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": "iVBORw0KGgoAAAANSUhEUgAAASgAAAEeCAYAAAA5JIipAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | B | 5,674 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAD6CAYAAACGTLE+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>What is the area of the triangle? Round your answer to the nearest tenth if necessary. | B | 5,675 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAAE7CAYAAACfTkehAAAxcUlEQVR4nO3de1jUZd7H8TcLJBCigIgKKiIiKpon1FVMK60s09Lt5JZpWVup7fq09tjayVpd08xKs9rYLPOpNddTdrBySwtN0cQUFREVcRARAUFgIBjn+WOcYTgPx9/9G76v6+q6BpnRux/MZ+77ex9+Lmaz2YwQQijmd1o3QAghqiLhJIRQkoSTEEJJEk5CCCVJOAkhlCThJIRQkoSTEEJJEk5CCCVJOAkhlCThJIRQkoSTEEJJEk5CCCVJ... | <image>Find A B. | D | 5,676 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVgAAADsCAYAAAAxQL6XAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find x. | D | 5,677 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAArMAAAGcCAYAAADK9ShlAACY3klEQVR4nOz9V5DcZbqoez7pvc8sq/JW3nsJJwloTEOb1bSh3eq1945zzsSOmbuJuZiYm7k4c27OzcSZs/deqw20NzQNNEIOgSSQ96a89+m9z5yLLElVQgIBZVSl9xexeiEolf6SSlWvvvy+51MUi8UiQgghhBBCLEHKxX4AIYQQQgghvioZZoUQQgghxJIlw6wQQgghhFiyZJgVQgghhBBLlgyzQgghhBBiyZJhVgghhBBCLFkyzAohhBBC... | <image>Find m \angle A C B. | C | 5,678 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEPCAYAAABMTw/iAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>In the figure, F J \cong F H and G F \cong G H. If m \angle G H J = 152 and m \angle G = 32, find m \angle J F H. | B | 5,679 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAigAAAGyCAYAAADOGD89AAC8OklEQVR4nOzdd3hc1bX38e+ZXtV7l6zi3iu2wWAbA4FQQgi9h9xASEKSm5tKSXLflJtOCimU0HtNAAMGG4yNey+SrN67NJpezrx/jDyS3JtsSV6f58njGNtHsqw5s87aa/+2Eg6HwwghhBBCDCOaM/0JCCGEEEIcSAoUIYQQQgw7UqAIIYQQYtiRAkUIIYQQw44UKEIIIYQYdqRAEUIIIcSwIwWKEEIIIYYdKVCEEEIIMexIgSKEEEKIYUcK... | <image>Find x. | C | 5,680 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAIgCAYAAAAY42rPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Given a \parallel b, find m \angle 1. | C | 5,681 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASkAAAETCAYAAABqePBJAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the measure of \angle R to the nearest tenth. | B | 5,682 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAAD8CAYAAADdVNcyAABDJUlEQVR4nO2deVhUZf/GPwiIIIKgiAQCCoIoLuCa4JJhqZVralqallZu9fqW5k8rNV/NNPPNXDJ3M33V1DRzpcLCDRUXUNlUVBARZRMBheH8/oCBYd9mn+dzXVwXzJwZnjlz5p7n3Od7fx8jSZIkBAKBQKAS6mh6AAKBQKDPCJEVCAQCFSJEViAQCFSIEFmBQCBQIUJkBQKBQIUIkRUIBAIVIkRWIBAIVIgQWYFAIFAhQmQFAoFAhQiRFQgE... | <image>Use parallelogram A B C D to find m \angle F B C. | A | 5,683 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAF5CAYAAAAS6mexAAB3XklEQVR4nO39d3Ck9b33fb6vzjlKraxRmJwjk8g2YBMMBhvngAP2sc+5n2fr2dqq/WN3a7dqd6t2n9pQe9/nHIMNxsY+2GBsosmZSUxicpBGGkmt1N3qVud87R9Xq6WBAYZhFOf7qrIxskbTE9T96V/4fhRVVVWEEEIIIcS8p5vtByCEEEIIIa4MCXZCCCGEEAuEBDshhBBCiAVCgp0QQgghxAIhwU4IIYQQYoGQYCeEEEIIsUBIsBNCCCGE... | <image>Find m \angle 1. | C | 5,684 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW4AAADxCAYAAADr5V2tAAAjKElEQVR4nO3de1TUdf7H8Sc3FRBBBBRFUBFE0hIvrZFaXrqZaWYX27WydWt3a3+Wq21ptVvbxS6a1p6ytDZ31y3TMrMsNzXTdalUvAQicTEVEENEkLswM78/CEUFuQzDzHfm9Tinc+bAzPAlZ57z5vP9fmfcqiuOWhAREcNwt/cGiIhI8yjcIiIGo3CLiBiMwi0iYjAKt4iIwSjcIiIG42ndzc2c3PwiIx/4lKpGrxtAdPwQBv9iONddfxVX... | <image>Find x. | A | 5,685 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAACqCAYAAABS4t+GAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find the measure of \angle 3. | A | 