images listlengths 1 1 | problem stringlengths 14 321 | answer stringlengths 1 103 | id int64 5.47k 11k | choices null | ground_truth stringlengths 1 103 |
|---|---|---|---|---|---|
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{
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAGiCAYAAADEJZ3cAACP60lEQVR4nOzdd3xV9f3H8dfdO3svMoAk7CEuFFyAe9et1e7+tMNuOxytrd2Oals7XK2j7q2AA0QUBWRDEkJCyN7JHbnj3HvO748bbhIETUKAhHyej4elCN5cwr3nvO/n+/l+vjpN0zSEEEIIIUYx/ZF+AkIIIYQQn0cCixBCCCFGPQksQgghhBj1JLAIIYQQYtSTwCKEEEKIUU8CixBCCCFGPQksQgghhBj1JLAIIYQQYtSTwCKEEEKIUU8C... | <image>Find m \widehat S U. | A | 5,975 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAAD7CAYAAABT9ZBtAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth. | B | 5,976 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXkAAADnCAYAAAD7GCa6AAAgjElEQVR4nO3deXSU9dn/8XdMAiSGIMGAEJYkBAhZMCwBFDQUoeBSEXwU9VdRKtqquNVieaTH7fdAEdu6gLUqFkVbikoq1oVF+0CbVJZAIgaEENmcEEMkkhAYQjLM88cwk5mQlcx6z+d1judMJjPJ98Q7H+5c931d35DTtbVWRETEkMJCfL0CERHxmAt8vQAREfGcsJAQncuLiBiVQl5ExMBUrhERMTCFvIiIgalcIyJiYDqTFxExMIW8iIiB... | <image>If X N = t - 2, N Z = t + 1, X M = 2, and X Y = 10, solve for t. | A | 5,977 | null | A |
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{
"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 V. | C | 5,978 | null | C |
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{
"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 B C D. | C | 5,979 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAigAAADvCAYAAADYfy+gAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the figure. Round to the nearest hundredth, if necessary. | D | 5,980 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAn4AAAHVCAYAAABv4/bQAACVEklEQVR4nOzdZ2BUVd6A8edOn/TeQyAhDaUpKoiIYkcsNF3bvrvu2ntfe++uvburay90e0ERQRBEBSmphPTeM73c+35ISFABISSk/X8fd+Fk1MmdZ8499xxF0zQNMSS1rX+dJ+Y1knnSDKaNSyEy0IRO6etXJYQQQojeokj4DV2az43To2EwmTAadEjzCSGEEIObhJ8QQgghxBCh6+sXIIQQQggh9g8JPyGEEEKIIULCTwghhBBiiJDwE0II... | <image>Find C B. | C | 5,981 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASkAAADcCAYAAAAssVecAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. Round to the nearest tenth. | B | 5,982 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkgAAAFLCAYAAAAtYnOcAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Polygons F G H J K and V W X U Z are similar regular pentagons. Find the scale factor. | B | 5,983 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUEAAADrCAYAAAD3/iQNAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of d to the nearest tenth. Assume that segments that appear to be tangent are tangent. | C | 5,984 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAGLCAYAAADu2mdwAACF00lEQVR4nOz9VXBdebbve34XM4lpicySLZkZkhmKMws3Hdj7nhsnuiM6ojui70M/92v3udD3nNrFVVmVlZWcWUlOM6PIsphZixlmPyxJlkGyZMvC8anYu8qgv6Zlea6x/v8xx0+lKIqCEEIIIYR4LOqlvgAhhBBCiNVAiiohhBBCiAUgRZUQQgghxAKQokoIIYQQYgFIUSWEEEIIsQCkqBJCCCGEWABSVAkhhBBCLAApqoQQQgghFoAUVUII... | <image>Find m \angle J K L. | B | 5,985 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAEKCAYAAADD4CYLAAAfw0lEQVR4nO3dT2gcd5738W8e/IANOyk7MIfMoh47yc5h6N4Js4SFtEa25xCjFnZ8lIyCvJdIGq0zeli0DYphNOAR9PjixKtImstjEaHuo2IjieTwJHHUuYQMDt3MIZsZe6rZJ4dAPJV9ID4E9ByU+vlX/bdU6q76VfX7BQG11JJLHbs/Vb/6fX6/J/b29vYEAABE6n9EfQAAAIBABgDACAQyAAAGIJABADAAgQwAgAEIZAAADEAgAwBgAAIZ... | <image>Find