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": "iVBORw0KGgoAAAANSUhEUgAAASgAAAD5CAYAAACUEqgnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the value of h. | B | 6,274 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXAAAADyCAYAAABUFp5YAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 6,275 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfgAAAHuCAYAAABzpx75AACq7ElEQVR4nOz9d5xj15nf+X8uMqqAAlABlWPnHNiR7GamKIoURUoUJVKiSFHSjDxee23NrNe767G9/q29TjP2eGfGGiWKSYEUxZwzm+xuks3OOVQOQCXkjIv7++OiUFXNzl3NQlU973n1i+qeKvTtAnC/OOc55zmKpmkaQgghhJhVDNN9AUIIIYSYehLwQgghxCwkAS+EEELMQhLwQgghxCwkAS+EEELMQhLwQgghxCwkAS+EEELMQhLwQggh... | <image>In \odot P, R T = 11, find m \widehat Q R S. Round to the nearest hundredth. | B | 6,276 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjMAAAEmCAYAAACXoRF3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle 4 if m \angle D G F = 53 and m \angle A G C = 40. | B | 6,277 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP0AAAEJCAYAAABfQSFHAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the variable of x to the nearest tenth. | C | 6,278 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAncAAAGmCAYAAAAeQKJ1AABv3ElEQVR4nO3dZXhc16H18f8wiJnMKDNJthPHDnPDzNymlLS39LYXetveMkMKaYMNNMzkoCkxM7MtZprR4Dnn/SCwHHAdx7ak0fp96PM0jzQajUfnrNl7r71tlmVZiIiIiEhCsPf2ExARERGRo0fhTkRERCSBKNyJiIiIJBCFOxEREZEEonAnIiIikkAU7kREREQSiMKdiIiISAJRuBMRERFJIAp3IiIiIglE4U5EREQkgSjciYiIiCQQhTsR... | <image>Find V S. | D | 6,279 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAigAAAHJCAYAAACv/cI/AACZFUlEQVR4nOzdZXycZdbH8d89bnH3pG6pUafUW6C4Lu4OC7vsYissLA+7LLuLOwvF3Z16CxXaUneLu8v4zD3Pi0wmSSnVtLHz/XyeFw/Q7CRN5v7nnHOdSwkEAgGEEEIIIToRTUe/ACGEEEKIfUlAEUIIIUSnIwFFCCGEEJ2OBBQhhBBCdDoSUIQQQgjR6UhAEUIIIUSnIwFFCCGEEJ2OBBQhhBBCdDoSUIQQQgjR6UhAEUIIIUSnIwFFCCGE... | <image>If \triangle S R Y \sim \triangle W X Q, R T is an altitude of \triangle S R Y, X V is an altitude of \triangle W X Q, R T = 5, R Q = 4, Q Y = 6, and Y X = 2, find X V. | B | 6,280 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf8AAAGDCAYAAAAlERkEAAB+uElEQVR4nOz9d3icZ5rf+X7fyhEVUMiZJAgQzEmiJEqiKCrnlno6TE9Pj3uSx9uzs14fr2ev9Yaz59prj73rMx6vx5M8oXP3KGcqUKREMecEgACJHKtQOaf3/FEgCJIgCZAASAL35z91FwpFoPDe9T7P77lvRVVVFSGEEEIsGpo7/QKEEEIIMb+k+AshhBCLjBR/IYQQYpGR4i+EEEIsMlL8hRBCiEVGir8QQgixyEjxF0IIIRYZKf5CCCHE... | <image>Find x. | C | 6,281 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATgAAAEgCAYAAAAg+m+cAABDhklEQVR4nO29e1xTd57//3KMC9EIAmJUEJCboNGKEmoFi9Op150pinW6OlNbfkM7vdB23A7W0c5Yd6tfq9vpVJl2ttK16lZ706rreO26UKFVQaAlKveCBhWRIBEIjKH8/ojn5OQCBMhJzjl5Px8PH4/E5OR8yMl5fd6f9+d9GdLd3d0NgiAICfITdw+AIAiCL0jgCIKQLCRwBEFIFhI4giAkCwkcQRCShQSOIAjJQgJHEIRkIYEjCEKykMAR... | <image>Circles G, J, and K all intersect at L. If G H = 10, find J K. | A | 6,282 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASAAAADrCAYAAADJ20tDAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the measure of \angle 7. | B | 6,283 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASEAAADtCAYAAADwQMNgAAAl7klEQVR4nO3dfVyT570/8A81KEGMAtJARWFIETVarYBOsHg6rdpasVjbo1udvko9rWKdx2n96Ta1m86HdbZKuwfxWG21L8uk2roq4jpsYSqgoEZFBEQNrWnkKYJJSjC/P9LcJCGBAEnup+/7r4BRLuHmc18P3/u6fEwmkwmEEMKSR9huACFE3CiECCGsohAihLCKQogQwioKIUIIqyiECCGsohAihLCKQogQwioKIUIIqyiECCGsohAihLCK... | <image>Find x. Assume that segments that appear to be tangent are tangent. | A | 6,284 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD5CAYAAAAzzx7cAAArp0lEQVR4nO3deVxVdf7H8ZcBKYYoKKKCghui4i7ihCU5LpkmLlmjU5OVOf1Mm3o0OpZZWjljYmW5NJVlWT8bNRdaLMtfaa65gApubKJeF7wCgsCF4eL9/XHlsl3gst1z7rmf5z8d4gBf4d73+Z7v5/v9nkYmk8mEEEIIzbhD6QYIIYSoXxLsQgihMRLsQgihMRLsQgihMRLsQgihMRLsQgihMRLsQgihMRLsQgihMRLsQgihMRLsQgihMRLs... | <image>Find x. Assume that segments that appear to be tangent are tangent. | B | 6,285 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUkAAAFHCAYAAAAsgL7YAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find