcBxE0gcAjiKAJBB5BBE0g8AgiaAKBRxBBEwg8ggiaQOARRNAEAo8ggiYQeAQRNIHAI4igCQQe... | <image>The radius of \odot P is 5 and P R = 3. Find Q S. | D | 5,806 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAF+CAYAAACrs5IrAACAcElEQVR4nO39Z3RcaXbm+f7DewfvPehAA3rPZBqmN5W+nMqqJLW6NVc9a/W6H+7MrJm5d1a3es30dPeou1QqlVcpK733mUySSe9BghY08N6E9xHnfjgBECBIJg0AIsD9+1KrwEAgiAyeHc9597tfjaIoCkIIIYTIGtq7/QKEEEIIcWukeAshhBBZRoq3EEIIkWWkeAshhBBZRoq3EEIIkWWkeAshhBBZRoq3EEIIkWWkeAshhBBZRoq3EEII... | <image>Find z. | A | 5,807 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADVCAYAAACR1IbgAAArb0lEQVR4nO2dfVyUdbr/3ywQDyIIiIiAPD+IgwKKmmC4nbRsK9TWWq0sf0vtZtbJOrqdrbbaspfp9qhn62y2ZpbVmphtW5puR0tKBYEUlWdBBxERkMeBYJzfH8PczCBPysA998z3/Y/34Nwz18zcn/t7fa/vdV1fO51Op0MgEFg9v5DbAIFAMDwIsQsENoIQu0BgIwixCwQ2ghC7QGAjCLELBDaCELtAYCMIsQsENoIQu0BgIwixCwQ2ghC7... | <image>In \odot F, F H \cong F L and F K = 17. Find K M. | D | 5,808 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAn0AAAHzCAYAAABVIav4AAD5q0lEQVR4nOzdd3ib9bXA8e+rPWzLe9vZtrP3ZIW9CXuPlpaWWUZbaOEWShmlhbJnWyh7Q4Cwww4kZO/EdpzlvW3Zsrb03j8ky3amndiOx/k8T5/nhushydKro/M7Q1FVVUUIIYQQQgxomkN9A4QQQgghRM+ToE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQ... | <image>Point S is the incenter of \triangle J P L. Find m \angle M P Q. | D | 5,809 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAADACAYAAADWUx5FAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMegz6CUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisdruni1tlZa5emMsxZZ/PwTpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y in the figure. | A | 5,810 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAENCAYAAACmdtpXAABHI0lEQVR4nO3dd3iTZdvH8W/SvQtdQIFS6GTvUpYgoqggQ3E8bhEnDhwsHzdLFBBw4Ytb9HECMgRRUfbe0AVtKaWle6dtmvH+kbY0HdCdNjk/x8FhuZukFxhy3td9/67zUuj1ej1CCCGECShNPQAhhBCWS4qQEEIIk5EiJIQQwmSkCAkhhDAZKUJCCCFMRoqQEEIIk5EiJIQQwmSkCAkhhDAZsyxCGQVqUw9BCCFELZhlEfrxeCrHEnNNPQwh... | <image>Find the angle measure of \angle 2. | A | 5,811 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAigAAAFNCAYAAAAq3JTxAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y so that B E and A D are perpendicular. | B | 5,812 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAACvCAYAAAC/zhhAAAAW8ElEQVR4nO3da0CUZd7H8a8CEoqoIKGLR6TyAKImWkqrlaZWq6a1pR2MQnsqysjVWt0yO9iWlZWoW2FW2nk9ZLmeWqsNysCSYlRSBE3IJgQVgQEZnOeFgYOCAQFzz8zv84qZuRkuYOY3//s63c1sNpsNERGDae7oBoiIVEfhJCKGpHASEUNSOImIISmcRMSQFE4iYkgKJxExJIWTiBiSwklEDEnhJCKGpHASEUNSOImIISmcRMSQFE4iYkgK... | <image>find \cos S. | D | 5,813 