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": "iVBORw0KGgoAAAANSUhEUgAAAVYAAACVCAYAAAADpNItAAAf50lEQVR4nO3deVyU5frH8Q8OI4sjsohIoCyuKO4ilrhUmlq55NKipZXtLqUdy6xTeU6r/EpTs42TWudY5pZLmVqaCpqQubEoqyioiCziyAAzw/P7AzGUxVEHhhmu9+vlHzKPMxf48J17rud+7ttOURQFIYQQZtPI0gUIIYStkWAVQggzk2AVQggzk2AVQggzk2AVQggzk2AVQggzk2AVQggzk2AVQggzk2AVQggzk2AVQggzk2AVQggzk2AV... | <image>Let J K be the median of A B T Q. Find J K. | C | 6,074 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvIAAAHlCAYAAACXoBjyAACtiUlEQVR4nOzdd3Qc9b0F8DuzfdW7ZHXJVe69YONuYwMB0wIJCYFACAECIQRCMW70FjrhhRBICARC6MW9945tFRf13tv2MvP+kLSSbDXbKlvu5xzOec+RbVnS7n73N3e+V5BlWQYREREREXkUcaA/ASIiIiIiOn8c5ImIiIiIPBAHeSIiIiIiD8RBnoiIiIjIA3GQJyIiIiLyQBzkiYiIiIg8EAd5IiIiIiIPxEGeiIiIiMgDcZAnIiIiIvJA... | <image>Find x. | B | 6,075 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD7CAYAAACRxdTpAAA9OElEQVR4nO3deVyU5f7/8RcCKoQbqwiyCSiKmihqrlRq5qlIzUpLs5PVaV/157FFrWPnpG3fk2mdNJfUFnPNVs20xAXXFBc2WQQR2WSRRRjm98c4w6DsMsw993yej0ePB8nijTPznuu+7ut63zZarVaLEEIIVWll7gMQQgjR/CTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTc... | <image>Use parallelogram J K L M to find m \angle J K L if J K = 2 b + 3 and J M = 3 a. | C | 6,076 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAD5CAYAAADvLNVfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle 6 if A B \perp B C. | B | 6,077 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVUAAAFSCAYAAABCCUyWAABJpklEQVR4nO3de1xT9/0/8BcFClEKgsWoROUmoEYrCGiFit9WqvZG1VInv1Vl0q4317IO5tRWbatjss5a7V1ntZvOUVFq632tWLAKKFSjAoKiBjVFYkEgpCTm98cxh0RyhZPkJLyfj4ePR5CT5AAn7/O5vD/vj5tGo9GAEEIIJ+5x9AkQQogroaBKCCEcoqBKCCEcoqBKCCEcoqBKCCEcoqBKCCEcoqBKCCEcoqBKCCEcoqBKCCEcoqBKCCEc... | <image>Find the perimeter of the polygon for the given information. B Y = C Z = A X = 2.5 diameter of \odot G = 5. | C | 6,078 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAJyCAYAAADdIyQdAADxw0lEQVR4nOz9d3Sc55Xv+X4r5wwUMkCCYM5UIClSJJVlyUmyZDm0Q7vbdrttdzrnzr0z98ycM7PmrHvv9JnObttybLvbQbIl2QpWlphJiRmMAAEix8o5v/ePKhZJCZQIEiAKwP6spT9Mo4pvgYV6f3ie/eytUhRFQQghhBBCXBP1TF+AEEIIIcRsIuFJCCGEEGISJDwJIYQQQkyChCchhBBCiEmQ8CSEEEIIMQkSnoQQQgghJkHCkxBCCCHE... | <image>In \triangle R S T, Z is the centroid and R Z = 18. Find S R. | D | 6,079 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhgAAAHjCAYAAABhOWZXAADKYklEQVR4nOz993db17bg+X43wAQQkQTBnJMCSeVIybZky1EOkmyfcG/Vreqq6tFdv3SP98+8N+p1VXXXq3POPcc525KzROVEUqQYJOYIkCByIMJ+PwCiKInKTKLmZwx72CTCArix98Saa82pqKqqIoQQQgixiDQrPQAhhBBCrD0SYAghhBBi0UmAIYQQQohFJwGGEEIIIRadBBhCCCGEWHQSYAghhBBi0UmAIYQQQohFJwGGEEIIIRadBBhC... | <image>Find \angle 6. | D | 6,080 | null | D |
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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 C G D. | D | 6,081 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm4AAAIBCAYAAADwCjOcAACOJElEQVR4nOzdZ2Bj53Xn/+9FJ1HYQJAA+/Tem6ZII42qVa1iWVaXXNKcTXY3m+ymbNruZrP7T7JJ7MRWlyVZsiXLsmS10fTeey+cYUEniE70+38Bzki2pdEUNnDOx69MkeCdGQD3h+c5zzmKqqoqQgghhBBixNMM9wUIIYQQQoiLI8FNCCGEEKJESHATQgghhCgREtyEEEIIIUqEBDchhBBCiBIhwU0IIYQQokRIcBNCCCGEKBES3IQQQggh... | <image>Find m \angle 4. | C | 6,082 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfgAAAHuCAYAAABzpx75AACq7ElEQVR4nOz9d5xj15nf+X8uMqqAAlABlWPnHNiR7GamKIoURUoUJVKiSFHSjDxee23NrNe767G9/q29TjP2eGfGGiWKSYEUxZwzm+xuks3OOVQOQCXkjIv7++OiUFXNzl3NQlU973n1i+qeKvTtAnC/OOc55zmKpmkaQgghhJhVDNN9AUIIIYSYehLwQgghxCwkAS+EEELMQhLwQgghxCwkAS+EEELMQhLwQgghxCwkAS+EEELMQhLwQggh... | <image>In \odot P, the diameter is 9, find the length of \widehat Q T. Round to the nearest hundredth. | A | 6,083 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAACqCAYAAABS4t+GAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find the measure of \angle 2. | A | 6,084 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAGICAYAAAB1MCtFAACJEElEQVR4nOzdd3xcZ5n//c/0Puq92XKVe+92eiOBFCAQEiCUhAAhBRbY3d/DsnRYdtMpoaWSEEJ6T5xiO7YT23FvKras3uv0OXPOef4YWc2OiyzbI+l6v17gkMS2sKQz37nvqxh0XdcRQgghhEgAxrP9AQghhBBCHCbBRAghhBAJQ4KJEEIIIRKGBBMhhBBCJAwJJkIIIYRIGBJMhBBCCJEwJJgIIYQQImFIMBFCCCFEwpBgIoQQQoiEIcFE... | <image>Find x. | B | 6,085 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPwAAAEACAYAAACXjBuxAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find x. | D | 6,086 | null | D |
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{
"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 K P. | A | 6,087 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZcAAACxCAYAAAAI5PCSAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | D | 6,088 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAE+CAYAAACjqUZSAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find the value of the variable x in the figure. | C | 6,089 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPIAAAE0CAYAAAAWrm65AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAOhFwMMonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzEqVMn959v6/xLuzzs/X2pt8BlM9CuBKSS1OBtJ/gDg9uaCohIGBMQXIVi4vKQCxO4BskSKgo4DsOSB2OoS9AcROgrCPgNWEBDkD2TeAbIHkjESgGYwvgGydJCTxdCQ21F4Q4HVx9fFRCHY1Mje0... | <image>Find the measure of \angle T to the nearest tenth. | A | 6,090 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAF2CAYAAACLT1dcAAB1EklEQVR4nO39V3CU577+fX4759ytnEBZiIzBYJtgG+fstfYKe629/2FC1UzNVM0cvFVz8J69J3M8VXMy7z/svXLYDssBRwwOGExGKGeU1Tmqg7p7Dp6WECBsHABJ/D5VrlrLpqVuoPv56bqe+75VxWKxiBBCCCGEQH2/n4AQQgghxFohg5EQQgghRIkMRkIIIYQQJTIYCSGEEEKUyGAkhBBCCFEig5EQQgghRIkMRkIIIYQQJTIYCSGEEEKU... | <image>Find m \angle 2. | C | 6,091 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb0AAADvCAYAAABmHwoMAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>What is the area of the triangle below? Round your answer to the nearest tenth if necessary. | D | 6,092 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVgAAAFVCAYAAACq8veeAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of a regular pentagon with a perimeter of 40 centimeters. | B | 6,093 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAGMCAYAAAAfnE8vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 1 = 53. Find the measure of \angle 5. | D | 6,094 | 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 P Q. | D | 6,095 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAU4AAAE3CAYAAADFfqhgAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMtgxKCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsjbpNp26UPvUMu/AinePU30mY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>The orthocenter of \triangle A B C is located 6.4 units from point D. Find B C. | C | 6,096 