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": "iVBORw0KGgoAAAANSUhEUgAAARIAAACaCAYAAABlo8ciAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the perimeter of the figure. Round to the nearest tenth if necessary. | A | 5,874 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEGCAYAAACgt3iRAAAqiklEQVR4nO3df1xUdb4/8JcxBKOIguGo4E9Q0CBFQU0wvN3Qfq2kVm5uWt7IvbewvW6r62atufdb1/S2bsr2S3atbHXL/LW1m25tSYmlEKiMisgvYQCRgBh+DMSM8/0DGYcBZoAzZ+acM6/n47GPJTzIR5gz7/M+7/N5vweYzWYziIiIBLjJ3QsgIiL5YzAhIiLBGEyIiEgwBhMiIhKMwYSIiARjMCEiIsEYTIiISDAGEyIiEozBhIiIBGMw... | <image>In quadrilateral A B C D, A C = 188, B D = 214, m \angle B P C = 70, and P is the midpoint of A C and B D. Find the perimeter of quadrilateral A B C D. | C | 5,875 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdUAAAHRCAYAAAA8KCPhAACaQklEQVR4nOzdd3xV9fnA8c85d6/svYAQIGEKgiCKe+Oue49qq1XraK3Wau3PbW3Vauusq+69N6CoqOydhCQQsve4e57z++OGm8GQkXFv8n2/XraOEC4395znfJ/v830eSVVVFUEQBEEQ9pk81C9AEARBEIYLEVQFQRAEoZ+IoCoIgiAI/UQEVUEQBEHoJyKoCoIgCEI/EUFVEARBEPqJCKqCIAiC0E9EUBUEQRCEfiKCqiAIgiD0ExFUBUEQ... | <image>Find m \widehat T S. | D | 5,876 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAEKCAYAAABE/Q1IAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded figure in square inches. Round to the nearest tenth. | C | 5,877 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoIAAAIECAYAAACNGU/QAADTdElEQVR4nOzdd3icZ5X38e8zvUtT1HtzLym2Y6c6cXovBAKh12VZFlgW2KXussDCwlJ2eVl6TUIa6d1Oc+zYce9NsnqXZiRN78/7x6i6V9XzuS5jEPJ4ZI2e+T3nvs+5FVVVVYQQQgghxIyjmegnIIQQQgghJoYEQSGEEEKIGUqCoBBCCCHEDCVBUAghhBBihpIgKIQQQggxQ0kQFEIIIYSYoSQICiGEEELMUBIEhRBCCCFmKAmCQgghhBAz... | <image>Find m \angle F. | B | 5,878 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAzwAAAF9CAYAAADBbW0OAABp20lEQVR4nO3df1RVZd4//Lc3N66VLZR54ICJKI1yVDDzKxwUUrv9hcDUGGOSZaGFTlZjmTqa3nCzuGH8lZlFP5wUU4oiHMZ8alDB9B4lRA/wGIoK1AQHD6nAd4C+1Frx9PD8QZxhn73P71/7bN6vtVyLvdlnn0vEc+3P9bmuzzWsr6+vD0RERERERAr0b55uABERERERkasw4CEiIiIiIsViwENERERERIrFgIeIiIiIiBSLAQ8RERERESkW... | <image>Find y in the parallelogram. | A | 5,879 | null | A |
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{
"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 q. | C | 5,880 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD6CAYAAACvZ4z8AAA6fklEQVR4nO3de1zO9/vA8VerKHIoklaUQ86HOcSIsS0sNsKcYsMPc5ph5jC1mTlsDtFO2DBsyjDGDlr03bRJ1HKMqBBqRO5I647K/fsjpfNJ3cfr+Xjs8eh797k/99v2dfXu+lzv6zJSqVQqhBBC6K1nNL0AIYQQlUsCvRBC6DkJ9EIIoeck0AshhJ6TQC+EEHpOAr0QQug5CfRCCKHnJNALIYSek0AvhBB6TgK9EELoOQn0Qgih5yTQl8Oq... | <image>If x = 7 \sqrt { 3 }, find a. | C | 5,881 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAFdCAYAAAAE1HuVAACXu0lEQVR4nOzdd3zV9b3H8dfv7JlxsheEkbD3UEEEFHBWravLau26HXba3d577V622t3b5a51W1dFtgiIICPsJAQIkD3PXr/f7/5xTk4SSACRleTzfDy8XOhJOCQ557zP9/cZiq7rOkIIIYQQQgxRhvN9B4QQQgghhDifJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQogh... | <image>Find x. | A | 5,882 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP4AAACNCAYAAACXIMc+AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>What is the perimeter of the triangle shown below? Round to the nearest tenth. | C | 5,883 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIsAAAEeCAYAAAC6xea7AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round side measure to the nearest tenth. | B | 5,884 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaAAAAFvCAYAAAAMiB84AABeGElEQVR4nO3ddXzd5fn/8dfnuMZdK2mkqUPRFqe4jrHBBJgzBnNmzGD6Y/uywWDGBtsYg7Ehw4uWtkBbKtTibZrGXY7b5/fHOTk5KWmbtElO5Ho+Hjxot8ohct6f+76v+7oUVVVVhBBCiEmmifcLEEIIMTtJAAkhhIgLCSAhhBBxIQEkhBAiLiSAhBBCxIUEkBBCiLiQABJCCBEXEkBCCCHiQgJICCFEXEgACSGEiAsJICGEEHEhASSEECIu... | <image>Find