images listlengths 1 1 | problem stringlengths 14 321 | answer stringlengths 1 103 | id int64 5.47k 11k | choices null | ground_truth stringlengths 1 103 |
|---|---|---|---|---|---|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARYAAAERCAYAAAC+SIj3AAA+VUlEQVR4nO2deVyU5fr/3zCObLLIJoIigijikguVkkumntLMMrVjv7TUOrZ4jnXMk9W35ZSnso7Hym+rLVra106alplWbmVGpaiYiguCiGziMAIDDOMww++PcYYZGGCAWR5m7vfr5es1I88wNzPP83mu63Nf93V71dYU1iEQCAR2xNvVAxAIBO6HEBaBQGB3hLAIBAK7I4RFIBDYHSEsAoHA7ghhEQgEdkcIi0AgsDtCWAQCgd0RwiIQCOxO... | <image>Triangles F G H and F H J are inscribed in \odot K with \widehat F G \cong \widehat F I. Find x if m \angle 1 = 6 x - 5, and m \angle 2 = 7 x + 4. | B | 6,174 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAADYCAYAAADMBNdGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>What is the area of the figure? Round to the nearest tenth. | A | 6,175 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAADLCAYAAADX/KDTAAAa7klEQVR4nO3dfVxUZd4G8AsBYZBAIUJkEAXEUlR8Gd+QwEoNPhamli26bha9WdRaYe76tFZGT8pu2kezzVB7SCnNFErFdFchAVN8lyJRUHQQRwIFkQEB5/kDmQB5P3PmnJm5vn/VzOHMPXq8uM/v3Of8rHQ6nQ5ERNQl3aQeABGRKWOIEhEJwBAlIhKAIUpEJABDlIhIAIYoEZEADFEiIgEYokREAjBEiYgEYIgSEQnAECUiEoAhSkQkAEOU... | <image>Find z. | D | 6,176 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAEyCAYAAACVn/uWAABQwUlEQVR4nO3deUBU5f7H8TcBKYooKKKCgAKKiIoI7qaVS1ruqelN08IW08q6mjfrlt3sZ1p6b5pWai6Vpl5Rs1zSW1iYCYqouAEqIKSIDILoQIDz+2NkGBSYAWfmDPB9/XWAmTkP23zO8z3PYqPRaDQIIYQQolwPKN0AIYQQwtpJWAohhBAGSFgKIYQQBkhYCiGEEAZIWAohhBAGSFgKIYQQBkhYCiGEEAZIWAohhBAGSFgKIYQQBkhYCiGE... | <image>Find x. Assume that segments that appear to be tangent are tangent. | D | 6,177 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAtQAAAGSCAYAAADDxFYcAACE5klEQVR4nOzdd5ycdbn//9c9vexsr9mSXjaVNFog9N6LKCqIYkGxgKAePed7jqd4/B1FsKKiIlVEpXekJAQSSO+9bu99+sx9//7YzRZIQrK7Kbv7fj4e/iGEZUhm7nnf1319rsuwLMtCRERERET6xXa8X4CIiIiIyFCmQC0iIiIiMgAK1CIiIiIiA6BALSIiIiIyAArUIiIiIiIDoEAtIiIiIjIACtQiIiIiIgOgQC0iIiIiMgAK1CIiIiIi... | <image>If Q R = 2, X W = 12, Q W = 15, and S T = 5, find R S. | C | 6,178 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATwAAAD7CAYAAAD3nyi+AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the blue region. | C | 6,179 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD2CAYAAAAgRbdwAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in the figure below. Round your answer to the nearest tenth if necessary. | B | 6,180 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf0AAADACAYAAAAOX7pPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | <image>Find x in the figure. | C | 6,181 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWAAAAE3CAYAAACU6psDAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the side measure to the nearest tenth. | B | 6,182 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASwAAACrCAYAAADcv6GhAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y. | D | 6,183 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASUAAAD5CAYAAABh7COXAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region. | B | 6,184 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASUAAADFCAYAAAASVORBAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round side measure to the nearest tenth. | B | 6,185 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAD8CAYAAACxUoU3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,186 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAEQCAYAAAC9eLGEAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find