z. | D | 6,286 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjsAAAC6CAYAAABIpYwPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure. | B | 6,287 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANsAAADYCAYAAABiF5buAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region. Round to the nearest tenth. | C | 6,288 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAC6CAYAAAD/AsucAAAhHklEQVR4nO3deUBU5d4H8C8JwsiAMEiojEJsLoEruCSkJWqaCerNyiXrjazUupahlpVtdl1afFPJUnPXTCXwVqbRffEGoiyKMoCyCMqgIjDDMjAgA+f9Y5xhBtmZmTOH8/v8NQMzw8MyX57l9zzHgmEYBoQQwjEPsd0AQgjpDAovQggnUXgRQjiJwosQwkkUXoQQTqLwIoRwEoUXIYSTKLwIIZxE4UUI4SQKL0IIJ1F4EUI4icKLEMJJFF6E... | <image>Find x. Assume that any segment that appears to be tangent is tangent. | A | 6,289 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjYAAAHsCAYAAADB++fhAACjn0lEQVR4nOzdZ3gU5dfH8e/M9t30DoRQQu9FULABoiDYC1gfe68oRaWpYEFs2Lv+7YINRRABFRtFBUKTktBLet1s35nnxYYFlJJAIO18ros3moQhye6cue/ffY6i67qOEEIIIUQ9oNb0BQghhBBCVBcpbIQQQghRb0hhI4QQQoh6QwobIYQQQtQbUtgIIYQQot6Qwqaek0NvQgghGhJjTV+AqF7/LmQURamhKxFCCCGOPyls6rADFTFSyAgh... | <image>Find S T. | A | 6,290 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAG/CAYAAAB7bYyZAABKoUlEQVR4nO3deVzUdeLH8TcN5IUoGKFBeKFiYiuK6CZFW14dm6ldVmruYv0qj1wzXastt3RNM/OotrLMbGOzpOzYvDosLEUKU1RUvCFDEpVQRKD5/QGDA8wgxwzzneH1fDx6POb7nYPPuoJvPt/P5/31MpvNZgEAABjYRa4eAAAAwIUQWAAAgOERWAAAgOERWAAAgOERWAAAgOERWAAAgOERWAAAgOERWAAAgOERWAAAgOERWAAAgOERWAAA... | <image>Find \sin x. | D | 6,291 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfgAAACxCAYAAAAoCK9vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMugxmCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisG+wT2z+eyTibkxpw6VnUyzZM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the side measure to the nearest tenth. | B | 6,292 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbQAAAGBCAYAAAAOg0RYAAA/bUlEQVR4nO3db0xU974/+nd/h3ODudolnusDNTOC+jO5ZqZSG3aTPRTx3EQj3lb2M/DSgPdBRd3+yt6Nl4SSlCaUhGNs6e5BYD84QsplJvk9ONAGiCa/I1qmiSV1Y2dCfvEUpTNRHpgLrOoNJIff9T6YrsVaM2v+rJk1s/7M+5U0gWFYrIrOZz7f7+f7+bz26tWrVyAiIrK5/2T2DRARERmBAY2IiByBAY2IiByBAY2IiByBAY2IiByBAY2I... | <image>Find the value of x in the diagram. | B | 6,293 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkQAAAD1CAYAAACx6eqjAAAxHklEQVR4nO3deUCU5drH8e8IKBAuoIgICSqIe264F1SYaSapmUcrs7JO+3JKs9SyY3ZMKyvN6s2y0jQzNc00l1LLJZfcEWVRVAwRAUFkEYZ5/0DNUTZlYAbm9/mLZp4Zb214nt/c9/Xcl8FkMpkQERERsWPVrD0AEREREWtTIBIRERG7p0AkIiIidk+BSEREROyeApGIiIjYPQUiERERsXsKRCIiImL3FIhERETE7ikQiYiIiN1TIBIRERG7... | <image>Find y. | B | 6,294 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAHvCAYAAAAfEAZWAACZi0lEQVR4nOzdd3hcZ5n38e+Z3qVR7y4q7nbc0otjJyEEQiAkIQm9w8JSFnbZwi7wAru0pSwdFlggkEJIAoFASJzidLe4F8m2em+j6TNn5pz3jzMaSe6WJavdn+viiuVgZRLNnPM7z3M/963ouq4jhBBCCDGJTFP9AoQQQggx+0ngEEIIIcSkk8AhhBBCiEkngUMIIYQQk04ChxBCCCEmnQQOIYQQQkw6CRxCCCGEmHQSOIQQQggx6SRwCCGE... | <image>Find m \angle D A B. | C | 6,295 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAEdCAYAAAAxRnE+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the triangle. Round to the nearest tenth if necessary. | A | 6,296 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARgAAADXCAYAAADBR05ZAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>m \angle 19 = 100 + 20 x, m \angle 20 = 20 x. Find the measure of \angle 20. | B | 6,297 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkUAAAD7CAYAAABkIeDtAAAeqklEQVR4nO3deXRV9b2w8ScmYQhhSJglQpgnJ0Cwl0FRERQnHGpbtBWr1rZq1fZFeVtbsdQrBa1V6zzh2CoVxXqhKlVQ0AqCyiASAkQIZQgmkEQSTE7O/QPMhUACgeSMz2ct1zp6NocfnnDyZO/93TshGAwGkSRJinNHhXsBkiRJkcAokiRJwiiSJEkCjCJJkiTAKJIkSQKMIkmSJMAokiRJAowiSZIkwCiSJEkCjCJJkiTAKJIkSQKMIkmS... | <image>Given figure A B C D, with A B \parallel D C, m \angle B = 60, m \angle D = 45, B C = 8 and A B = 24, find the perimeter. | D | 6,298 