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": "iVBORw0KGgoAAAANSUhEUgAAARwAAACaAQMAAABBpGXSAAAABlBMVEX///8AAABVwtN+AAACWUlEQVR4nO3YT4vTQBQA8JnM2I6w7k4Pag9FkggL3gpe9jgbi4h48uTR/Qb1toLg7BrwIhjBg0f/4N2PMNmIePIzjOAH6HEPZetgXXameSXvECSL+6CQmfzy+voyCUkJuYjT2Fgzz04QiFTe9rXW0DZcUYhuwsgQv/A7MJoFmZ7DaE5KfTbc1SBaBOjgxQIM4yF6YCycyauJVXYE1hScFjcBVMWOV2emAKrV... | <image>AB and DE are parallel. The measure of angle BAC is 30 , and the measure of angle CDE is 50. What is the measure of angle ACD?
Choices:
(A) 100
(B) 90
(C) 80
(D) 70
(E) cannot be determined from the information | 90 | 5,474 | null | 90 |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJcAAACWCAMAAADkHeruAAAAwFBMVEUAAAIAAGYBAA0BABYBABkCARoFBB0ODSUPD28QDycRECgWFSwbGjAeHTMfH3kgHzUsK0AvL4IwL0M0M0c4N0s8PE8/P4xAP1JPT5VQT2BUU2RYV2hfX59gX29iYXBvb6lwb314d4V/f7KAf4yIiJSPj5mPj5qPj7yZmaObm6Wfn6ifn8Wnp6+vr7evr8+/v8W/v9nPz9TPz+Lf3+Lf3+zv7/Hv7/X///8AAAAAAAAAAAAAAAAAAAAA... | <image>Given a circle with the center indicated. Find x.
Choices:
(A) 100
(B) 80
(C) 50
(D) 40
(E) None | 40 | 5,475 | null | 40 |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQAAAAB2AQMAAAAdsN9NAAAABlBMVEX///8AAABVwtN+AAAB1ElEQVR4nO3WsU7DMBAG4IuM2sWUlaFDJlgYPGYiGxMPwSPkESpV4rlcdeA1PDEzMiCCzy6Jk95vI5BQhx5Dq+bD/XtKf5XoNOf6z+Du56DdiOBxeGasCB5K4LkEPktgOzyTQ1aqcIJKwNOvQDJlIGZIBqy6PG0f5x0BdxEfO3Bd1REolEAfwBq9gzkAh4CNYImuK4qgQUBHUFkYIYIVuk42gg5HCAAuwUeg... | <image>In the figure above, AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC?
Choices:
(A) 18
(B) 13.5
(C) 9
(D) 4.5
(E) 3 | 4.5 | 5,476 | null | 4.5 |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAAB2CAMAAAA9WwfqAAAAwFBMVEUAAGYBABkFBB0ODSUPDiYPD28QDycTEikUEyoeHTMfH3kgHzUjIjcvL4IwL0M8O04/P4xAP1JIR1lPT5VQT2BfX59gX29vb6lwb313d4R/f7KAf4yOjpmPj5qPj7yfn6ifn8Wvr7evr8+zs7qzs7u/v8W/v9nPz9TPz+LR0dbf3+Lf3+zv7/Hv7/X///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA... | <image>Given the circle at the right with two intersecting chords. Find x.
Choices:
(A) 2
(B) 6
(C) 8
(D) 10
(E) None | 8 | 5,477 | null | 8 |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASwAAACgCAIAAAA5GsY1AABGt0lEQVR4nO19d3xUVfr+md6TSSMECQgJNbRQAkhzEaSHJJTgCgQQBRV0gwgou+Ba0EURXUNVIRiqAgISFEKW0JQOUhSQGiCkz0ymlzvn98fznfO7mxBWNMlMknn+4DNM7tw5c+99z9ufV0ApJX74JOx2u1QqFQgElFK32y0SifC+2WxWKBRCoZAQgttnNpvVarU31+rHn4DAL4S+CbfbDTEjhFBKKaUul8vhcMhkMolEQgjhOA7CKZVKvbpS... | <image>In the diagram at the right, AC = DC = DB. If the measure of angle ACD is 48, find the measure of angle B.
Choices:
(A) 24 degrees
(B) 33 degrees
(C) 48 degrees
(D) 66 degrees
(E) None | 33 degrees | 5,478 | null | 33 degrees |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKMAAACXCAMAAABOWRsJAAAAwFBMVEUAAAMAAGYBAA0BABYBABgBABkPD28QDycVFCsfH3kgHzUoJzwvL4IwL0M/P4xAP1JPT5VQT2BUU2RfX59gX29vb6lwb314d4V/f7KAf4yPj5mPj5qPj7yfn6ifn8Wvr7evr8+/v8W/v9nPz9TPz+Lf3+Lf3+zv7/Hv7/X///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA... | <image>Given Circle O with diameter CD. AB is parallel with CD and AB=80*\degree. Find angle of arc CA.
Choices:
(A) 50
(B) 60
(C) 80
(D) 100
(E) None | 50 | 5,479 | null | 50 |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJYAAACSCAMAAACQTsPGAAAAwFBMVEUAAAAAAGYBAA0BABABABkPD28QDycRECgfH3kgHzUkIzgvL4IwL0MwL0Q/P4xAP1JPT5VQT2BfX59gX29iYXBoZ3Zvb6lwb314d4V/f39/f7KAf4yPj5mPj5qPj7yfn6ifn8WgX2mnp6+vr7evr8+/v7+/v8W/v9nPz9TPz+Lf39/f3+Lf3+znR0nv7/Hv7/X/AAD/Dw//Hx//Ly//Pz//T0//X1//j4//n5//r6//v7//z8//39//... | <image>Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x.
Choices:
(A) 4
(B) 5
(C) 8
(D) 10\sqrt(10)
(E) None | 10\sqrt(10) | 5,480 | null | 10\sqrt(10) |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATwAAACwAQMAAACozkBSAAAABlBMVEX///8AAABVwtN+AAAAsElEQVR4nO3XsQ3CMBSEYUOEZLoUHiSVWzJKRmAEj8AGMEJG8CgZISWdEbVf8ZNYAom70vp8z9Kr7JzyQbrm8JRawzOFPjMXewjDHUJ/myB8QBiWK4NxfTLoEnSCgoKCgoKCghtgpnBsDuvjn4MHcnUvLKsJx7qxt+CxHmRD42NgQyOCW2EBWYxGOFlQUFBQUFBQUFDwnULlnCEcvgcviblIG8MwMeibw0Df... | <image>A and B are equidistant from the line l. How many circles can be drawn with their centers on line l and that pass through both A and B?