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT0AAADFCAYAAAAmLSVdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the kite. | C | 6,097 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAADfCAYAAADRAef+AAA30ElEQVR4nO2dd0DU9f/HH3iQLJUhCAIKigqIK3GRWe6tiTkqnFmmplnZzsz89k3NMs3Usq/+SspyZrnKQWbhwpEDUFBBpoIMGce8+/1x3gl4B3ccN5D34y/53Oc+977zPs97vV/TorQwRY5AIBDUkAamXoBAIKjbCBERCAR6IUREIBDohRARgUCgF0JEBAKBXggREQgEeiFERCAQ6IUQEYFAoBdCRAQCgV4IEREIBHohREQgEOiFEBGBQKAX... | <image>Use parallelogram A B C D to find m \angle B D C. | D | 6,098 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYwAAADwCAYAAAATrlNEAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the measure of X T. | B | 6,099 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAETCAYAAAA77MMqAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,100 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAakAAAEECAYAAACSrstrAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMOgzGCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsispa5rDt76Y9YZX8W9oqpMpx5TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find x. | D | 6,101 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAFcCAYAAACeMFkWAACO/klEQVR4nOz993tU9/n/+z7X9KKZUZdmRkgChBAChCiSQGDcaxx3xy1OXGPnk7P3/p5znbN/OH/APueXvc/1bZ/YcYl7bCd23HsBG5AEiI5oAtWZUddoel/nh5FxAwwYULsfuXJdTiyNlkYza17rvd73fSuqqqoIIYQQQogZQTPVByCEEEIIIc6ehDchhBBCiBlEwpsQQgghxAwi4U0IIYQQYgaR8CaEEEIIMYNIeBNCCCGEmEEkvAkhhBBC... | <image>Find y. | B | 6,102 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZYAAADcCAYAAABTTIcoAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of \triangle J K M. | A | 6,103 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAECCAYAAAA1o4atAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHwA/E4onJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzJKwP7SmjtmnLtPjr/HhLU5mmOpRAFdKanEykP4DxOnJBUUlDAyMKUC2cnlJAYjdAWSLFAEdBWTPAbHTIewNIHYShH0ErCYkyBnIvgFkCyRnJALNYHwBZOskIYmnI7Gh9oIAr4urj49CsKuRuaGl... | <image>Find the value of the variable x in the figure. | A | 6,104 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAF8CAYAAAAn5sY4AABjlklEQVR4nO3deVhU9f4H8PcwDPuuhCCiIJuKJihqglcylyxz71ZWmr8wb4Wmma2323brdrWy1Oxa3CxbzEpSq+uaqaGlKJjiBoqKICgKCAMDzAzz+2MWZmBmGIZltvfreXqecw5nDl9tHN58z+d8vgKFQqEAEREREZEDc7L0AIiIiIiILI2hmIiIiIgcHkMxERERETk8hmIiIiIicngMxURERETk8BiKiYiIiMjhMRQTERERkcNjKCYiIiIi... | <image>Each pair of polygons is similar. Find y. | A | 6,105 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT8AAADaCAYAAADQWEUuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | C | 6,106 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW8AAADQCAYAAADI1+AAAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | C | 6,107 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVUAAADoCAYAAABfL3cxAAAZc0lEQVR4nO3deVhVdeLH8TciKogllI2GCYpoaskoKbmNmmRhpo45ZmqNjeZCNepMaiMamTrlljYz4ZKVS67NFPpLGYVf4aS5haPZTxNMcCFNFHHJDS7n90dCLlwWOXDvuffzeh6fp+499/i9PvDhe77nc794GIZhICIipqjk6AGIiLgShaqIiIkUqiIiJlKoioiYSKEqImIihaqIiIkUqiIiJlKoioiYSKEqImIihaqIiIkUqiIiJlKoioiY... | <image>In the right triangle, what is A B if B C = 6? | B | 6,108 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAGbCAYAAAAFuq0xAAAq1UlEQVR4nO3dXWjUd9738e/e5CCCXuMIOVCZMZqSA5k81GIFJ2rkAkWlzexZIr0x8aBGe+1lrHSFrOAIIuSW1vHeuxp70ES2mJztZJcqES6M0RRaqY3J4EFoYpwh60HAOM2CORB6HyQT83+Yycx/Hv5P7xcsbMZk+seHfPL7/b7f7+8Pv//+++8CAIAB/8vsBwAA2BchAgAwjBABABhGiAAADCNEAACGESIAAMMIEQCAYYQIAMAwQgQAYBgh... | <image>If