x to the nearest tenth. | C | 6,187 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAADDCAYAAADk4VihAAAaKElEQVR4nO3dbUCUVd4G8IscBARRSSIFkgSFJ8eUBK2g1c1VLM0X3GwxtUisdQOLXGvTTbPSzcwoGHWfxMiX1SdNUnYrUbfVglURBXJSRHzLIcMRBASHwcF5PoyMzAhzD3AP83b9vo3NywmHy3Of/33+x0Wr1WpBREStusvaAyAisnUMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoi... | <image>Find x. | A | 6,188 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhoAAAGRCAYAAAAjJhqgAACsf0lEQVR4nOz9d3ic53Xve3+n94IyqIPCBvYG9k6K6pLVi9Usybbck9hJdnZ29jnnfc/uyU6cxNtO3CVbxZKsYvVGir0T7L2izaCX6X2e88eAINhBEh3rc13OdSnCzDwDDWbW3Pe6f0ulKIqCEEIIIUQ/UA/2BQghhBBi5JJCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFEv5FCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFE... | <image>Find m \angle 6. | B | 6,189 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjQAAADdCAYAAACsX+hgAAAtsUlEQVR4nO3dfUDV9d3/8adxSI4CCoigAiIKopJ5h5laerWs1lqUrrryKsvF2la25brs6lfbyjab01UrrVa52d3aWnfaqtmshvNm5i0pKiIKIoiIHASRA3GO5/fHkeMRuTvcnfM9vB5/HeHcfBD4nhefm/e7h8PhcCAiIiJiYBd5ewAiIiIi7aVAIyIiIoanQCMiIiKGp0AjIiIihqdAIyIiIoanQCMiIiKGp0AjIiIihqdAIyIiIoanQCMi... | <image>Find Q X if E X = 24 and D E = 7. | B | 6,190 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAj0AAAIfCAYAAACb9W08AADe30lEQVR4nOzddXTb+Z7f/6fQkm1ZYGaGMDPzZBjunYtzYS/fu3vvQrfbX7vbdttu2227uxd2LzPfucOcmUwmnEyYzcwkS7LF8P39IRniODNJxkkc+f04JyexIsmKI0svf+ilUhRFQQghhBAizqnv9gMQQgghhLgTJPQIIYQQYlaQ0COEEEKIWUFCjxBCCCFmBQk9QgghhJgVJPQIIYQQYlaQ0COEEEKIWUFCjxBCCCFmBQk9QgghhJgVJPQI... | <image>P is the incenter of \angle X Y Z. Find P K. | C | 6,191 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 8, b = 15, and c = 17, find \tan B. | C | 6,192 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAEFCAYAAADJzaNEAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>If W P is a perpendicular bisector, m \angle W H A = 8 q + 17, m \angle H W P = 10 + q, A P = 6 r + 4, and P H = 22 + 3 r, find m \angle H W P. | C | 6,193 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAACTCAYAAACDK9xGAAAcjklEQVR4nO2de0ATZ7rGH0owRDByMUQgAiIqslGhcnELCtt631a8rPbotnTZ0nZb0R63i2vtnlbbrcfq8dgq23a7dL21uq2K1fV47bbSYlcFC2pUREDQIMUISABDJMr5I2ZIwkQCJJlJeH9/TS4z+ZLMPPO+z/d97+fW3t7eDoIgCDMe4boBBEHwExIHgiBYIXEgCIIVEgeCIFghcSAIghUSB4IgWCFxIAiCFRIHgiBYIXEgCIIVEgeCIFgh... | <image>Find m \angle 2. | B | 6,194 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWoAAADuCAYAAAAQjk2ZAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find y. | D | 6,195 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAAEgCAYAAAAe3wDSAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>In right triangle A B C shown below, what is the measure of \angle A to the nearest tenth of a degree? | B | 6,196 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAccAAAEaCAYAAABkXJxDAAA+JklEQVR4nO3de0CUVf7H8TcBKYYoKCKBN0BARcsLaqLhtppllqZpm7vdNmu72a5buP66qbtra1pZ2XXT7LaWud6qzSwrLDHzgqaIiKCoICICgshFwPn9MTHAcBuQYWDm8/rHcXhmOMDMfJ5znvM9x8lgMBgQERERk8ts3QAREZGWRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJiRuEoIiJi... | <image>Find the perimeter of the polygon for the given information. C F = 6(3 - x), D B = 12 y - 4. | A | 6,197 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQoAAAECCAYAAAAGmJmkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | C | 6,198 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAENCAYAAADQYKqZAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth. | B | 6,199 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQsAAAGcCAYAAADONoWpAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Express the ratio of \tan Q as a decimal to the nearest hundredth. | B | 6,200 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAGjCAYAAACheSUJAABtAUlEQVR4nO39d3xc933n+7/O9MEUAIOpqOwUuyh2Ut2SbEvuiZzEcW9y7Gyak9z8sru/3Xv33pvd7GYdJ2s7imM7XseOux13W1an2CmKRewdZSra9HrO/ePMDACKkkAQIIDB5/l42CQBYXBIzJz3fL/fz/fzVTRN0xBCCCHEazLM9gUIIYQQ84EEphBCCDEJEphCCCHEJEhgCiGEEJMggSmEEEJMggSmEEIIMQkSmEIIIcQkSGAKIYQQkyCB... | <image>In H, the diameter is 18, L M = 12, and m \widehat L M = 84. Find m \widehat L K. | B | 6,201 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAHGCAIAAAAzFfzEAAB5Y0lEQVR4nO39d3DcV3Yv+u5f7pwb3UAjZ4IJzDknUTlQFCWN0sx4kse+PufcqnOrbnC99+rd865vXdvneDz2jGdGkVSmsihRpJgzSDAAJHJOjc65f/n90U0QkQRAAN0A1qdcKg4A0o0Gur+/vX57r4XJsowAAACAlMJT/QAAAAAASCMAAABpANIIAABA6kEaAQAASD1IIwAAAKkHaQQAACD1II0AAACkHqQRAACA1IM0AgAAkHqQRgAAAFIP... | <image>Find m \widehat C D. | C | 6,202 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAikAAADhCAYAAAANtyXuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Each triangle in the figure is a 45 - 45 - 90 triangle. Find x. | A | 6,203 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQsAAAGcCAYAAADONoWpAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Express the ratio of \cos Q as a decimal to the nearest hundredth. | C | 6,204 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAFMCAYAAAAp2tBzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the measure of m \angle K. | B | 6,205 | 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 = 34, find m \angle J P M. | D | 6,206 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAisAAAHUCAYAAAD7gmh5AADuyElEQVR4nOzddXxc55n3/88Z5hHDiGzLIDMzxeHESZqU27RNacuwvM9297e7T5ep+2y3DFtOIW3SMDlmZibZlsUwgpnRMJzz+2PGIzkxR5ZG0vV+vQIGSUeaM+d8z31f93UrmqZpCCGEEELkKN1IH4AQQgghxLVIWBFCCCFETpOwIoQQQoicJmFFCCGEEDlNwooQQgghcpqEFSGEEELkNAkrQgghhMhpElaEEEIIkdMkrAghhBAip0lYEUII... | <image>In \odot A, W X = X Y = 22. Find A B. | B | 6,207 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAEeCAYAAACDhwDJAAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find y. | A | 6,208 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOMAAAEJCAYAAABmJpAcAAAcgklEQVR4nO2deXxU5b3/38lkQgYSE8MA2SCBQAiLkEAAWa3Iq4oWLaBtfve6XL3Xtvqr0iv6q0sttffagvXW5V57VaqI2ltL1boUF35qRRGUxVDZAiGQjSwQQvZtMjP3j2GSASYzZ5JZzvJ9/5OT5Dk5z0zOe57l85xzono6q50IghBxoiNdAUEQXIiMgqASREZBUAkioyCoBJFREFSCyCgIKkFkFASVIDIKgkoQGQVBJYiMgqASREZBUAki... | <image>Find C D if A E = 8, E D = 4, and B E = 6. | D | 6,209 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAACvCAYAAAC/zhhAAAAW8ElEQVR4nO3da0CUZd7H8a8CEoqoIKGLR6TyAKImWkqrlaZWq6a1pR2MQnsqysjVWt0yO9iWlZWoW2FW2nk9ZLmeWqsNysCSYlRSBE3IJgQVgQEZnOeFgYOCAQFzz8zv84qZuRkuYOY3//s63c1sNpsNERGDae7oBoiIVEfhJCKGpHASEUNSOImIISmcRMSQFE4iYkgKJxExJIWTiBiSwklEDEnhJCKGpHASEUNSOImIISmcRMSQFE4iYkgK... | <image>find \sin R. | D | 6,210 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWEAAAE2CAYAAACwdCOYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x so that m \parallel n. | B | 6,211 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf0AAADfCAYAAAD83woBAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in the figure. | B | 6,212 