Choices:
(A) 1
(B) 2
(C) 3
(D) 4
(E) >10 | 3 | 5,481 | null | 3 |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAN0AAACiCAIAAABK0l9ZAAAek0lEQVR4nO2daXBT1xXH73t6q1bLGwYLbIyNMcZstgFDypIYB1IyaUoKaVgGpv3QZjrT6UzIdJoOpcu0H0K/NNM0dKYZMg3QTNIUGloI7SQsNqZmacEE22CMd8AWWizpPb1F7/XDMbeqsWOHCGTL9/fBkWRZXL3837nnnnvuOZRpmigVicViCCFFUaxWK0IoEAikpaVpmsaybLKHRhgdKlV1iRCKRCI8z0ejUYSQKIoWiyUWi1kslmSPizA6... | <image>In the diagram at the right, parallel lines a and m are cut by transversal t, 1 = 4x + 16 and 2 = 2x - 22. Find 1.
Choices:
(A) 31 degrees
(B) 40 degrees
(C) 140 degrees
(D) 148 degrees
(E) None | 31 degrees | 5,482 | null | 31 degrees |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAICCAYAAACukuU4AACumUlEQVR4nOzdd3hc9ZXw8e+dXjTSqPdiSe7gggumuNB7KElIhwApS+omkPJuNpuebAppGzaFBEICZCFACCV0cAGDbYy75aIuq5cZaXq5d94/RhqNZMu2bElWOZ9n82CxRpalmXvPPb9TlFgsFkMIIYQQ4hh0Z/oLEEIIIcTkJYGCEEIIIUYkgYIQQgghRiSBghBCCCFGJIGCEEIIIUYkgYIQQgghRiSBghBCCCFGJIGCEEIIIUYkgYIQQggh... | <image>Find x. | A | 5,483 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvkAAAEZCAYAAAANEDpnAACEa0lEQVR4nOz913Ocd5rmfX7TZz7pLbz3oJchRXlvS1XVVe27Z97umd092Yg92Niz+Qf26D3c2Nh4d3umu6Z6ql1VSSpJpAxlaUSJHoT3Pr33mc8ePAmQUsmLFAHw/nQoOkoECQgEkFf+8rrvn05VVRUhhBBCCCHEnqG/0x+AEEIIIYQQ4taSkC+EEEIIIcQeIyFfCCGEEEKIPUZCvhBCCCGEEHuMhHwhhBBCCCH2GAn5QgghhBBC7DES8oUQ... | <image>Find m \angle 2. | C | 5,484 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPMAAAEaCAYAAADEymHBAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the kite. | C | 5,485 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAEuCAYAAADoTFtJAAAy70lEQVR4nO3deVyTZ7o38B8gEgwoZRPZjCCKVFtUWltKtW491Vp7bHGqpzIuXWx1Xm0tXad2kZmu1Gn5HLX6dsStY6e4TB2rnbqN1lLbIjK1RpTFCAQBQ8qWhAgJ54/HPCQQSAhJniXX96+wJTeQ/HIv130/Xu2t1R0ghBDSI2+uG0AIIXxHQUkIITZQUBJCiA0UlIQQYgMFJSGE2EBBSQghNlBQEkKIDRSUhBBiAwUlIYTYQEFJCCE2UFAS... | <image>m \widehat G H = 78. Find m \angle 2. | B | 5,486 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWYAAAEmCAYAAABRfjp6AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 5,487 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAFeCAYAAADqqTS3AAAsjElEQVR4nO3dXWwb573n8X/OyUUCtJmkRS7cLudIqZELg6y9CbwFQtUvxaI5omBHe0cKMuSeC4uK6212C5VYVkBdwBWgGt2mSWVRuYmFaEXeHdWGKLQXJy9H9EE3SNYpCV8UTZMOkeQiaJ1xAsQ4a6z2QpnRzPBl+DLDITnfDxDA4stwQon8zfM8/+d57tvd3d0VAADQ0N8FfQIAAPQ7whIAABeEJQAALghLAABcEJYAALggLAEAcEFYAgDg... | <image>Find m \angle B. | A | 5,488 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZcAAACxCAYAAAAI5PCSAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 5,489 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAHRCAYAAACCZMQIAADacElEQVR4nOzdZ3xUZdrH8d+ZPpPeewiB0JuCioBgb9hWRaUIKqBrr7urj+u6xXXXVey6iqB0Gzawi4WiokivKUAq6T3TZ855XkyYwIpKIJB2fT8fXogpJ2HmnP+5z3Vfl6JpmoYQQgghhBDdmK69D0AIIYQQQoj2JqFYCCGEEEJ0exKKhRBCCCFEtyehWAghhBBCdHsSioUQQgghRLcnoVgIIYQQQnR7EoqFEEIIIUS3J6FYCCGEEEJ0exKK... | <image>Find m \angle F E D. | D | 5,490 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaAAAADuCAYAAAB/E9PxAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | B | 5,491 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAAD5CAYAAADSpAuNAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth. | C | 5,492 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAosAAAIlCAYAAAC9/LKJAADJUElEQVR4nOz9Z3DkeX7feb7/NhNp4b0p2PLedVfbmR4/PdNj6SkNKVLkzJLa0IZ2b+8e3F7ck73VWq3IISmRWpHikhI53vvunnbV5b0DUPDeIw0y8+/uQWZVwXaXgc/vK2KCwSgU+l9VQOYXP/P5KJ7neQghhBBCCLEMdaMfQAghhBBCbF4yLAohhBBCiBXJsCiEEEIIIVYkw6IQQgghhFiRDItCCCGEEGJFMiwKIYQQQogVybAohBBCCCFW... | <image>Find x. | B | 5,493 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAesAAAEGCAYAAABFKb39AAA7DklEQVR4nO3deViVdfrH8TcBCYagkOKCKwioaC64JCS2uLVoatbozGRONjMtNjEN/Mxq1Gl0HB1zKpumyca00jFHTWsys2mkwA0UU1xAUFRc0MBAZBHw/P5Ajgdl58DZPq/r6rpOh+ccvsjhuZ/ne3/v7+1kMBgMiIiIiNW6xdIDEBERkeopWIuIiFg5BWsRERErp2AtIiJi5RSsRURErJyCtYiIiJVTsBYREbFyCtYiIiJWTsFaRETEyilY... | <image>Find E H if \triangle A B C \sim \triangle D E F, B G is an altitude of \triangle A B C, E H is an altitude of \triangle D E F, B G = 3, B F = 4, F C = 2, and C E = 1. | B | 5,494 