m \widehat J K. | C | 5,885 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAD6CAYAAABQxakeAAAmoUlEQVR4nO3dfVxUdd438A/rIIwiCIijgoKAiDoaGpguGNbmU3mL4GqrW5kr9cpCr3W78faVXWu2t10qlbtiu+2GUVZ2m4FSrg/ZlpSUAgrapIgDggzohAwyPAwTY3P/MZ7DGZ7n8Zwz833/NQjCTzznM7/H7/EwGo1GEEKIBX7FdwMIIeJDwUEIsRgFByHEYhQchBCLUXAQQixGwUEIsRgFByHEYhQchBCLUXAQQixGwUEIsRgFByHEYhQc... | <image>Find x. Round to the nearest tenth, if necessary. | D | 5,886 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoEAAAGTCAYAAABXpci1AACJF0lEQVR4nOzdZZgcZdbG8X9V+7i7xokTTwhJiOHu+uKwyLLA4oEQ3JYFFl3c3S3uISHunrFkMu7SWlXvhxk6YYlMJuNzftfFlyGT6el0V991nuc5RzEMw0AIIYQQQnQqams/ACGEEEII0fIkBAohhBBCdEISAoUQQgghOiEJgUIIIYQQnZCEQCGEEEKITkhCoBBCCCFEJyQhUAghhBCiE5IQKIQQQgjRCUkIFEIIIYTohCQECiGEEEJ0QhIC... | <image>Find x. | C | 5,887 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAj0AAAIfCAYAAACb9W08AADe30lEQVR4nOzddXTb+Z7f/6fQkm1ZYGaGMDPzZBjunYtzYS/fu3vvQrfbX7vbdttu2227uxd2LzPfucOcmUwmnEyYzcwkS7LF8P39IRniODNJxkkc+f04JyexIsmKI0svf+ilUhRFQQghhBAizqnv9gMQQgghhLgTJPQIIYQQYlaQ0COEEEKIWUFCjxBCCCFmBQk9QgghhJgVJPQIIYQQYlaQ0COEEEKIWUFCjxBCCCFmBQk9QgghhJgVJPQI... | <image>P is the incenter of \angle X Y Z. Find m \angle L Z P. | D | 5,888 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARwAAAEXCAYAAAB/M/sjAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the measure of x. | A | 5,889 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWIAAADWCAYAAADrcIitAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | C | 5,890 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUMAAAEBCAYAAADio8dgAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the blue region. | B | 5,891 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAAD/CAYAAAANFkjqAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMdgyCCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrtzABEu26Fk/925YfbBx32FM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In \odot K, M N = 16 and m \widehat M N = 98. Find the measure of L N. Round to the nearest hundredth. | C | 5,892 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATAAAAETCAYAAACxw1prAAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary. | D | 5,893 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAGjCAYAAAD0GMZXAACT2klEQVR4nOzddXTU19bG8e9YJhN3T0gCEdydFilaNyrUhba3btSFuru7t0DdkAKlFHe3uLvLZHzuHwk/QgUChcwk2Z93sd4VLklOmpl55pyzzz4qp9PpRAghhBDtSu3qAQghhBBdkQSwEEII4QISwEIIIYQLSAALIYQQLiABLIQQQriABLAQQgjhAhLAQgghhAtIAAshhBAuIAEshBBCuIAEsBBCCOECEsBCCCGEC0gACyGEEC4gASyEEEK4... | <image>What is the area of the shaded region if r = 4. | C | 5,894 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZIAAADbCAYAAABHohfqAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHwA/E4onJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzJKwP7SmjtmnLtPjr/HhLU5mmOpRAFdKanEykP4DxOnJBUUlDAyMKUC2cnlJAYjdAWSLFAEdBWTPAbHTIewNIHYShH0ErCYkyBnIvgFkCyRnJALNYHwBZOskIYmnI7Gh9oIAr4urj49CsKuRuaGl... | <image>Find the value of the variable y in the figure. | A | 5,895 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAGICAYAAABGJ/YJAACiN0lEQVR4nOzddZxc9dXH8c+947buG9u4CyG4Q3B35wHaQnEpVkqhFGiLFdri7k5xS4DiAULcQ7LZyGZdx2fuvc8fM7M7q8kmm6yd9+u1xJbkrszMd86c3zmKYRgGQgghhBBCDFBqT1+AEEIIIYQQPUkCsRBCCCGEGNAkEAshhBBCiAFNArEQQgghhBjQJBALIYQQQogBTQKxEEIIIYQY0CQQCyGEEEKIAU0CsRBCCCGEGNAkEAshhBBCiAFN... | <image>Find x. | C | 5,896 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZcAAADVCAYAAACbgb3eAAAkFUlEQVR4nO3de1iVVfr/8TdtUFBEAQkdUVEJNbEwQU0ddcpjJ8rDWDaZltNMB6es9OeYfctKx6TGKVNrsjFt0spEURtPTWkBU6JiiaIEigIZEiCIbJCN+/cHQXjgIGzYp8/ruvqjePbmNmHfz1rPWp/lYjabzYiIiFjQNdYuQEREHI+ai4iIWJyai4iIWJyai4iIWJyai4iIWJyai4iIWJyai4iIWJyrtQsQEXtkxnTmOPvjYomLi2f/vjji... | <image>Find y. | C | 5,897 | null | C |