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAq8AAAGxCAYAAABMVV/rAACHHUlEQVR4nOz9d3Bk97nmeX7T+0wgDbxHeaC8YRXJoveeEiVKlCjpur63+27MTE9sz0xsTMRObMzObMTO7EZ3zE6bK+leUSIpGlH03ogs7x1QhTIo+ASQPpEW6c7+kZkwZciqYhmY9xPBoAQkTibAqpMPfuc570+lKIqCEEIIIYQQ84D6Vr8AIYQQQgghrpSEVyGEEEIIMW9IeBVCCCGEEPOGhFchhBBCCDFvSHgVQgghhBDzhoRXIYQQQggx... | <image>Find m \angle 1. | C | 6,299 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbAAAADBCAYAAACuR+X6AAAjTUlEQVR4nO3deUBU5f4G8IfFBUIUDCcEARVRlDQ01NKUulquoSi/0jLXbmUuqWHeVupm18QsM7XFQs2rV3HX3L25YLmUK6UglCKKSICgMiDL/P7QmXtYZoZlZs55zzyfvxSIDgjzvOc93+/3ddDpdDoQEREJxlHuCyAiIqoNBhgREQmJAUZEREJigBERkZAYYEREJCQGGBERCYkBRkREQmKAERGRkBhgREQkJAYYEREJiQFGRERCYoAREZGQ... | <image>Find x and so that the quadrilateral is a parallelogram. | C | 6,300 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASsAAAEWCAYAAAA+QLHHAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the regular polygon. Round to the nearest tenth. | C | 6,301 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWEAAADUCAYAAABNj5KlAAAgA0lEQVR4nO3deXRU9f3/8edkMkkmhMSEHcIOAUJAtoACCqWyaYVKalXailZcasXWWqhH+qu2Fb+UtHq+xW42tmIrapFgahURyxeVoBIICAGSEFZDQggEEkImyWQyvz8GhgBZyUzuTOb1OIdzJpO7fIB5v3Jz7/t+rsnpdDoRERFDBBk9ABGRQKYQFhExkEJYRMRACmEREQMphEVEDKQQFhExkEJYRMRACmEREQMphEVEDKQQFhExkEJYRMRA... | <image>parallelogram M N P Q with m \angle M = 10 x and m \angle N = 20 x, find \angle Q. | D | 6,302 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATQAAADiCAYAAADAkTsZAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAGhAoM/InJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzDpaLcSpIPTNo7lLKGue5Yz9mOpRAFdKanEykP4DxOnJBUUlDAyMKUC2cnlJAYjdAWSLFAEdBWTPAbHTIewNIHYShH0ErCYkyBnIvgFkCyRnJALNYHwBZOskIYmnI7Gh9oIAr4urj49CsKuRuaGl... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,303 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoIAAAIVCAYAAABFk57uAAC6fUlEQVR4nOzddZjc53nv//d3mGeWGcWMFpMtyxwzpeGkadK0obY5aU/b0/akv1NK2mADDbMtU2zHMYrBYmZpGWdhZnYYv78/ZrQkyaJdLd2v6/Kl9dJ8pZ2d+czzPPd9K6qqqgghhBBCiAlHM9IXIIQQQgghRoYEQSGEEEKICUqCoBBCCCHEBCVBUAghhBBigpIgKIQQQggxQUkQFEIIIYSYoCQICiGEEEJMUBIEhRBCCCEmKAmCQgghhBAT... | <image>Find m \angle 2. | A | 6,304 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS4AAADUCAYAAAAiPs6IAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | A | 6,305 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASkAAAEdCAYAAABQcpE5AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | B | 6,306 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAL8AAAFFCAYAAAC9lDzNAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. Round to the nearest tenth. | D | 6,307 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAE5CAYAAACtTUvvAAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find x. | B | 6,308 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb8AAAD7CAYAAAD6rZq8AAAvKUlEQVR4nO3de1yUZd4/8I8LrI6OICCOCioCIuJoHgBJKNwezawnMct8ctP0F7pPm+7mtphZrbm7+njY1i2ttrLMajVzPdbzlOWWFJoKgYdROSkog4gjgwyHgWXG+f0xMM7AMMzAHO7h/rxfL18vwBvmFmfmc1/f+7q+Vw+DwWAAERGRiPzM0ydARETkbgw/IiISHYYfERGJDsOPiIhEh+FHRESiw/AjIiLRYfgREZHoMPyIiEh0GH5ERCQ6... | <image>Find m \widehat E D B if m \widehat F E = 118, m \widehat A B = 108, m \angle E G B = 52, and m \angle E F B = 30. | A | 6,309 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEWCAYAAACDoeeyAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in the figure. | C | 6,310 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAIQCAYAAADpbnO+AADOfUlEQVR4nOzdZXxUZ97G8d9MMpOJZ+Ke4NpCW6hAaaGUursLrm1Xa+tS22d3W4pL3dutU8XbQg0rrnF3mYzPPC+CDaW7QAmx6/tuPwuckxIm5zr3ff1vg9/v9yMiIiIiInKcGVv7BkREREREpGNS2BARERERkRahsCEiIiIiIi1CYUNERERERFqEwoaIiIiIiLQIhQ0REREREWkRChsiIiIiItIiFDZERERERKRFKGyIiIiIiEiLUNgQERER... | <image>Find x. | B | 6,311 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkUAAAGXCAYAAAC9YCR4AACiN0lEQVR4nOzddXic55X38e8wSyNmyZJlmUEyO8aAw0nTMHPTFNIUtlvYUtput+1uabt9mzRMDjPZDjh2yMwkMMhilobxef+Y0UiyZccgWxrpfK4rVxzHkkfSzPP85r7PuY9KURQFIYQQQogRTj3YD0AIIYQQYiiQUCSEEEIIgYQiIYQQQghAQpEQQgghBCChSAghhBACkFAkhBBCCAFIKBJCCCGEACQUCSGEEEIAEoqEEEIIIQAJRUIIIYQQ... | <image>The