5,686 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASgAAADzCAYAAAA1iYtBAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the trapezoid. | C | 5,687 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWAAAACVCAYAAABmSSBSAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x to the nearest hundredth. | B | 5,688 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 8, b = 15, and c = 17, find \sin A. | B | 5,689 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb8AAAF1CAYAAAB4YOSgAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>What is the total area of the figure? | D | 5,690 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAD0CAYAAABabxsKAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMtgxKCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsjbpNp26UPvUMu/AinePU30mY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Refer to the figure at the right. Find z. | C | 5,691 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAq8AAAGxCAYAAABMVV/rAACHHUlEQVR4nOz9d3Bk97nmeX7T+0wgDbxHeaC8YRXJoveeEiVKlCjpur63+27MTE9sz0xsTMRObMzObMTO7EZ3zE6bK+leUSIpGlH03ogs7x1QhTIo+ASQPpEW6c7+kZkwZciqYhmY9xPBoAQkTibAqpMPfuc570+lKIqCEEIIIYQQ84D6Vr8AIYQQQgghrpSEVyGEEEIIMW9IeBVCCCGEEPOGhFchhBBCCDFvSHgVQgghhBDzhoRXIYQQQggx... | <image>Find m \angle 3. | C | 5,692 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT4AAAEpCAYAAAAK604TAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of r to the nearest tenth. Assume that segments that appear to be tangent are tangent. | B | 5,693 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAD5CAYAAADvLNVfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle 8 if A B \perp B C. | A | 5,694 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASwAAAELCAYAAABj1Lv7AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>A square with 5 - centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest tenth of a centimeter. | B | 5,695 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAwcAAAHKCAYAAABWsTcMAACfsklEQVR4nOzddXxW5/3/8dc5t9/xQAgQJBBc625Usfqq1Dv7bet89a5du6627zr31aAuq1FaqFKnhgQngQQSEhLiuf2c8/vjvrlhFaxA7P18PPZ4rC0kVwI55/pc10cMx3Ec9jDHcTAMY09/2C67DhERERGRrsDs6AWIiIiIiEjnYNi2vds3B1suHXb2dH5Xf/2X/d4t9vSNgG4YRERERKSnM3Y3rWhfpuwoPUhEREREZO9z785vUmAgIp3V... | <image>Find W Z. | C | 5,696 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXkAAADnCAYAAAD7GCa6AAAgjElEQVR4nO3deXSU9dn/8XdMAiSGIMGAEJYkBAhZMCwBFDQUoeBSEXwU9VdRKtqquNVieaTH7fdAEdu6gLUqFkVbikoq1oVF+0CbVJZAIgaEENmcEEMkkhAYQjLM88cwk5mQlcx6z+d1judMJjPJ98Q7H+5c931d35DTtbVWRETEkMJCfL0CERHxmAt8vQAREfGcsJAQncuLiBiVQl5ExMBUrhERMTCFvIiIgalcIyJiYDqTFxExMIW8iIiB... | <image>If X M = 4, X N = 6, and N Z = 9, find X Y. | B | 5,697 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPYAAAF5CAYAAACsg9dxAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find z. | D | 5,698 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAAEJCAYAAACzERN4AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find x. Round to the nearest tenth. | B | 5,699 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUAAAADVCAYAAAAmTCnuAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the quadrilateral. | C | 5,700 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAADlCAYAAABqKfOGAAAQvklEQVR4nO3dX2xUV2LH8R8BCaggA8uqUZKdWSgkD1lPEiWi0sbuhlarRBgly0qJZDtEkD4sBm/S9I9lyUXqPrCWLF6iJoBZqQqoLLhKpGW3wlZWrUIQ3hcrCDpWHpLQROMNCFU0XLAEqUzcB3Mvd8bjsWfm3jn3nvP9vOyAZ9ijevqd8+fO3SUzMzMzAoAmu8/0AAC4ifgAMIL4ADCC+AAwgvgAMIL4ADCC+AAwgvgAMIL4ADCC+AAwwvr4... | <image>W X Y Z is a square. If W T = 3, find m \angle W T Z. | D | 5,701 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATQAAADTCAYAAAAPt+8RAAAywElEQVR4nO2deVxTd9b/P9YgBgLIEoMSFgERFHfjSkfbx32suIyt2qq10s5M1bZOS+tTO0/rzNif1lqtOm2npWPVFquOuHRxnVZbqAq4EgUBETCpYoSwB0owvz9iLkkgZE9ukvN+vfpqgHtvvsjN555zvmfpolKpVCAIgnADHnH2AgiCIGwFCRpBEG4DCRpBEG4DCRpBEG4DCRpBEG4DCRpBEG4DCRpBEG4DCRpBEG4DCRpBEG4DCRpBEG4D... | <image>Find x. Assume that segments that appear to be tangent are tangent. | C | 5,702 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAC0CAYAAACdW/uwAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | A | 5,703 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAADfCAYAAADRAef+AAA30ElEQVR4nO2dd0DU9f/HH3iQLJUhCAIKigqIK3GRWe6tiTkqnFmmplnZzsz89k3NMs3Usq/+SspyZrnKQWbhwpEDUFBBpoIMGce8+/1x3gl4B3ccN5D34y/53Oc+977zPs97vV/TorQwRY5AIBDUkAamXoBAIKjbCBERCAR6IUREIBDohRARgUCgF0JEBAKBXggREQgEeiFERCAQ6IUQEYFAoBdCRAQCgV4IEREIBHohREQgEOiFEBGBQKAX... | <image>Use parallelogram A B C D to find A F. | B | 5,704 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvQAAAHECAYAAABWTr4mAAC92klEQVR4nOz9ZZic573n+36LmbuquUUtdYvZJMnMGDuOnTjgwKLQylp7z7lmzmw4s+fsgbNn9p61wgsCduLEDpoZhbZYFnS31JKau6q6mPk5L6pUtmXZlmRJTf/Pi1xX5G7pkbrgV//nvn+3SlEUBSGEEEIIIcS0pJ7sCxBCCCGEEEKcPwn0QgghhBBCTGMS6IUQQgghhJjGJNALIYQQQggxjUmgF0IIIYQQYhqTQC+EEEIIIcQ0JoFeCCGE... | <image>Segments A D and C E are medians of \triangle A C B, A D \perp C E, A B = 10, and C E = 9. Find C A. | C | 5,705 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmEAAAEsCAYAAACL22RkAAAcgUlEQVR4nO3dX2id55kg8DdtWFSY9kQexJIpkjVRyYXniAZKbiKPq9mBljgkEuyNbALJVeIwU3ApJaDxgsuWgAldrO2GOL1SaLC9CwtJQxwSWCaJrFysKSRIc1OafzpMw2x2Yp3MgL3gor3IHEXnyDp/33O+7/2+3+8qUqzj0/S8ep/vfZ73ee7Y2dnZCQAAjNTXsn4DAABlJAgDAMiAIAwAIAOCMACADAjCAAAyIAgDAMiAIAwAIAOCMACA... | <image>Quadrilateral D E F G is a rectangle. If D E = 14 + 2 x and G F = 4(x - 3) + 6, find G F. | C | 5,706 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAIXCAYAAAAMru/YAABiH0lEQVR4nO3db2xUd7rg+afvsLuOJuEAO0gL6aqYkIk0qCq4E9G5otw23NnpyLYAt+a+sC1HmHkBJr657XSWsdZYaloylnyZdJNOE2xW05iN1/aLu2oThK2kdxrsuNhOrE6TVClXYkJwqjqwI6SYQ7IbXjDDvihOcc6pU1XnVJ36d873IyGZcv05gHE9fp7f8zzfe/DgwQMBAACAb/xVpS8AAAAA5UUACAAA4DMEgAAAAD5DAAgAAOAzBIAA... | <image>Find m \angle U. | A | 5,707 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPcAAADnCAYAAADCWsDIAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+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 | 5,708 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbAAAADBCAYAAACuR+X6AAAjTUlEQVR4nO3deUBU5f4G8IfFBUIUDCcEARVRlDQ01NKUulquoSi/0jLXbmUuqWHeVupm18QsM7XFQs2rV3HX3L25YLmUK6UglCKKSICgMiDL/P7QmXtYZoZlZs55zzyfvxSIDgjzvOc93+/3ddDpdDoQEREJxlHuCyAiIqoNBhgREQmJAUZEREJigBERkZAYYEREJCQGGBERCYkBRkREQmKAERGRkBhgREQkJAYYEREJiQFGRERCYoAREZGQ... | <image>Find y and so that the quadrilateral is a parallelogram. | B | 5,709 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUEAAAEECAYAAAC2m4buAAA1nElEQVR4nO2de1hTd7b3v45huBhAUETlfhUx3hDQVixOW2+9YXVsp57R1lPsedvadpy+tL5tz7HOOfaxdXqcqXacae1x1Km2taK2ndbbeLSCo4KAGhFCVNCAxkiQAAZKkPePsDc7ITfIzm3v9XmePk/AnWSX7Hz397fW+q01qLu7uxsEQRAi5WeePgGCIAhPQiJIEISoIREkCELUkAgSBCFqSAQJghA1JIIEQYgaEkGCIEQNiSBBEKKGRJAg... | <image>In \odot P, m \widehat E N = 66 and m \angle G P M = 89. Find m \angle G M E. | A | 5,710 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP0AAAD1CAYAAACbZvORAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Round to the nearest tenth. | C | 5,711 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADcCAYAAABH9duMAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. | D | 5,712 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARsAAAEKCAYAAAAip/EfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | C | 5,713 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAADYCAYAAAC6PmXNAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 5,714 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEFCAYAAAAfRLtkAAAiX0lEQVR4nO3de0DUZd738bciKoYomKKCR1DRsERFTSi828zWDqZ2WN0y3cx2S+vu3nQta81nb31Mt6y0utvcNWsfyy2PnTR7Sgos0USFFBUUFQ/IgokIIozcf4zQyGH4oXP4zczn9ZfJb+DSaj5zHb7Xt1FFRUUFIiIiBjR29wBERMRzKDRERMQwhYaIiBim0BAREcMUGiIiYphCQ0REDFNoiIiIYQoNERExTKEhIiKGKTRERMQwhYaIiBim... | <image>Find E D if A E = 3, A B = 2, B C = 6, and E D = 2 x - 3. | D | 5,715 | null | D |
[
{
"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 5. | D | 5,716 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAHSCAYAAACtnsGGAADM/0lEQVR4nOy9d3xc53mmfZ3pDW0KeiEJAgTAXkWKVK8kVazmJtuy4xJ3Zzeb3f129/ft5tuebLKxnbjGsWNHxSq2GqleqUaJvaARAEkAA2AqBtP7+f44gwFAUawg2rzXzzQJigDODM4593mf93nuW5JlWUYgEAgEAsGMoZrtAxAIBAKBoNAQ4isQCAQCwQwjxFcgEAgEghlGiK9AIBAIBDOMEF+BQCAQCGYYIb4CgUAgEMwwQnwFAoFAIJhh... | <image>In \odot F, find m \widehat A D B. | D | 5,717 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAEeCAYAAACDhwDJAAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find x. | D | 5,718 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAERCAYAAACjE+FFAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find x in the figure. | C | 5,719 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZwAAAEPCAYAAAB2s3LUAABIn0lEQVR4nO3deViUVf/H8TcBsoqCIhqoCIiguItWuOWaS+JSmqZpZf3KtCyzLH3SFh9Ns0zNFvHRLE0zSazU1AoTNfcNN0BFhRSRYREZEHB+f4yMDAw7zPp9XVfXNcQ9MwcH7s99zn3O91ipVCoVQgghRA17wNANEEIIYRkkcIQQQuiFBI4QQgi9kMARQgihFxI4Qggh9EICRwghhF5I4AghhNALCRwhhBB6IYEjhBBCLyRwhBBC6IUEjhBC... | <image>Find m \angle Z X Y. | B | 5,720 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAADrCAYAAACW5gZPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y. | C | 5,721 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAj0AAAGECAYAAADdvJEhAAA63UlEQVR4nO3df2xU573n8W+6aC9dFU7Ibv5IwkwgoGjDzgS22dzkZlx+dLdEtpXge9ura/s6AnK1salL6yol1rqoIStiyaHZ0uZSjyPdgBVfz1S36XVAtgXZbYB6KNmoFWTmOlIUEnImJH9EChxTCbRCl/1jOMfnnDnz+8eZM+f9kqLisT0cxvXMZ57n8zzPbTdv3rwpAAAATe4rbl8AAABAPRB6AACALxB6AACALxB6AACALxB6AACALxB6... | <image>Find m \angle L. | A | 5,722 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXsAAADrCAYAAACILzb8AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>In the figure, \triangle F G H is a right triangle with hypotenuse F H and G J = G H. What is the measure of \angle J G H? | B | 5,723 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQkAAAFHCAYAAACyOrl4AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. Round to the nearest tenth. | A | 5,724 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPQAAADvCAYAAADFPvmmAAAoY0lEQVR4nO2deVxU1/n/31QoDrIIiKisKiDI4ILiEjHa1CXaJBhtNr/NYtW2SYxt2pqmSb6vNN/U/kxMYhttltbUxESzmBg1qSaapppojIJIFJFNRR1EHAFBcCAMzu+PYS53kF2Yu8x5v168XneGe2eeufd+7nnOc57zHA+bzWZDIBDogh8obYBAIOg+hKAFAh0hBC0Q6AghaIFARwhBCwQ6QghaINARQtACgY4QghYIdIQQtECgI4SgBQId... | <image>Find the perimeter of the polygon for the given information. | D | 5,725 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWcAAACpCAYAAAD3Lfz9AAAg4UlEQVR4nO3deVzU1f7H8RcNKOC4sIkICgiiILiTppZrZYtLJpZ5XTLLMjW17LbdFq/eTEspzbK4ad2yn7nlUmqaS5GluLMpsokgArIII6DDzPf3B2KjAqIC84X5PB8P/2DmMJzBmfcczvl8z7FSFEVBCCGEqtxl7g4IIYS4kYSzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISz... | <image>For