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbEAAAEVCAYAAABuXdtJAAAz7UlEQVR4nO3deUDUdf7H8ScCKYiooBKJgorggeaFlkdaq5lmeXWsdm/Wdpe1um6ndq3pr7W7drVNa7VaV9Nqc1O3sFUz7wNDDhUN80BQEDmE4fv7Y2TkZgaBme/M6/HXyBx8UJzXfL7f9/f99jIMw0BERMSEGjl7ASIiIrWlEBMREdNSiImIiGkpxERExLQUYiIiYloKMRERMS2FmIiImJZCTERETEshJiIipqUQExER01KIiYiIaSnERETE... | <image>If K H is parallel to J I, find the measure of \angle 1. | C | 6,213 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAH9CAYAAADPtKJmAAC60UlEQVR4nOz9d3icaXrn937fSqhCKBQqIAOMyIzNTCKS7G6SHacnSjOa6dFII2nX9nrtXXt9fNbH17G9x17vruW1j+UNmjySZjTTmbGbiMypGUBEkmBCrIBQCJVf/1FgkewmmwlAoYD7c12tUYMIN9hA1V3Pcz+/R1FVVUUIIYQQT00FVFXlcc+gX/XEqgCKoqAo0f9fLA6KNFxCCCGEELNLE+8ChBBCCCEWOmm4hBBCCCFmmTRcQgghhBCz... | <image>\odot P is inscribed in equilateral triangle L M N. What is the circumference of \odot P? | B | 6,214 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgwAAAFXCAYAAADOJxamAACIVklEQVR4nOz9V3BkaZbg+f2vay0Bh9YyEFrrSJ2VmZVZsruqu6erR+3McI3GtaXRjLs0Dm1faEvj0mxf1mi7Q+5yunumVXV1icyqykodERlaS2itlcO1FpcP7oEAIoBQGRkBcX5W+YAoh/uF4+Le49853zmKqqoqQgghhBCPoHnZByCEEEKItU8CBiGEEEI8lgQMQgghhHgsCRiEEEII8VgSMAghhBDisSRgEEIIIcRjScAghBBCiMeSgEEI... | <image>Find x. | B | 6,215 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAC5CAYAAABOWHYGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary. | C | 6,216 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAIRCAYAAAARACp+AAD5oElEQVR4nOz9d3Sk55nfeX+fyqiEWBFA5wh0zt3MWaRIDamcKEqkwsx4xvY5s7bX67P2jmftdXjttdceeRRI5SySIkUxiSLZbLJzRqNzBlARsXJ8nvePKqDRCd2NRigA1+cc6RyAqKoHDVTVhfu+r+unaJqmIYQQQgghKopusi9ACCGEEEJcTYo0IYQQQogKJEWaEEIIIUQFkiJNCCGEEKICSZEmhBBCCFGBpEgTQgghhKhAUqQJIYQQQlQg... | <image>Q is the incenter of \triangle J K L. Find m \angle Q J K. | C | 6,217 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAFsCAYAAAAaDxRZAABYKklEQVR4nO3dd3iT57nH8a+2ZFvytuWB2WCzIRB29iIhk4xmN3unOR1p05Gm7elKT5O2gYTs1aaB7L1JmEkgELYxG+89JFtbes8fMhrGgA2W5/25rnOdGhwssPz+3ud57+e+VYqiKAghhBAxpO7pFyCEEKL/k7ARQggRcxI2QgghYk7CRgghRMxJ2AghhIg5CRshhBAxJ2EjhBAi5iRshBBCxJyEjRBCiJiTsBFCCBFzEjZCCCFiTsJGCCFE... | <image>Find x. | C | 6,218 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR4AAAC7CAYAAACzb/E/AAA3U0lEQVR4nO2dZ1hU19qGbxhQihiqgoICgoKCJSB2jWCJxhJbjomixiTGkmOKLc2SmKMm0VgSS9RPjy2J/cRgC9ZEsaFiVEBEuoB0aUOd+X6MIL3oDAzjuq+LH8zsmb32zOxnvetdb9EqyImVIxAIBHWIdn0PQCAQvHgI4RFoNAXxV9g0Zyoe7YYycs5uLsbn1feQBAjh0Sykd9g4ZgwzD0VRUN9jqSPyQ/czwWUmG29nln9SFs6BeWv5p8MM... | <image>Find m \angle E. | A | 6,219 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXQAAADKCAYAAAC11LviAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary. | B | 6,220 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAAFFCAYAAACuZisQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | A | 6,221 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAEGCAYAAADv3AawAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 1 = 50 and m \angle 3 = 60. Find the measure of \angle 2. | B | 6,222 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUkAAAD9CAYAAAAxpoV/AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find z. | D | 6,223 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfMAAAFUCAYAAAAwFtUdAAA5/klEQVR4nO3df2wb55kn8G8W3oMDxJo4t/nDP8hIsTdAvGTttnDtmooUF2t5JcG2sMneSjoFcrrYSK7qRN2tloAiNGqhClCcbNR4tZJcNJEQrcjFtreyDUmws2hsRXTtGmntkGcf0thRh3YMXA6Wxg5OOtRY3x/0jGaGP8QhZzgc8vsBioo0OZqIP555n/d9nveh+/fv3wcRERE51h/ZfQJERESUHQZzIiIih2MwJyIicjgGcyIiIodjMCci... | <image>Find the measure of \angle P. | A | 6,224 