images listlengths 1 1 | problem stringlengths 14 525 | answer stringlengths 1 112 | id int64 0 5.47k | choices null | ground_truth stringlengths 1 112 |
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[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAAFoCAYAAAAVVD34AAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR... | <image>Find x. | C | 800 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAADWCAYAAAAuAhI8AAAnSklEQVR4nO3de1zUZdrH8Q8CchBRQEIDFRBRE80TamLqlgc0k5Tc0jbTdLct07LCx1UrrSySXC00baNM29XKBUMtT+WKoZV4IEVR4qigIjIIIgMyOM8fE4gKKjjH31zv12v/WByGG5Fv99xzXfdlo9VqtQghhFCEJqZegBBCCP2RUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWRUBdCCAWR... | <image>Find x. | C | 801 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADgCAYAAADFYxD+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle 2 in the figure. | A | 802 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgYAAAEyCAYAAACBPBiGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. (Hint: Draw an auxiliary line). | D | 803 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAADWCAYAAAC5U7XmAAAZD0lEQVR4nO3dX2xUV34H8G8qKzItZkwqumvQTEzSOpI7Aw6RNxLjGNOHpBglnrQvY0SEvQ+BwKYxTbOWHKQQybVkIRJndzEmD8WoLPZbx5UwJS8xxINErFDDTK2uuxBnpoC6VrEvoLXVWnUfxvf6znj+3PHcf+fe7+fJsa/hxr78zu/8zu+e88zy8vIyiIgE9QdW3wARUSkYxIhIaAxiRCQ0BjEiEhqDGBEJjUGMiITGIEZEQmMQIyKhMYgR... | <image>A B C D is a rhombus. If P B = 12, A B = 15, and m \angle A B D = 24. Find m \angle A C B. | D | 804 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARcAAAC5CAYAAAACsnv+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find h in the triangle. | A | 805 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAEiCAYAAADgc0uGAAA1DElEQVR4nO3deVyVZf7/8RcBKYooKuKCooIb4YKKOkLhNJqV5kbL6JTLZM1UNo2/0q9pjVqj39TMJs2+lZNLpTnm1sxUplM6aikuqKAiihuYIQKyyBLg+f2BEjsH5Gw37+fjMY+Hwn04V87hft+f+76uz+VkMplMiIiIiMO7w9YDEBERkdqhUBcRETEIhbqIiIhBKNRFREQMQqEuIiJiEAp1ERERg1Coi4iIGIRCXURExCAU6lKnjfj9n2w9... | <image>Find A E. | B | 806 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADRCAYAAAAKRcT2AAAf9klEQVR4nO2de0BTZ5rGHypUgxEFxVS5FhBRY4WWYHfVQmfrrWPFy2oXt9q6YndaqbNuB8vWnbFO126rY51RamerHap2ta0jir2iHQdbmCqioERFBIsSVBoBicQkGsz+kc0hV8jlJOck5/39dQK5fMk5z3nf7/m+7/2CDAaDAQRBBDwPcN0AgiB8A4mdIAQCiZ0gBAKJnSAEAomdIAQCiZ0gBAKJnSAEAomdIAQCiZ0gBAKJnSAEAomdIAQC... | <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | D | 807 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAt8AAAHuCAYAAABHxGBRAADwRElEQVR4nOzdd3xcd53v/9c507vKSKMuy713x3ES2+kVCIRAgIQOW+7u0raX394t9+4ud/susHQIBAKBEEjvceIS996behm16X3OOb8/ZixLieO4qn6ej4djKZZGR9KU9/mez/fzUQzDMBBCCCGEEEJcdepYH4AQQgghhBBThYRvIYQQQgghRomEbyGEEEIIIUaJhG8hhBBCCCFGiYRvIYQQQgghRomEbyGEEEIIIUaJhG8hhBBCCCFGiYRv... | <image>The diameters of \odot A, \odot B, and \odot C are 8 inches, 18 inches, and 11 inches, respectively. Find