segment is tangent to the circle. Find x to the nearest hundredth. | D | 6,312 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAAEYCAYAAACa1YA+AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find the measure of \angle A. Round to the nearest degree. | C | 6,313 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAAC4CAYAAADaOeivAAAVBklEQVR4nO3dfVyV9f3H8RceUFCUEAkdqCiEcWPeYk40bbNMZ9mN1XK/ym72q9nNVg5XulXutumaazrbY7+W1VptmZlmt9ZK5y14mwKK3KghRggqomBwuH5/tMMUzkFQzrmu65z38/Hwj+yAX865rte5znWu8yHIMAwDEREf62D2AkQkMCk+ImIKxUdETKH4iIgpFB8RMYXiIyKmUHxExBSKj4iYQvEREVMoPiJiCsVHREyh+IiIKRQfETGF... | <image>Q R S T is a rectangle. If Q P = 3 x + 11 and P S = 4 x + 8, find Q S. | D | 6,314 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAD6CAYAAAABSyXJAABvgklEQVR4nO3dZ3yUZ5rn+1/lXCpllTJCIDICITIY2zinds6xu2d2Ys/uzOzZs+Hs2d3P5+zMzmz3TM/sxO42znY75wg2mCyByBllVUklqaTKuZ7zosoCB2yCUOL6vjOWUKEKz/Xc1339b5WiKApCCCGEEGNEPd4PQAghhBBXFik+hBBCCDGmpPgQQgghxJiS4kMIIYQQY0qKDyGEEEKMKSk+hBBCCDGmpPgQQgghxJiS4kMIIYQQY0qKDyGE... | <image>Find m \angle 2. | A | 6,315 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAG9CAYAAABjxM7MAACi70lEQVR4nOz9Z3Sc55nnf34r54ycCZAEicCcs0RKooKV5dC27A7udvfY7u6Z/86c2be7e86c3bM7Pd3tzg7d7WzZVs6iKDFnMSCRYEBOVQAq56pnX1QRBCmCYibC9XlnGSgWgKp6rue+f9d1qxRFURBCCCHEnKJ+0E9ACCGEEPefFABCCCHEHCQFgBBCCDEHSQEghBBCzEFSAAghhBBzkBQAQgghxBwkBYAQQggxB0kBIIQQQsxBUgAIIYQQ... | <image>Find x. | B | 6,316 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPcAAAEFCAYAAAA/oXH1AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the kite. | B | 6,317 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcAAAAEpCAYAAAAEbvI5AAAifElEQVR4nO3de3RU5aH38V9IYhIMiQlCuISLEELUwOEWUC4GraBQCxVre8BK5TRqS8HW9sDLq/Z2Wj1WqlZFbF+oKOe8qL0gWOoNa8mRixIICBG5hBAgAUIgCCQMMQlz/hgyGcIkM0kms2/fz1pdayfZMc8qyfxm7/17nifC7Xa7BQCAw3QwegAAABiBAAQAOBIBCABwJAIQAOBIBCAAwJEIQACAIxGAAABHIgABAI5EAAIAHIkABAA4EgEI... | <image>If J L = 27, B L = 9, and J K = 18, find J A. | B | 6,318 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUsAAADRCAYAAABFPZAPAAAb90lEQVR4nO3dXWhb6Z0G8GeWXDgwkzcJzMXOoFNnY3ql06SEdiEy+ejCLraxx5e28dTtzdjGk9IPPALVsC1kDFqz7baOazk3iztG0qUnwTJbaDNOdXLRJa29R+xFmWxnjpjsRWGc1xMYwwayF9I5+jqyjqQj6ZX9/CCMsb6OdMaP/u//fc85r7x8+fIliIjoSH/T6Q0gIuoGDEsiIg8YlkREHjAsiYg8YFgSEXnAsCQi8oBhSUTkAcOSiMgD... | <image>Find y so that the quadrilateral is a parallelogram. | D | 6,319 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAHYCAYAAADH6HvvAACf/UlEQVR4nOz9d3hc15nn+3535QhUFXImmMFMMQflZEXnLMm2HNrutrvndE/3zDn3PHPuOXNnuudMT0fbcpZt2ZZsWZatnCVSzDmTIImcUYXKOex9/ygAJCWQBECQSO/neWQJMFFYIKp2/fZa73qXommahhBCCCHEB+gmewBCCCGEmJokJAghhBBiRBIShBBCCDEiCQlCCCGEGJGEBCGEEEKMSEKCEEIIIUYkIUEIIYQQI5KQIIQQQogRSUgQ... | <image>Q S is a diameter of \odot V. Find m \widehat P Q R. | A | 6,320 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAIRCAYAAACbA3F6AAD5fElEQVR4nOz9d3Dc533+/b63916ARWVvYBO7KLFKsnq3bLnGLYmdxI6785tz5syZZ+Y8T+JYbilO3GM7kmXL6r2xiBRFUuwEe0Mvu4vtvXzPHwuCDZRIkCBRPq8ZjUQIXCx2F4tr7/3c161SFEVBCCGEEEIIcdWpr/cVEEIIIYQQYqySsC2EEEIIIcQwkbAthBBCCCHEMJGwLYQQQgghxDCRsC2EEEIIIcQwkbAthBBCCCHEMJGwLYQQQggh... | <image>If J, P, and L are the midpoints of K H, H M and M K, respectively. Find z. | A | 6,321 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUAAAADjCAYAAAD0b81eAAAnV0lEQVR4nO3de0CT9f4H8DcBwnBMQXEqVxEQDcUb6glMKu8/j3ivTC0T65yyi+ekmXaOlnkyreNJTc0sL5WWqEl19Hg5RyzxBt5RcSAiDASRAeOyIcP9/hh7GGMbg12eZ3s+r3/ccMAX2N773j7fx0WtVqtBCCE89BjbDSCEELZQABJCeIsCkBDCWxSAhBDeogAkhPAWBSAhhLcoAAkhvEUBSAjhLQpAQghvUQASQniLApAQwlsUgIQQ3qIA... | <image>Find x. | A | 6,322 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAADwCAYAAAAenOFGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x. Assume that segments that appear