y so that the quadrilateral is a parallelogram. | A | 5,986 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAH3CAYAAAC8SfapAAC7i0lEQVR4nOzdZ2Bc5Zn3/++ZXqUZtVGXZcu9dwyudAiQ0BPSgPQekmxvz/N/NtuS7KbspickJCGEDguEbmyMbdx7L+rSjEaakabX838xo5FkDNgqVrs+LzaRIx0fa2fOb+5yXbeiqqqKEEIIISYszWjfgBBCCCFGloS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ... | <image>A D and C G are diameters of \odot B. Find m \widehat A C F. | B | 5,987 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAq0AAAI8CAYAAADbZpJNAAEAAElEQVR4nOz9d3ib9/nn+b4fdAIgAJJg7+q9WJWk3FscO7ETJ05zerWdmdnZ3dnfntk5O2fmmp2Z3etcZ2b3Fzt2ehwnjp3EvfciFvUuq7OBDQDRiN6e8wdAWpLVSIkiKN6vXPlDNPnFQ4oCPvg+9/e+FVVVVYQQQgghhChgmpm+ACGEEEIIIS5GQqsQQgghhCh4ElqFEEIIIUTBk9AqhBBCCCEKnoRWIYQQQghR8CS0CiGEEEKIgiehVQgh... | <image>P is the incenter of \triangle A E C. Find D E. Rounded to the nearest hundredth. | A | 5,988 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAN8AAAEwCAYAAAA3nKTPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the angle measure to the nearest degree. | C | 5,989 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMsAAACTCAYAAAAgJu2pAAANxElEQVR4nO3de1iUdd7H8TcnOYqAGrWwBoioOSooZCussF2eylMqbmn7VPawdXXAxBXWdTunZfAoFiqrmWiltmYKitpml8kK5qKPRzxEKR5g1QgERIRgnP3DHUMSvEFm5r5nvq/r4g8H7rm/XPiZ39yf+cHYGQwGA0KI27K39ABCaIWERQiFJCxCKCRhEUIhCYsQCklYhFBIwiKEQhIWIRSSsAihkIRFCIUkLEIoJGERQiEJixAKSViEUEjC... | <image>Find x. | C | 5,990 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV... | <image>Use parallelogram M N P R to find w. | A | 5,991 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARYAAAEfCAYAAACEQumHAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x to the nearest tenth. | C | 5,992 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWMAAAESCAYAAAAovLSFAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAOhFwMMonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzEqVMn959v6/xLuzzs/X2pt8BlM9CuBKSS1OBtJ/gDg9uaCohIGBMQXIVi4vKQCxO4BskSKgo4DsOSB2OoS9AcROgrCPgNWEBDkD2TeAbIHkjESgGYwvgGydJCTxdCQ21F4Q4HVx9fFRCHY1Mje0... | <image>Find the measure of \angle T to the nearest tenth. | D | 5,993 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvAAAAHvCAYAAAAyzuupAADHdElEQVR4nOzdd3xUdfb/8dedXlInFZIACb0KomAB1LX3Ru+oa1l3Xbd+97t997u9/HbVdV3LKr0J2HsXQUWQGjokkATS+7Q7c+/9/TFJSEIRkJRJzvPx8AEJCDchmXnPuedzjmIYhoEQQgghhBAiKpg6+gKEEEIIIYQQp08CvBBCCCGEEFFEArwQQgghhBBRRAK8EEIIIYQQUUQCvBBCCCGEEFFEArwQQgghhBBRRAK8EEIIIYQQUUQCvBBC... | <image>Find b. | B | 5,994 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAGRCAYAAAAgkRSIAADqAUlEQVR4nOz9Z5Bc553veX5Pem/Lew/vvSVBL4myLXZL6pbaybW59+5s7NzdiHmzGxs7MRsxd2Z2+t6WWuq+7WRaLe9FEiRBeO9dee8rvbdnX5xEASQMAbCAygL+nwgFu8mqrASqKs8/n/P8np+iqqqKEEIIIYQoC7rFfgJCCCGEEOImGc6EEEIIIcqIDGdCCCGEEGVEhjMhhBBCiDIiw5kQQgghRBmR4UwIIYQQoozIcCaEEEIIUUZkOBNC... | <image>Find m \angle 5. | C | 5,995 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdUAAAGFCAYAAACrN2kAAAB1QklEQVR4nO3ddXxc15n/8c8dRo2YJcvMTCGHuUmaNE0bapqm7XbLDNttt9s27Ra2vzJtIdgkTcNMDhuSmBlkW7KYh/ne+/tjRiPJDGNLGj3vV72CdeyRZ+Z+7znnOc9RdF3XEUIIIcRJMwz3AxBCCCFyhYSqEEIIkSUSqkIIIUSWSKgKIYQQWSKhKoQQQmSJhKoQQgiRJRKqQgghRJZIqAohhBBZIqEqhBBCZImEqhBCCJElEqpCCCFElkio... | <image>Find x. | C | 5,996 