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWUAAADkCAYAAABAHjVyAAA0z0lEQVR4nO3de1jUdd7/8ScBwSCggIgICgIq2mhCgiYYbGllB/FQuVqZbtRupVv+Cm9XK7NW16SyTbOt3NXMdMs0qe4O6l1S4AlPKSpyUFAQEQFB5BCM8/sDGM7DAAPzHXg/rsvr4vAd+AjMaz7f9+dkodVqtQghhFCEm0zdACGEELUklIUQQkEklIUQQkEklIUQQkEklIUQQkEklIUQQkEklIUQQkEklIUQQkEklIUQQkEklIUQQkEklIUQ... | <image>Find x. | A | 5,814 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUMAAAEZCAYAAAANJkeWAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of a regular hexagon with a perimeter of 72 feet. | C | 5,815 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPIAAACMCAYAAABGQPQVAAAO6ElEQVR4nO3deUCUdf7A8ffIIRAgjIyIJ8qhrii/NNRENyrL9QgUbd2wzH5dq7aema5uaVmrVu6amtuBoVbueoSLmkeoy2asipl5hQoogq4SCMiNHM/+kZhSkMLMPM88fF7/MTPMfOWZt995zjEoiqIghLBpzdQegBCi8SRkIXRAQhZCByRkIXRAQhZCByRkIXRAQhZCByRkIXRAQhZCByRkIXRAQhZCByRkIXRAQhZCByRkIXTAviG/9FLM... | <image>Find y. | A | 5,816 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAAD6CAYAAABd29lZAAAfiUlEQVR4nO3dfVxUdb4H8I+pa+Nla53MhzAYy8GrZmNugzsaZivCa1BXajcERlZvq8tDmRAkuwtmewVNE8VqAa/a1WsgWiHekll0LE1xUm6s40OmY/FQc9PScb2xnNo07h/THGeAg8PDnN85c77vvw5Pc74ww2d+T+d3+rS2traCEEI6cBvrAggh0kUBQQgRRAFBCBFEAUEIEUQBQQgRRAFBCBFEAUEIEUQBQQgRRAFBCBFEAUEIEUQBQQgR... | <image>Find the exact circumference of the circle. | B | 5,817 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASwAAADZCAYAAACaVQ1rAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region. Round to the nearest tenth. | B | 5,818 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfUAAACtCAYAAACp4uY/AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find x. | B | 5,819 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPcAAACbCAYAAAC+ug1yAAAZjUlEQVR4nO2de1yT59nHf0JTAgFlnERBjHiiVP1ooeqYtrW2q1hH56mzG1Zr12p1084PrdUere2qrXPKNqt2tfXQV99Jy6fMWadtqdbx1opIp0UUwaiEIsY0GMiBSHj/iHl4EhKSkOQ55fr+RSCEO+H5Pdd9/+7ruu5eN00NHSAIQnKE8T0AgiCCA4mbICQKiZsgJAqJmyAkCombICQKiZsgJAqJmyAkCombICQKiZsgJAqJmyAkCombICQK... | <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | C | 5,820 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAEFCAYAAADJzaNEAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>If W P is a median and an angle bisector, A P = 3 y + 11, P H = 7 y - 5, m \angle H W P = x + 12, m \angle P A W = 3 x - 2, and m \angle H W A = 4 x - 16, find x. | A | 5,821 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAD2CAYAAAD8vMNHAAAZ70lEQVR4nO3de3hU5YHH8W+cRAggGEKICOQuIZBwURJUcK31gmVdVPBeUUC0VRDXPvVpd+vq2l23tt0uWlF3Ky0VXGpFQKnrBdxWa1AhrEATCIm5gQkQw6XEkABJmP0jkAwhyZmZnDPnnJnf53n6+MScwUPP5Hfe85v3fRN1/MQJLyIiAYoiqsfvnxOi8xCRCBPdc/aIY0T5XClvhA02I/nv7jQ+18IoO6KjohQvbuB7nSLtxyuS/+5O5G9m... | <image>Use rectangle L M N P, parallelogram