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAC5CAYAAABOWHYGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the triangle. Round to the nearest tenth if necessary. | B | 5,495 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWAAAACzCAYAAAC3vMZ5AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the parallelogram. | C | 5,496 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARwAAADvCAYAAAAghWvjAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of b to the nearest tenth. Assume that segments that appear to be tangent are tangent. | A | 5,497 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAX4AAADbCAYAAABqfPoVAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAOhFwMMonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzEqVMn959v6/xLuzzs/X2pt8BlM9CuBKSS1OBtJ/gDg9uaCohIGBMQXIVi4vKQCxO4BskSKgo4DsOSB2OoS9AcROgrCPgNWEBDkD2TeAbIHkjESgGYwvgGydJCTxdCQ21F4Q4HVx9fFRCHY1Mje0... | <image>Find the measure of \angle T to the nearest tenth. | B | 5,498 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT4AAAEpCAYAAAAK604TAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of q to the nearest tenth. Assume that segments that appear to be tangent are tangent. | D | 5,499 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARIAAAD7CAYAAACmCxvdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth. | B | 5,500 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAa0AAAD0CAYAAAAooHm8AAAUCElEQVR4nO3dXWxUZ37H8X+y1hakJAcn8gWsZvLiai+iGYEUsReM42W7aiJstXAJiBVwE8yy0Xq7opZcpDpShOSirJxuWW17ZasocAmJbESqtmBwbqxKRDPKRbUOMKPgC2+wD4mEW7nrXpgzOfN25szLec55nuf7uSJmsI7ix8/veZ7zmzPPbG5ubgoAABp4Nu4LAAAgLEILAKANQgsAoA1CCwCgDUILAKANQgsAoA1CCwCgDUILAKANQgsA... | <image>Quadrilateral D E F G is a rectangle. If F D = 3 x - 7 and E G = x + 5, find E G. | A | 5,501 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAd4AAAFuCAYAAAAvVHm2AACH0ElEQVR4nOzddZic1dnH8e8zruvuG3cnQhIiuAR3ituLFFqgSGlpS2mR4u4uLe4SiCtJiCebja67juvzvH/M7uxudJOszp7PdXEFKN1skpm5n3POfX63pCiKgiAIHUJWFGQFgnLoR0VRaH6DNb/Tmv9ZouVvpFb/TiVJqFShH9WShBT+DwVBiASSKLyCIAiC0HVU3f0NCIIgCEJfIgqvIAiCIHQhUXgFQRAEoQuJwisIgiAIXUgUXkEQBEHo... | <image>The segment is tangent to the circle. Find x. Round to the nearest tenth. | B | 5,502 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAICCAYAAACukuU4AACumUlEQVR4nOzdd3hc9ZXw8e+dXjTSqPdiSe7gggumuNB7KElIhwApS+omkPJuNpuebAppGzaFBEICZCFACCV0cAGDbYy75aIuq5cZaXq5d94/RhqNZMu2bElWOZ9n82CxRpalmXvPPb9TlFgsFkMIIYQQ4hh0Z/oLEEIIIcTkJYGCEEIIIUYkgYIQQgghRiSBghBCCCFGJIGCEEIIIUYkgYIQQgghRiSBghBCCCFGJIGCEEIIIUYkgYIQQggh... | <image>Find m \angle A E B. | B | 5,503 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAHBCAYAAABUjNCbAACPrElEQVR4nOz9d3yb553ne39u9EqikwSbem+WLMlykXvvsZNMYieT2GkzO5nJ7J7Z9jznnN1nz+s5u2dnd2Z2Jpl0p9jJpLj3XtWb1bsodoIACIDo9T5/AIQoWbYlWhJA8vd+vZxYtHTplgjc9xfX9bt+l6KqqooQQgghRA1oan0BQgghhJi+JIgIIYQQomYkiAghhBCiZiSICCGEEKJmJIgIIYQQomYkiAghhBCiZiSICCGEEKJmJIgIIYQQ... | <image>G J is a diameter of \odot K. Find m \widehat G L H. | C | 5,504 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXYAAADJCAYAAAA3tRlxAAAbhElEQVR4nO3de1RU5f4G8AcBYQBBQURjSJSrRgoGeIGC00XUyguuMsvyWNjJtDz+TI9Hy65yFDW7aJ5SM63kmMdrlpodwwJToCAdAxENBDIiEBEZrs7vD5pxYBgYYGb2nj3PZ63WYobZs9+l0+M773d/92ujUqlUICIiyegh9ACIiMi4GOxERBLDYCcikhgGOxGRxDDYiYgkhsFORCQxDHYiIolhsBMRSQyDnYhIYhjsREQSw2AnIpIYBjsR... | <image>Find x. | C | 5,505 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANcAAAC7CAYAAAD2SwuUAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+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. | B | 5,506 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAawAAACYCAYAAAC4VN2jAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMegz6CUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisdruni1tlZa5emMsxZZ/PwTpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in the figure. | B | 5,507 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAADbCAYAAABgIFRHAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the shaded sector. Round to the nearest tenth. | D | 5,508 