[
{
"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 scale factor of trapezoid A B C D to trapezoid A E F G. | A | 5,898 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEBCAYAAACqkNjgAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary. | A | 5,899 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQsAAACrCAYAAABxPrkIAAAPxklEQVR4nO3df1hV9R0H8DcLhSsECdFNgSRgiI00NrE9genT1PxB8muuR1arTXKu1EfncE4qraZRWLZ0zjWc1ZrNOXCwlQntGRZsTjAxb5MQGOrl2e5IBIYCBt39ceN4L5Ic773nnO85vF9/HS6Xc7/y6Ntzvp/z/Xx97Ha7HUREw/iS1gMgIn1gWBCRLAwLIpKFYUFEsjAsiEgWhgURycKwICJZGBZEJIvXw6LKYoO19YK3T0tEGvN6WEy6... | <image>Find x. | B | 5,900 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXIAAADVCAYAAABKSnvrAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>If G H \cong H K, H J \cong Y K, and m \angle G J K = 100, what is the measure of \angle H G K? | C | 5,901 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT0AAAEGCAYAAAAXJkLzAAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find x. Round the angle measure to the nearest degree. | B | 5,902 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAD6CAYAAAAIoIWzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the triangle. | C | 5,903 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAocAAAEvCAYAAAA3s2v8AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 4 if m \angle 4 = m \angle 5. | A | 5,904 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAEPCAYAAAB4Ns7+AABPl0lEQVR4nO2deViU5feHbzbZFQEVARXBBXHJBbUQNUErTTHXtDTTLMvKcinTMjNbzNTKfuVWLmXp1zWXMnPLDTXXXJBEEBAEEZB9EWbm98c4wwzrALMx89zX5dXQvAPPzLzzmfOe55zPsSguuCNDIBAIBAbD0tALEAgEAnNHCLFAIBAYGCHEAoFAYGCEEAsEAoGBEUIsEAgEBkYIsUAgEBgYIcQCgUBgYIQQCwQCgYERQiwQCAQGRgixQCAQ... | <image>Find m \widehat Y C. | B | 5,905 | null | B |
[
{
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAikAAAHnCAYAAAB9mc1HAAC5ZUlEQVR4nOzdd3hc9ZXw8e+d3tQ16s2qrtjGxgYbN0xvAUJNIQkJm2xCsiEhvWw2vUBCSEjveRMg9E6CcQHbuIG7ZTWr9y5Nb/f9Y8YjyVW2ZWkknc/zZClr7JE0c++553eKoqqqihBCCCFEjNFM9AsQQgghhDgRCVKEEEIIEZMkSBFCCCFETJIgRQghhBAxSYIUIYQQQsQkCVKEEEIIEZMkSBFCCCFETJIgRQghhBAxSYIUIYQQQsQkCVKE... | <image>Find x. | A | 5,907 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAIRCAYAAACbA3F6AAD5fElEQVR4nOz9d3Dc533+/b63916ARWVvYBO7KLFKsnq3bLnGLYmdxI6785tz5syZZ+Y8T+JYbilO3GM7kmXL6r2xiBRFUuwEe0Mvu4vtvXzPHwuCDZRIkCBRPq8ZjUQIXCx2F4tr7/3c161SFEVBCCGEEEIIcdWpr/cVEEIIIYQQYqySsC2EEEIIIcQwkbAthBBCCCHEMJGwLYQQQgghxDCRsC2EEEIIIcQwkbAthBBCCCHEMJGwLYQQQggh... | <image>If J, P, and L are the midpoints of K H, H M and M K, respectively. Find y. | C | 5,908 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXwAAADjCAYAAACGoK/oAAAZGElEQVR4nO3db2gb6Z0H8O92F+rlrp54j6WXK5rYSdoXQbouW/JmR2fHd5BgmWTTVycZp/a+WTvrDZejuALFUAe8Bq3p4TbnRM6bxBdj6dWR3cUyCRybuNZSCJf+mSEvtknsjGhD2TbO5ApxwTT3Qp6JZEuWbGk0M3q+Hwhkx4r1eKXn65+e+c0zr7x48eIFiIio4X3N6QEQEVF9MPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATBwCciEgQD... | <image>Quadrilateral A B C D is a rectangle. m \angle 2 = 40. Find m \angle 6. | B | 5,909 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdcAAAGnCAYAAADlph0AAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>In the figure, m \angle 11 = 62 and m \angle 14 = 38. Find the measure of \angle 6. | A | 5,910 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWMAAAEXCAYAAAB4cSU2AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. | C | 5,911 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV... | <image>Use parallelogram M N P R to find z. | A | 5,912 