L K M J to solve the problem. If m \angle P L K = 110, find m \angle L K M. | D | 5,822 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV4AAADaCAYAAADufSpgAAApZklEQVR4nO3deVxTZ9YH8B+KShC3UIsKCq2C1lJRFKwGB2pFCi7gilAXnOKn7sVRxBHntU7FV1BHWi3qiANuWKkLuEAB60AlUkFRKlVL1AISLa8SBZGAsrx/pAkJ+5Lk3nDP968MSW4eO3h8cu55ztGrqampASGEEK3pxPQCCCGEayjwEkKIllHgJYQQLaPASwghWkaBlxBCtIwCLyGEaBkFXkII0TIKvIQQomUUeAkhRMso8BJCiJbpTODd... | <image>Find x. | D | 5,823 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAesAAAGzCAYAAAAPLj87AACNZklEQVR4nOzddXhc17X38e8wS5oRs2RmjmNmpjCWAu3tLadtUr697703KafMlJTCSRMzM8aOmVHMPKPhmfP+IXkkGWXHtmak9XmePo1jWT52Zmbts87a+6dSFEVBCCGEEFFL3dUXIIQQQohrk2IthBBCRDkp1kIIIUSUk2IthBBCRDkp1kIIIUSUk2IthBBCRDkp1kIIIUSUk2IthBBCRDkp1kIIIUSUk2IthBBCRDkp1kIIIUSUk2IthBBC... | <image>Find z. | C | 5,824 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb0AAADeCAYAAACpOd4EAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Express the ratio of \sin A as a decimal to the nearest hundredth. | A | 5,825 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAd0AAADSCAYAAAAPHBoPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Round to the nearest tenth if necessary. | B | 5,826 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASEAAAClCAYAAAATS0thAAAh9UlEQVR4nO3de1zUVf7H8RcJwiCioEgKCKEgGN5Fy0uiaWaZmJatmlYbtvsrt3QLM61VM9vK7rpmZXnNdnW9dbFUajWviXfIC6Chgorc5DpDDM7vD5hhBoarM3wH5vN8PHw8HGaY+c4w855zzvecz3HQ6XQ6hBBCIbcpfQBCCPsmISSEUJSEkBBCURJCQghFSQgJIRQlISSEUJSEkBBCURJCQghFSQgJIRQlISSEUJSEkBBCURJCQghFSQgJ... | <image>Find x. Assume that any segment that appears to be tangent is tangent. | A | 5,827 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA0UAAAF5CAYAAABQoIFKAABZEUlEQVR4nO3df2xTd77/+ffMzfe76YrpwV1lVzCy+ZFe/sjaJKVikOpAwv1qiwhqk2r/SRAV4f5RAkwv6SA2UgapqcRFykW06fQCYf64mJ0o9h8rjWlFEJV2GtK4EkVlUmzlKzENzdhK2VW0JKeZ7zfZ7+aK/cM9xudHEtvxz3OeD2k0iWNODjSxz/u8P5/362fPnj17JgAAAADgUD8v9QkAAAAAQClRFAEAAABwNIoiAAAAAI5GUQQAAADA... | <image>If Q R S T is a parallelogram, find y. | B | 5,828 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANQAAAC1CAYAAAAndtHnAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth. | A | 5,829 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAECCAYAAAAhNhhMAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth. | D | 5,830 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAEOCAYAAABb8BfEAAAmbElEQVR4nO3de0BUdf7G8YcQFUIUb4ggeEPzrhhqokKmtplmZZfVNrNy213LtrZ07ee26ba1puvWZtm2uWbWWm6ZkmaX1fKGpuYVL6kgiiiiAnKRizDM7w/UReUyyMycOTPv11/IDDNfYZjzcM5zzsfLarVaBQAAYJAbjF4AAADwbIQRAABgKMIIAAAwFGEEAAAYijACAAAMRRgBAACGIowAAABDEUYAAIChCCMAAMBQhBEAAGAowggAADAU... | <image>Find