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEGCAYAAAB7DNKzAAAiZklEQVR4nO3dfVjV9eH/8ScBM0whIUQTBRQRFQ1vQANK27Ts1tRvN/atzKXbyqw1p/On+861TX9OZ13Omt24n7mbzJpa+9bCak0XOG8QyFAB8R40RVDwBgmO5/fH8RzPUfkAeu7P63Fduy48naNv2ZHXed98Xp8gs9lsRkREpAnXeXoAIiLi3RQUIiJiSEEhIiKGFBQiImJIQSEiIoYUFCIiYkhBISIihhQUIiJiSEEhIiKGFBQiImJIQSEi... | <image>M N Q R is a rectangle. If N R = 2 x + 10 and N P = 2 x - 30, find M P. | D | 5,509 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiUAAAGBCAYAAAC5CMGOAAAybklEQVR4nO3db0wc953H8W8qKoFkZ8CSH8TWbnBj5UG1W3ONfCd5Cdh90MpYSegzQFQkT2xcN6p7JwuJIJ0rOUjUuju3ORfIk9gKAp4dtgUoeXAODhvpzkoPd1d9ECUx2ZWdB5aCx45kpFriHuAZZmb/787u/Gbm/ZIisbAME9vAZ3+/7+/7fW5ra2tLAAAAPPYDr28AAABAhFACAAAUQSgBAABKIJQAAAAlEEoAAIASCCUAAEAJhBIAAKAE... | <image>Use parallelogram to find y. | C | 5,510 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASgAAAELCAYAAABqPxuBAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x to the nearest tenth. | D | 5,511 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAIXCAYAAAAMru/YAABiH0lEQVR4nO3db2xUd7rg+afvsLuOJuEAO0gL6aqYkIk0qCq4E9G5otw23NnpyLYAt+a+sC1HmHkBJr657XSWsdZYaloylnyZdJNOE2xW05iN1/aLu2oThK2kdxrsuNhOrE6TVClXYkJwqjqwI6SYQ7IbXjDDvihOcc6pU1XnVJ36d873IyGZcv05gHE9fp7f8zzfe/DgwQMBAACAb/xVpS8AAAAA5UUACAAA4DMEgAAAAD5DAAgAAOAzBIAA... | <image>Find m \angle Z. | D | 5,512 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAACxCAYAAAB9RY50AAAdIElEQVR4nO3de3yU5ZXA8V+YDCQhCeZGCIGEhGsg3EkQDMaiRaUWqIrb2oKU0rpl0Vq7urZuReqqtWzrxxVxu2WL4q0WRWFdRO1SkSCQcAkEEgghJJCLw5AEQm6YGWb/gAlDkslcM/Nezvfz8Q/JTOZN8s6Z53nO85wTYrPZbAghhPBKn2BfgBBCqJkEUSGE8IEEUSGE8IEEUSGE8IEEUSGE8EFosC9ABJsNS9MZDu/+kj1f7OZgcSFf7D+N... | <image>In rhombus L M P Q, m \angle Q L M = 2 x^ { 2 } - 10, m \angle Q P M = 8 x, and M P = 10. Find m \angle L Q M. | C | 5,513 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAD2CAYAAAD8vMNHAAAZ70lEQVR4nO3de3hU5YHH8W+cRAggGEKICOQuIZBwURJUcK31gmVdVPBeUUC0VRDXPvVpd+vq2l23tt0uWlF3Ky0VXGpFQKnrBdxWa1AhrEATCIm5gQkQw6XEkABJmP0jkAwhyZmZnDPnnJnf53n6+MScwUPP5Hfe85v3fRN1/MQJLyIiAYoiqsfvnxOi8xCRCBPdc/aIY0T5XClvhA02I/nv7jQ+18IoO6KjohQvbuB7nSLtxyuS/+5O5G9m... | <image>Use rectangle L M N P, parallelogram L K M J to solve the problem. If m \angle M J N = 35, find m \angle M P N. | A | 5,514 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAz4AAAFECAYAAADm7etWAAB7mElEQVR4nO3deViU5foH8C8OuywCEiiI7LigR1TQhILMPROXNq00T1pH08oM8+jpmKfyeCSz0jLTX5aVtrlgmWsmBqagYorKLrKIhCwCsg/z+wNmmGEWthlm+36uq+uad+adl0eTeed+nvu5bxORSCQCERERERGRAeuh7QEQERERERFpGgMfIiIiIiIyeAx8iIiIiIjI4DHwISIiIiIig8fAh4iIiIiIDB4DHyIiIiIiMngMfIiIiIiIyOAx... | <image>Each pair of polygons is similar. Find y. | A | 5,515 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAABBEAAAGLCAYAAACRPgrpAADn0klEQVR4nOz9dXdcd5rG/X6LmcUMlmV2zByyA01JOj3M3dPzHHgNz7s466xzzjPcA90z09Mc6MRO4pgpZhJLFkvFTHufP3ZJlmQ7lhXLovuzVpYhtmpLcklVV92/+9KpqqoihBBCCCGEEEII8RT6pb4AIYQQQgghhBBCrAwSIgghhBBCCCGEEGJeJEQQQgghhBBCCCHEvEiIIIQQQgghhBBCiHmREEEIIYQQQgghhBDzIiGCEEIIIYQQQggh... | <image>Find m \angle 4. | C | 5,516 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS0AAACjCAYAAADfLkjyAAAd3UlEQVR4nO3de1yUZd7H8Q+NsyYhiAiKIooCck5A0PBYaVptWfpk5WrlZrVZdm5rc8unWns62lNWbmZl2arpptXTQbNMVzGPiCgIiKKEko6AIAIGwzx/DOKADAw6cx+G3/v16vUSmsHLm3u+c92/6/rN7WGxWCwIIYROXKL2AIQQoi0ktIQQuiKhJYTQFQktIYSuSGgJIXRFQksIoSsSWkIIXZHQEkLoioSWEEJXJLSEELoioSWE0BUJLSGE... | <image>Find the ratio of M S to S P, given that M N P Q is a parallelogram with M R = \frac { 1 } { 4 } M N. | B | 5,517 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAISCAYAAACzjdcQAACtJklEQVR4nOz9d5CcZ3bne34zsyq9r8os76vgHUEDkgBIAvTdbJJN090yMxpppJHrbsXcuHFv3LsbNzY2YmdvbGzEXXW3RpoZSTOSRqO2ZJNsehIgYQkaEN6V91Xpvc9894/MShSKIAlTJrPqfP5hAERlvQVk5nvyec7zOypFURSEEEIIsaapV/oChBBCCLHypCAQQgghhBQEQgghhJCCQAghhBBIQSCEEEIIpCAQQgghBFIQCCGEEAIpCIQQ... | <image>In \triangle A C E, P is the centroid. P F = 6 and A D = 15. Find P C. | C | 5,518 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAAELCAYAAAClES9CAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | B | 5,519 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARAAAAD5CAYAAADvNmrrAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the