C D F G is a kite, find G F. | C | 6,109 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAAHOCAYAAADkNKBFAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>If \triangle J K L \sim \triangle P Q R and the area of \triangle J K L is 30 square inches, find the area of \triangle P Q R. | D | 6,110 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEJCAYAAADPdw+hAAAuM0lEQVR4nO3deUDUdf4/8CcxCIMDCoiIoCCgouEtaIFC5VXfEo+0r6a2FtU3tS23MDfbXGvtZ1pbqeu2Hpn3lnluq3ls6SamgPcoCIig4zEO9zUgg/P7Y5xhPiOnfObk+fjHAYaZD8g853283u+3k1ar1YKIiETziLUvgIjI0TBYiYhExmAlIhIZg5WISGQMViIikTFYiYhExmAlIhIZg5WISGQMViIikTFYiYhExmAlIhIZg5WISGQMViIi... | <image>Find x. | A | 6,111 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfgAAAHuCAYAAABzpx75AACq7ElEQVR4nOz9d5xj15nf+X8uMqqAAlABlWPnHNiR7GamKIoURUoUJVKiSFHSjDxee23NrNe767G9/q29TjP2eGfGGiWKSYEUxZwzm+xuks3OOVQOQCXkjIv7++OiUFXNzl3NQlU973n1i+qeKvTtAnC/OOc55zmKpmkaQgghhJhVDNN9AUIIIYSYehLwQgghxCwkAS+EEELMQhLwQgghxCwkAS+EEELMQhLwQgghxCwkAS+EEELMQhLwQggh... | <image>In \odot P, P S = 4, find the length of \widehat Q R. Round to the nearest hundredth. | D | 6,112 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZQAAADgCAYAAAAkAZDDAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. Round to the nearest tenth. | C | 6,113 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQAAAAESCAYAAAASbAv2AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth. | C | 6,114 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV4AAACSCAYAAAANdqJhAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the triangle. Round to the nearest hundredth. | B | 6,115 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANoAAADACAYAAABiUH0mAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the perimeter or circumference of the figure. Round to the nearest tenth. | C | 6,116 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAD3CAYAAADL2fltAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find y. | B | 6,117 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAENCAYAAADQYKqZAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find x to the nearest tenth. | B | 6,118 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOcAAADjCAYAAAB+ZQM2AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>m \angle 4 = 32. Find the measure of \angle 5. | B | 6,119 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEsCAYAAADQJYSkAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. | B | 6,120 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANoAAADNCAYAAADezm74AAAalklEQVR4nO2df1xT573HP9zGSQAjYDH+AKSAiBarWGPtBYftdP6YE3+87Nbe1upkfW1Vu3k72t7aznZdN1vn7FWu3Z1srOq12xxWbTdXdRu00CpgwRIVEC1oUGkkYAQSamjuH+k5OQmJ5MfJyfnxff91Yk6Sx4TPeZ7n83zO94mw2+12EAQRUv4t3A0gCCVAQiMIASChEYQAkNAIQgBIaAQhACQ0ghAAEhpBCAAJjSAEgIRGEAJAQiMIASCh... | <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | C | 6,121 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAGRCAYAAAAgkRSIAADqAUlEQVR4nOz9Z5Bc553veX5Pem/Lew/vvSVBL4myLXZL6pbaybW59+5s7NzdiHmzGxs7MRsxd2Z2+t6WWuq+7WRaLe9FEiRBeO9dee8rvbdnX5xEASQMAbCAygL+nwgFu8mqrASqKs8/n/P8np+iqqqKEEIIIYQoC7rFfgJCCCGEEOImGc6EEEIIIcqIDGdCCCGEEGVEhjMhhBBCiDIiw5kQQgghRBmR4UwIIYQQoozIcCaEEEIIUUZkOBNC... | <image>Find