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdEAAADTCAYAAADefCkkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x so that p \parallel q. | B | 5,913 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmEAAAEHCAYAAADmsJGRAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find the perimeter of quadrilateral A B C D. | B | 5,914 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQAAAAD1CAYAAAC/Wit4AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMSgwiCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrL0vkkSmTXnwxezN+q1rZI9jqkcBXCmpxclA+g8QpycXFJUwMDCmANnK5SUFIHYHkC1SBHQUkD0HxE6HsDeA2EkQ9hGwmpAgZyD7BpAtkJyRCDSD8QWQrZOEJJ6OxIbaCwK8Lq4+PgrBrkbm... | <image>Find x. | B | 5,915 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASgAAAEeCAYAAAA5JIipAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find x. | B | 5,916 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhEAAAHfCAYAAADulIpLAACPCElEQVR4nOzdd3hb53n///fB3tx7itp7y0PeOztx9mxWm9U07Tcd6e6vTUfSNE2bthnNTprh7MRJHC/ZlizZlkTtSXHvCWKPA5zz+wMgCFKUREkUSYD367p8aVg6AiUA54PnuZ/7VnRd1xFCCCGEuEqGhX4AQgghhMhNEiKEEEIIcU0kRAghhBDimkiIEEIIIcQ1kRAhhBBCiGsiIUJkyEEdIYQQV0NChBBCCCGuiYQIAcgqhBBCiKsnIUJk... | <image>Find m \angle P. | B | 5,917 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO0AAACUCAYAAAB/YK6GAAAVNklEQVR4nO3deVxVdf7H8dcVUFHERBFLEATEJewnJtgo5lKKO26NY/0mtfzZ4lLqyDjWw8wRN2pcmKYmnciZ1F+LC+pP3H6mCabilpACgmKixijb9cK9yIUzfwBXUFT2y7n38/wvOPfeL8abc8738z2fr0ZRFAUhhGo0MvcAhBBVI6EVQmUktEKojIRWCJWR0AqhMhJaIVRGQiuEykhohVAZCa0QKiOhFUJlJLRCqIyEVgiVkdAKoTISWiFU... | <image>Find x. | D | 5,918 | null | D |
[
{
"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 y. | D | 5,919 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEQCAYAAACugzM1AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find x. | B | 5,920 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVoAAAENCAYAAABO2q05AAAmrElEQVR4nO3de0BUZf4/8DcOF0EEwRDRSZCbqOAFBU0wzFW7bIl5qc3dTDerXb/Y79dvF7fNWtfvrq3ltm5p7rbrpmlfq81rF93Kn2GCpiiQoCkXRUQBCZCLDLfhfP8YGYZxgJlhzpyZc96vvwY9B54m5805z3mez8dFEAQBREQkmn5SD4CISO4YtEREImPQEhGJjEFLRCQyBi0RkcgYtEREImPQEhGJjEFLRCQyBi0RkcgYtEREImPQEhGJ... | <image>Find C D 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 }. | A | 5,921 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfAAAAEkCAYAAADQA2PfAABHQklEQVR4nO3deUBU9frH8fc4oEKIgCKLCKLsKiquiVultriWaWVllua92XLzlv4sc6tbV3MvtWuZWpqV5pbmUua+ooKCgGyCiKIimyCCMMzvD1AHZBlwYGaY5/UXwpmZLzJzPud8z/d5jkKtVqsRQgghhFGpp+8BCCGEEKLqJMCFEEIIIyQBLoQQQhghCXAhhBDCCEmACyGEEEZIAlwIIYQwQhLgQgghhBGSABdCCCGMkAS4EEIIYYQkwIUQ... | <image>Find E C. | A | 5,922 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAADKCAYAAAC/iBWwAAArbUlEQVR4nO2de1xT993HP0gQgsglggFBiIiINlqo4GXq4Olq1c4WxWmrrbcV27W17eM6fJx2c302ra11Ppu2tSt9rNrq1Mdb21Wt3YpVpxVatUZFQOQSlBgMEC7hEuD5I56TEwiQy0lyEr7v16uvnsSTk0OS8znf3/fq1dHR0QGCIAgL6efqEyAIwr0g0SAIwipINAiCsAoSDYIgrIJEgyAIqyDRIAjCKkg0CIKwChINgiCsgkSDIAirINEg... | <image>Find the exact circumference of the circle. | C | 5,923 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAEGCAYAAADv3AawAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 1 = 50 and m \angle 3 = 60. Find the measure of \angle 7. | A | 5,924 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO0AAADxCAYAAAAnWTBvAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth. | A | 5,925 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAakAAAEECAYAAACSrstrAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMOgzGCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsispa5rDt76Y9YZX8W9oqpMpx5TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find y. | D | 5,926 