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAs8AAAFmCAYAAACSiXcMAACi+klEQVR4nOzddXhch5X38e8dZjGDZWaQIcxxwIEmhaRtyptym8K23eL23TLTtilv2pRCTdNAG2Y2yswgZhiGO/fe9487GklGyZZkST6f5+lu48aKIkszvzlzQDEMw0AIIYQQQghxQpbT/QkIIYQQQggxWUh4FkIIIYQQYpgkPAshhBBCCDFMEp6FEEIIIYQYJgnPQgghhBBCDJOEZyGEEEIIIYZJwrMQQgghhBDDJOFZCCGEEEKIYZLwLIQQ... | <image>Find x. | C | 6,225 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 8, b = 15, and c = 17, find \tan A. | C | 6,226 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAekAAAHkCAYAAAAaUNdJAACj+0lEQVR4nOz9d3hc15nn+3535Ywq5MwEgAnMUSIlUSSVLdmynN2WQ8sdZjrM9PQ5p+feM+c889w755yJt3t6poO7Hdq5bcmWZVuRpMQgipliJgESIBGrCkAVKue97x9VAMEMgAEF4P08jx4SFFDcBKr2r9Za77uWommahhBCCCGKjm6qL0AIIYQQNychLYQQQhQpCWkhhBCiSElICyGEEEVKQloIIYQoUhLSQgghRJGSkBZCCCGKlIS0EEII... | <image>Find x. | A | 6,227 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAecAAAGrCAYAAAD6l19DAABkc0lEQVR4nO3dd3iV9f3/8efZI3uTkAGZKEtQwQWKDHEC6rd2/Wprt1tbR/dQq10uHF22di/FVSdLUUEcIFOyWGFk77PX748cwhBCwJCcJK/HdXnJSMIhJOd57s/9ud+3IRKJRBAREZGYYRzoByAiIiIHU5xFRERijOIsIiISYxRnERGRGKM4i4iIxBjFWUREJMYoziIiIjFGcRYREYkxirOIiEiMUZxFRERijOIsIiISYxRnERGRGKM4i4iI... | <image>Find x. | C | 6,228 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaoAAAFpCAYAAADN82zsAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. | B | 6,229 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMAAAAC9CAYAAADlYHIYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the circle. Round to the nearest tenth. | C | 6,230 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAACzCAYAAAA+JFEQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. | C | 6,231 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACcCAYAAAB4BJfoAAAdZUlEQVR4nO2deVhTV/rHvxQQgiwSxKiAYFhciuCGSxXFjlqlCKgtbd1aW3SsS9WfxbHS0bbWjooLVqtdXGtra60KTqvjMhUHUQQXQBRkUVYVQ8JOiCz390fMJUHCGu4Szud5eJ57c89NXpL7Pe973rMZUBRFgUAg8IqX2DaAQCC0HiJcAoGHEOESCDyECJdA4CFEuAQCDyHCJRB4CBEugcBDiHAJBB5ChEsg8BAiXAKBhxDhEgg8xIhtA7hB... | <image>Find x. Assume that any segment that appears to be tangent is tangent. | A | 6,232 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPoAAAD7CAYAAABDsImYAAA6/0lEQVR4nO2de0BUZfrHPzgQFxEERURQARFR8YKKmlq6pdltxTQr3S5a5Lalbdbautlm7m8tyy0rrbayTCutvKR287alhZmK4AUREAVxEBEBuQ7IDPP7Y5zDzDAwAwzMGeb9/OMMc+bMceZ83/d5nvd5ntelpqZGi0AgaNd0sPcFCASC1kcIXSBwAlw7dBBaFwjaO0LlAoETIIQuEDgBri4uLva+BoFA0MqIGV0gcAKE0AUCJ0CY7gKBEyBm... | <image>In \odot X, A B = 30, C D = 30, and m \widehat C Z = 40. Find m \widehat A B. | D | 6,233 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAD6CAYAAAABSyXJAABvgklEQVR4nO3dZ3yUZ5rn+1/lXCpllTJCIDICITIY2zinds6xu2d2Ys/uzOzZs+Hs2d3P5+zMzmz3TM/sxO42znY75wg2mCyByBllVUklqaTKuZ7zosoCB2yCUOL6vjOWUKEKz/Xc1339b5WiKApCCCGEEGNEPd4PQAghhBBXFik+hBBCCDGmpPgQQgghxJiS4kMIIYQQY0qKDyGEEEKMKSk+hBBCCDGmpPgQQgghxJiS4kMIIYQQY0qKDyGE... | <image>Find m \angle 1. | C | 6,234 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAADLCAYAAADX/KDTAAAa7klEQVR4nO3dfVxUZd4G8AsBYZBAIUJkEAXEUlR8Gd+QwEoNPhamli26bha9WdRaYe76tFZGT8pu2kezzVB7SCnNFErFdFchAVN8lyJRUHQQRwIFkQEB5/kDmQB5P3PmnJm5vn/VzOHMPXq8uM/v3Of8rHQ6nQ5ERNQl3aQeABGRKWOIEhEJwBAlIhKAIUpEJABDlIhIAIYoEZEADFEiIgEYokREAjBEiYgEYIgSEQnAECUiEoAhSkQkAEOU... | <image>Find y. | C | 6,235 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWEAAADJCAYAAADyx4PgAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find x. | C | 6,236 