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZUAAADCCAYAAACBp1/AAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | C | 5,997 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZUAAADfCAYAAAA+706FAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. | C | 5,998 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALEAAACQCAYAAABH2YpWAAAWwUlEQVR4nO2de1xTR9rHf9QoojEULFIlSgRE1NgFJepbUVy33l77ipXXdu22um7R7UW7S1tYq7ZWd3WtrqWttN2tbK26tRcXlV6813qBrhoU1NRiDDcJaqCAxECIRGb/SM8xIJcAObcw37/8JOfkzDl+mXnmzMwzXoQQAgpFwtwndAEolM5CJaZIHioxRfJQiSmSh0pMkTxUYorkoRJTJA+VmCJ5qMQUyUMlpkgeKjFF8lCJKZKHSkyRPFRi... | <image>Find x. Assume that segments that appear to be tangent are tangent. | A | 5,999 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAzoAAAGTCAYAAADgPWe7AACqGElEQVR4nOz9VXRj6YG38T6SSbItMjPbxczkqqYw85dJZjKZDCSTpDvn6qyzzs25OWudiy/pJMOYzGQyk2TC2FhVLmYmsy0ziS3WPhdyV1V3F3aBbNf/d5V0GV5LtvZ+9O79vibDMAxEREREREQWEXOmByAiIiIiIvKwKXRERERERGTRUeiIiIiIiMiio9AREREREZFFR6EjIiIiIiKLjkJHREREREQWHYWOiIiIiIgsOgodERERERFZdBQ6... | <image>Find y. | B | 6,000 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUEAAADzCAYAAAAYe6T7AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the ratio of the area of \triangle A B C to the area of square B C D E. | B | 6,001 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD6CAYAAACvZ4z8AAA6fklEQVR4nO3de1zO9/vA8VerKHIoklaUQ86HOcSIsS0sNsKcYsMPc5ph5jC1mTlsDtFO2DBsyjDGDlr03bRJ1HKMqBBqRO5I647K/fsjpfNJ3cfr+Xjs8eh797k/99v2dfXu+lzv6zJSqVQqhBBC6K1nNL0AIYQQlUsCvRBC6DkJ9EIIoeck0AshhJ6TQC+EEHpOAr0QQug5CfRCCKHnJNALIYSek0AvhBB6TgK9EELoOQn0Qgih5yTQl8Oq... | <image>If a = 10 \sqrt { 3 }, find C E. | C | 6,002 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVMAAADDCAYAAAA/WvKDAAAioElEQVR4nO3deUBU5f7H8fc0IIsIArIJ4gaIu6KAiYmZS9rirmlqdjPturTcymtZqfmzxVZLLW+aZqm5lJG2uKRSuKEiCm4ssggiuwICygzn94eCiAioAzMD39dfxTkzPoP44Tnf8z3Po1IURUEIIcR9eUDfAxBCiLpAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRA... | <image>If c = 8, find b. | B | 6,003 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUMAAAD+CAYAAACgEGcYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. Round to the nearest tenth. | C | 6,004 | null | C |
[
{
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[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAEeCAYAAAAAb/u3AAAetElEQVR4nO3dXWwVZ57n8V96PFpbgpSd3WgVkA9kQBkJ+bQ9RJlIbTo4O1KPgE3afWciIshNMHjSnZ2ItUQjTVqikbwoWqaz5qUvFqNY2HdruoVRt7Qdw/hEalnJ2PERF1FozLEwGjHCrsCuz2q9Yi9MlavOi1/rVNVT5/uRIrnOm5+QFL/zvP2f554+ffpUAAAY7HtRNwAAgI0izAAAxiPMAADGI8wAAMYjzAAAxiPMAADGI8wAAMYjzAAA... | <image>Find x to the nearest tenth. | D | 6,006 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATIAAAEKCAYAAACR79kFAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the measure of \angle T. | B | 6,007 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAF8CAYAAAAn5sY4AABjlklEQVR4nO3deVhU9f4H8PcwDPuuhCCiIJuKJihqglcylyxz71ZWmr8wb4Wmma2323brdrWy1Oxa3CxbzEpSq+uaqaGlKJjiBoqKICgKCAMDzAzz+2MWZmBmGIZltvfreXqecw5nDl9tHN58z+d8vgKFQqEAEREREZEDc7L0AIiIiIiILI2hmIiIiIgcHkMxERERETk8hmIiIiIicngMxURERETk8BiKiYiIiMjhMRQTERERkcNjKCYiIiIi... | <image>Each pair of polygons is similar. Find x. | C | 6,008 