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUkAAAD9CAYAAAAxpoV/AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. | D | 5,927 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAHMCAYAAAAkkUYaAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMOgzGCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsispa5rDt76Y9YZX8W9oqpMpx5TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find z. | D | 5,928 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAFaCAYAAADowK8UAAA3eElEQVR4nO3df1gUV5ov8NdxyIxxxd4A0UAgjA6NCtEM2ASQOBsNRL3JqOvIkBjxB5rrZgfjKrozPnLzuBgzk6iPkUnGjeIPErMGx2ucyUYlUe8YAoSWjBIQgTWLtBCJkDQw6sZel/sHdMOpqqZ/VXdVnfp+/koVdHGeJPCeOue87zust7e3lwAAAEDTvqf0AAAAAMB3COgAAAAcQEAHAADgAAI6AAAABxDQAQAAOICADgAAwAEEdAAAAA4g... | <image>A B C D is a rhombus. If E B = 9, A B = 12 and m \angle A B D = 55. Find C E. | A | 5,929 | null | A |
[
{
"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 x. | A | 5,930 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP8AAADlCAYAAACcRSE3AAAmUklEQVR4nO2da1xTV9bGH2pQghG5iBFBoYCIGq0ooB2w2o73WvEy2qkztTqlvrVaHceX1lfbqZ0ZHavTsa3WdlpaKr39Wipe6mi11gGFqqCCGhW5iRpUyh2BEAnm/ZDJyQkkEJKT5CRn/T8dSEg2J3n2XnvtvZ/lptFoNCAIQnA85OgGEAThGEj8BCFQSPwEIVBI/AQhUEj8BCFQSPwEIVBI/AQhUEj8BCFQSPwEIVBI/AQhUEj8BCFQSPwE... | <image>Find y. Round to the nearest tenth, if necessary. | D | 5,931 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQkAAAFJCAYAAACIMNgIAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMjAxsCTmFxc4BgQ4ANUwgCjUcG3a0CVQHBZF2TWRJmS68tu+iVtvr82o0rqYCSmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>If T U \perp U V and U V \perp V W, find m \angle 1. | A | 5,932 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWYAAADFCAYAAABn2VjiAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the triangle. Round to the nearest tenth if necessary. | A | 5,933 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAAD4CAYAAADLqNJwAAAlmElEQVR4nO3de0DN9/8H8GerxrGGDi0UxQrRVnPJF2323TdULlGu5RLKJWyzFKvTfFHmlvgil3KvGGrZpkjbb7bMXEZhtalZ6IyGExanKOf3R85R6f4553xur8d/53TO6e3Ss/fn/fq8X28DlUqlAiGENNErbA+AEMJvFCKEEEYoRAghjFCIEEIYoRAhgjZy+odsD0HwDKg6QwhhgmYihBBGKEQIIYxQiBBCGKEQIYQwQiFCCGFE1CGSm5uL... | <image>Find x. | D | 5,934 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASEAAAEACAYAAAD87cCIAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 5,935 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUEAAADrCAYAAAD3/iQNAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of c to the nearest tenth. Assume that segments that appear to be tangent are tangent. | A | 5,936 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAocAAAEvCAYAAAA3s2v8AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 2 if m \angle 4 = m \angle 5. | B | 5,937 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm0AAAHVCAYAAACjesw7AAB+YUlEQVR4nO3dd3hU55k28PtM7+pdQhSBRBHFgAvGNrj3uCZ2XOIk6yT2pm02yW7aZr/0xOk92SSOHXcbsHHHxoBtbGwDBgmQEGqoa0Yalelz2vfHjGZGMhg1pBnp/l0Xi2FBEdLMOfd53/d5HkFVVRVERERElNQ00/0JEBEREdGpMbQRERERpQCGNiIiIqIUwNBGRERElAIY2oiIiIhSAEMbERERUQpgaCMiIiJKAQxtRERERCmAoY2IiIgo... | <image>Find m \angle A B D. | B | 5,938 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOUAAADHCAYAAADmrZQrAAAeIElEQVR4nO2de1yUdb7HPzAgl+EycldQJtBC1MIYLVmzNHW9IB433Zcm5mUr0/ZYeajcs8fa9HW2OrltsZtmp9Va8dQuFGWmrte8xJaBkhd0JXDEARGGcWCAmXFkOH+MzzMXhstcn2fm+b7/msEBfzw8n+f3/X1+39/3G3Bb19ANgiB4QyDXAyAIwhoSJUHwDBIlQfAMEiVB8AwSJUHwDBIlQfAMEiVB8AwSJUHwDBIlQfCMIK4HQAgJI3Qt... | <image>Find m \angle 1. | B | 5,939 