to be tangent are tangent. | B | 6,323 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjsAAAC6CAYAAABIpYwPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find x. | B | 6,324 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAADVCAYAAADuIMM4AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find x. A = 92 in^2. | C | 6,325 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAADYCAYAAACXzEp3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | A | 6,326 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARkAAADCCAYAAAB9nrZPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | B | 6,327 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMsAAACdCAYAAAAaLIzZAAAXB0lEQVR4nO2de3xT9d3H35VAWwgFiiVgCy0FymXlJqRDhQceJ1fnymXqAwqMrep0XB624QX0QZw8Q5mrWHR7QX05YYLCi0LZpgI+G5VWgXITAtTSlgIpEGJbmqakGal9/ggntKU0KTknOUl+778gOTnnNDmf8zu/7+XzC6uvr69HIBC45S5/n4BAECgIsQgEHiLEIhB4iBCLQOAhQiwCgYcIsQgEHiLEIhB4iBCLQOAhQiwCgYcIsQgEHiLE... | <image>Find x. Assume that segments that appear to be tangent are tangent. | C | 6,328 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAHmCAYAAAB0wyeXAACnBElEQVR4nOzdd3hc1bXw4d+Z3qQZdcmWreJuYxswBjd6MSWBUAIkBEhy0wlJSCFf2k2/yU0B0rgJ6YQAIRBKCL3jboO7Lcm2JMvqvUyfOed8f8xoNJKbJKuMpPU+T55YRpbHU846e+9VFF3XdYQQQggxaRnG+wEIIYQQYnRJsBdCCCEmOQn2QgghxCQnwV4IIYSY5CTYCyGEEJOcBHshhBBikpNgL4QQQkxyEuyFEEKISU6CvRBCCDHJSbAX... | <image>Find x. | B | 6,329 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQgAAAEDCAYAAADJMZo8AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMdgyCCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrtzABEu26Fk/925YfbBx32FM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the value of x. | D | 6,330 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATQAAAC/CAYAAABwgSAwAAAdAklEQVR4nO3de1jUdb4H8LeME5cRmbgJcnFQUSQtkLELoa5pbZZLqytn3ecpU3bbLnuOtsWuXVY76dmza/m45bN2PauVna1nNV09pW3auhZSGSqlIokiIoMIwzQwwMw4MJ4/Rn7MwNyAGWbm93u/nqfnGWqEb/j7vef7+d5+I7pMDVdBRCQCYYFuABGRrzDQiEg0GGhEJBoMNCISDQYaEYkGA42IRIOBRkSiwUAjItFgoBGRaDDQiEg0GGhE... | <image>Find \widehat D G if m \angle D G I = 24 and r = 6. | B | 6,331 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVcAAAFpCAYAAAAoQWvFAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. | B | 6,332 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvkAAAEZCAYAAAANEDpnAACEa0lEQVR4nOz913Ocd5rmfX7TZz7pLbz3oJchRXlvS1XVVe27Z97umd092Yg92Niz+Qf26D3c2Nh4d3umu6Z6ql1VSSpJpAxlaUSJHoT3Pr33mc8ePAmQUsmLFAHw/nQoOkoECQgEkFf+8rrvn05VVRUhhBBCCCHEnqG/0x+AEEIIIYQQ4taSkC+EEEIIIcQeIyFfCCGEEEKIPUZCvhBCCCGEEHuMhHwhhBBCCCH2GAn5QgghhBBC7DES8oUQ... | <image>Find m \angle 3. | A | 6,333 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVMAAADDCAYAAAA/WvKDAAAioElEQVR4nO3deUBU5f7H8fc0IIsIArIJ4gaIu6KAiYmZS9rirmlqdjPturTcymtZqfmzxVZLLW+aZqm5lJG2uKRSuKEiCm4ssggiuwICygzn94eCiAioAzMD39dfxTkzPoP44Tnf8z3Po1IURUEIIcR9eUDfAxBCiLpAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRAwlQIIXRA... | <image>If b = 18, find a. | B | 6,334 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAn0AAAHzCAYAAABVIav4AAD5q0lEQVR4nOzdd3ib9bXA8e+rPWzLe9vZtrP3ZIW9CXuPlpaWWUZbaOEWShmlhbJnWyh7Q4Cwww4kZO/EdpzlvW3Zsrb03j8ky3amndiOx/k8T5/nhushydKro/M7Q1FVVUUIIYQQQgxomkN9A4QQQgghRM+ToE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQoE8IIYQQYhCQ... | <image>Point S is the incenter of \triangle J P L. Find m \angle S J P. | B | 6,335 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALQAAAD+CAYAAACTDi84AAAaKElEQVR4nO2de1xU1drHf8P9JiiIiKAiIuoRzdtIhQTpwdSjomla1DErfCuTOnXCPFqp+dqrYm8XTUvxqHSiT2kmpmJaJMJkiqIlZXLx1iAid0SGgRnm/DHORZiRgbnsPWs/3792zLhZTF8e9l6/vZ4lUqlUKhAEIzhwPQCCsCQkNMEUJDTBFCQ0wRQkNMEUJDTBFCQ0wRQktIAplNahUFrH9TAsCgktUI6cLsXg90/jqW3nUF3fxPVwLAYJ... | <image>Find x. | C | 6,336 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAADoCAYAAACHI9M7AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the figure. Round to the nearest tenth, if necessary. | C | 6,337 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAEACAYAAACpjCPWAAAhJElEQVR4nO3de0BUZcIG8IcYLgMIAiEqKAiIWqRWomuIsuUNN/IWbepuusnuaq61btH6pZVdbE1qq3Wz2ihXN+1CYmaJoBneskATDVMRFGrICBkuAgMCzvfH5HiYBGZGZs7t+f2lzjC8Xnp6z/ue5z0uRqPRCCIiK10n9gCISF4YGkRkE4YGEdmEoUFENmFoEJFNGBpEZBOGBhHZhKFBRDZhaBCRTRgaRGQThgYR2YShQUQ2YWgQkU0YGkRk... | <image>Find y. | C | 6,338 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAukAAAI/CAYAAADKo0c5AACiLUlEQVR4nOz913fdaZrld34P/IH33nvvPeht2IyMrCx1V6mrpyVdSBpdaM3S7fwPczdrZmlmSm2q1N1VlRkZnt7BWwIgvPfe2wPgnDMXAEEABCMYESQPzP6sxQwmAIIPgwxg88X7e7bBarVaERERERGRE8PO1gOIiIiIiMhhCukiIiIiIieMQrqIiIiIyAmjkC4iIiIicsIopIuIiIiInDAK6SIiIiIiJ4xCuoiIiIjICaOQLiIiIiJywiik... | <image>Find m \angle 1. | D | 6,339 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAGvCAYAAACOxHZrAACPZElEQVR4nOzdd5iU1dnH8e/0sjOzvTeW3osgCEgRBHtLNDEmMTG96JtoEmOaLTExVY1JNMVYE0s0sUtRQMCCoPTO7rK9t+n1ed4/ZnZ2lw4u7Ozs/bkuLtllWYedmef3nPuccx+NqqoqQgghhEgI2oF+AEIIIYToIcEshBBCJBAJZiGEECKBSDALIYQQCUSCWQghhEggEsxCCCFEApFgFkIIIRKIBLMQQgiRQCSYhRBCiAQiwSyEEEIkEAlm... | <image>Find x. | B | 6,340 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATQAAADsCAYAAAD6m1ppAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | C | 6,341 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAFyCAYAAAC6K64HAACQi0lEQVR4nOz9dXxcd5qmD1+nmFUoJkuyDDJjzInDzJw0pLsHd2BndnYWZ2dn5rfv7s7MDs92z07S3eGkkzgMDpiZbdmybItZKmY+7x9VliVDYrbge30+jq1YKp+qOnXu89D9SLIsywgEAoFAcINR3OgDEAgEAoEAhCAJBAKBYIwgBEkgEAgEYwIhSAKBQCAYEwhBEggEAsGYQAiSQCAQCMYEQpAEAoFAMCYQgiQQCASCMYEQJIFAIBCMCYQg... | <image>Find the length of \widehat Z Y. Round to the nearest hundredth. | B | 6,342 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAocAAAEvCAYAAAA3s2v8AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 7 if m \angle 4 = m \angle 5. | D | 6,343 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASIAAAEBCAYAAADchqguAAAhLklEQVR4nO3daWBU5dnG8X+YTDZCgISYhC0rW9iVABUQahEtLiCCC20RW1otSKtYrFuruBawLnXhbUVwq1pRS9RiVayo4ELUsCYSTNgJISSBELIwmZz3QxwEDVln5pyZuX6fFIbJAzNzzTn3ee77BBmGYSAiYqJ2Zi9ARERBJCKmUxCJiOkURCJiOgWRiJhOQSQiplMQiYjpFEQiYjoFkYiYTkEkIqZTEImI6RREImI6BZGImE5BJCKmUxCJ... | <image>In R S T V, R S = 6, V T = 3 and R X is twice the length of X V. Find X Y. | B | 6,344 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWIAAADoCAYAAADVAO5wAAApp0lEQVR4nO3dfVyUdb7/8ZcLpIOIAiIiCIiIqGjegSYa1mZmW2G61sk2yxN1trLd3D26rrVr7aZruq2/0mrPZqdyu9myvGnb8u60UmAmiKaI3Is6qIiAIDAQg/P7Y5xxgAEGmOG6ZubzfDx6PC5hZriImfd85/v9fD9XL4PBYEAIIYRifqT0CQghhLuTIBZCCIVJEAshhMIkiIUQQmESxEIIoTAJYiGEUJgEsRBCKEyCWAghFCZBLIQQCpMg... | <image>Find a, if F G = 18, G H = 42, and F K = 15. | D | 6,345 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEFCAYAAAAfRLtkAAAiX0lEQVR4nO3de0DUZd738bciKoYomKKCR1DRsERFTSi828zWDqZ2WN0y3cx2S+vu3nQta81nb31Mt6y0utvcNWsfyy2PnTR7Sgos0USFFBUUFQ/IgokIIozcf4zQyGH4oXP4zczn9ZfJb+DSaj5zHb7Xt1FFRUUFIiIiBjR29wBERMRzKDRERMQwhYaIiBim0BAREcMUGiIiYphCQ0REDFNoiIiIYQoNERExTKEhIiKGKTRERMQwhYaIiBim... | <image>Find x if A E = 3, A B = 2, B C = 6, and E D = 2 x - 3. | B | 6,346 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgYAAAGjCAYAAABXBt1gAABkh0lEQVR4nO3dd1jc95nu//f0wjCUAVHVEQjZlrtkFfcmO30dJ3HilE3ZOImze7J79mTr7+zJSfZsPWd3kzhZZ4tTncSbXtxluciyLdtykSVAqCBAgKgD02e+8/39MTAggSSQQMDM/bquXI4sGY0EzNzzfD7P81hM0zQREZEFJsqb37yXL3zzOdoilbz9f/4TX3zXRVT47Fjm+6FJTrPO9wMQEZHJkod/xQM/f4PusJsLPvjH3HPLWpYUKBTI... | <image>If C E = t - 2. E B = t + 1, C D = 2, and C A = 10, find C E. | A | 6,347 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkgAAAFcCAYAAAAzsUG/AABfc0lEQVR4nO39Z3Dbd77veb6RI0ECBMAgkiJFURQDSMk5x3a2le12n773nDt398zWTs2DeTYz+2C37tRUzdypmn24tbVTc0/ubtuKlrNly0nOCiSYSVGkmJEBIqf/PgBbdqsdZJkiGL6vqu5zqgESX1Ek8dH39/t9fypFURSEEEIIIcQ16nIXIIQQQgix3khAEkIIIYS4jgQkIYQQQojrSEASQgghhLiOBCQhhBBCiOtIQBJCCCGEuI4EJCGE... | <image>Find m \angle 4. | A | 6,348 