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAAD4CAYAAACE9dGgAAApG0lEQVR4nO3dfVzO9/4H8FeELlnsMppdWbGYm5xqU9bqjJ1FsrNFbsu9ZQijpVA5zZS5S5xIFArVbpTYSHS2dX45qWyK5q5QaDRcJvHVlOv3R65vXUld1XVd35vr/Xw8zuNxum4/O6e9+n7f3/fn/TVQKBQKEEKIQLXhegGEENIaFGKEEEGjECOECBqFGCFE0EQbYvH79mG+tzcYhuF6KYQQLRJliBUWFiI4aAUsLCwgkUi4Xg4hRIsMxNZi... | <image>Find z. | C | 6,009 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAEuCAYAAADoTFtJAAAy70lEQVR4nO3deVyTZ7o38B8gEgwoZRPZjCCKVFtUWltKtW491Vp7bHGqpzIuXWx1Xm0tXad2kZmu1Gn5HLX6dsStY6e4TB2rnbqN1lLbIjK1RpTFCAQBQ8qWhAgJ54/HPCQQSAhJniXX96+wJTeQ/HIv130/Xu2t1R0ghBDSI2+uG0AIIXxHQUkIITZQUBJCiA0UlIQQYgMFJSGE2EBBSQghNlBQEkKIDRSUhBBiAwUlIYTYQEFJCCE2UFAS... | <image>m \widehat J H = 114. Find m \angle 3. | A | 6,010 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAFICAYAAAA/JtUxAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 3. | D | 6,011 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAADXCAYAAAAjm1UgAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | A | 6,012 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAegAAAFACAYAAAB3H++PAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>If a \parallel b in the diagram below, which of the following may not be true? | D | 6,013 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 14, b = 48, and c = 50, find \cos B. | B | 6,014 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAEPCAYAAAB4Ns7+AABPl0lEQVR4nO2deViU5feHbzbZFQEVARXBBXHJBbUQNUErTTHXtDTTLMvKcinTMjNbzNTKfuVWLmXp1zWXMnPLDTXXXJBEEBAEEZB9EWbm98c4wwzrALMx89zX5dXQvAPPzLzzmfOe55zPsSguuCNDIBAIBAbD0tALEAgEAnNHCLFAIBAYGCHEAoFAYGCEEAsEAoGBEUIsEAgEBkYIsUAgEBgYIcQCgUBgYIQQCwQCgYERQiwQCAQGRgixQCAQ... | <image>Find m \widehat B X. | D | 6,015 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAEdCAYAAAAxRnE+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary. | C | 6,016 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb8AAAHDCAYAAAC08xTIAACOXElEQVR4nOzdd5xcZdnw8d+ZXrf3krYlu6kbQg+E3rvSFAuWR18bTQQVG4qKCCj2R30QVEAUpNfQewnpZXuym2zvO72d8/4xk5nZQJLdZMvs7vX9fGIwZAs7Z8517vu+iqJpmoYQQggxi+im+hsQQgghJpsEPyGEELOOBD8hhBCzjgQ/IYQQs44EPyGEELOOBD8hhBCzjgQ/IYQQs44EPyGEELOOBD8hhBCzjgQ/IYQQs44EPyGEELOOBD8h... | <image>Find m \widehat R Q. | B | 6,017 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAAF5CAYAAADj+4OIAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the height. | B | 6,018 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAF5CAYAAAAS6mexAAB3XklEQVR4nO39d3Ck9b33fb6vzjlKraxRmJwjk8g2YBMMBhvngAP2sc+5n2fr2dqq/WN3a7dqd6t2n9pQe9/nHIMNxsY+2GBsosmZSUxicpBGGkmt1N3qVud87R9Xq6WBAYZhFOf7qrIxskbTE9T96V/4fhRVVVWEEEIIIcS8p5vtByCEEEIIIa4MCXZCCCGEEAuEBDshhBBCiAVCgp0QQgghxAIhwU4IIYQQYoGQYCeEEEIIsUBIsBNCCCGE... | <image>Find m \angle 3. | C | 6,019 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAC6CAYAAAD/AsucAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>In the figure, G K \cong G H and H K \cong K J. If m \angle H G K = 42, find m \angle H J K. | A | 6,020 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb0AAADeCAYAAACpOd4EAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Express the ratio of \sin B as a decimal to the nearest hundredth. | C | 6,021 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANMAAADSCAYAAADQW/V8AAAgOElEQVR4nO2deVxTZ7rHf44wEIwoII0ICLJJbVBcQDsu2E5d2lJxufRemar1Sr1daHtth5l2bKu217laZ2o/1WlnqlO3jr2tA1XbumE72EIXUQFNESFa1CDGCAgCSTSY+0d6Tk5CAllOcrb3+9eJiYc3Oed33ud9fs/7vv3MZrMZBALBa37BdQMIBLFAxEQgsAQRE4HAEkRMBAJLEDERCCxBxEQgsAQRE4HAEkRMBAJLEDERCCxBxEQgsAQR... | <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | B | 6,022 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARIAAACaCAYAAABlo8ciAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | B | 6,023 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAx0AAAIzCAYAAABlSHRhAAEAAElEQVR4nOz9d3xc93Xn/7/uvdMbepkBQBLsvamLktWbS9xLHCd2YseOS37JJrubOHF3nDjZ3exmv3GJ4zhl7diOW1xkdcuyemMvYgVJYAZlUKfPrb8/7mAAkARFUUTlefqhB0kIGg9JYOae+znnvBXHcRyEEEIIIYQQYoaoc/0EhBBCCCGEEIubFB1CCCGEEEKIGSVFhxBCCCGEEGJGSdEhhBBCCCGEmFFSdAghhBBCCCFmlBQdQgghhBBC... | <image>U J = 9, V J = 3, and Z T = 18. Find Y J. | B | 6,024 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAFBCAYAAAC2H5J4AABZlElEQVR4nO3dZ3xUZdrH8d/MpPceQkKAQEjoJIQSIKGDdAi9SVGwoGBD0bWv7uqqa1dEepPeq5TQO4TeIb333qY8L1x9VFoyJJlMcn398MbMnHOlzPmf+9xNodPpdAghhBB6UBq6ACGEEMZLQkQIIYTeJESEEELoTUJECCGE3iREhBBC6E1CRAghhN4kRIQQQuhNQkQIIYTeJESEEELoTUJECCGE3iREhBBC6E1CRAghhN4kRIQQQuhNQkQI... | <image>If E B \parallel D C, find x. | D | 6,025 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAh0AAAFICAYAAAD0y0w+AABdI0lEQVR4nO3dd2Db933n/+cXewMcIAlq720tUrYleduyZXnvKdlO0ixntL22l96119710l7aX3JNndHkbMuStx3vPeS9RGovktqLIAlObOAL4Pv7AyRFUZRESRRFAu/HX61CkxQEgi98Pu+haJqmIYQQQghxlunO9TcghBBCiPwgoUMIIYQQg0JChxBCCCEGhYQOIYQQQgwKCR1CCCGEGBQSOoQQQggxKCR0CCGEEGJQSOgQQgghxKCQ0CGE... | <image>If P R \parallel W X, W X = 10, X Y = 6, W Y = 8, R Y = 5, and P S = 3, find S Y. | B | 6,026 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAD8CAYAAABtq/EAAAAxaElEQVR4nO2de0CUZdrGfwSmIKKgiCgCIiIqmiiohSa5mocOmnb4cst0Y/u+yk7bZ+tmrtZufR4qK13tgKtZ2ZarZgdNJdNE1wTBA4oCIuIo4shRcCAG5/tjYBhgBmZwYE73768X5mXmAd73eu/7eu7nflw0Go0GQRAEE7nF2gMQBMG+ENEQBMEsRDQEQTALEQ1BEMxCREMQBLMQ0RAEwSxENARBMAsRDUEQzEJEQxAEsxDREATBLEQ0BEEw... | <image>Find x. Round to the nearest tenth, if necessary. | D | 6,027 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT8AAAEYCAYAAAAqD/ElAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Round to the nearest tenth. | B | 6,028 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWYAAADFCAYAAABn2VjiAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary. | B | 6,029 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAEBCAYAAAB18mC6AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the regular polygon. Round to the nearest tenth. | C | 6,030 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOgAAADrCAYAAABjPdrWAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find x. A = 177 cm^2. | D | 6,031 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkgAAAIFCAYAAAAp2AIdAADf0klEQVR4nOzdd3zU55Xv8c/0PqMy6g1J9C5hTAcb99574ji97KaXzd7t5e7dbMpmd5Nsspvm2Ab33rANtsEG0yQQVUKAEGqjLk2vv/vHSKNCk0STRuf9Wq9jENIgzfx+Z57nPN+jUhRFQQghhBBCJKgv9wMQQgghhBhvpEASQgghhBhGCiQhhBBCiGGkQBJCCCGEGEYKJCGEEEKIYaRAEkIIIYQYRgokIYQQQohhpEASQgghhBhGCiQhhBBC... | <image>Find m \angle B. | B | 6,032 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWEAAADlCAYAAACCqUatAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the triangle. Round to the nearest hundredth. | A | 6,033 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVwAAAEFCAYAAACvl18TAAAi+UlEQVR4nO3de1iUdd4G8HsSYgADHcPJmBSVEHMyLU/tmLGlIqaokPbKmoe0Xc3D5vrqulrp1mYma25m6hZmWmlmaJh5wnqh0ExQKXFVBMWU3ElFRRIVcN4/hnnAYTjPPMf7c1177Rgy/mQub555+N3fn85ms9lAREQed4fUCyAi0goGLhGRSBi4REQiYeB62EXdYlzULZZ6GeQGfC2psRi4REQiYeASEYmEgUtEJBIGLhGRSBi4REQiYeAS... | <image>Find