trapezoid Q R S T, A and B are midpoints of the legs. Find m \angle Q. | B | 5,726 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 14, b = 48, and c = 50, find \tan A. | C | 5,727 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAC1CAYAAACAjjA1AAAfeElEQVR4nO3de0BT590H8C81FAIxShBj5VpERI0XLGjfgeKmeFsVlGpXW21dse9WserrsJ2us9Zqrcy5qbVdS4dap22tWKyvtmr7QsVWAe944yZKqEbkFoMBDeT9I+aQAEFIcnJOOL/PX4kJ5kGTb57n91yOi16v14MQQlj0GNcNIIR0fRQ0hBDWUdAQQlhHQUMIYR0FDSGEdRQ0hBDWUdAQQlhHQUMIYR0FDSGEdRQ0hBDWUdAQQlgn4roB... | <image>Find x. | A | 5,728 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAETCAYAAAAxsG14AAAtRElEQVR4nO3de0CUZb4H8C8BIYogEKJCchVR0cBA3aT0WF5qO+IlK9k0XbHdXGxzW12r3TX3rGV6dt2S6qzZsmrRVby0ed11ZYNKQSEdFREVdUjHCZCbIzHjnD/GeWcGZ5gLM7wz834/f83oCzwifN/n/T03H61WqwUREUnGHWI3gIiIuheDn4hIYhj8REQSw+AnIpIYBj8RkcQw+ImIJIbBT0QkMQx+IiKJYfATEUkMg5+ISGIY/EREEsPg... | <image>In \odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U = 4 x, m \angle U Z Y = 2 x + 24, and V Y and W U are diameters. Find m \widehat W X. | B | 5,729 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAADMCAYAAACso2w8AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>\triangle D F G and \triangle F G H are isosceles, m \angle F D H = 28 and D G \cong F G \cong F H. Find the measure of \angle G F H. | D | 5,730 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAY4AAADqCAYAAAC1FqKEAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 3. | B | 5,731 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUwAAAEZCAYAAAD8LRwbAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMdgyCCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrtzABEu26Fk/925YfbBx32FM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the value of x. | C | 5,732 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAH8CAYAAACKMji/AADvA0lEQVR4nOzdd3icZ5X38e8zvY806t2SZbnXON0pduwUCISEdHqHXWAX2A0su5DCLr28wLK00EsKKSSEEJfYcZzuxJZ7kdV7G03vM8/7x4xGcuIi95F0Pte11144tjy2Rnp+Pve5z1FUVVURQgghhBA5RXOuX4AQQgghhHgrCWlCCCGEEDlIQpoQQgghRA6SkCaEEEIIkYMkpAkhhBBC5CAJaUIIIYQQOUhCmhBCCCFEDpKQJoQQQgiRgySk... | <image>M C = 7, R M = 4, and A T = 16. Find R B. | C | 5,733 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQYAAAF2CAYAAACMFzb9AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the angle measure to the nearest degree. | B | 5,734 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAGRCAYAAAAgkRSIAADqAUlEQVR4nOz9Z5Bc553veX5Pem/Lew/vvSVBL4myLXZL6pbaybW59+5s7NzdiHmzGxs7MRsxd2Z2+t6WWuq+7WRaLe9FEiRBeO9dee8rvbdnX5xEASQMAbCAygL+nwgFu8mqrASqKs8/n/P8np+iqqqKEEIIIYQoC7rFfgJCCCGEEOImGc6EEEIIIcqIDGdCCCGEEGVEhjMhhBBCiDIiw5kQQgghRBmR4UwIIYQQoozIcCaEEEIIUUZkOBNC... | <image>Find m \angle 3. | C | 5,735 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAESCAYAAADUqZ9PAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHwA/E4onJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzJKwP7SmjtmnLtPjr/HhLU5mmOpRAFdKanEykP4DxOnJBUUlDAyMKUC2cnlJAYjdAWSLFAEdBWTPAbHTIewNIHYShH0ErCYkyBnIvgFkCyRnJALNYHwBZOskIYmnI7Gh9oIAr4urj49CsKuRuaGl... | <image>Find the value of the variable x in the figure. | B | 5,736 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOIAAAC4CAYAAAD+BTBGAAANB0lEQVR4nO3de1SUdQLG8WdUTDa8U1qQipLHFBTU7LSaq1lCxyTUTKXQNOy0HruwabldVNYo3cwLctZddTPzdvJCgqZ4WVcLThtxEoOMDJVkSAlDQHAgBmb/UDvj6wAzw3v5ve/7fP4TZvCnh6/vjMwDFofD4QARaaqV1gcgIoZIJASGSCQAhkgkAIZIJACGSCQAhkgkAIZIJACGSCQAhkias5ZW41B2sdbH0BRDJE1ZS6sxMTkbVTV1Wh9F... | <image>Find x. | A | 5,737 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANkAAAC7CAYAAADogjsnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the