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAtQAAAGSCAYAAADDxFYcAACE5klEQVR4nOzdd5ycdbn//9c9vexsr9mSXjaVNFog9N6LKCqIYkGxgKAePed7jqd4/B1FsKKiIlVEpXekJAQSSO+9bu99+sx9//7YzRZIQrK7Kbv7fj4e/iGEZUhm7nnf1319rsuwLMtCRERERET6xXa8X4CIiIiIyFCmQC0iIiIiMgAK1CIiIiIiA6BALSIiIiIyAArUIiIiIiIDoEAtIiIiIjIACtQiIiIiIgOgQC0iIiIiMgAK1CIiIiIi... | <image>If Q R = 2, X W = 12, Q W = 15, and S T = 5, find W V. | B | 5,940 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApYAAAIhCAYAAAD0PfrHAAEAAElEQVR4nOzdZXRc97Ww8ecMs5jZtiwzY+I4ie0wM7VJuWl7294y3r5tbxluMW3alNNgw5wY48QUM0u2LGbWMJ7zfhh5LMeWUbbA+7dWlpcdSxqNxnP22f8NiqZpGkIIIYQQQpwl3VA/ACGEEEIIMTpIYCmEEEIIIQaFBJZCCCGEEGJQSGAphBBCCCEGhQSWQgghhBBiUEhgKYQQQgghBoUElkIIIYQQYlBIYCmEEEIIIQaFBJZCCCGEEGJQ... | <image>Find m \angle C. | D | 5,941 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbEAAAEVCAYAAABuXdtJAAAz7UlEQVR4nO3deUDUdf7H8ScCKYiooBKJgorggeaFlkdaq5lmeXWsdm/Wdpe1um6ndq3pr7W7drVNa7VaV9Nqc1O3sFUz7wNDDhUN80BQEDmE4fv7Y2TkZgaBme/M6/HXyBx8UJzXfL7f9/f99jIMw0BERMSEGjl7ASIiIrWlEBMREdNSiImIiGkpxERExLQUYiIiYloKMRERMS2FmIiImJZCTERETEshJiIipqUQExER01KIiYiIaSnERETE... | <image>If K H is parallel to J I, find the measure of \angle 2. | B | 5,942 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAADRCAYAAAANDo+PAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>If P Q \cong Q S, Q R \cong R S, and m \angle P R S = 72, what is the measure of \angle Q P S? | A | 5,943 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAIcCAYAAACUz/UKAACg3klEQVR4nOzdd3ib53X38e+DTRKLA9xbey9rS96WV+LYcTzi7TjObtqmSfp2p/Ptm6RNmzbDie14Ox5JbMd7SLa1916UxE0C4AAIgCCJ+bx/AASpZZMUxXk+1+XksixBkAji4Nz3uX+3oqqqihBCCCE+lWa0n4AQQggxXkjRFEIIIQZIiqYQQggxQFI0hRBCiAGSoimEEEIMkBRNIYQQYoCkaAohhBADJEVTCCGEGCApmkIIIcQASdEUQggh... | <image>In \triangle C D F, K is the centroid and D K = 16. Find F G. | D | 5,944 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAADPCAYAAAAJbE9HAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>One side of a square is a diameter of a circle. The length of one side of the square is 5 feet. To the nearest hundredth, what is the probability that a point chosen at random is in the shaded region? | C | 5,945 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAFSCAYAAADSAIrtAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>In the figure, \triangle A B C is isosceles, \triangle D C E is equilateral, and \triangle F C G is isosceles. Find the measure of the \angle 2 at vertex C. | C | 5,946 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD2CAYAAADGbHw0AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 5,947 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALwAAACmCAYAAABgBOVWAAAaPElEQVR4nO2dfUCT5frHv8QUBwMBRSRAEBVI5wsGZIJintQsU9KjHbUyf+HpVGJaoan1M8/JXqSO+VopHUtLT/qTpDqWySkxKAUTlaXImyhDnJPxNhiL4X5/rGeOtY2xPa/b/fkPNraL5/k+133d933d1+Wh1+v1IBDchDu4NoBAYBMieIJbQQRPcCuI4AluBRE8wa0ggie4FUTwBLeCCJ7gVhDBE9wKIniCW0EET3AriOAJbgURPMGtIIIn... | <image>Find x. Assume that segments that appear to be tangent are tangent. | A | 5,948 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeQAAADkCAYAAABJ2VdNAAAis0lEQVR4nO3de1xVdb7/8RcCIkqgmIKKVy5e0iYvaAqGx1/WWCmlWZNNTc04NeNoZ5pJp3I61WNO5Uh2Ga2mEyfNaWyaLoZddEaPQYqmKJrgDQQBQUETApGLsNm/PxCCFNjAvqy99/v5ePR48FistfZXdnu992et7/osD7PZbEZEREQcqoujByAiIiIKZBEREUNQIIuIiBiAAllERMQAFMgiIiIGoEAWERExAAWyiIiIASiQRUREDECBLCIi... | <image>Find the exact value of D E, given A D = 12 and B D = 4. | A | 5,949 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAD+CAYAAAA6c3LAAAAwiklEQVR4nO3deViU9frH8TcBskigKKKJgoK4obmBFm6Ve+ZGatqmaZ3KrPyZHlNLOycNNVPTtNIy0/SYgWu5ZKWGG6iggggOigoqISCIDAjD/P4YGEF2HZjtfl1X18XyzPA1dD7zPPfzvW8LtVqtRgghhNl7RN8LEEIIYRgkEIQQQgASCEIIIQpIIAghhAAkEIQQQhSQQBBCCAFIIAghhCgggSCEEAKQQBBCCFFAAkEIIQQggSCEEKKABIIQ... | <image>Find y. | C | 5,950 