F B. | B | 808 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAa0AAAGqCAYAAAC4UxuPAACQ0ElEQVR4nOzddXhc15n48e8d5hnRjNiSBWaGJI7DDTTMnDLjtt1ud7dd+nW32912t8zdUpo4jA465DgcM8i20GLNjKRhnjv398eMRzIksWXJovN5njyJHWskS3fue885L0iKoigIgiAIwjSgmuwvQBAEQRBOlAhagiAIwrQhgpYgCIIwbYigJQiCIEwbImgJgiAI04YIWoIgCMK0IYKWIAiCMG2IoCUIgiBMGyJoCYIgCNOGCFqCIAjCtCGC... | <image>In \odot F, G K = 14 and m \widehat G H K = 142. Find m \widehat K M. | B | 809 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVwAAAD5CAYAAABrsI3FAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find x. | C | 810 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApoAAAMjCAYAAAAFvrD2AAEAAElEQVR4nOzdd3xV9eH/8de5O3sRQhJCyATZ7r0XqCytdVu7vt1qtVrr3rNqtevX1lGtu1WZ4t5bUURmFiQhIWTPu+85vz8SboIDGQkk5P18POgfasJNc+857/MZ74/h8/ksRERERET6mcPhcOzu1yAiIiIieyDDNE2NaIqIiIhIv7Pt7hcgIiIiInsmh2EYu/s1iIiIiMgeSCOaIiIiIjIgFDRFREREZEAoaIqIiIjIgFDQFBEREZEBoaAp... | <image>If A B C D E \sim P Q R S T, find the perimeter of A B C D E. | C | 811 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAE+CAYAAADcVJbmAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwAjElonJxQWOAQE+QCUMMBoVfLsGVAkEl3VBZhVMZGc014m8s5Pb95PD/RUrMNWjAK6U1OJkIP0HiNOTC4pKGBgYU4Bs5fKSAhC7A8gWKQI6CsieA2KnQ9gbQOwkCPsIWE1IkDOQfQPIFkjOSASawfgCyNZJQhJPR2JD7QUBXhdXHx+FYFcjc0NL... | <image>If P Q \cong U Q and m \angle P = 32, find m \angle P U Q. | A | 812 | null | A |
[
{
"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 t. | C | 813 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQoAAAChCAYAAAA/Z/FQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded region. Round to the nearest tenth. | C | 814 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAF5CAYAAAAS6mexAAB3XklEQVR4nO39d3Ck9b33fb6vzjlKraxRmJwjk8g2YBMMBhvngAP2sc+5n2fr2dqq/WN3a7dqd6t2n9pQe9/nHIMNxsY+2GBsosmZSUxicpBGGkmt1N3qVud87R9Xq6WBAYZhFOf7qrIxskbTE9T96V/4fhRVVVWEEEIIIcS8p5vtByCEEEIIIa4MCXZCCCGEEAuEBDshhBBCiAVCgp0QQgghxAIhwU4IIYQQYoGQYCeEEEIIsUBIsBNCCCGE... | <image>Find m \angle 2. | D | 815 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAD+CAYAAADcWrmEAAA+N0lEQVR4nO2dfVxUddr/Py5ww+iIAuGgoCAgoo6lBugmhXerpW2F2lqrv7Lc0G1be3C7cV1r19rSNd3WfOiZ1rJuWzNJ0/KxkoRSQaEcFUdEwEHAkUFGYJibIX5/jHPmzDAzDHDOmXPOXO/Xq1eDjjNfZs75fq6n73X16ejo6ABBEAThl/zC1wsgCIIgfAeJAEEQhB9DIkAQBOHHkAgQBEH4MSQCBEEQfgyJAEEQhB9DIkAQBOHHBPp6AQTh... | <image>The diameters of \odot A, \odot B, and \odot C are 10 inches, 20 inches, and 14 inches, respectively. Find B Y. | A | 816 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVsAAAC7CAYAAADL/D3bAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. | D | 817 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAACxCAYAAADj/4nUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary. | D | 818 