m \angle 6. | C | 6,122 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVMAAADeCAYAAACAEuPGAAAkKElEQVR4nO3de1yUdb4H8I9OIwMjSNxE8DJplKFWJtmGdNGs1Fw8lu7Jk110d7Vy19yWU3ZO2qZn11Rqy7Nldkor7VUtFEfX0tK0TOkimqcUSVZEZRBkmIBhbo4M549pnpmB4TLwzPM8M/N5/xMqME8w85nf5ft8f30u2qpbQUREvdJX7gsgIgoHDFMiIhEwTImIRMAwJSISAcOUiEgEDFMiIhEwTImIRMAwJSISAcOUiEgEDFMiIhEwTImI... | <image>Find x. Assume that segments that appear to be tangent are tangent. | C | 6,123 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAEGCAYAAADSVNhiAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round side measure to the nearest tenth. | A | 6,124 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAboAAACkCAYAAADhXOvaAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 6,125 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAHGCAYAAAB3gE0oAADcrklEQVR4nOzdd5xcd33v/9eZ3nZnZ2Z7X/XebcmWbVk27sbGuGB6SSA3kAQIl3BTSG5u7r0/bkgjBFIIPRhjjCvu3bJkyeq9a/tsmZ3e2zm/P2Z2tCvJttr2z/PxENIiSzpa7Zx5z3s+3+9X0TRNQwghhBBCiBlON9EXIIQQQgghxGQgwVgIIYQQQggkGAshhBBCCAFIMBZCCCGEEAKQYCyEEEIIIQQgwVgIIYQQQghAgrEQQgghhBCABGMh... | <image>Circle J has a radius of 10 units, \odot K has a radius of 8 units, and B C = 5.4 units. Find A B. | B | 6,126 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkMAAAJqCAYAAAAomkRlAAD6l0lEQVR4nOz9dXicabbfe3+fYlKJSgy2LEsyM3a7mZkZpruHZ/YkJzlJzknOyRs+yXkDb3b2zN6DzTTNzOw2MwstW8xSMT/P+0dJpZIsu20Lba3Pdc3VtkaWZVuq+tW6172WommahhBCCCHELKWb7k9ACCGEEGI6SRgSQgghxKwmYUgIIYQQs5qEISGEEELMahKGhBBCCDGrSRgSQgghxKwmYUgIIYQQs5qEISGEEELMahKGhBBCCDGrSRgS... | <image>J is the incenter of \angle A B C. Find J F. | A | 6,127 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWsAAADjCAYAAABD0jV5AABSs0lEQVR4nO19eXxU1fn+M0wSyMaSDUJWSMISQLYAEjYVaF2xCLi0YpXWflH7Fb+KS2u1rdRWRP2JbS1qC67FAkpBFhVRQQiyR5YkkIUtYQ1JyMJkm9zfH5OZOffOOfeeO3dmMjM5z+ejZGbOdrfnvuc9z/sekyRJEgQEBAQE/BohHT0AAd+jtamqo4dgCCFdYzp6CAICPodJWNbBiUAnZE9CkLtAMECQdZBAkLNvIV4AAr6GIOsAhiBo/4cg... | <image>Find the perimeter of \triangle D E F if \triangle D E F \sim \triangle G F H. | D | 6,128 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVgAAAEQCAYAAAD1Z2xBAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Assume the inscribed polygon is regular. | C | 6,129 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgYAAAHJCAYAAAD+afFcAADHz0lEQVR4nOzddZhc5fn/8fcZ1511zWrc3UkIMUhwd7eipUKpfSu/KnUo0hZIkOJeCCSEOCFO3G3dZdzPOb8/Zneym4ToJit5XtfFBQnJZjI7M+dznue+70dSVVVFEARBEAQB0HT0AxAEQRAEofMQwUAQBEEQhDgRDARBEARBiBPBQBAEQRCEOBEMBEEQBEGIE8FAEARBEIQ4EQwEQRAEQYgTwUAQBEEQhDgRDARBEARBiBPBQBAEQRCEOBEM... | <image>Find x. | B | 6,130 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAD6CAYAAAAIoIWzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the triangle. | A | 6,131 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAD4CAYAAADy1dyfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of \parallelogram E F G H. | B | 6,132 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkMAAAJqCAYAAAAomkRlAAD6l0lEQVR4nOz9dXicabbfe3+fYlKJSgy2LEsyM3a7mZkZpruHZ/YkJzlJzknOyRs+yXkDb3b2zN6DzTTNzOw2MwstW8xSMT/P+0dJpZIsu20Lba3Pdc3VtkaWZVuq+tW6172WommahhBCCCHELKWb7k9ACCGEEGI6SRgSQgghxKwmYUgIIYQQs5qEISGEEELMahKGhBBCCDGrSRgSQgghxKwmYUgIIYQQs5qEISGEEELMahKGhBBCCDGrSRgS... | <image>J is the incenter of \angle A B C. Find