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAERCAYAAACEmDeEAAAgLklEQVR4nO3dX0wcZ5ou8Cez3iOs46RoS77AFrgxVi6sbpvJikRKE8A7K0cGzZhzB5ZHxjcxNrHCJPIiAVIYCSN5o8yS48GGuVhjjQV9F5zIoETa2fafHmkGrUPcLV94g93ulo1WluiusSVaZ5F8LqDK1dX/6equqq+e301oaDelGXj4+vveet83Xr169QpERCSEn5l9AUREZByGOhGRQBjqREQCYagTEQmEoU5EJBCGOhGRQBjqREQCYagT... | <image>Find x to the nearest tenth. | C | 5,951 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAU0AAADKCAYAAAAhMhIQAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find y. Round to the nearest tenth. | D | 5,952 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnAAAAFzCAYAAAC+bzSQAADAnUlEQVR4nOz913tc+Xnoe35X5ZyrUMiRJAjmzGbsZuesblmSJUtO++wzc54zz8y5nv9hLmfmmZltb1uSbVmS1TknpmbOGSByFVLlnKvWXBQIokgwJ4Tf58KPxQbJIlC11rt+b5JkWZYRBEEQBEEQFgzFs34BgiAIgiAIwoMRAZwgCIIgCMICIwI4QRAEQRCEBUYEcIIgCIIgCAuMCOAEQRAEQRAWGBHACYIgCIIgLDAigBMEQRAEQVhgRAAn... | <image>Use parallelogram J K L M to find m \angle M J K. | B | 5,953 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARIAAADnCAYAAADSH9k9AAAq3klEQVR4nO2dfVxUdfbH3wQEKKKAhAoqChoqlqhgqYVbmg+14kPZxpbpRm3rapu/FtetNrNdzXTLSrOtLMt2bc18qjY1q5WEHnxO8QlREQcVkSEQGVgG5/fHyGWGxxlmmLkzc96vly/vzNy5c5i593PPOd/zPV8vg8FgQBAEwQauc7YBgiC4PiIkgiDYjAiJIAg2I0IiCILNiJAIgmAzIiSCINiMCIkgCDYjQiIIgs2IkAiCYDMiJIIg2IwI... | <image>Circle O has a radius of 10, A B = 10 and m \overrightarrow A B = 60. Find m \widehat A X. | A | 5,954 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdIAAAGiCAYAAABTQkf3AAB4jklEQVR4nO3dd2Bdd33//+c5d09JV3tZw/LeKzvEdhJnkEkSQkKAMktpoUChpd+W0S9tofwK37I3lJ1ACNk7cRw7duK9l6y9t3T3OPec3x9XluRYtrVsrfejNXIsSzqS7z2v+/l83p/3RzEMw0AIIYQQY6JO9gUIIYQQ05kEqRBCCDEOEqRCCCHEOEiQCiGEEOMgQSqEEEKMgwSpEEIIMQ4SpEIIIcQ4SJAKIYQQ4yBBKoQQQoyDBKkQQggx... | <image>Find the circumference of \odot S. Round to the nearest hundredth. | C | 5,955 | null | C |
[
{
"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 X W. | A | 5,956 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAD+CAYAAAATWE8CAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y in the figure. | B | 5,957 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAIXCAYAAAAMru/YAABiH0lEQVR4nO3db2xUd7rg+afvsLuOJuEAO0gL6aqYkIk0qCq4E9G5otw23NnpyLYAt+a+sC1HmHkBJr657XSWsdZYaloylnyZdJNOE2xW05iN1/aLu2oThK2kdxrsuNhOrE6TVClXYkJwqjqwI6SYQ7IbXjDDvihOcc6pU1XnVJ36d873IyGZcv05gHE9fp7f8zzfe/DgwQMBAACAb/xVpS8AAAAA5UUACAAA4DMEgAAAAD5DAAgAAOAzBIAA... | <image>Find m \angle V. | C | 5,958 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATQAAADECAYAAAARZN0yAAAkJklEQVR4nO3deUDUdf7H8SeCcjggoDgeoIiIoniLZmrarh26JR5ZqWlWdGqlW5qlrrlmax5bq665RWlepa4H1m5l9lvMM1HxAA8OQwV14pJzQIH5/QEMh4MMyDAz33k//nFwDr4zzLzm8/m8P5/P106n0+kQQggFaGTuAxBCiPoigSaEUAwJNCGEYkigCSEUQwJNCKEYEmhCCMWQQBNCKIYEmhBCMSTQhBCKIYEmhFAMCTQhhGJIoAkhFEMC... | <image>Find x. | A | 5,959 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAF7CAYAAADbklxlAACLZ0lEQVR4nOydZ3hc13Wu33OmV8ygdxAE2HsvkkiqF6pYvdgqlptSnNhxkpub5Oam3NSb3NiJEze5qFnVKlbvFHvvYEVvM6jT+8w598cMhwBFiUUgMAD2+zx8RFLAcAOYs7+911rfWpKqqioCgUAgmHTIY70AgUAgEIwNQgAEAoFgkiIEQCAQCCYpQgAEAoFgkiIEQCAQCCYpQgAEAoFgkiIEQCAQCCYpQgAEAoFgkiIEQCAQCCYpQgAEAoFg... | <image>Find x. | D | 5,960 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAFcCAYAAACeMFkWAACO/klEQVR4nOz993tU9/n/+z7X9KKZUZdmRkgChBAChCiSQGDcaxx3xy1OXGPnk7P3/p5znbN/OH/APueXvc/1bZ/YcYl7bCd23HsBG5AEiI5oAtWZUddoel/nh5FxAwwYULsfuXJdTiyNlkYza17rvd73fSuqqqoIIYQQQogZQTPVByCEEEIIIc6ehDchhBBCiBlEwpsQQgghxAwi4U0IIYQQYgaR8CaEEEIIMYNIeBNCCCGEmEEkvAkhhBBC... | <image>Find x. | B | 5,961 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 8, b = 15, and c = 17, find \cos B. | B | 5,962 