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATgAAAEgCAYAAAAg+m+cAABDhklEQVR4nO29e1xTd57//3KMC9EIAmJUEJCboNGKEmoFi9Op150pinW6OlNbfkM7vdB23A7W0c5Yd6tfq9vpVJl2ttK16lZ706rreO26UKFVQaAlKveCBhWRIBEIjKH8/ojn5OQCBMhJzjl5Px8PH4/E5OR8yMl5fd6f9+d9GdLd3d0NgiAICfITdw+AIAiCL0jgCIKQLCRwBEFIFhI4giAkCwkcQRCShQSOIAjJQgJHEIRkIYEjCEKykMAR... | <image>Circles G, J, and K all intersect at L. If G H = 10. Find G J. | A | 6,237 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARwAAACuCAYAAADkgbIqAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. Round to the nearest hundredth. | C | 6,238 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAC8CAYAAAC9kUM2AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | <image>Find m \angle 1. | C | 6,239 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAzoAAAGTCAYAAADgPWe7AACqGElEQVR4nOz9VXRj6YG38T6SSbItMjPbxczkqqYw85dJZjKZDCSTpDvn6qyzzs25OWudiy/pJMOYzGQyk2TC2FhVLmYmsy0ziS3WPhdyV1V3F3aBbNf/d5V0GV5LtvZ+9O79vibDMAxEREREREQWEXOmByAiIiIiIvKwKXRERERERGTRUeiIiIiIiMiio9AREREREZFFR6EjIiIiIiKLjkJHREREREQWHYWOiIiIiIgsOgodERERERFZdBQ6... | <image>Find z. | C | 6,240 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADMCAYAAAA/IkzyAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region. Round to the nearest tenth. | B | 6,241 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAD2CAYAAAAj3nsdAAAT60lEQVR4nO3db2gcZ37A8Z8Tw8lw5/H6aoruqrUtHX1hdrlyIFqyqiw3YGOJu/NLyShIfdGLEydBEHIG1S8UsAXGpIjmkth5E4sYSdAXTVos40CIrWpDi2iasCJ90Sp2dmnE4SbyuCkWVLB9Ic94drXP7qy08+d55vt5tZbH5omsPN+d55mZ3VUul8sCAEANT0U9AABAfBEJAIASkQAAKBEJAIASkQAAKBEJAIASkQAAKBEJAIASkQAAKBEJ... | <image>If m \angle Z X W = x - 11 and m \angle W Z X = x - 9, find m \angle Z X Y. | B | 6,242 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAAC2CAYAAAAlQRNOAAAir0lEQVR4nO3de1zT9f4H8NcChMlNwDkRFOSioFO8gSYoZF77pSimleal0qwTajc8nvRkVprp+R0r7eRRPJp5OWqSWj/NS4oFpuAFFQG5CTrTORgwLgOZfH9/zH3ZBmNcvmNjez8fjx7t8t32HW6vfW7f95fHMAwDQghpxFOm3gFCiPmigCCE6EUBQQjRiwKCEKIXBQQhRC8KCEKIXhQQhBC9KCAIIXpRQBBC9KKAIIToRQFBCNGLAoIQohcF... | <image>Find \angle 10. | A | 6,243 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAG0CAYAAABaCzrbAACl80lEQVR4nOzddXRc17nG4d8wiJnRzMzsOHaYmfm2oSZNk0Kg4aYpBNo0TZo0DTOjmZmZxawRaxjO/WPGI8koK5It+J617lp3ddnyOJbOOd/Ze7+vSlEUBSGEEEIIIYRoZ+rT/QGEEEIIIYQQ3ZMMG0IIIYQQQogOIcOGEEIIIYQQokPIsCGEEEIIIYToEDJsCCGEEEIIITqEDBtCCCGEEEKIDiHDhhBCCCGEEKJDyLAhhBBCCCGE6BAybAgh... | <image>Find m \angle 3. | C | 6,244 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOgAAADLCAYAAABkkd/gAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the perimeter of the figure. Round to the nearest tenth if necessary. | B | 6,245 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAAC6CAYAAACwX8hMAAAiAUlEQVR4nO2de0DT5ffH34joYKKTe4A4LyTiJU0yJdQ0NVPDn4b9xLSSrmpZGV8vlZmZeQnNsCytNC9dfl9UEk3MG3lDLRTzgtoUURlyGRMc7CIyfn+sXWGwfdj2+Ww7r782eGAP7Nn7Oec855zH476yqA4EQRBW0oLtCRAE4ZyQeBAEwQgSD4IgGEHiQRAEI0g8CIJgBIkHQRCMIPEgCIIRJB4EQTCCxIMgCEaQeBAEwQgSD4IgGEHiQRAE... | <image>Find x. | D | 6,246 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAC1CAYAAAA+wtfcAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | <image>Find y in the figure. | C | 6,247 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApEAAAG/CAYAAAAAZYwQAAC/B0lEQVR4nOzdd3yddfn/8dd9n31yTvZOM7qSdBc6oFC6KCAbBEQUFVBxIyLD/RMHfgFFRURRFBRRNpS9uheFlu4m6czeOzn7nPv+/XFOT5LSkaRJm3E9Hw8c5TQ9Te5zf677M96Xouu6jhBCCCGEEH2gnu43IIQQQgghhh8pIoUQQgghRJ9JESmEEEIIIfpMikghhBBCCNFnUkQKIYQQQog+kyJSCCGEEEL0mRSRQgghhBCiz6SIFEIIIYQQ... | <image>Find H J. | C | 6,248 