regular polygon. Round to the nearest tenth. | C | 5,520 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARIAAAEPCAYAAACOf0tmAAAg80lEQVR4nO3deVxVdf7H8RddSFBcAEFREhX3fdcxS6csy0zT0tLKyTKbabLGppz2cpwWW6bN+k2LWTnamGUu5WQ5LiXmvqHiAuICIqKggCzC5fz+QBEQ4cK5l7u9n49Hj8eFey58De6b8znncz7HxzAMAxERE65w9gJExP0pSETENAWJiJimIBER0xQkImKagkRETFOQiIhpChIRMU1BIiKmKUhExDQFiYiYpiAREdMUJCJimoJERExTkIiI... | <image>Find a if c = 8, b = 10, and m \angle A = 60. | D | 5,521 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAEQCAYAAADPmxF3AAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find the area of the composite figure. Round to the nearest tenth. | C | 5,522 | 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 D C. | C | 5,523 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhoAAAHHCAYAAAD58fFKAACyZklEQVR4nOz9d3Rc15XnfX9v5ZyAQo4EMwjmTCpHKlKSFWxJtiU5u4M7zEzPvM9MP2v1zDwz09PRdreTLEuWLFk550BJzDmCASRyrpzjvff9o8AoZhIkgTofLy8vcwGFi1B1f3XOPntLqqqqCIIgCIIgjALN5b4AQRAEQRDGLxE0BEEQBEEYNSJoCIIgCIIwakTQEARBEARh1IigIQiCIAjCqBFBQxAEQRCEUSOChiAIgiAIo0YEDUEQBEEQ... | <image>Find A B. | D | 5,524 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP8AAADlCAYAAACcRSE3AAAmUklEQVR4nO2da1xTV9bGH2pQghG5iBFBoYCIGq0ooB2w2o73WvEy2qkztTqlvrVaHceX1lfbqZ0ZHavTsa3WdlpaKr39Wipe6mi11gGFqqCCGhW5iRpUyh2BEAnm/ZDJyQkkEJKT5CRn/T8dSEg2J3n2XnvtvZ/lptFoNCAIQnA85OgGEAThGEj8BCFQSPwEIVBI/AQhUEj8BCFQSPwEIVBI/AQhUEj8BCFQSPwEIVBI/AQhUEj8BCFQSPwE... | <image>Find x. Round to the nearest tenth, if necessary. | D | 5,525 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUwAAAESCAYAAACW6uzYAAAf5klEQVR4nO3de1xU57kv8B8ZKGKQqwgqIqIQQaQIghYxmlRjmr3bJJqkbRpt0ppkN5c2aZvuVNvkxGyzczlNPj3uJm0kTZr0mFtj4kmaapJtdQeMgqJBRC4KiCAiAoLIJQzO+WOcYWRu7zBrzbr9vn8txoHPq878WM963mdNkMVisYCIiLy6QukFEBFpBQOTiEgQA5OISBADk4hIEAOTiEgQA5OISBADk4hIEAOTiEgQA5OISBADk4hIEAOT... | <image>In quadrilateral P Q R S, P Q = 721, Q R = 547, R S = 593, P S = 756, and m \angle P = 58. Find m \angle R. | C | 5,526 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMAAAADoCAYAAAC5I+tcAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round side measure to the nearest tenth. | B | 5,527 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAAEGCAYAAAB7IBD2AAA3PklEQVR4nO2dfVxUZfr/3wSI6IiCIT6goqAi4gMIaIrpr820Jy3tSTcrV3J3W7R1S9fNWnPL1jTzm1ptRWtpaWWS9qy2pQU+IqCiIiKioogICALDyIzz+2PkMAwD88Aw5wzc79erVwOembmHOedzrutzX/d1u+n1ej0CgUBgI7fIPQCBQOCaCPEQCAR2IcRDIBDYhRAPgUBgF0I8BAKBXQjxEAgEdiHEQyAQ2IUQD4FAYBdCPAQCgV0I8RAI... | <image>In \odot P, P D = 10, P Q = 10, and Q E = 20, find P E. | C | 5,528 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAADsCAYAAAB5X2NSAAAvw0lEQVR4nO2de1xUdfrH38SwiAIKiIiMgoKIiqYoakLKtmrZTdPMze1im921zS392V3btTXZytLulGZla6ZGtWnqlhSYiuJtVOQugooICCKXYDi/P8Y5zMAAg86FOfN9v169OuCZmS8zZz7nuX2fx6Wurk5CIBAImnCNvRcgEAg6JkIcBAKBSVTXXCP0QSAQNEcog0AgMIkQB4FAYBKVi4uLvdcgEAg6IMJyEAgEJhHiIBAITCLcCoFAYBKV... | <image>Find m \angle C G D. | C | 5,529 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUcAAAC+CAYAAACmo80OAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find x. | C | 5,530 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAFHCAYAAAAWUAGrAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the measure of \angle D F B on \odot F with diameter A C. | B | 5,531 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAGNCAYAAADQNUy3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMdgyCCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrtzABEu26Fk/925YfbBx32FM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the value of x. | B | 5,532 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAEdCAYAAAA2KG1uAAAuFElEQVR4nO3dfVxUdd438A8CwSCigETKKIg8qUP5hLphYd1p2rZhurZXbtn6WtzdNm3XbWndaje77urlldde7qZb3UVb1qa766pZbT716oLC1gSRYlSeJNBBxZFRRmAgBub+Y5zDGRhgZpiZc87M5/3XADPDDz3nM7/z/T2cIIvFYgEREUlmhNQNICIKdAxiIiKJMYiJiCTGICYikhiDmIhIYgxiIiKJMYiJiCTGICYikhiDmIhIYgxiIiKJ... | <image>Circle L has a radius of 32 centimeters. L H \perp G J, and G J = 40 centimeters. Find L K. | B | 5,533 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUsAAAD3CAYAAACUyHYkAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round