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjQAAADdCAYAAACsX+hgAAAtsUlEQVR4nO3dfUDV9d3/8adxSI4CCoigAiIKopJ5h5laerWs1lqUrrryKsvF2la25brs6lfbyjab01UrrVa52d3aWnfaqtmshvNm5i0pKiIKIoiIHASRA3GO5/fHkeMRuTvcnfM9vB5/HeHcfBD4nhefm/e7h8PhcCAiIiJiYBd5ewAiIiIi7aVAIyIiIoanQCMiIiKGp0AjIiIihqdAIyIiIoanQCMiIiKGp0AjIiIihqdAIyIiIoanQCMi... | <image>Find A X if E X = 24 and D E = 7. | C | 819 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAFTCAYAAAAeKPqsAABgqklEQVR4nO3dd2Ac13nv/e/M9obeO9jA3rt6pZol2ZYlW7JsucQtjnPTE79xmnMTpzn32nEcX/eqYstWLyQlUmInJXYSBAmi97Io29vM+8cuFgCLRIlLAth9PrYEkgLJIbE7vznPOec5iq7rOkIIIcRlUqf6AoQQQqQHCRQhhBApIYEihBAiJSRQhBBCpIQEihBCiJSQQBFCCJESEihCCCFSQgJFCCFESkigCCGESAkJFCGEECkhgSKEECIl... | <image>Find x. | B | 820 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYkAAADYCAYAAAAeeB9bAAAQMUlEQVR4nO3dT2gc1x3A8Z+LKTbEHiutaRyzGwebXrpL3BZT6IrUpSfLbaOjbBzsQKmdqgktIRhUHx2BCSkhqbEdGohJkHQqcorlUxs7aAOtSWuz20PbmDYrHBfUVhk7EFMM6kGa0ay0T7tvd2Znfm++HwhI0Voa9HbfV2/+7YbFxcVFAQCghS+kvQEAgOwiEgAAIyIBADAiEgAAIyIBADAiEgAAIyIBADAiEgAAIyIBADAiEgAAIyIBADAi... | <image>Quadrilateral W X Y Z is a rectangle. If X W = 3, W Z = 4, and X Z = b, find Y W. | C | 821 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAGUCAYAAAA1a1VIAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMjAxaCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisAzE/mqMZRJ9vLbg2Z0nKum2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>If m \angle 1 = 3 x + 40, m \angle 2 = 2(y - 10), and m \angle 3 = 2 x + 70, find x. | A | 822 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATkAAADmCAYAAACu/vK/AAAbKElEQVR4nO3de3iU5bnv8W+cxBASjiEGJJyRY9BwCpSEohZP1IUtHtaiB1BLtxXBbnVjrXRptVvLlrZWpXjtvdhF7epyWxQLRSvgCRtUEiAgIYEEwimAISRqGEggmcz+Iw4dhkkyk8zMe/p9ros/gAl5Apkf7/2+z30/cV6v14uIiE1dYvQCRESiSSEnIramkBMRW1PIiYitKeRExNYUciJiawo5EbE1hZyI2JpCTkRsTSEnIramkBMRW1PI... | <image>If R T = 15, Q P = 21, and P T = 8, find T S. | C | 823 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAFqCAYAAAAnVzG2AAA2jUlEQVR4nO3dX2xU5/ng8ScVlcyK5OBouYBoBhtYtEIzgaailTrEJq02CHtb3IuVbOQIsxexCc3WbcTPErCKIwGSi9I6TYnt3MRWLXtuVjWJbItIv18N8UTbWk2dzCwXbAzOzBK0ywp7oFqslbXei+Eczvw/M3POnD/z/UiRPPZ4/IZjOM+8z/M+zzMbGxsbAgAAYIPv2L0AAABQuwhEAACAbQhEAACAbQhEAACAbQhEAACAbQhEAACAbQhE... | <image>Find the value of x in the diagram. | D | 824 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXMAAADqCAYAAABQpKWtAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, use the given areas to find x. | B | 825 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV4AAADaCAYAAADufSpgAAApZklEQVR4nO3deVxTZ9YH8B+KShC3UIsKCq2C1lJRFKwGB2pFCi7gilAXnOKn7sVRxBHntU7FV1BHWi3qiANuWKkLuEAB60AlUkFRKlVL1AISLa8SBZGAsrx/pAkJ+5Lk3nDP968MSW4eO3h8cu55ztGrqampASGEEK3pxPQCCCGEayjwEkKIllHgJYQQLaPASwghWkaBlxBCtIwCLyGEaBkFXkII0TIKvIQQomUUeAkhRMso8BJCiJbpTODd... | <image>Find y. | D | 826 