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOsAAAETCAYAAADXvPEVAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>The area A of the shaded region is given. Find x. A = 128 ft^2. | C | 6,249 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP4AAACqCAYAAACNifKwAAAY4ElEQVR4nO3da1hTV74G8JcahUBEiDKxAkIREDVYL6BtwcK0Wi9VQa066ujolHbOtGh1+mAdtQdt1arY1o6Oejp4UOul1XqdObVeZh6o4A0V0KgYEFFCFQNBIphQg5wPaTYJIVwSSPbO/v8+RdiBpeZde133cqmvr68HIYRXnnN0AQgh9kfBJ4SHKPiE8BAFnxAeouATwkMUfEJ4iIJPCA9R8AnhIQo+ITxEwSeEhyj4hPAQBZ8QHqLgE8JD... | <image>Find x. | D | 6,250 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAEACAYAAABlOdt4AAA7NklEQVR4nO3deVhUdfvH8TcBCYgoICBCCAoo4ooh4q5hPtpiWrm2WGmlPfXTSlvMrMyeykzbXErL3HLJLbc0c1cCFFREElAWQVQEZJFBYZjfHywisgw4wzAz9+u6uq4RzhlujZnPnO9yHxOVSqVCCCGE0KL7dF2AEEIIwydhI4QQQuskbIQQQmidhI0QQgitk7ARQgihdRI2QghRwepVqwgODtZ1GQZFwkYIISqY9cFMrl65ousyDIqEjRBC... | <image>Polygon A B C D \sim polygon A E F G, m \angle A G F = 108, G F = 14, A D = 12, D G = 4.5, E F = 8, and A B = 26. Find B C. | C | 6,251 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVoAAAENCAYAAABO2q05AAAmrElEQVR4nO3de0BUZf4/8DcOF0EEwRDRSZCbqOAFBU0wzFW7bIl5qc3dTDerXb/Y79dvF7fNWtfvrq3ltm5p7rbrpmlfq81rF93Kn2GCpiiQoCkXRUQBCZCLDLfhfP8YGYZxgJlhzpyZc96vvwY9B54m5805z3mez8dFEAQBREQkmn5SD4CISO4YtEREImPQEhGJjEFLRCQyBi0RkcgYtEREImPQEhGJjEFLRCQyBi0RkcgYtEREImPQEhGJ... | <image>Find F E if A B = 6, A F = 8, B C = x, C D = y, D E = 2 y - 3, and F E = x + \frac { 10 } { 3 }. | C | 6,252 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGjCAYAAABJ+ZAiAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Points S, T, and U are the midpoints of D E, E F, and D F, respectively. Find z. | B | 6,253 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUgAAADNCAYAAADaHunsAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. Round to the nearest tenth. | B | 6,254 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAFZCAYAAABdb8KzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the measure of m \angle C. | B | 6,255 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAECCAYAAACBhbLnAAA8g0lEQVR4nO3deVzU1f748RebgKyyCYKKICqkhmtGZrl102ua281uWlcrb+Vtp1LLNiutzKzftcVKLe22uH01y27uZuhVXEpEEsEB2TfZF2GY3x/jsCjLALPP+/l4+BCGz8wcls/n/Xmfc97n2NRUZqgQQgghrIStsRsghBBCGJIEPiGEEFZFAp8QQgirIoFPCCGEVZHAJ4QQwqpI4BNCCGFVJPAJIYSwKhL4hBBCWBV7rY9UVVGYmkJiShqZ... | <image>Find x. | B | 6,256 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASAAAADwCAYAAACgyrkbAAAZBElEQVR4nO3dfWDO9f7H8ed1trlZM+ZuhtxkmNyEGDFxinRzSqWTiFLKOSl11OHolHAc5SbpRs7PSZHEiSI3nZKVkZtQbtrYMMyMmZnZxm7arn1/f6DDZXdm1/X9Xtf1evw3u67Lx3Vde/pe3+/3/Z3NMAwDERET/M7sBYiI91KARMQ0CpCImEYBEhHTKEAiYhoFSERMowCJiGkUIBExjQIkIqZRgETENAqQiJhGARIR0yhAImIaBUhETONr... | <image>find \cos B. | A | 6,257 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAHSCAYAAACtnsGGAADM/0lEQVR4nOy9d3xc53mmfZ3pDW0KeiEJAgTAXkWKVK8kVazmJtuy4xJ3Zzeb3f129/ft5tuebLKxnbjGsWNHxSq2GqleqUaJvaARAEkAA2AqBtP7+f44gwFAUawg2rzXzzQJigDODM4593mf93nuW5JlWUYgEAgEAsGMoZrtAxAIBAKBoNAQ4isQCAQCwQwjxFcgEAgEghlGiK9AIBAIBDOMEF+BQCAQCGYYIb4CgUAgEMwwQnwFAoFAIJhh... | <image>In \odot F, find m \widehat A E D. | D | 6,258 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhoAAAGRCAYAAAAjJhqgAACsf0lEQVR4nOz9d3ic53Xve3+n94IyqIPCBvYG9k6K6pLVi9Usybbck9hJdnZ29jnnfc/uyU6cxNtO3CVbxZKsYvVGir0T7L2izaCX6X2e88eAINhBEh3rc13OdSnCzDwDDWbW3Pe6f0ulKIqCEEIIIUQ/UA/2BQghhBBi5JJCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFEv5FCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFE... | <image>Find