m \angle J A C. | B | 6,133 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASkAAAEdCAYAAABQcpE5AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find x. | B | 6,134 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf8AAAEWCAYAAABoup70AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. | A | 6,135 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAEECAYAAADQ28UNAABNeElEQVR4nO3deViU1fvH8feEqCBCoIgIAsrikiuKG5qUqLnkWmpmLqWVW5qm9VPL9q9pmWWppaaZuebW4m6hghuJG26AigoiIqBIgA7j8/sDB9lBmY3hfl2X14XMMzMHmHnmfs45n3NUiqIoCCGEEEKUcU8YuwFCCCGEELogRY0QQgghzIIUNUIIIYQwC1LUCCGEEMIsSFEjhBBCCLMgRY0QQgghzIIUNUIIIYQwC1LUCCGEEMIsSFEjhBBC... | <image>Quadrilateral A B C D is a rectangle. Find x. | A | 6,136 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAESCAYAAACy36FdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEIMogwGCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs57UXFY2uHP7VlV2fX61hdB9TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>What is the perimeter of the figure? | A | 6,137 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAFeCAYAAADqqTS3AAAsjElEQVR4nO3dXWwb573n8X/OyUUCtJmkRS7cLudIqZELg6y9CbwFQtUvxaI5omBHe0cKMuSeC4uK6212C5VYVkBdwBWgGt2mSWVRuYmFaEXeHdWGKLQXJy9H9EE3SNYpCV8UTZMOkeQiaJ1xAsQ4a6z2QpnRzPBl+DLDITnfDxDA4stwQon8zfM8/+d57tvd3d0VAADQ0N8FfQIAAPQ7whIAABeEJQAALghLAABcEJYAALggLAEAcEFYAgDg... | <image>Find m \angle E. | D | 6,138 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 14, b = 48, and c = 50, find \tan B. | A | 6,139 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUMAAAD3CAYAAACHHzbQAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,140 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAEBCAYAAAAuOv2LAAAehElEQVR4nO3de1hUBeLG8e8IiCBeQJEMUlS8lJfM0nLTsrI1Le9lpbVrt93csnRdy9/aptW2XazdVrfrapZbtmniaq1mWmFplqaZWRZComIsogiIXASc3x8KjchtZs7MOTPn/TzPPg8KDGc1vp6ZOe/gcDqdTkRExG2NzD4AEZFApYCKiHhIARUR8ZACKiLiIQVUAtY/Vn5PZs4xsw9DbEwBlYC0cWc2k9cfYMw/vlRExTQKqASc4tJypi79... | <image>Find z. | A | 6,141 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOAAAADrCAYAAABw6poiAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the circle. Round to the nearest tenth. | C | 6,142 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANMAAADGCAYAAABIHLXxAAAmLUlEQVR4nO2dfVxUZd7/P+QgjIyjYjQqEAgIqKNCglpouPncbqKYlf4SI7HNRL3Z0vW2WvO3a7fJGqW0bYaZWHqXKz7U+litFhgJCuaECGgYozlNoIyMw+jo3H9M58wZmIF5OOfMOcP1fr16vQaah4vxfM51fb/X93N9/cxmsxkEAsFj7vH2AAgEX4GIiUBgCSImAoEliJgIBJYgYiIQWIKIiUBgCSImAoEliJgIBJYgYiIQWIKIiUBgCSIm... | <image>Find the exact circumference of the circle. | C | 6,143 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAc8AAAHLCAYAAACu6RM9AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwM8gx8CcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisnElPEx+k3TodyR1+RnCOTjimehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find the diameter of circle M. | C | 6,144 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAX4AAADlCAYAAABUDJzIAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMjAxsCTmFxc4BgQ4ANUwgCjUcG3a0CVQHBZF2TWRJmS68tu+iVtvr82o0rqYCSmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find the measure of \angle 1. | D | 6,145 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASgAAADyCAYAAAD+1VjkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the