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAksAAAIRCAYAAABaqPmTAACh10lEQVR4nOzddXzd1f3H8df3usc9aRupeynuFKjhzmDIYNuP+WAM2LCN4YPBnG24u1ZpsdJSpO5tvHFPrtv3/v64yU1Sl7RNcj/Px2OPAWuzS3Nz7/ue8znvo0QikQhCCCGEEGKXNEf6AQghhBBC9GcSloQQQggh9kDCkhBCCCHEHkhYEkIIIYTYAwlLQgghhBB7IGFJCCGEEGIPJCwJIYQQQuyBhCUhhBBCiD2QsCSEEEIIsQcSloQQQggh... | <image>Find m \angle W. | A | 5,963 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVgAAAFcCAYAAACN/aZWAABNKklEQVR4nO2df0BV9f3/nw0cXLygoHhREBAQUa/mD0ALCtfyR63EH7OWS8tF26eFlSvL1bZyy2Y6cyWr75JmPzbdcqK2tkpdk8KmgIp6VUREkIuKN0Au6IV56X7/gAP3/LiX++Oce8859/X4p53DvdczOPd53u/Xj+frJpvNZgNBEAQhOt/y9wUQBEGoFRJYgiAIiSCBJQiCkAgSWIIgCIkggSUIgpAIEliCIAiJIIElCIKQCBJYgiAIiSCB... | <image>Quadrilateral A B C D is inscribed in \odot Z such that m \angle B Z A = 104, m \widehat C B = 94, and A B \parallel D C. Find m \widehat A D C. | D | 5,964 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD6CAYAAACvZ4z8AAA6fklEQVR4nO3de1zO9/vA8VerKHIoklaUQ86HOcSIsS0sNsKcYsMPc5ph5jC1mTlsDtFO2DBsyjDGDlr03bRJ1HKMqBBqRO5I647K/fsjpfNJ3cfr+Xjs8eh797k/99v2dfXu+lzv6zJSqVQqhBBC6K1nNL0AIYQQlUsCvRBC6DkJ9EIIoeck0AshhJ6TQC+EEHpOAr0QQug5CfRCCKHnJNALIYSek0AvhBB6TgK9EELoOQn0Qgih5yTQl8Oq... | <image>If x = 7 \sqrt { 3 }, find y. | C | 5,965 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANcAAADxCAYAAABYiCKeAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | A | 5,966 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAtgAAAFvCAYAAABw9LxVAAB110lEQVR4nO39aVDcd77veb5zhSQzWROSTSA2IaEFtNqW5X3fy67yUl6q6pwz5/S93RPT0fNgJmIiJmZi5tHt6ImYie7puHf6nlOnquzyUl7K+y5LsiVZKxJCQiCQEIglgQQScl/nASAjC5BkIbHo84qoinPCqR//pIzyyy/f+fsbUqlUChERERERmRfGhb4AEREREZHlRAO2iIiIiMg80oAtIiIiIjKPNGCLiIiIiMwjDdgiIiIiIvNIA7aI... | <image>Find m \angle 2. | B | 5,967 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARIAAACICAYAAAArvWSyAAAPuUlEQVR4nO3dfViUBbrH8S8BKoWioKKBCoqmLhq+YLtCi6umliVmdiorrdQ6WXqykss1T2W7lkp1dLHsxQ3tlL1sJqQVplcrCpWSYjqtr6gopOQBQRElwDl/6NBAzMg6w7z+PtflH8G8PBj9ep77uee+fYxGoxERERtc5ewDEBH3pyAREZspSETEZgoSEbGZU4Ok5PR5Z769iNiJnzPffMHqPQBMuLEzMVEhzjwUEbGB0y9tkg0l9Fu2k7GL... | <image>Find x. | D | 5,968 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEECAYAAAD6XUlTAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find z. | C | 5,969 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAGYCAYAAAAUSQW0AAB+bUlEQVR4nOz953ObZ77ue34BMCIRGWAUM0WRClS0FZxzbLud3WvttdfZuybsqjPn1LybqvkX5kzVvDqn6uzQ3Y5tt3OWLctKtiyJokgx54icmZCeeQGKEm1LVrJIkL9P1apaLTEAFvngwn0/1+9WKYqiIIQQQgghcoJ6tR+AEEIIIYS4fhLehBBCCCFyiIQ3IYQQQogcIuFNCCGEECKHSHgTQgghhMghEt6EEEIIIXKIhDchhBBCiBwi4U0I... | <image>Find M N. | D | 5,970 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANsAAAEACAYAAAA6DQMYAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round side measure to the nearest tenth. | D | 5,971 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAIXCAYAAAAMru/YAABiH0lEQVR4nO3db2xUd7rg+afvsLuOJuEAO0gL6aqYkIk0qCq4E9G5otw23NnpyLYAt+a+sC1HmHkBJr657XSWsdZYaloylnyZdJNOE2xW05iN1/aLu2oThK2kdxrsuNhOrE6TVClXYkJwqjqwI6SYQ7IbXjDDvihOcc6pU1XnVJ36d873IyGZcv05gHE9fp7f8zzfe/DgwQMBAACAb/xVpS8AAAAA5UUACAAA4DMEgAAAAD5DAAgAAOAzBIAA... | <image>Find m \angle Y. | B | 5,972 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAH8CAYAAACKMji/AADvA0lEQVR4nOzdd3icZ5X38e8zvY806t2SZbnXON0pduwUCISEdHqHXWAX2A0su5DCLr28wLK00EsKKSSEEJfYcZzuxJZ7kdV7G03vM8/7x4xGcuIi95F0Pte11144tjy2Rnp+Pve5z1FUVVURQgghhBA5RXOuX4AQQgghhHgrCWlCCCGEEDlIQpoQQgghRA6SkCaEEEIIkYMkpAkhhBBC5CAJaUIIIYQQOUhCmhBCCCFEDpKQJoQQQgiRgySk... | <image>M C = 7, R M = 4, and A T = 16. Find S C. | A | 5,973 | null | A |
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