the perimeter of the \triangle A B C, if \triangle A B C \sim \triangle C B D, A D = 5, C D = 12, and B C = 31.2. | C | 5,831 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbEAAAD7CAYAAADkZKoPAAAruUlEQVR4nO3df1CU970v8DcGZEnQZc2hqdpFEENbs0SSHPUcUcGbGU10Esj5I8FcW7DNbUxyMm709NgaZ1xnjB2no13bJjE950ZsU0XvPeOSXk3wno5IWHPVia5hNR0SENgqVU7YXTBhjZtw/1ieh2d/sOzCPrvP8+z79U9UWHxUwpvv9/l830/G8PDwMIiIiFRoSqovgIiIaKIYYkREpFoMMSIiUi2GGBERqRZDjIiIVIshRkREqsUQIyIi... | <image>If m \angle B A D = 38 and m \angle B C D = 50, find m \angle A D C. | D | 5,832 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAN8AAAFDCAYAAAC6KtugAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>\triangle K L N and \triangle L M N are isosceles and m \angle J K N = 130. Find the measure of \angle L K N. | D | 5,833 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAz4AAAFECAYAAADm7etWAAB7mElEQVR4nO3deViU5foH8C8OuywCEiiI7LigR1TQhILMPROXNq00T1pH08oM8+jpmKfyeCSz0jLTX5aVtrlgmWsmBqagYorKLrKIhCwCsg/z+wNmmGEWthlm+36uq+uad+adl0eTeed+nvu5bxORSCQCERERERGRAeuh7QEQERERERFpGgMfIiIiIiIyeAx8iIiIiIjI4DHwISIiIiIig8fAh4iIiIiIDB4DHyIiIiIiMngMfIiIiIiIyOAx... | <image>Each pair of polygons is similar. Find x. | A | 5,834 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiEAAAFXCAYAAAB0hJ7GAABIYElEQVR4nO3df0xb954n/E/7sDtGG3ogUlYPoXYgZKPnIjswqbgd1SmQ+6iJQtTi2Xtn1+ShArrahoRm6t5OFolmb8nzpEhMnk7J5qbAlbaALg/2o53ZMYkAJffRlCS4z81F7YXYolK2JNQe4A+0wAmRQFo02T+cczi/bB/bxz7H9vslRcIH25ziYn/O9/P5fj4vPX/+/DkBAAAApNnLep8AAAAA5CYEIQAAAKALBCEAAACgCwQhAAAAoAsE... | <image>Find the value of x in the diagram. | B | 5,835 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAAEQCAYAAABFmEpzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth. | A | 5,836 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnAAAAFgCAYAAAA7LUSlAAC0/UlEQVR4nOz9d3hcV3rn+3535VyFQhVQyAAJgCTAHCWKpMSk1MqZSt0OY8/MGZ/xeGbs8Zw799xz7nPu5Ojx2O623a1Wt1rqllo5kFRiFDMBEgRAEAzIuXJO+/5RhUiASSRAAOvzPHpaagLFXQAK+1fvu961JFmWZQRBEARBEIRZQzHTFyAIgiAIgiDcHBHgBEEQBEEQZhkR4ARBEARBEGYZEeAEQRAEQRBmGRHgBEEQBEEQZhkR4ARBEARB... | <image>Find y. | A | 5,837 | null | A |
[
{
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAGxCAYAAAA59CENAACsY0lEQVR4nOz9d3xc93ng+3/O9I7eBoUgSIJg712V6tWyJKtYxZJlSXaS3ZvN7ia5u7/ftrstu7lJNruxZRVLsi1bvXeqUWLvHQABAiR6L9PrOfePAYcAm0gCIGaA5/1aJUsGAA+AmTnPPN+nKJqmaQghhBBCiJSim+gLEEIIIYQQZ5IgTQghhBAiBUmQJoQQQgiRgiRIE0IIIYRIQRKkCSGEEEKkIAnShBBCCCFSkARpQgghhBApSII0IYQQ... | <image>Find x. | A | 5,839 