x. | A | 6,034 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAU4AAADoCAYAAACAYQ0uAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. | C | 6,035 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAF5CAYAAAAPuJtvAACgVElEQVR4nOzdd2Cdd3X/8fdz99S92tuWZVuSR7xXnL0XWYQkJIRAFqMFWuivtJSW0hbaUmihlJ0dSCCb7L2X914almVrb+nu8dzn+f1xteUhybK1zqsNjoUsy0a693PP93vOUXRd1xFCCCGEEDOGYaI/ASGEEEIIcXpJABRCCCGEmGEkAAohhBBCzDASAIUQQgghZhgJgEIIIYQQM4wEQCGEEEKIGUYCoBBCCCHEDCMBUAghhBBihpEAKIQQ... | <image>Find m \angle R. | B | 6,036 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEiCAYAAAAF7Y7qAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure at the right, which cannot be true if m \parallel l and m \angle 1 = 73? | A | 6,037 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEECAYAAAD6XUlTAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | D | 6,038 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAAEeCAYAAADBxHNeAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 7. | C | 6,039 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAwcAAAHKCAYAAABWsTcMAACfsklEQVR4nOzddXxW5/3/8dc5t9/xQAgQJBBc625Usfqq1Dv7bet89a5du6627zr31aAuq1FaqFKnhgQngQQSEhLiuf2c8/vjvrlhFaxA7P18PPZ4rC0kVwI55/pc10cMx3Ec9jDHcTAMY09/2C67DhERERGRrsDs6AWIiIiIiEjnYNi2vds3B1suHXb2dH5Xf/2X/d4t9vSNgG4YRERERKSnM3Y3rWhfpuwoPUhEREREZO9z785vUmAgIp3V... | <image>Find U Z. | B | 6,040 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAD5CAYAAADvLNVfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle 1 if A B \perp B C. | D | 6,041 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKcAAAEMCAYAAAChuqZ1AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,042 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARsAAAELCAYAAADp+yK6AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth. | B | 6,043 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYMAAADaCAYAAABEki6ZAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIM6gzSCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis20t6bu0rWcNrOvtoo53qmxxM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x so that p \parallel q. | C | 6,044 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaYAAADfCAYAAAC9K3e+AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>\triangle W X Y and \triangle X Y Z are isosceles and m \angle X Y Z = 128. Find the measure of \angle W X Y. | C | 6,045 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAIACAYAAACvsEnLAAD7pklEQVR4nOzddWBc2Xn38e+9w6Ah4YjJsKa110wyLGU3SfOGoQ1jU25D5TZNG2pKacNJ0wYaatLQZrNgkMz2mtcoZmlGwzxz733/uGPZu2vv2rJsS/L5/Ldaa3QljeY+c55zfo+UTKY0BEEQBEEQhGkh3+kLEARBEARBmEtEcSUIgiAIgjCNRHElCIIgCIIwjaRCoSD2XAmCIAiCIEwTsXIlCIIgCIIwjURxJQiCIAiCMI1EcSUIgiAIgjCN... | <image>H is the incenter of \triangle A B C. Find B D. | C | 6,046 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAacAAADiCAYAAADqDQjzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>A B is tangent to the circle. Find x. Round to the nearest tenth. | B | 6,047 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAD7CAYAAAAfH52VAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure in feet. Round to the nearest