rhombus. | C | 5,738 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATIAAADtCAYAAAA82fmLAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | C | 5,739 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXQAAADKCAYAAAC11LviAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the triangle. Round to the nearest tenth if necessary. | A | 5,740 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAawAAAD+CAYAAABm+THkAAA0AklEQVR4nO3df1yV9d0/8Fez7u04l5Nc2TAOLY/NzI7hgIGWtUh2UCdiUwT96r3pBDYnCkkJ1pxgUaA4C/ChNbwREZcKWXJjp6mlnimLOJm6PDoBPWmll6vMa7uN+P5xPJfXgcMP8ZxzXdc5r+fj0aOL44Hz4QDX6/r8uN6fm9ra2tpARESkct9SugFEREQ9wcAiIiJNYGAREZEmMLCIiEgTGFhERKQJDCwiItIEBhYREWkCA4uIiDSBgUVE... | <image>G R I D I N In the figure, the radius of circle A is twice the radius of circle B and four times the radius of circle C. If the sum of the circumferences of the three circles is 42 \pi, find the measure of A C. | C | 5,741 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATIAAADVCAYAAADU8HxLAAAv80lEQVR4nO2de1zT9f7HX8QIhggC4kTG/aIoKiZDE0zreCUV1Cy1sjxRvzrZxdMP85F17GbH8pSn9NQp6WdpakmiWCevebDAFBBQUXBcnDjEObkKjMVwvz/WvmxjXMa+u7+fj0ePxza/2z6x7/f1fb/fn/fFSalUKkEQBGHD3GXpBRAEQRgLCRlBEDYPCRlBEDYPCRlhJm4h+/VpiAgJRURIBBLeP4O2Pt/TjLz3Z6vek/wVyu+YYZmETUJC... | <image>Find x. Assume that segments that appear to be tangent are tangent. | C | 5,742 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAosAAAE+CAYAAADlBVpMAAAoZ0lEQVR4nO3dX2wU993v8W+OfKRFgg5G4gIiG/9JuUDrQolopS6xyQ0WoMQ+dzYiwpGOgiGnT/y04lhykFgkHksuSuO0okBuaqsW3nN1TCtA5uLEON5IKWprnl1xJBobZ1eGC+tgb0GyLyz5XDg73pmdsffPzM6/90uqtDPenZ1Ui/fj7/f35421tbU1AQAAAAz8F6dvAAAAAO5FWAQAAIApwiIAAABMERYBAABgirAIAAAAU4RFAAAAmCIs... | <image>Find \angle 2. | A | 5,743 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhgAAAHjCAYAAABhOWZXAADKYklEQVR4nOz993db17bg+X43wAQQkQTBnJMCSeVIybZky1EOkmyfcG/Vreqq6tFdv3SP98+8N+p1VXXXq3POPcc525KzROVEUqQYJOYIkCByIMJ+PwCiKInKTKLmZwx72CTCArix98Saa82pqKqqIoQQQgixiDQrPQAhhBBCrD0SYAghhBBi0UmAIYQQQohFJwGGEEIIIRadBBhCCCGEWHQSYAghhBBi0UmAIYQQQohFJwGGEEIIIRadBBhC... | <image>Find m \angle 8. | B | 5,744 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAAEMCAYAAADDFYofAAAnuklEQVR4nO2de0CUZbrAfywQIAiCEiqggIioaGKgbtDicdO07UhhbSunTDdyq8W2tqPryc52OVvr6mldL5tbubHZWas1KazMtO3oBmdTSEzxhqgooOIIyEUHYkbOH+N8DHKRy1y+b+b5/fUNfjPzCvOb533e93nf162lpaUFQRA0xfcc3QBBEHqOiCsIGkTEFQQNIuIKggYRcQVBg4i4gqBBRFxB0CAiriBoEBFXEDSIiCsIGkTEFQQNIuIK... | <image>In \odot T, Z V = 1, and T W = 13. Find X V. | A | 5,745 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD6CAYAAACvZ4z8AAA6fklEQVR4nO3de1zO9/vA8VerKHIoklaUQ86HOcSIsS0sNsKcYsMPc5ph5jC1mTlsDtFO2DBsyjDGDlr03bRJ1HKMqBBqRO5I647K/fsjpfNJ3cfr+Xjs8eh797k/99v2dfXu+lzv6zJSqVQqhBBC6K1nNL0AIYQQlUsCvRBC6DkJ9EIIoeck0AshhJ6TQC+EEHpOAr0QQug5CfRCCKHnJNALIYSek0AvhBB6TgK9EELoOQn0Qgih5yTQl8Oq... | <image>If x = 7 \sqrt { 3 }, find C E. | C | 5,746 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAADbCAYAAAAFzaY4AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>m \angle 19 = 100 + 20 x, m \angle 20 = 20 x. Find the measure of \angle 19. | C | 5,747 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWkAAADVCAYAAACVBAH0AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, find the area of the green figure. | D | 5,748 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAADuCAYAAAByIWHzAAAXhElEQVR4nO3db2wUZ34H8K/BYLsXPDY66DXEi3Nwau+8W28T9U5iLUx0UiuMIM6LtrYFxal0wcTlFDVHfKJIvRfEkoU4XUJcTFK1xx3Cftf8ESZvrrEjL1JUXc50N/cKdGa2UAkS2+MQeUk2uC92n/Ez9v6Z3Z3Zmdn5fqTTAV77HsHcd37P73nmmZqVlZUVEBE5bIPTAyAiAhhGROQSDCMicgWGERG5AsOIiFyBYURErsAwIiJXYBgRkSsw... | <image>Find