shaded sector. Round to the nearest tenth. | D | 6,146 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAqwAAAEDCAYAAADwYFaWAABMLUlEQVR4nO3deUCU5drH8S8BJYooKIqCiAq4b+RySkvyuLdo+mplm5Wd0tOipWZmZYsds0zTNjt2ss0Wc80yl9xXUNxQFHFDzAUFRGQRcN4/AAWBYWYYmGH4ff5imGeGW8Vnfs/9XPd1OxkMBgMiIiIiInbqJlsPQERERETEGAVWEREREbFrCqwiIiIiYtcUWEVERETErimwioiIiIhdU2AVEREREbumwCoiIiIidk2BVURERETsmgKriIiI... | <image>Each pair of polygons is similar. Find E G. | C | 6,147 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvkAAAGTCAYAAACyOw3ZAACCy0lEQVR4nOz953tc53nvb3+m995QBiAKwV4kSqRIkZIsyZZlJ+6x4ziOEydOHJeU/eL5O347cdtxnLgkcYnjHndblU2kRIliBQGQAGZQpvde1vNiDQBSYhdJkMB1HodSAHCw0Ga+c89VNIqiKAghhBBCCCFWDO1yX4AQQgghhBDi1pKQL4QQQgghxAojIV8IIYQQQogVRkK+EEIIIYQQK4yEfCGEEEIIIVYYCflCCCGEEEKsMBLyhRBCCCGE... | <image>Find m \angle M. | B | 6,148 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcYAAAEGCAYAAAD/ijWdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEIMzAxSCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsA9uA8yrzVXYoh2xTW3I1wAZTPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>In the figure at the right, what is the value of p in terms of m and n? | C | 6,149 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAAD6CAYAAACmqXuvAABJV0lEQVR4nO1dd5wV1fX/zntbWZa61F1YpIMgLCIIKlJjpCmKXVQsUTE/bNiDxkIsERNJYjQmoKJiQTGikIRiRw09VGkuSBFYYGHZxvJ2fn+8dmfmnjv3vpn39u0y389n4O17t5xz6/ece2ZGq6o4pMNDwqBpgBbnOqq9Hk0K+OLY0b74Fe3Bg4d4wZu4HjzUQngT14OHWghv4nrwUAvhTVwPHmohvInrwUMtRIqmyZ0d6NXRzxox3XUdAKc4... | <image>Find x. | C | 6,150 | 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 A G. | B | 6,151 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV... | <image>Use parallelogram M N P R to find m \angle M Q R. | A | 6,152 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT4AAADrCAYAAADwvPoYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the triangle. | D | 6,153 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkkAAAEpCAYAAACHnLbzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 12 = 64. Find the measure of \angle 3. | D | 6,154 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAD5CAYAAAB2zrNeAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Solve for x in the figure. | A | 6,155 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUsAAAEbCAYAAABTOaZpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find z in the figure. | B | 6,156 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAAEnCAYAAADisSU7AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. | C | 6,157 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb8AAAD7CAYAAAD6rZq8AAAvKUlEQVR4nO3de1yUZd4/8I8LrI6OICCOCioCIuJoHgBJKNwezawnMct8ctP0F7pPm+7mtphZrbm7+njY1i2ttrLMajVzPdbzlOWWFJoKgYdROSkog4gjgwyHgWXG+f0xMM7AMMzAHO7h/rxfL18vwBvmFmfmc1/f+7q+Vw+DwWAAERGRiPzM0ydARETkbgw/IiISHYYfERGJDsOPiIhEh+FHRESiw/AjIiLRYfgREZHoMPyIiEh0GH5ERCQ6... | <image>If m \widehat F E = 118, m \widehat A B = 108, m \angle E G B = 52, and m \angle E F B = 30. Find m \widehat A C. | A | 6,158 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPIAAAEUCAYAAAARAmuPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find x. | C | 6,159 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATYAAAERCAYAAADxFYsnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>What