the side measure to the nearest tenth. | D | 5,534 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATkAAAC0CAYAAADvuFtDAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round side measure to the nearest tenth. | A | 5,535 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAEBCAYAAAAuOv2LAAAehElEQVR4nO3de1hUBeLG8e8IiCBeQJEMUlS8lJfM0nLTsrI1Le9lpbVrt93csnRdy9/aptW2XazdVrfrapZbtmniaq1mWmFplqaZWRZComIsogiIXASc3x8KjchtZs7MOTPn/TzPPg8KDGc1vp6ZOe/gcDqdTkRExG2NzD4AEZFApYCKiHhIARUR8ZACKiLiIQVUAtY/Vn5PZs4xsw9DbEwBlYC0cWc2k9cfYMw/vlRExTQKqASc4tJypi79... | <image>Find y. | B | 5,536 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAGjCAYAAAD0GMZXAACT2klEQVR4nOzddXTU19bG8e9YJhN3T0gCEdydFilaNyrUhba3btSFuru7t0DdkAKlFHe3uLvLZHzuHwk/QgUChcwk2Z93sd4VLklOmpl55pyzzz4qp9PpRAghhBDtSu3qAQghhBBdkQSwEEII4QISwEIIIYQLSAALIYQQLiABLIQQQriABLAQQgjhAhLAQgghhAtIAAshhBAuIAEshBBCuIAEsBBCCOECEsBCCCGEC0gACyGEEC4gASyEEEK4... | <image>In \odot B, m \angle L B M = 3 x and m \angle L B Q = 4 x + 61. What is the measure of \angle P B Q? | C | 5,537 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkkAAAF8CAYAAADb3y+3AAAxK0lEQVR4nO3deXwU9eH/8XfchCOEQNCAIeEIJOFIgoRThSpa8a5UarWiqAit+i3aYqs9rN/a2tPWo4r6U7Fo9evFtyhatVq+LSqHcgUh4QokGAIBAoQjEGOy7O+PkL2YTfaY3Z3dfT0fjz4endndyQjMziszn5lJcjgcDgEAAMDDadFeAQAAACsikgAAAAwQSQAAAAaIJAAAAANEEgAAgAEiCQAAwACRBAAAYIBIAgAAMEAkAQAAGCCSAAAA... | <image>If P R \parallel K L, K N = 9, L N = 16, P M = 2 K P, find M R. | C | 5,538 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdgAAAFZCAYAAAA7NT7kAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMjAxaCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisAzE/mqMZRJ9vLbg2Z0nKum2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>In the figure, m \angle 3 = 110 and m \angle 12 = 55. Find the measure of \angle 10. | A | 5,539 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbQAAAFwCAYAAADQTY7kAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y if m \angle 5 = 68 and m \angle 3 = 3 y - 2. | C | 5,540 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAFGCAYAAADNbJzSAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAOhFwMMonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzEqVMn959v6/xLuzzs/X2pt8BlM9CuBKSS1OBtJ/gDg9uaCohIGBMQXIVi4vKQCxO4BskSKgo4DsOSB2OoS9AcROgrCPgNWEBDkD2TeAbIHkjESgGYwvgGydJCTxdCQ21F4Q4HVx9fFRCHY1Mje0... | <image>Find the measure of \angle T to the nearest tenth. | C | 5,541 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbkAAAEKCAYAAACPCivzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find z. | C | 5,542 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAADICAYAAAAdgt+FAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round the side measure to the nearest tenth. | B | 5,543 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAGRCAYAAAAgkRSIAADqAUlEQVR4nOz9Z5Bc553veX5Pem/Lew/vvSVBL4myLXZL6pbaybW59+5s7NzdiHmzGxs7MRsxd2Z2+t6WWuq+7WRaLe9FEiRBeO9dee8rvbdnX5xEASQMAbCAygL+nwgFu8mqrASqKs8/n/P8np+iqqqKEEIIIYQoC7rFfgJCCCGEEOImGc6EEEIIIcqIDGdCCCGEEGVEhjMhhBBCiDIiw5kQQgghRBmR4UwIIYQQoozIcCaEEEIIUUZkOBNC... | <image>Find m \angle 1. | C | 5,544 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOMAAAEJCAYAAABmJpAcAAAcgklEQVR4nO2deXxU5b3/38lkQgYSE8MA2SCBQAiLkEAAWa3Iq4oWLaBtfve6XL3Xtvqr0iv6q0sttffagvXW5V57VaqI2ltL1boUF35qRRGUxVDZAiGQjSwQQvZtMjP3j2GSASYzZ5JZzvJ9/5OT5Dk5z0zOe57l85xzono6q50IghBxoiNdAUEQXIiMgqASREZBUAkioyCoBJFREFSCyCgIKkFkFASVIDIKgkoQGQVBJYiMgqASREZBUAki... | <image>Find B C if B E = 24, C D = 32, and A B = 33. | A | 5,545 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAADfCAYAAADRAef+AAA30ElEQVR4nO2dd0DU9f/HH3iQLJUhCAIKigqIK3GRWe6tiTkqnFmmplnZzsz89k3NMs3Usq/+SspyZrnKQWbhwpEDUFBBpoIMGce8+/1x3gl4B3ccN5D34y/53Oc+977zPs97vV/TorQwRY5AIBDUkAamXoBAIKjbCBERCAR6IUREIBDohRARgUCgF0JEBAKBXggREQgEeiFERCAQ6IUQEYFAoBdCRAQCgV4IEREIBHohREQgEOiFEBGBQKAX... | <image>Use parallelogram A B C D to find m \angle B C D. | C | 5,546 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbkAAAEKCAYAAACPCivzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | B | 5,547 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAAD8CAYAAADdVNcyAABDJUlEQVR4nO2deVhUZf/GPwiIIIKgiAQCCoIoLuCa4JJhqZVralqallZu9fqW5k8rNV/NNPPNXDJ3M33V1DRzpcLCDRUXUNlUVBARZRMBheH8/oCBYd9mn+dzXVwXzJwZnjlz5p7n3Od7fx8jSZIkBAKBQKAS6mh6AAKBQKDPCJEVCAQCFSJEViAQCFSIEFmBQCBQIUJkBQKBQIUIkRUIBAIVIkRWIBAIVIgQWYFAIFAhQmQFAoFAhQiRFQgE... | <image>Use parallelogram A B C D to find m \angle B C F. | B | 5,548 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAABBEAAAGLCAYAAACRPgrpAADn0klEQVR4nOz9dXdcd5rG/X6LmcUMlmV2zByyA01JOj3M3dPzHHgNz7s466xzzjPcA90z09Mc6MRO4pgpZhJLFkvFTHufP3ZJlmQ7lhXLovuzVpYhtmpLcklVV92/+9KpqqoihBBCCCGEEEII8RT6pb4AIYQQQgghhBBCrAwSIgghhBBCCCGEEGJeJEQQQgghhBBCCCHEvEiIIIQQQgghhBBCiHmREEEIIYQQQgghhBDzIiGCEEIIIYQQQggh... | <image>Find m \angle 5. | C | 5,549 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAADECAYAAABqQB/+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the kite. | C | 5,550 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADcCAYAAABH9duMAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find z. | B | 5,551 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAACzCAYAAAB1jIL9AAAkeElEQVR4nO2deUBTV9rGHzQKQYwSxKisIlCwuItLwaXWDacVl+niUqZO6TJurW3t5nSs09I6Wsf5lNpOxWldilNbqajVam0HLK0KVLGiIltREytGAkYgiQbz/RHuJYRcspA97+8fk5Dce0zOfe55l/O+XhqNRgOCIAgDdHL0AAiCcF5IIAiC4IQEgiAITkggCILghASCIAhOSCAIguCEBIIgCE5IIAiC4IQEgiAITniOHgBhPWRyJW7KVZDW... | <image>Find the measure of m \angle 3. Assume that segments that appear tangent are tangent. | C | 5,552 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAU0AAACOCAYAAAC1+1pqAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 5,553 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR0AAAD9CAYAAACBWaNNAAArQElEQVR4nO3de1jUZf7/8acLLKIIAiEeEBERUdFERU0o3VYz2xLTrNUt0w3b3dJ2/e5ibtaa2+qWVpbZaXWztNXMTaVarfRXWnjE1AQNAQUVRERBDjIQ4Pz+GGeYgQEGmPnMfGbej+vqugYZ4I7Da+7T+77babVaLUIIoZCf2bsBQgjXIqEjhFCUhI4QQlESOkIIRUnoCCEUJaEjhFCUhI4QQlESOkIIRUnoCCEUJaEjhFCUhI4QQlESOkII... | <image>In \odot A, m \angle E A D = 42. Find m \widehat C B E. | B | 5,554 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARYAAAERCAYAAAC+SIj3AAA+VUlEQVR4nO2deVyU5fr/3zCObLLIJoIigijikguVkkumntLMMrVjv7TUOrZ4jnXMk9W35ZSnso7Hym+rLVra106alplWbmVGpaiYiguCiGziMAIDDOMww++PcYYZGGCAWR5m7vfr5es1I88wNzPP83mu63Nf93V71dYU1iEQCAR2xNvVAxAIBO6HEBaBQGB3hLAIBAK7I4RFIBDYHSEsAoHA7ghhEQgEdkcIi0AgsDtCWAQCgd0RwiIQCOxO... | <image>In \odot R, S U = 20, Y W = 20, and m \widehat Y X = 45. Find S V. | A | 5,555 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAAD4CAYAAADLqNJwAAAlmElEQVR4nO3de0DN9/8H8GerxrGGDi0UxQrRVnPJF2323TdULlGu5RLKJWyzFKvTfFHmlvgil3KvGGrZpkjbb7bMXEZhtalZ6IyGExanKOf3R85R6f4553xur8d/53TO6e3Ss/fn/fq8X28DlUqlAiGENNErbA+AEMJvFCKEEEYoRAghjFCIEEIYoRAhgjZy+odsD0HwDKg6QwhhgmYihBBGKEQIIYxQiBBCGKEQIYQwQiFCCGFE1CGSm5uL... | <image>Find z. | C | 5,556 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARsAAADsCAYAAABEzQI0AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | D | 5,557 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPoAAAD7CAYAAABDsImYAAA6/0lEQVR4nO2de0BUZfrHPzgQFxEERURQARFR8YKKmlq6pdltxTQr3S5a5Lalbdbautlm7m8tyy0rrbayTCutvKR287alhZmK4AUREAVxEBEBuQ7IDPP7Y5zDzDAwAwzMGeb9/OMMc+bMceZ83/d5nvd5ntelpqZGi0AgaNd0sPcFCASC1kcIXSBwAlw7dBBaFwjaO0LlAoETIIQuEDgBri4uLva+BoFA0MqIGV0gcAKE0AUCJ0CY7gKBEyBm... | <image>In \odot X, A B = 30, C D = 30, and m \widehat C Z = 40. Find m \widehat Y B. | B | 5,558 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbkAAAFCCAYAAABsAaPyAAAvqklEQVR4nO3db0xbab4f8N9u6b1OC+M4La0A8S/c8VUtAx4ihnacBHIrJUqmLZ53JppVYF9MMoxu4wzaRpoghUgkUnaUiaNKTGZfLI66Cn7RasxehZS82DgkHimDhnHApVt2AS8WQd10MR5yC7qX2/SFY3L+2fjP+fOcc74faaXBgONN7PM7z+95nu/zo1evXr0iAAAAA/qx1i8AAABAKShyAABgWChyAABgWChyAABgWChyAABgWChyAABg... | <image>Quadrilateral M N O P is a rhombus. If P R = 12, find R N. | B | 5,559 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAGUCAYAAAABJOmlAACFqUlEQVR4nOzdd3jV93n//+c5R2fraJ6jBWJPIRB7bw3wAO8ZZzp7N2nSNr80bdO0Tb9Nm9hJ48QZjpM6xtuAF0hibwwIkARiCgSSjs7RPnt8Pr8/jhDYiC3Quh/X5euqU3R8AOmc13m/76FRVVVFCCGEEKIX0Pb0ExBCCCGEuECCiRBCCCF6DQkmQgghhOg1JJgIIYQQoteQYCKEEEKIXkOCiRBCCCF6DQkmQgghhOg1JJgIIYQQoteQYCKE... | <image>Find