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQkAAADXCAYAAAAJK6SPAAAqbElEQVR4nO3de1TUdf7H8efkECCIgiCiKIiIN7S8oK6akqGWXbylpanpivarzLLSPGar1mqlu1sZlVu6mpltulpiNy8Z5DXxgoKXEO9DSiAiogMKzu+Pcb7MIA4DzDDfwffjHM8ZhBk+A8xrPt/356YxGAwGhBDiNu5ydgOEEOomISGEsEpCQghhlYSEEMIqCQkhhFUSEkIIqyQkhBBWSUgIIaySkBBCWCUhIYSwSkJCCGGVhIQQwioJCSGE... | <image>Find \angle 6. | A | 5,840 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAACpCAYAAADUdq0oAAAgrklEQVR4nO3deVxVdf7H8RebyKZ4AUVBRQRzwXJBczcl1Bat1Mp+ZVOajWVjNUM52dg+aY1l4+RSljXqTJs2aeWSpC3mCqHlAqIGioogm+xc7r2/P/TgwdiEc++59/J5Ph49HgWXywmvb849n+/3fVwqy85YEEII4RRc9T4AIYQQ2pFQF0IIJyKhLoQQTkRCXQghnIiEuhBCOBEJdSGEcCIS6kII4UQk1IUQwolIqAshhBORUBdCCCcioS6E... | <image>If m \angle 2 = 70 - 4 x and m \angle 5 = 18 x - 8, find m \angle 5. | B | 5,841 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcEAAAFcCAYAAACwQwV1AABgz0lEQVR4nO39d3RV57rn+X7nynkp54AASQSByNlgbOOccc72jrVP6OqqrtHd1V13dFdX97jVXXW76tQ5e++zt70dt7ONcwJswOQgEBkllHNcOc55/5AQwYBBSEhoPZ8x/A+WlhaLpflb7zvf53kUTdM0hBBCiASkG+8nIIQQQowXCUEhhBAJS0JQCCFEwpIQFEIIkbAkBIUQQiQsCUEhhBAJS0JQCCFEwpIQFEIIkbAkBIUQQiQsCUEhhBAJ... | <image>Find S W. | D | 5,842 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdgAAAHjCAYAAACAZA73AAB7h0lEQVR4nO3ddXSc17X38e8zzJoRM5gZ49gxO7bD0KSYMtzSLfeW2wt9y8x02942aZumlDZMhpBjx46ZQWAxS8P8zPvHjEaS7Ti2IxiN9mctr7A8kWbmN2efffZREolEggyUSCRQFGW8H8YVy5THnymPQwghJhvNeD8AIYQQIhtJwI6CTCkKZMrjEEKIyUiTaW/CiUQiK8qamfL4M+VxCCHEZKOcuwc78Jev9o35lYL7QiE6Ur/3eMm0x58p... | <image>Find m \widehat W X. | C | 5,843 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA7cAAAHBCAYAAACygEz2AADQ3klEQVR4nOzdd3Rc9Zn/8fedO31GmlHvXZZ7xWBsY2N6gFASIISE9E3ZTbKpu9ls39/upm16Yze9kwRCQk/ANDdscO+W1XufGU0v997fHyNLtrGNjWVLGj+vc/Zs8FG3fOd+7vcpimEYBkIIIYQQQgghxAxmmuovQAghhBBCCCGEOF8SboUQQgghhBBCzHgSboUQQgghhBBCzHgSboUQQgghhBBCzHgSboUQQgghhBBCzHgSboUQQgghhBBC... | <image>Find y if \triangle J L M \sim \triangle Q S T. | B | 5,844 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnoAAAGoCAYAAADRtEi1AABKc0lEQVR4nO3db2xTd973+W9ns7rdFfTgrrhXpIpJgBvtIptkGDFIY0jgelBEUBuP7geboFQJs1IJML2aDmIjpUhNpRQpg5im0ysQRtqLRI0SPxvTKomoVldDGldiUDsBWzxADaS2gAdISVwqJdLmvtgH5pycYx//i+3YPn6/pGpw7DhnSHA+/v5+v+/3lRcvXrwQAAAAWM6vCn0BAAAAyA+CHgAAgEUR9AAAACyKoAcAAGBRBD0AAACLIugB... | <image>Find the value of x in the diagram. | C | 5,845 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApAAAAHRCAYAAADdWYkEAACNhklEQVR4nOz9ZXxkV57m+/6CmUShUIiTmTnTmWZmpjJUlQu7enp65sycO3Nn7jln4MzM6dPVXdWFLpddZmbmZGYmpShIUiiYI/Z9ISW5nHYqrUxB/r+fj9/IqRU7pNCOJ9Zeez0qRVEUhBBCCCGEOEvqoT4AIYQQQggxskiAFEIIIYQQAyIBUgghhBBCDIgESCGEEEIIMSASIIUQQgghxIBIgBRCCCGEEAMiAVIIIYQQQgyIBEghhBBCCDEg... | <image>Find m \angle 2. | B | 5,846 