is E D? | D | 6,160 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAo4AAAICCAYAAABBfExDAACTfElEQVR4nOz9Z2xcd7rve37XqhxYxZwpUolikKhoywpWTs7Z7rTj2ffgADO4FxcYYGZwMRhggHk3mBnMi8HBmXv2ufv07m7HdtvdbSsny7Zsy8qUSDGIuZgrsOKqWmvNi1Kw2wqULKkYns8bgxRJ/SmaVb96/v/n/yimaZoIIYQQQghxH2quFyCEEEIIIWYHCY5CCCGEEGJaJDgKIYQQQohpkeAohBBCCCGmRYKjEEIIIYSYFgmOQgghhBBi... | <image>Find x. | A | 6,161 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV0AAAEJCAYAAAA3l/RWAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | C | 6,162 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVcAAAC2CAYAAABtXs6LAAAxJklEQVR4nO3deVyU5fr48c/IPiAKioigooCi4oKKS2iioaiZuKSVX8Xdcks9pqejlcf6aZlpllslHsoNl1wwc7cgxQVUXFBUUEEhJJRNZIf5/YGM7OsMs3C/X6/+wHlmuCfuueZ67ue+rkcik8lkCIIgCApVT9UDEARB0EYiuAqCICiBCK6CIAhKIIKrIAiCEojgKgiCoAQiuAqCICiBCK6CIAhKIIKrIAiCEojgKgiCoAQiuAqCICiBCK6C... | <image>Find y so that the quadrilateral is a parallelogram. | B | 6,163 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAawAAACYCAYAAAC4VN2jAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMegz6CUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisdruni1tlZa5emMsxZZ/PwTpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y in the figure. | C | 6,164 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATYAAAEKCAYAAACYBHl/AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth. | B | 6,165 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASEAAACbCAYAAAAtOy28AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMugxmCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisG+wT2z+eyTibkxpw6VnUyzZM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the side measure to the nearest tenth. | B | 6,166 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 14, b = 48, and c = 50, find \sin B. | D | 6,167 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAE5CAYAAACtTUvvAAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find y. | A | 6,168 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAADUCAYAAABplh1lAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,169 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAFaCAYAAADowK8UAAA3eElEQVR4nO3df1gUV5ov8NdxyIxxxd4A0UAgjA6NCtEM2ASQOBsNRL3JqOvIkBjxB5rrZgfjKrozPnLzuBgzk6iPkUnGjeIPErMGx2ucyUYlUe8YAoSWjBIQgTWLtBCJkDQw6sZel/sHdMOpqqZ/VXdVnfp+/koVdHGeJPCeOue87zust7e3lwAAAEDTvqf0AAAAAMB3COgAAAAcQEAHAADgAAI6AAAABxDQAQAAOICADgAAwAEEdAAAAA4g... | <image>A B C D is a rhombus. If E B = 9, A B = 12 and m \angle A B D = 55. Find m \angle A C B. | D | 6,170 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAERCAYAAACjE+FFAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find z in the figure. | C | 6,171 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAGJCAYAAADi7y6oAACkM0lEQVR4nOzdZWCc55X3/+8wimk0si2jwMwQapjTMDsMxbQL7bb7dP+7+2z32W237e62XWjD6DAz2HESJ2aZbaEt1oxYw3z/X8xoJAcdRTAanc+7qvFE8czc932u6/qdo1IURUEIIYQQQgghRpl6on8BIYQQQgghRHqSYkMIIYQQQggxJqTYEEIIIYQQQowJKTaEEEIIIYQQY0KKDSGEEEIIIcSYkGJDCCGEEEIIMSak2BBCCCGEEEKMCSk2... | <image>If L K = 4, M P = 3, P Q = 6, K J = 2, R S = 6, and L P = 2, find Q K. | D | 6,172 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUMAAADICAYAAAByM4OoAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | B | 6,173 | null | B |
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