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAEKCAYAAADw7UTzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, a \parallel b, c \parallel d, and m \angle 4 = 57. Find the measure of \angle 5. | C | 827 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAH7CAYAAAB8ALMEAADyFklEQVR4nOzddXhc17X38e8ZRjFLlizLzDHFGNthZm7aJm3aW27K+Pbe8m2b4g0U07QNNYwNOI4DppgZJNlCW4zDcM55/xh5BJZkSZZs2V6f58ljiCyN5Zkzv7PW3msruq7rCCGEEEKIUcdwuh+AEEIIIYTonQQ1IYQQQohRSoKaEEIIIcQoJUFNCCGEEGKUkqAmhBBCCDFKSVATQgghhBilJKgJIYQQQoxSEtSEEEIIIUYpCWpCCCGEEKOU... | <image>Find m \angle G. | A | 828 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAEACAYAAACTecuMAAAyb0lEQVR4nO2dfVyUVd7/3wakGIKgiArKg4iIqDwImlq4rWa1FaVbrd6r6Z21W2m7bWvrXe1Wu2s/y7u8S8vdotvKbt1y1Sx302pbKSgVVBREQORxEHFkkBEYiMH5/THOxQDDzADzcM3Meb9evV4DXtfMabg+53zP93zP5wzS6XQ6BAKBR3GdsxsgEAgcjxC+QOCBCOELBB6IEL5A4IEI4QsEHogQvkDggQjhCwQeiBC+QOCBCOELBB6IEL5A... | <image>If M D = 7, find R I. | B | 829 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXwAAADjCAYAAACGoK/oAAAZGElEQVR4nO3db2gb6Z0H8O92F+rlrp54j6WXK5rYSdoXQbouW/JmR2fHd5BgmWTTVycZp/a+WTvrDZejuALFUAe8Bq3p4TbnRM6bxBdj6dWR3cUyCRybuNZSCJf+mSEvtknsjGhD2TbO5ApxwTT3Qp6JZEuWbGk0M3q+Hwhkx4r1eKXn65+e+c0zr7x48eIFiIio4X3N6QEQEVF9MPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATBwCciEgQD... | <image>Quadrilateral A B C D is a rectangle. m \angle 2 = 40. Find m \angle 1. | B | 830 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVoAAADxCAYAAACK/X/vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>For the pair of similar figures, find the area of the green figure. | A | 831 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAD1CAYAAAAlFfzlAAA9pklEQVR4nO2deVxUZRfHvyOigLiAIiEo+6agiWuiSYWpaa6VaYtZ2ltqpZm+vlppmWZqm1laaVqpZaapZaWSYYqaC4igyCoqRMi+yOIw3PePAYRhgGEZZoZ5vp+Pn8/gXebMzL2/+zznnOccmSRJEgKBQGDEtNK1AQKBQKBrhBAKBAKjRwihQCAweoQQCgQCo0cIoUAgMHqEEAoEAqNHCKFAIDB6hBAKBAKjRwihQCAweoQQCgQCo6e1rg3Q... | <image>Find m \angle J. | C | 832 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOMAAAEJCAYAAABmJpAcAAAcgklEQVR4nO2deXxU5b3/38lkQgYSE8MA2SCBQAiLkEAAWa3Iq4oWLaBtfve6XL3Xtvqr0iv6q0sttffagvXW5V57VaqI2ltL1boUF35qRRGUxVDZAiGQjSwQQvZtMjP3j2GSASYzZ5JZzvJ9/5OT5Dk5z0zOe57l85xzono6q50IghBxoiNdAUEQXIiMgqASREZBUAkioyCoBJFREFSCyCgIKkFkFASVIDIKgkoQGQVBJYiMgqASREZBUAki... | <image>Find E D if A B = 6, B C = 4, and A E = 9. | B | 833 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAAEeCAYAAADBxHNeAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 4. | C | 834 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAEXCAYAAABbBramAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Refer to the figure at the right. Find the value of m \angle B C E if p \parallel q. | A | 835 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAADJCAYAAADW3gwgAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Find x. Round the side