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAH3CAYAAAC8SfapAAC7i0lEQVR4nOzdZ2Bc5Zn3/++ZXqUZtVGXZcu9dwyudAiQ0BPSgPQekmxvz/N/NtuS7KbspickJCGEDguEbmyMbdx7L+rSjEaakabX838xo5FkDNgqVrs+LzaRIx0fa2fOb+5yXbeiqqqKEEIIISYszWjfgBBCCCFGloS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ... | <image>A D and C G are diameters of \odot B. Find m \widehat G C F. | D | 5,847 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAd4AAADbCAYAAADDJPDEAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Line l is parallel to line m. What is the value of x? | C | 5,848 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAt8AAAHuCAYAAABHxGBRAADwRElEQVR4nOzdd3xcd53v/9c507vKSKMuy713x3ES2+kVCIRAgIQOW+7u0raX394t9+4ud/susHQIBAKBEEjvceIS996behm16X3OOb8/ZixLieO4qn6ej4djKZZGR9KU9/mez/fzUQzDMBBCCCGEEEJcdepYH4AQQgghhBBThYRvIYQQQgghRomEbyGEEEIIIUaJhG8hhBBCCCFGiYRvIYQQQgghRomEbyGEEEIIIUaJhG8hhBBCCCFGiYRv... | <image>The diameters of \odot A, \odot B, and \odot C are 8 inches, 18 inches, and 11 inches, respectively. Find F G. | C | 5,849 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAF6CAYAAAAXoJOQAAAxeElEQVR4nO3deVhUZcMG8BsHRDYRlFxAAmVRQANFMaUwc8ks19LU1Ay1Mq3MNHN5rUwzTa20fFNL05LPzIXMN1wyc0sBxQVFQBQR3FBQRBZhmO8PYJiBAWZfzrl/19V1dYZZToY3h+e5z/NYyWQyGYiISLAamPoEiIjIsBj0REQCx6AnIhI4Bj0RkcAx6ImIBI5BT0QkcAx6IiKBY9ATEQkcg56ISOAY9EREAsegJyISOAY9EZHAMeiJiASO... | <image>Find x in \triangle P Q R. | B | 5,850 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf8AAAGDCAYAAAAlERkEAAB+uElEQVR4nOz9d3icZ5rf+X7fyhEVUMiZJAgQzEmiJEqiKCrnlno6TE9Pj3uSx9uzs14fr2ev9Yaz59prj73rMx6vx5M8oXP3KGcqUKREMecEgACJHKtQOaf3/FEgCJIgCZAASAL35z91FwpFoPDe9T7P77lvRVVVFSGEEEIsGpo7/QKEEEIIMb+k+AshhBCLjBR/IYQQYpGR4i+EEEIsMlL8hRBCiEVGir8QQgixyEjxF0IIIRYZKf5CCCHE... | <image>Find y. | A | 5,851 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAFeCAYAAAAsbKAOAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the blue sector. | B | 5,852 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWYAAADBCAYAAAD8SBr0AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>The diagonals of rectangle A B C D the have a length of 56 feet. If m \angle B A C = 42, what is the length of A B to the nearest tenth of a foot? | A | 5,853 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAERCAYAAABCcWF4AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Quadrilateral W X Y Z is a rectangle. Find the measure of \angle 12 if m \angle 1 = 30. | C | 5,854 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOAAAAFkCAYAAAA5ezebAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. Round to the nearest tenth. | A | 5,855 