tenth, if necessary. | A | 6,048 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJcAAAD5CAYAAAAqYadTAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the perimeter of the figure. Round to the nearest tenth if necessary. | D | 6,049 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAArMAAAGcCAYAAADK9ShlAACY3klEQVR4nOz9V5DcZbqoez7pvc8sq/JW3nsJJwloTEOb1bSh3eq1945zzsSOmbuJuZiYm7k4c27OzcSZs/deqw20NzQNNEIOgSSQ96a89+m9z5yLLElVQgIBZVSl9xexeiEolf6SSlWvvvy+51MUi8UiQgghhBBCLEHKxX4AIYQQQgghvioZZoUQQgghxJIlw6wQQgghhFiyZJgVQgghhBBLlgyzQgghhBBiyZJhVgghhBBCLFkyzAohhBBC... | <image>Find m \angle A C D. | B | 6,050 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAE4CAYAAACpJRM9AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>In \triangle A B C, A D and D C are angle bisectors and m \angle B = 76. What is the measure of \angle A D C? | D | 6,051 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEiCAYAAAA1YZ/LAAA7A0lEQVR4nO3de1iU1doG8HsEhAEEBZGMSRAQD+EZqh2KVJ5wq6hkba00k8q+sjKD7VZLrSyTzMp2uk0zK3WXAaLluQIDc4sHUkxBUKgxQwQFgeHofH+M8zIzgAzwzvn+XVfXNcDMO0ti5pm11rOeR6JUKpUgIiISUQdTD4CIiKwPgwsREYmOwYWIiETH4EJERKJjcCEiItExuBARkegYXIiISHQMLkREJDoGFyIiEh2DCxERiY7BhYiIRMfg... | <image>Each triangle in the figure is a 30 - 60 - 90 triangle. Find x. | B | 6,052 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAADqCAYAAADefuzRAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x to the nearest tenth. | D | 6,053 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUAAAADmCAYAAACkolztAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure to the nearest tenth. | B | 6,054 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb0AAAD6CAYAAAA1BJkkAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | B | 6,055 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAM4AAADBCAYAAACHSY8RAAAaTklEQVR4nO2dfVRTZ57Hv2gsRDEKiKmCihERMVpQsJ2KxZ3W161CceyM3dapNu22c6gzjIPjmems7W7toXWtU3VeTkvramfaM3WlYl1t1XGkwowKCtpUEAFBgoqRACkYMqayf9zemxteQgj3uW95Pud4zg2G3Ickn/v8nt/9Pc8T1NXV1QUKhTIghkjdAApFiVBxKBQ/oOJQKH5AxaFQ/ICKQ6H4ARWHQvEDKg6F4gdUHArFD6g4FIofUHEo... | <image>Find the exact circumference of the circle. | D | 6,056 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXkAAADtCAYAAABagwXcAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in parallelogram A B C D. | C | 6,057 | 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 4 at vertex C. | C | 6,058 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAHYCAYAAADH6HvvAACf/UlEQVR4nOz9d3hc15nn+3535QhUFXImmMFMMQflZEXnLMm2HNrutrvndE/3zDn3PHPuOXNnuudMT0fbcpZt2ZZsWZatnCVSzDmTIImcUYXKOex9/ygAJCWQBECQSO/neWQJMFFYIKp2/fZa73qXommahhBCCCHEB+gmewBCCCGEmJokJAghhBBiRBIShBBCCDEiCQlCCCGEGJGEBCGEEEKMSEKCEEIIIUYkIUEIIYQQI5KQIIQQQogRSUgQ... | <image>Q S is a diameter of \odot V. Find m \widehat Q R T. | C | 6,059 | 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 5 at vertex C. | D | 6,060 | null | D |
[
{