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANkAAACgCAYAAACBk8l/AAAZLklEQVR4nO2df1gTV9bHv5QgvyIKiBFBQUBFjPVHQW21hVqt1a2iuNpX2tpaqc/Wqq3rYt3ardrWXavbtRXftmu1Vq26uxb80b5atGulYusPVNQoEgFRgxojAQKYRKJ5/4iZTCCBAJkME87neXyeGZjMvZL53nPumXPP9TAajUYQBMEZj/DdAYJwd0hkBMExJDKC4BgSGUFwDImMIDiGREYQHEMiIwiOIZERBMeQyAiCY0hkBMExJDKC4BgS... | <image>Find \angle 9. | B | 6,349 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAEJCAYAAACt9OGOAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Which segments are parallel? | C | 6,350 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVsAAADtCAYAAAARK9YxAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals? | C | 6,351 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAD0CAYAAABabxsKAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMtgxKCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsjbpNp26UPvUMu/AinePU30mY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find x. | B | 6,352 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm0AAAF9CAYAAABWNV+4AAA7+UlEQVR4nO3dd3xW5f3/8dc5574zSQiZBEhIwlBkuBgKAk6GYG0VrW2d1bq1to62Vq2zzlZtXXV+rbsOxAEuBByAIEtQRkjIYAQSyF73fZ9zfn/E8qsKQiDJfZ/k/Xw8eDzI4z7nOp8TQu73fV3XuS7DdV0XEREREYloZrgLEBEREZE9U2gTERER8QCFNhEREREPUGgTERER8QCFNhEREREPUGgTERER8QCFNhEREREPUGgTERER8QCFNhER... | <image>Find \angle C of quadrilateral A B C D. | B | 6,353 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAD1CAYAAAAlFfzlAAA9pklEQVR4nO2deVxUZRfHvyOigLiAIiEo+6agiWuiSYWpaa6VaYtZ2ltqpZm+vlppmWZqm1laaVqpZaapZaWSYYqaC4igyCoqRMi+yOIw3PePAYRhgGEZZoZ5vp+Pn8/gXebMzL2/+zznnOccmSRJEgKBQGDEtNK1AQKBQKBrhBAKBAKjRwihQCAweoQQCgQCo0cIoUAgMHqEEAoEAqNHCKFAIDB6hBAKBAKjRwihQCAweoQQCgQCo6e1rg3Q... | <image>Find m \angle H. | A | 6,354 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAToAAAD5CAYAAAC3SfnyAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the shaded sector. Round to the nearest tenth. | C | 6,355 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAHJCAYAAACcxt02AACYhklEQVR4nOzddXyV5RvH8c/JdTJidHeXotJgooJ0d9cIJexCUWJ0d6fYCiJKiHR3N+veTj7n98fgsP1EZLDtnO1c79dr/wwYD2fjOddz39/7ulQ2m82GEEIIIYR4LGpHX4AQQgghRE4ixZMQQgghRAZI8SSEEEIIkQFSPAkhhBBCZIAUT0IIIYQQGSDFkxBCCCFEBkjxJIQQQgiRAVI8CSGEEEJkgBRPQgghhBAZIMWTEEIIIUQGSPEkhBBC... | <image>E B \parallel D C. Find x. | C | 6,356 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAggAAAIKCAYAAABGNLdoAACa4ElEQVR4nOzdd3hc1bX38e+Z3mfUuy333jvN9A6hJiENQg2Bm56b5LbcvLnJLekhjQAhlQ4JvdiADe64927Jsnqf3s/7x4xG3ZbtkSyN1ucJD5GwhzGaOec3e6+9lqKqqooQQgghRBeac/0EhBBCCDH8SEAQQgghRC8SEIQQQgjRiwQEIYQQQvQiAUEIIYQQvUhAEEIIIUQvEhCEEEII0YsEBCGEEEL0IgFBCCGEEL1IQBBCCCFELxIQhBBC... | <image>Find m \widehat X Z. | C | 6,357 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAD2CAYAAAAj3nsdAAAT60lEQVR4nO3db2gcZ37A8Z8Tw8lw5/H6aoruqrUtHX1hdrlyIFqyqiw3YGOJu/NLyShIfdGLEydBEHIG1S8UsAXGpIjmkth5E4sYSdAXTVos40CIrWpDi2iasCJ90Sp2dmnE4SbyuCkWVLB9Ic94drXP7qy08+d55vt5tZbH5omsPN+d55mZ3VUul8sCAEANT0U9AABAfBEJAIASkQAAKBEJAIASkQAAKBEJAIASkQAAKBEJAIASkQAAKBEJ... | <image>If Z P = 4 x - 9 and P Y = 2 x + 5, find Z X. | D | 6,358 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf4AAAHsCAYAAAAzcc+1AACOmElEQVR4nOzdd3hb15nv++9GbwRAgATATqpbXbKqe42dZqc4PXESp0xJTqadzJzJnHPnzJly75RMOZOZSeJUp/fiOIlLYlu2JVnFlmT1QrETAEkQANHL3vcPgCBlq4sFJN/P82gccSRwiyT2b693rfUuRdM0DSGEEEIsCLrZvgAhhBBCzBwJfiGEEGIBkeAXQgghFhAJfiGEEGIBkeAXQgghFhAJfiGEEGIBkeAXQgghFhAJfiGEEGIBkeAX... | <image>H K and I G are diameters of \odot L. Find m \widehat I H J. | C | 6,359 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATIAAAEUCAYAAACoM7ruAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | B | 6,360 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjQAAADdCAYAAACsX+hgAAAtsUlEQVR4nO3dfUDV9d3/8adxSI4CCoigAiIKopJ5h5laerWs1lqUrrryKsvF2la25brs6lfbyjab01UrrVa52d3aWnfaqtmshvNm5i0pKiIKIoiIHASRA3GO5/fHkeMRuTvcnfM9vB5/HeHcfBD4nhefm/e7h8PhcCAiIiJiYBd5ewAiIiIi7aVAIyIiIoanQCMiIiKGp0AjIiIihqdAIyIiIoanQCMiIiKGp0AjIiIihqdAIyIiIoanQCMi... | <image>Find