measure to the nearest tenth. | B | 836 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA5kAAAHxCAYAAADnbng4AAEAAElEQVR4nOzdd3RVZdrG4d8+PSe9EwgdkhCqig17FxVUioLYdXTsbWzj+I3O2Ltjr4A0lapib2BBpQkBQgrpjYT0dure+/sj4SRBCEkIkPJca81aI4Z4IMnZ+9nv+963ouu6jhBCCCGEEEII0QkMh/sFCCGEEEIIIYToOWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEII... | <image>A B C D \sim Q S R P. Find y. | B | 837 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQQAAAEVCAYAAAAGgps0AAAaMElEQVR4nO3dXUxU57oH8H9PuBgT7RITL9TMiNp4QWaE2liTjQKek9QAUWbfDaQ7Qi+OirtbWtKYsE2KiduEY6x094jYiw1mG+BuD22AaLKPSJkm1tSiEC9I/OhMrBcm4tImckHiuZhZL2uG+f5YX+//lzRBGGQ1cf687/M+61nvvH379i2IiAD8h9kXQETWwUAgIoGBQEQCA4GIBAYCEQkMBCISGAhEJDAQiEhgIBCRwEAgIoGBQEQCA4GI... | <image>If W X Y Z is a kite, find Y Z. | C | 838 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUsAAAEbCAYAAABTOaZpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find y in the figure. | A | 839 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcMAAAEWCAYAAAAadfxCAAA4jUlEQVR4nO3df1yV5f0/8JdxGBxFFIiOCioiIurRxEBbUPht/mxOjGZOP2m6yG0NXX42zFWb2Wc20zVXulpFs7TZyiTpl5qttKBUMCmOiIgIelDpxDGO4OGMg3z/OJ6b+8DhnMPh/L5fz8ejR+fgAS6Fc7/u67re13X1aW9vbwcREZGE3eDtBhAREXkbw5CIiCSPYUhERJLHMCQiIsljGBIRkeQxDImISPIYhkREJHkMQyIikjyGIRERSR7D... | <image>Circle W has a radius of 4 units, \odot Z has a radius of 7 units, and X Y = 2. Find I C. | D | 840 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAC2CAYAAAASj9x6AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the triangle. Round to the nearest hundredth. | A | 841 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZ4AAAGXCAYAAACDczbHAAB+CElEQVR4nO3dd3hTV7Y28Pcc9V5syb2bDjYtpNE7AdIhyUwmU+7kziT3m16TmSST6Xf63Om9pE4S0ug9BAgdgukYF9xlybZ61znfH5KPZNMM2LIkr9/z8EAICFmWzjp773evzfA8z4MQQghJEna4nwAhhJCRhQoPIYSQpKLCQwghJKmo8BBCCEkqKjyEEEKSigoPIYSQpKLCQwghJKmo8BBCCEkqKjyEEEKSigoPIYSQpKLCQwghJKmo8BBC... | <image>Find m \widehat V X. | C | 842 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhsAAACeCAYAAACbxcj/AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the height of the parallelogram given its area with 100 square units. | A | 843 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmQAAADzCAYAAAAo7QpuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find the measure of \angle 1. | C | 844 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhoAAAGRCAYAAAAjJhqgAACsf0lEQVR4nOz9d3ic53Xve3+n94IyqIPCBvYG9k6K6pLVi9Usybbck9hJdnZ29jnnfc/uyU6cxNtO3CVbxZKsYvVGir0T7L2izaCX6X2e88eAINhBEh3rc13OdSnCzDwDDWbW3Pe6f0ulKIqCEEIIIUQ/UA/2BQghhBBi5JJCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFEv5FCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFE... | <image>Find m \angle 5. | C | 845 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV... | <image>Use parallelogram M N P R to find m \angle N R P. | A | 846 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgsAAAIUCAYAAACU32+AAABe9ElEQVR4nO39d3Db9932+b5RCRAAeydI9d57o+Qm23JJtWM7duLEcYkTl9y595mdPWfOnvPszuzs7uzucz9xSRzHJbFzJ3aqHTtxL+q9y+qVvReQRAd+5w9ApGRbsApFEuT1msl4TIkQFAM/XPx9P9/razIMw0BERETkAsxD/QRERERkeFNYEBERkZQUFkRERCQlhQURERFJSWFBREREUlJYEBERkZQUFkRERCQlhQURERFJSWFBREREUlJY... | <image>If W Z = 25.3, Y Z = 22.4, W Z = 25.3, find X Y. | C | 847 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAEOCAYAAACAS73mAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 2 in the figure. | B | 848 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAC2CAYAAABu6cCjAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | A | 849 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlAAAAHWCAYAAAC447cdAADngUlEQVR4nOz9d3Ab9/3v/z53UQmAIFhAAOykRFIiRfXeJctd7r3X9DhxEp8yd+6Ze8/cM/M738Qtvcdxi3svsmzZ6r2LRaREUmIFewOIjt37ByC5qVFmk/R5zCieUCCwELCffe2nvD9SJBJRNRoNgiAIgiAIwrmRVFVVx/ogBEEQBEEQLiTyWB+AIAiCIAjChUYEKEEQBEEQhCESAUoQBEEQBGGIRIASBEEQBEEYIhGgBEEQBEEQhkgEKEEQ... | <image>Find m \angle P N M. | D | 850 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkoAAAFxCAYAAACMdodqAABncElEQVR4nO3dd3xV9f3H8de5K3vvACGE7ABuce+tOBHcdWtra2tttdZfa6uttnbZ1lFnXSjg1rr33gvIzSAkjEASsndyx7m/P5Lce4MEAgay3s/Ho39UBW5r7rmv+z2f8/0aPp/Ph4iIiIh8h2W0X4CIiIjIWKVQEhERERmCQklERERkCAolERERkSEolERERESGoFASERERGYJCSURERGQICiURERGRISiURERERIagUBIREREZgkJJRERE... | <image>If P R \parallel K L, K N = 9, L N = 16, and P M = 2K P, find K P. | A | 851 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQwAAACwCAYAAAD681ApAAAblUlEQVR4nO3de0DUZb7H8Tdxl4uAIl4wSFHRsERF3aCjZ7N0K2+42lqma6FlYq5rWpt7MuvYOemapaRnU8NLVmZRul20q21Q3lEhr3gfL4iCXIeRgd/5AxlhGuQ3MMP8Br6v/8a5PaV8+P2e7/d5HhdFURSEEEKF2xw9ACGE85DAEEKoJoEhhFBNAkMIoZoEhhBCNQkMIYRqEhhCCNUkMIQQqklg2NExXb6jhyCETUlg2EnSliN0W7KHpJRf... | <image>Find x. | D | 852 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARoAAAECCAYAAAAhNhhMAAAyLklEQVR4nO2de1xUdf7/n4IjICIEiCigCGFKZqBohZe+mrVpRavprv1WM92u7q615X67WlttW7Z+2/S7Xeyime63vmm6kZe2tL6akSkqpSJKICo3ESbkPg4Mvz/GGWZggBmYYc6ZeT8fjx4PsDNnPsyc8zrv+6dXY0NxM4IgCC7Ex90LEATB8xGhEQTB5YjQCILgckRoBEFwOSI0giC4HBEaQRBcjgiNIAguR4RGEASXI0IjCILLEaERBMHl... | <image>In \odot G, m \angle A G B = 30 and C G \perp G D. Find m \widehat C D F. | C | 853 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA1QAAAG0CAYAAAA1umb2AADMYUlEQVR4nOzdd3hU55n38e/0pl5BAgGid4S6ZkRxt3HBvac42fQ4fZNs8ibZbOpmk01dpxcb3LCNewFXNDPqEqL3JoR6GWl6O+8fEmOwJcAYkED357p8ZdceHT0zGo3O7zz3uW+VoigKQgghhBBCCCE+MPVoL0AIIYQQQgghLlYSqIQQQgghhBDiLEmgEkIIIYQQQoizJIFKCCGEEEIIIc6SBCohhBBCCCGEOEsSqIQQQgghhBDiLEmgEkII... | <image>Solve for x. | C | 854 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPQAAAEBCAYAAABPB4jgAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | C | 855 