m \angle 7. | D | 6,259 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAHFCAYAAACn7hC1AADBhklEQVR4nOydd3xb9fm2r6O9ZXnb8bZjO3sQSCAQAklIIGGUWQrdiwJt3+6WUrpbStePtkChm1koGxJGQkIghCyyh/fe25a1x3n/kCxLznIcO7Gd7/Upn9ipI9uSzjn3eZ77uR9JlmUZgUAgEAgEghGgONs/gEAgEAgEgomLEBICgUAgEAhGjBASAoFAIBAIRowQEgKBQCAQCEaMEBICgUAgEAhGjBASAoFAIBAIRowQEgKBQCAQCEaMEBIC... | <image>Find m \angle T. | C | 6,260 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAADSCAYAAACVfw/XAAAeOUlEQVR4nO3de1hU5doG8BuBEEQUFNkGKchB1FGURHcbj4WHTPGUmpqVqe36wtLtVvsyN1pWatttpal5wtOnqYmn8mx5wFLAI5iKqKjDJkQGRWBABtb3BzLCADozzJq1Zub+XVd/DDAzrzTerrXeZz2PnSAIAoiIRFRH6gUQkfVj0BCR6Bg0RCQ6Bg0RiY5BQ0SiY9AQkegYNEQkOgYNEYmOQUNEomPQEJHoGDREJDoGDRGJjkFDRKJj0MjY... | <image>Find x. | A | 6,261 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAigAAADvCAYAAADYfy+gAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary. | D | 6,262 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASwAAAD4CAYAAABWpdv4AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle Z to the nearest tenth. | B | 6,263 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR4AAAC7CAYAAACzb/E/AAA3U0lEQVR4nO2dZ1hU19qGbxhQihiqgoICgoKCJSB2jWCJxhJbjomixiTGkmOKLc2SmKMm0VgSS9RPjy2J/cRgC9ZEsaFiVEBEuoB0aUOd+X6MIL3oDAzjuq+LH8zsmb32zOxnvetdb9EqyImVIxAIBHWIdn0PQCAQvHgI4RFoNAXxV9g0Zyoe7YYycs5uLsbn1feQBAjh0Sykd9g4ZgwzD0VRUN9jqSPyQ/czwWUmG29nln9SFs6BeWv5p8MM... | <image>Find m \angle B. | D | 6,264 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR0AAAFqCAYAAAAnTY4CAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Solve for x in the figure. | C | 6,265 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATwAAAD5CAYAAAC6V4m1AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary. | B | 6,266 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAM8AAAC2CAYAAAB+rNlWAAAiwklEQVR4nO2de1xUdf7/nwYmIIKghAYIIiLomGIOWGKYm5f6lpZuF91u7tJda6ul+uZ28fFNf6bb10xrHyWtla1WpmYX81ZpwX4V8JajCAIiDOpIgCAyIIPn98d0xmEYbsMMcw58nv/BDGc+nDmv8/l8Xud96SFJkoRAIGg3V7l7AAKBWhHiEQgcRIhHIHAQIR6BwEGEeAQCBxHiEQgcRIhHIHAQIR6BwEGEeAQCBxHiEQgcRIhHIHAQIR6B... | <image>If m \widehat B C = 30 and A B \cong \widehat C D, find m \widehat A B. | A | 6,267 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV4AAADkCAYAAADQDUy9AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the side measure to the nearest tenth. | D | 6,268 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAEGCAYAAAAzP80zAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>What is the length of E F? | C | 6,269 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUQAAADoCAYAAACXQ53nAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | B | 6,270 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfAAAAFcCAYAAAA3cuxzAAB270lEQVR4nO3dd3jb5fX38fdXe1je247jEe+EkMEKM4yQQIEOyipQuuevpXtQSinQ9umme1I2tNAWKCshQAJhZ5DhFccz3tuSrK2vnj+kyHYWdmLHln1e15UGQuIqtqWP7vs+9zlKKBQKIYQQQoiYopnpByCEEEKIyZMAF0IIIWKQBLgQQggRgyTAhRBCiBgkAS6EEELEIAlwIYQQIgZJgAshhBAxSAJcCCGEiEES4EIIIUQMkgAXQgghYpAE... | <image>The segment is tangent to the circle. Find x. | C | 6,271 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO8AAACqCAYAAABF5RhmAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,272 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAEaCAYAAABAadHGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y. | B | 6,273 | null | B |
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