T X if E X = 24 and D E = 7. | D | 6,361 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXIAAADwCAYAAAAdK+9uAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwA2EoonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzPKNvnxTJODwXuf8/uedhyZZYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find x. Round to the nearest tenth. | A | 6,362 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATwAAAD5CAYAAAC6V4m1AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the figure in feet. Round to the nearest tenth, if necessary. | A | 6,363 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAC6CAYAAACEJglQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the rhombus. | B | 6,364 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAGzCAYAAAA44PAPAAApoUlEQVR4nO3df3BV1b338a8PjTPKAHkmBBUahGrCjwBa8AQSvXTkRwRaS6kFUbxRRFpu76CMUnrrkMvQcFEQeVBmLBaimBZJoTzItA9gADvXiwFzgCIQIInWkDRpFTKThKHONOPk+QPOydn77HNy9vm11177/ZpxJvvkZLMkkA97r70+66bu7u5uAQAgRv/L6QEAANyF4AAA2EJwAABsITgAALYQHAAAWwgOAIAtBAcAwBaCAwBgC8EBALCF... | <image>Find G H in the kite. | D | 6,365 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAAEMCAYAAAC4FB/6AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHwA/E4onJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzJKwP7SmjtmnLtPjr/HhLU5mmOpRAFdKanEykP4DxOnJBUUlDAyMKUC2cnlJAYjdAWSLFAEdBWTPAbHTIewNIHYShH0ErCYkyBnIvgFkCyRnJALNYHwBZOskIYmnI7Gh9oIAr4urj49CsKuRuaGl... | <image>Find the value of the variable y in the figure. | A | 6,366 | 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 Z A C. | A | 6,367 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQEAAAEXCAYAAACtY/F7AAAam0lEQVR4nO3dXUwUaboH8P+ceBJMRktMvHBMt6ATL0y3Mm5ck8UPPCfRCFF67oA4R9iLFWVnZdYYEtZEJnFJWOMMnlkR9mLAjBHuppmJECc5EZCexDHrot3xgqxf3XG8MBksnUQuSDwX3VVUN9WfVHdVve//dwXSavnRf956n+d96r137969AxFJ6z/svgAishdDgEhyDAEiyTEEiCTHECCSHEOASHIMASLJMQSIJMcQIJIcQ4BIcgwBIskx... | <image>If W X Y Z is a kite, find W P. | A | 6,368 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAisAAAIGCAYAAACVnM/AAACkuUlEQVR4nOzdd3xkdb3/8deZXpNJ79lke4EtLAu7dJCOIohi7yJW1Kte9fqzXK9dVOzlXkWwoKiANOlLWer2ls32Te+ZSTJ9Tvn9MZPJTLJ9k80k+TwfD+6Flc0G2Jnznu/3UxTDMAzEydE1ErqCxWJCOdkvocaJxwZoWv84Dz30NC9t2M7etn4iqoHZUUDVojVc/c4P8e6rllDmsWE62V9ICCGEmKIUCSu5wEBXEyQSKqqqoalRIjGwOu1Y... | <image>Find m \widehat Q T S. | C | 6,369 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbcAAAFNCAYAAACDniGUAAA2jElEQVR4nO3de1iUZd4H8C+rVkOkMVlmg4AKGrmKYcgOalFRLpR5Kg+gb+6mK1imhptb0FGwLI8dPKxWtoqnVhc3kxeXVq2UFVZyJOXVQQVkMg+MJ2IsxXn/GOdxhuMMc3gO8/1cV9f1AMNwqzTfue/n/t0/P7PZbAYREZGC/EbsARAREbkbw42IiBSH4UZERIrDcCMiIsVhuBERkeIw3IiISHEYbkREpDgMNyIiUhyGGxERKQ7DjYiIFIfh... | <image>What is the measure of \angle B if m \angle A = 10? | A | 6,370 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgoAAADDCAYAAADjuTkAAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEIMogwGCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs57UXFY2uHP7VlV2fX61hdB9TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle? | D | 6,371 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPkAAADlCAYAAACRW1FwAABfx0lEQVR4nO1deXxU1fX/TibbZN8DSYCQBZIAyhIUA4IL1Ko1ioLFKlapdW3FVmz115+1LV2wolVbrVqLC/pzgaoFd9xACEgCBIEkkIUkJIQkk8meSSaZvN8fb+bNfct9775ZsuB8P5+ByZv77j13Ofeec+655xqG+s0cx0GAwQACHPHNQEmjmBygpaGBozxnzceTsj3J05t1ZnmfUh43TDwmn9P61pM2YukrWhq1dCzPySSUOtPKItOLkgTo... | <image>Find m \angle C A M. | B | 6,372 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVcAAAC2CAYAAABtXs6LAAAxJklEQVR4nO3deVyU5fr48c/IPiAKioigooCi4oKKS2iioaiZuKSVX8Xdcks9pqejlcf6aZlpllslHsoNl1wwc7cgxQVUXFBUUEEhJJRNZIf5/YGM7OsMs3C/X6/+wHlmuCfuueZ67ue+rkcik8lkCIIgCApVT9UDEARB0EYiuAqCICiBCK6CIAhKIIKrIAiCEojgKgiCoAQiuAqCICiBCK6CIAhKIIKrIAiCEojgKgiCoAQiuAqCICiBCK6C... | <image>Find x so that the quadrilateral is a parallelogram. | C | 6,373 | null | C |
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