m \angle D. | C | 5,749 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPEAAAD0CAYAAABKBsC6AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary. | D | 5,750 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjIAAAGyCAYAAAD+lC4cAAChaUlEQVR4nOzdd3ib55Xn/S96B0iQALtY1Hvvcu9OHPcaJ3GcxOOJk9mdTGZ239ndmcnslJ3ZbGbSEydxetwdt7hbLpLVK9UbxV4AEgDR+/P+AQgiZdlWJQnyfK7LSeRIFETheXCe+z7376gURVEQQgghhChC6tF+AUIIIYQQ50oKGSGEEEIULSlkhBBCCFG0pJARQgghRNGSQkYIIYQQRUsKGSGEEEIULSlkhBBCCFG0pJARQgghRNGSQkYI... | <image>Assume that the segment is tangent, find the value of x. | B | 5,751 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW8AAADQCAYAAADI1+AAAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find y. | A | 5,752 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhkAAAEMCAYAAABp6aQ+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 3 = 43. Find the measure of \angle 10. | C | 5,753 | null | C |
[
{
"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 x. | A | 5,754 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVsAAAF7CAYAAAB8YyjbAAAibUlEQVR4nO3d/XdU1d338W+v1R9rRlaW3pUn7VJ5ivUq1STI0ou7ISAgIhEFUyTQOwkPMRVIENGbhxBQkZIAFQKY0IYgDWIhioiIMb2pLkwIll69mgRQVzEJYHVlwYl/APcPyJh9zkwymTlnn3Nm3q+fOIeZyW6FD2f2/u7v/tG1a9euCQDAUf/h9gAAIBEQtgCgAWELABoQtgCgAWELABoQtgCgAWELABoQtgCgAWELABoQtgCgAWELABoQ... | <image>If the polygon shown is regular, what is m \angle A B C. | A | 5,755 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD7CAYAAACRxdTpAAA9OElEQVR4nO3deVyU5f7/8RcCKoQbqwiyCSiKmihqrlRq5qlIzUpLs5PVaV/157FFrWPnpG3fk2mdNJfUFnPNVs20xAXXFBc2WQQR2WSRRRjm98c4w6DsMsw993yej0ePB8nijTPznuu+7ut63zZarVaLEEIIVWll7gMQQgjR/CTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTc... | <image>Use parallelogram J K L M to find b if J K = 2 b + 3 and J M = 3 a. | C | 5,756 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALQAAAD+CAYAAACTDi84AAAaKElEQVR4nO2de1xU1drHf8P9JiiIiKAiIuoRzdtIhQTpwdSjomla1DErfCuTOnXCPFqp+dqrYm8XTUvxqHSiT2kmpmJaJMJkiqIlZXLx1iAid0SGgRnm/DHORZiRgbnsPWs/3792zLhZTF8e9l6/vZ4lUqlUKhAEIzhwPQCCsCQkNMEUJDTBFCQ0wRQkNMEUJDTBFCQ0wRQktIAplNahUFrH9TAsCgktUI6cLsXg90/jqW3nUF3fxPVwLAYJ... | <image>Find y. | B | 5,757 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAD2CAYAAAAj3nsdAAAT60lEQVR4nO3db2gcZ37A8Z8Tw8lw5/H6aoruqrUtHX1hdrlyIFqyqiw3YGOJu/NLyShIfdGLEydBEHIG1S8UsAXGpIjmkth5E4sYSdAXTVos40CIrWpDi2iasCJ90Sp2dmnE4SbyuCkWVLB9Ic94drXP7qy08+d55vt5tZbH5omsPN+d55mZ3VUul8sCAEANT0U9AABAfBEJAIASkQAAKBEJAIASkQAAKBEJAIASkQAAKBEJAIASkQAAKBEJ... | <image>If m \angle X Z Y = 3 x + 6 and m \angle X Z W = 5 x - 12, find m \angle Y X Z. | C | 5,758 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkIAAADwCAYAAADsOgtXAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round the side measure to the nearest tenth. | D | 5,759 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR4AAAC7CAYAAACzb/E/AAA3U0lEQVR4nO2dZ1hU19qGbxhQihiqgoICgoKCJSB2jWCJxhJbjomixiTGkmOKLc2SmKMm0VgSS9RPjy2J/cRgC9ZEsaFiVEBEuoB0aUOd+X6MIL3oDAzjuq+LH8zsmb32zOxnvetdb9EqyImVIxAIBHWIdn0PQCAQvHgI4RFoNAXxV9g0Zyoe7YYycs5uLsbn1feQBAjh0Sykd9g4ZgwzD0VRUN9jqSPyQ/czwWUmG29nln9SFs6BeWv5p8MM... | <image>Find m \angle C. | B | 5,760 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAEJCAYAAADrQkIkAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find y. | A | 5,761 | null | A |
[
{