x. | B | 5,560 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAHFCAYAAACn7hC1AADBhklEQVR4nOydd3xb9fm2r6O9ZXnb8bZjO3sQSCAQAklIIGGUWQrdiwJt3+6WUrpbStePtkChm1koGxJGQkIghCyyh/fe25a1x3n/kCxLznIcO7Gd7/Upn9ipI9uSzjn3eZ77uR9JlmUZgUAgEAgEghGgONs/gEAgEAgEgomLEBICgUAgEAhGjBASAoFAIBAIRowQEgKBQCAQCEaMEBICgUAgEAhGjBASAoFAIBAIRowQEgKBQCAQCEaMEBIC... | <image>Find m \angle Z. | B | 5,561 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAFWCAYAAACbwcKjAACN8klEQVR4nOzdZWBc17W38ecMo0bMZFloZrbjMDM51DA1TcpM97a9hbdN2zAzp2GOkzh2zMxC22JmDeN5P4wsO2kMMstev4+uOhopR2fWWXvv/1La2jpURVHYndls4pv/ZjQa/uvfNBoNQgghhBDHO8Xv96vf/EetVivFkRBCCCFEP903CyPgv4olIYQQQogTmbSNhBBCCCH2QQomIYQQQoh9kIJJCCGEEGIfFFVV/2vTtxBCCCGE2EU6TEII... | <image>Find x. | B | 5,562 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAADSCAYAAAA/vMlrAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | D | 5,563 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAGBCAYAAACaU5BbAACZb0lEQVR4nOzddXhc95Xw8e8dRs2IWbLIDIkTx04chzlN0kADTZm52y3tdtu+5S3TlpmDTQMNJw444JDZlm0x00gaDfN9/5jRCEySLFl0Ps/maeuNbFkzc++553dAUVVVRQghhBBigdDM9jcghBBCCDGdJLgRQgghxIIiwY0QQgghFhQJboQQQgixoEhwI4QQQogFRYIbIYQQQiwoEtwIIYQQYkGR4EYIIYQQC4oEN0IIIYRYUCS4EUIIIcSC... | <image>P Q is tangent to circles R and S. Find P Q. | C | 5,564 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEhCAYAAACA4jApAAAWxElEQVR4nO3dT2wUZ5rH8V9WHIyUoTGSD2TkxoRoD6NuJbsjLmkPkD1khBGM92ZbHpm9jM0yiXJhLHmQlgNjyUJaoc2wmLmMvbGwj86MbDRzCSbuHNbSimy35jTeMd0CHyxhCiLhA5L30F3ltx33P7u7qvqt7+fUCkUoQffPT7/1Ps/71vb29rYAAFb4u6BvAADQOIQ6AFiEUAcAixDqAGARQh0ALEKoA4BFCHUAsAihDgAWIdQBwCKEOgBY... | <image>For trapezoid Q R T U, V and S are midpoints of the legs. If V S = 9 and U T = 12, find Q R. | A | 5,565 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMIAAADrCAYAAAA7QknPAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round the angle measure to the nearest degree. | B | 5,566 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcgAAAGVCAYAAAB6sWHDAAB1cklEQVR4nO39d3hc15Xn/X5P5VxIFZCZcw4ilbNtSbZs2ZItJ1l22+50u2fGE995Z+6d7nkm9ExP93Swu91tyzlLli3bypmiJEYxk2BGrABUoXKuc+4fVQBBCiRBEGQhrI8fPiJh4vCQQJ1f7bX3XlvRNE1DCCGEEOfR1foGhBBCiOlIAlIIIYQYhwSkEEIIMQ4JSCGEEGIcEpBCCCHEOCQghRBCiHFIQAohhBDjkIAUQgghxiEBKYQQQoxD... | <image>In \odot C, m \angle H C G = 2 x and m \angle H C D = 6 x + 28, find m \widehat E F. | B | 5,567 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANMAAADICAYAAAByFtSBAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+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 | 5,568 | 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 \angle B D A. | B | 5,569 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAIACAYAAACvsEnLAAD7pklEQVR4nOzddWBc2Xn38e+9w6Ah4YjJsKa110wyLGU3SfOGoQ1jU25D5TZNG2pKacNJ0wYaatLQZrNgkMz2mtcoZmlGwzxz733/uGPZu2vv2rJsS/L5/Ldaa3QljeY+c55zfo+UTKY0BEEQBEEQhGkh3+kLEARBEARBmEtEcSUIgiAIgjCNRHElCIIgCIIwjaRCoSD2XAmCIAiCIEwTsXIlCIIgCIIwjURxJQiCIAiCMI1EcSUIgiAIgjCN... | <image>H is the incenter of \triangle A B C. Find m \angle H A C. | D | 5,570 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZgAAADcCAYAAABNhbebAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 5,571 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASYAAACeCAYAAACfKqd2AAAcf0lEQVR4nO3deUBU9frH8TcOaCAugIQEGihoJG4l6g1SK3E3d03LrbhWVr/Ssry2qGWLWlnX0qvi3k3NXFCvmqmpibnlBooirmCIBCgiizCe3x8IjiPDDDgzHGae13/omZkzcOaZz/l+v885DoqiKAghhIpUqegdEEIIfVKYhBCqI4VJCKE6UpiEEKojhUkIoTpSmIQQqiOFSQihOlKYhBCqI4VJCKE6UpiEEKojhUkIoTpSmIQQqiOFSQih... | <image>W X Y Z is a parallelogram. Find m \angle Y Z W. | D | 5,572 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAH7CAYAAAB8ALMEAADyFklEQVR4nOzddXhc17X38e8ZRjFLlizLzDHFGNthZm7aJm3aW27K+Pbe8m2b4g0U07QNNYwNOI4DppgZJNlCW4zDcM55/xh5BJZkSZZs2V6f58ljiCyN5Zkzv7PW3msruq7rCCGEEEKIUcdwuh+AEEIIIYTonQQ1IYQQQohRSoKaEEIIIcQoJUFNCCGEEGKUkqAmhBBCCDFKSVATQgghhBilJKgJIYQQQoxSEtSEEEIIIUYpCWpCCCGEEKOU... | <image>Find m \angle H. | C | 5,573 | null | C |
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