"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 J F H = 34, find m \angle J. | B | 6,061 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQkAAAD6CAYAAACyGbJnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>m \angle 4 = 32. Find the measure of \angle 3. | C | 6,062 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANMAAAE3CAYAAAAwpXT5AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | C | 6,063 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANwAAADaCAYAAADNAyycAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+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 | 6,064 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAU0AAADKCAYAAAAhMhIQAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find x. Round to the nearest tenth. | C | 6,065 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAckAAAC+CAYAAABeb/S8AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle A to the nearest tenth. | C | 6,066 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYAAAACkCAYAAACejfkrAAAW7UlEQVR4nO3deVzVdb7H8RceEVDcQERlcUMNRYdQyASTmrK0RppSZ7JJbbmPlqvNTI3dJpuWmWluRU23W9m99+G0WFMzk41hjmuLC2pB4oaoKCgK4gnBJBQQDuf+UZAbh+1sv/N7P//qcTjLt+M53/f3/D6/z/fnZ7fb7YiIiOl08vQARETEMxQAIiImpQAQETEpBYCIiEkpAERETEoBICJiUgoAERGTUgCIiJhUZ/e8zFmOfvBLrl2wGluz... | <image>In \triangle P Q R, R S = 3 and Q S = 14. Find P S. | B | 6,067 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEMCAYAAAALXDfgAAAdZ0lEQVR4nO3dfVyUdb7/8RcNpBiiYooo3uW9ouUNaqLitlGbbVHHbk7u1uqu1Z7K81vPWX1Y1pq7J3+uVu6u5R5/62+1dh9unSyz2u70YZLgHYomiIqigIOIBAYaN8Iw5w8aEoGZAYa55pp5P/+aZq5Lvo3D2+98v5/PdQXZ7XY7IiJiKtcZPQAREWk5hbeIiAkpvEVETEjhLSJiQgpvERETUniLiJiQwltExIQU3iIiJqTwFhExIYW3iIgJ... | <image>Find x if A C = x - 3, B E = 20, A B = 16, and C D = x + 5. | B | 6,068 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOgAAAD8CAYAAAB97uj1AAAd+klEQVR4nO3deVxU9f7H8dc0jAICCiqLqECAG7igoKaW3ty7lZmZ6a2bVtatrt38efFhad26hpmm1m3x2qa2aOaWWd1cSi33BckNQRRQEAUBWQR0GM7vD4QQEQaY5czM5/l49HjkzJnxK/Dm+55zvuccjaIoCkIIVbrN2gMQQtyaBFQIFZOACqFiElAhVEwCKoSKSUCFUDEJqBAqJgEVQsUkoEKomARUCBWTgAqhYhJQIVRMAiqEiklAhVAx... | <image>Find the perimeter of \triangle A B C. | C | 6,069 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbEAAAD7CAYAAADkZKoPAAAruUlEQVR4nO3df1CU970v8DcGZEnQZc2hqdpFEENbs0SSHPUcUcGbGU10Esj5I8FcW7DNbUxyMm709NgaZ1xnjB2no13bJjE950ZsU0XvPeOSXk3wno5IWHPVia5hNR0SENgqVU7YXTBhjZtw/1ieh2d/sOzCPrvP8+z79U9UWHxUwpvv9/l830/G8PDwMIiIiFRoSqovgIiIaKIYYkREpFoMMSIiUi2GGBERqRZDjIiIVIshRkREqsUQIyIi... | <image>If B T = 5 and T C = 8, find C D. | A | 6,070 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgwAAAEVCAYAAACMt73BAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMdgyCCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrtzABEu26Fk/925YfbBx32FM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary. | C | 6,071 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAj0AAADTCAYAAABqQKLaAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>The area of trapezoid J K L M is 138 square feet. The area of trapezoid Q R S T is 5.52 square feet. If trapezoid J K L M \sim trapezoid Q R S T, find the scale factor from trapezoid J K L M to trapezoid Q R S T. | C | 6,072 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAAC5CAYAAAARZTsKAAAs4klEQVR4nO2de1hU1fqAXyVKvIuZEghKIqGZZELhJY1MftiFPJmZ19NN8XKOlsQpzcw08yjm5UiIWeaNyFOSlXIww0sZyZhCpIQowgSioYh5GRRxfn/QHrnMDAPM7Nl7WO/z+DzF3sxeM8x+91rft9b6muj1ej0CgUAgM7fYuwGq4EaRvVtgH5p2sHcLBA5ME4ft+TRWYdgTIStBHXAc+QjZqBchrUaJMuUjRCIQQnJ45JePEIvA1ghxqQLb... | <image>A E is a tangent. If A D = 12 and F E = 18, how long is A E to the nearest tenth unit? | A | 6,073 | null | A |
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