"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 the perimeter of trapezoid A E F G. | D | 5,762 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAADWCAYAAAAuAhI8AAAnSklEQVR4nO3de1zUZdrH8Q8CchBRQEIDFRBRE80TamLqlgc0k5Tc0jbTdLct07LCx1UrrSySXC00baNM29XKBUMtT+WKoZV4IEVR4qigIjIIIgMyOM8fE4gKKjjH31zv12v/WByGG5Fv99xzXfdlo9VqtQghhFCEJqZegBBCCP2RUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWR... | <image>Find y. | C | 5,763 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjIAAAFSCAYAAADo0DWeAABu9klEQVR4nO3dd3iUVdrH8e8zfSa9N9IIJaEqKEUBUSygay+I3bXtrmV3fVfdta3urq6uvffeKzZAFFGadKQGQkJ6b5MyvTzP+8eEJqgoJZnk/lwXu5iZPHNGk5nfnHPucyuapmkIIYQQQoQhXXcPQAghhBDit5IgI4QQQoiwJUFGCCGEEGFLgowQQgghwpYEGSGEEEKELQkyQgghhAhbEmSEEEIIEbYkyAghhBAibEmQEUIIIUTYkiAjhBBC... | <image>Find the value of x in the diagram. | A | 5,764 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV0AAAElCAYAAABH+TEbAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>A regular hexagon is inscribed in a circle with a diameter of 14. Find the area of the red segment. | A | 5,765 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOcAAACsCAYAAACAa7uPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCABFFRjMEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmeW62O6vsNjXJyvYZfi6dmkuxlSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | <image>Find the area of the triangle. Round to the nearest hundredth. | C | 5,766 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnMAAAFtCAYAAABshOx4AAChfElEQVR4nOz9V5BcV5buef6Pe7jWKrTWAloTAAEQIARBnazMLJFZVT11+3b3tX5pm26zeRqzeZ3nnrE2655blVW3VGZlUpMASRAgCK1VaK3Dw7XW58yDRwCgAAiACCAisH8PacZIhMcJ4cc/33uvtSRFURQEQRAEQRCEFUn1vC9AEARBEARBeHIizAmCIAiCIKxgIswJgiAIgiCsYCLMCYIgCIIgrGAizAmCIAiCIKxgIswJgiAIgiCsYCLM... | <image>Find m \angle 3. | B | 5,767 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD6CAYAAACvZ4z8AAA6fklEQVR4nO3de1zO9/vA8VerKHIoklaUQ86HOcSIsS0sNsKcYsMPc5ph5jC1mTlsDtFO2DBsyjDGDlr03bRJ1HKMqBBqRO5I647K/fsjpfNJ3cfr+Xjs8eh797k/99v2dfXu+lzv6zJSqVQqhBBC6K1nNL0AIYQQlUsCvRBC6DkJ9EIIoeck0AshhJ6TQC+EEHpOAr0QQug5CfRCCKHnJNALIYSek0AvhBB6TgK9EELoOQn0Qgih5yTQl8Oq... | <image>If a = 10 \sqrt { 3 }, find y. | D | 5,768 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAACoCAYAAACrIIiCAAAjoElEQVR4nO2de0CT9f7HX4CTwRhyBxUUURRJCwXNCDU1S9P0WNqx0jI7WWmntEMdy2Nadj1RGd1+dvGSnmMnLYq8VGqWGaXiJTOkEESEJBzIbcDk9vtjbmwwkMtgz7N9X39tsD37bs/3eT+f2/fzdaqp+qMegUAgsDHOth6AQCAQgBAjgUAgEYQYCQQCSSDESCAQSAIhRgKBQBIIMRIIBJJAiJFAIJAEQowEAoEkEGIkEAgkgRAjgUAgCbrZ... | <image>Find x. | B | 5,769 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAABBEAAAGLCAYAAACRPgrpAADn0klEQVR4nOz9dXdcd5rG/X6LmcUMlmV2zByyA01JOj3M3dPzHHgNz7s466xzzjPcA90z09Mc6MRO4pgpZhJLFkvFTHufP3ZJlmQ7lhXLovuzVpYhtmpLcklVV92/+9KpqqoihBBCCCGEEEII8RT6pb4AIYQQQgghhBBCrAwSIgghhBBCCCGEEGJeJEQQQgghhBBCCCHEvEiIIIQQQgghhBBCiHmREEEIIYQQQgghhBDzIiGCEEIIIYQQQggh... | <image>Find m \angle 3. | A | 5,770 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAHVCAYAAAAgiIjxAACE6ElEQVR4nOzdd2Bc13nn/e+90xuAQe9g752USElUl6xmSbZs2ZZ7LJfE6WW9KW9203bXiZONSxKvS9ztuEiWJUuyepcoFrF3Er23KZhe7r3vHzMYFIIkCKIMwOfjKETnEMCd3z3nPOc5imEYBkIIIYSYU+pcPwAhhBBCSCALIYQQeUECWQghhMgDEshCCCFEHpBAFkIIIfKABLIQQgiRBySQhRBCiDwggSyEEELkAQlkIYQQIg9IIAshhBB5... | <image>Find x. | C | 5,771 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAEBCAYAAAAuOv2LAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x. | B | 5,772 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkkAAAEpCAYAAACHnLbzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 12 = 64. Find the measure of \angle 4. | A | 5,773 | null | A |
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