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR0AAAD9CAYAAACBWaNNAAArQElEQVR4nO3de1jUZf7/8acLLKIIAiEeEBERUdFERU0o3VYz2xLTrNUt0w3b3dJ2/e5ibtaa2+qWVpbZaXWztNXMTaVarfRXWnjE1AQNAQUVRERBDjIQ4Pz+GGeYgQEGmPnMfGbej+vqugYZ4I7Da+7T+77babVaLUIIoZCf2bsBQgjXIqEjhFCUhI4QQlESOkIIRUnoCCEUJaEjhFCUhI4QQlESOkIIRUnoCCEUJaEjhFCUhI4QQlESOkII... | <image>In \odot A, m \angle E A D = 42. Find m \widehat C D. | A | 5,856 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAABBEAAAGLCAYAAACRPgrpAADn0klEQVR4nOz9dXdcd5rG/X6LmcUMlmV2zByyA01JOj3M3dPzHHgNz7s466xzzjPcA90z09Mc6MRO4pgpZhJLFkvFTHufP3ZJlmQ7lhXLovuzVpYhtmpLcklVV92/+9KpqqoihBBCCCGEEEII8RT6pb4AIYQQQgghhBBCrAwSIgghhBBCCCGEEGJeJEQQQgghhBBCCCHEvEiIIIQQQgghhBBCiHmREEEIIYQQQgghhBDzIiGCEEIIIYQQQggh... | <image>Find m \angle 1. | C | 5,857 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAE8CAYAAAC1hbgtAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region. Round to the nearest tenth. | B | 5,858 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAosAAAIlCAYAAAC9/LKJAADJUElEQVR4nOz9Z3DkeX7feb7/NhNp4b0p2PLedVfbmR4/PdNj6SkNKVLkzJLa0IZ2b+8e3F7ck73VWq3IISmRWpHikhI53vvunnbV5b0DUPDeIw0y8+/uQWZVwXaXgc/vK2KCwSgU+l9VQOYXP/P5KJ7neQghhBBCCLEMdaMfQAghhBBCbF4yLAohhBBCiBXJsCiEEEIIIVYkw6IQQgghhFiRDItCCCGEEGJFMiwKIYQQQogVybAohBBCCCFW... | <image>Find the scale factor from W to W'. | B | 5,859 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAF5CAYAAAAS6mexAAB3XklEQVR4nO39d3Ck9b33fb6vzjlKraxRmJwjk8g2YBMMBhvngAP2sc+5n2fr2dqq/WN3a7dqd6t2n9pQe9/nHIMNxsY+2GBsosmZSUxicpBGGkmt1N3qVud87R9Xq6WBAYZhFOf7qrIxskbTE9T96V/4fhRVVVWEEEIIIcS8p5vtByCEEEIIIa4MCXZCCCGEEAuEBDshhBBCiAVCgp0QQgghxAIhwU4IIYQQYoGQYCeEEEIIsUBIsBNCCCGE... | <image>Find m \angle 4. | B | 5,860 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAACOCAYAAABZq2hVAAAbeUlEQVR4nO2de1zUVd7H38QYDuIoGI4KIqKCl9HUQC0vWKlpN7xkPdrFbKm20koNK91KK0ox11zd2pQeU3vc7SKJtZu3SkpbBRNTUkRA1EFFYpBxYCAH5/lj+A2gIDrM7wbz/seXCr9zZuYz53zP93zP53jZ7XY7HjzIyA1yd8CDB48IPciOR4QeZMcjQg+y4xGhB9nxiNCD7HhE6EF2NHJ3QElkGUsoK7eRe/YCAJn5Fs6XXbym3x3Swx+A... | <image>Find x. Assume that segments that appear to be tangent are tangent. | C | 5,861 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARsAAADsCAYAAABEzQI0AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | C | 5,862 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAEICAYAAAAqbv2WAAAyrUlEQVR4nO3de0BT590H8C8lFIIYBMSIhIuAiBgVFNAKFtfXW29qtep0ra0rdavDbq7VOVtnXWdfq2udl7ZrS6vVvVrrvGC7VqttpQWroqASEREQMIgYAUEgMBLz/hFPSELIhZxcz+/zV7AnyVNIvue5nd/xUKlUKhBCCIc94OgGEEKIo1EQEkI4j4KQEMJ5FISEEM6jICSEcB4FISGE8ygICSGcR0FICOE8CkJCCOdREBJCOI+CkBDCeRSE... | <image>In \odot O, E C and A B are diameters, and \angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A. Find m \widehat A C B. | C | 5,863 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAECCAYAAAAhNhhMAAAyLklEQVR4nO2de1xUdf7/n4IjICIEiCigCGFKZqBohZe+mrVpRavprv1WM92u7q615X67WlttW7Z+2/S7Xeyime63vmm6kZe2tL6akSkqpSJKICo3ESbkPg4Mvz/GGWZggBmYYc6ZeT8fjx4PsDNnPsyc8zrv+6dXY0NxM4IgCC7Ex90LEATB8xGhEQTB5YjQCILgckRoBEFwOSI0giC4HBEaQRBcjgiNIAguR4RGEASXI0IjCILLEaERBMHl... | <image>In \odot G, m \angle A G B = 30 and C G \perp G D. Find m \widehat F D. | A | 5,864 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAa0AAAG3CAYAAAAHGwrKAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. | B | 5,865 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP0AAADxCAYAAAAA97GHAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth. | B | 5,866 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVwAAAD5CAYAAABrsI3FAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | B | 5,867 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAL8AAADCCAYAAAAYVhMZAAAqf0lEQVR4nO2dfVxTV7a/H4YgRGMUFFFBQUBERQsqapWKt+NbX61a7dVpbZ1S506rnXE6Wm+1Y71T/VidjlO17W1ra6u99sVqfem0vvTXagtWBdEKKiIiYhAxBQSBkJKY3x8xhwRCCOQkOYE8fyVwcrKTfPfea6+99lo+er3egBcv7ZDfuLsBXry4C6/4vbRbZD4+Pu5ugxcvbsE78ntpt3hHfi/tFu/I76Xd4hW/l3aLV/xe2i1e8Xtpt3jF... | <image>If A B = 60 and D E = 48, find C F. | B | 5,868 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADcCAYAAABH9duMAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y. | D | 5,869 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAC/CAYAAACojYQ6AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. A = 96 in^2. | A | 5,870 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASkAAAEjCAYAAABuAvfkAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the quadrilateral. | B | 5,871 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAC1CAYAAACAjjA1AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>In the figure, J M \cong P M and M L \cong P L. If m \angle P L J = 58, find m \angle P J L. | D | 5,872 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPoAAADRCAYAAADlh6/IAAAhL0lEQVR4nO3de1xUdf7H8RcC6ShCgkQsmKDgJdHURFth091VUbt417TSLma66uYltdQyW9dfaWVualtieCkvuSWmqXgpTdEUS1MML2BeMCRkVEQHgnF+f+BMAw7IMLcznM/z8ejxKDjgSXjP98z3vM/362EwGAwIIaq1Gq4+ASGE40nQhVABCboQKiBBF0IFJOhCqIAEXQgVkKALoQISdCFUQIIuhApI0IVQAQm6ECogQRdCBSToQqiABF0I... | <image>Use rhombus X Y Z W with m \angle W Y Z = 53, V W = 3, X V = 2 a - 2, and Z V = \frac { 5 a + 1 } { 4 }. Find m \angle Y Z V. | B | 5,873 | null | B |
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