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXgAAADaCAYAAACsPln3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 856 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAa0AAAGqCAYAAAC4UxuPAACQ0ElEQVR4nOzddXhc15n48e8d5hnRjNiSBWaGJI7DDTTMnDLjtt1ud7dd+nW32912t8zdUpo4jA465DgcM8i20GLNjKRhnjv398eMRzIksWXJovN5njyJHWskS3fue885L0iKoigIgiAIwjSgmuwvQBAEQRBOlAhagiAIwrQhgpYgCIIwbYigJQiCIEwbImgJgiAI04YIWoIgCMK0IYKWIAiCMG2IoCUIgiBMGyJoCYIgCNOGCFqCIAjCtCGC... | <image>In \odot F, G K = 14 and m \widehat G H K = 142. Find J K. | A | 857 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAHdCAYAAADILtqhAACZd0lEQVR4nOz9d3yj9Znv/79udVvNVe729N77wMAwdAgltITQQyjJJptkeznf3+OcPd/v2XOym9092c1uQgmBUEINhN4ZyjC9d09zVbEt25IlWfW+f39Ilj0wDFM8tmRfz32wBBjLHxfprU+7LkXTNA0hhBBC5ATdaA9ACCGEEIMkmIUQQogcIsEshBBC5BAJZiGEECKHSDALIYQQOUSCWQghhMghEsxCCCFEDpFgFkIIIXKIBLMQQgiRQySY... | <image>Find x. | D | 858 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADVCAYAAACR1IbgAAArb0lEQVR4nO2dfVyUdbr/3ywQDyIIiIiAPD+IgwKKmmC4nbRsK9TWWq0sf0vtZtbJOrqdrbbaspfp9qhn62y2ZpbVmphtW5puR0tKBYEUlWdBBxERkMeBYJzfH8PczCBPysA998z3/Y/34Nwz18zcn/t7fa/vdV1fO51Op0MgEFg9v5DbAIFAMDwIsQsENoIQu0BgIwixCwQ2ghC7QGAjCLELBDaCELtAYCMIsQsENoIQu0BgIwixCwQ2ghC7... | <image>In \odot F, F H \cong F L and F K = 17. Find J H. | A | 859 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAFbCAYAAACqBOvYAAAjLUlEQVR4nO3dX2ij953v8W8OuZhAm2cmsBdNkOo5Gc7FIhGzoTeRz8ykB/ZgmYScO9u4TK/G9jrT03MxFTgD28LE4A4Lu00Hy7nZY2IsXaYJltletDNZK3AogclKnItlsjN5RNKLws48SaGBLXgvPM/Pv+eRLD169Px/3i8IWGNZfipX+uj3+/5+399TR0dHRwIAQE78l7gvAACAKBF8AIBcIfgAALlC8AEAcoXgAwDkCsEHAMgVgg8AkCsE... | <image>Find x so that the quadrilateral is a parallelogram. | A | 860 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnAAAAFgCAYAAAA7LUSlAAC0/UlEQVR4nOz9d3hcV3rn+3535VyFQhVQyAAJgCTAHCWKpMSk1MqZSt0OY8/MGZ/xeGbs8Zw799xz7nPu5Ojx2O623a1Wt1rqllo5kFRiFDMBEgRAEAzIuXJO+/5RhUiASSRAAOvzPHpaagLFXQAK+1fvu961JFmWZQRBEARBEIRZQzHTFyAIgiAIgiDcHBHgBEEQBEEQZhkR4ARBEARBEGYZEeAEQRAEQRBmGRHgBEEQBEEQZhkR4ARBEARB... | <image>Find x. | C | 861 | null | C |
[
{
"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 \widehat B A. | C | 862 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAncAAAIICAYAAAAMvsh2AACwxElEQVR4nOzddZic5fX/8fczbrs76+4SIUJCICTEgeDeUupuv3pLS73QUqGl7t5+a7TFKRICJMRIAkmIZ91dZnfcn98fO5lsQnQjuzN7XtfVi7LsTia7z87zmfvc59yKqqoqQgghhBAiKWgm+gkIIYQQQohzR8KdEEIIIUQSkXAnhBBCCJFEJNwJIYQQQiQRCXdCCCGEEElEwp0QQgghRBKRcCeEEEIIkUQk3AkhhBBCJBEJd0IIIYQQSUTC... | <image>Triangle J K L is circumscribed about \odot R. Find the perimeter of \triangle J K L. | B | 863 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPwAAADsCAYAAABQfcv8AAAhsUlEQVR4nO2de1RTV973v9Q4EEAsKMYKAkVEamMFBZ1WVOqIl05HEGt9StXqiDPzTLVTV5e2y7Zj+1ifdmSep++qtvVtdfA2dkZHrU5f79OBFtoqKKh4Q1TUUBsjASKQoIG8f8RzOAnhlus5Z/8+a7lWIidhk5zv/u7bd28/i8ViAUEQTPCQrwtAEIT3IMETBEOQ4AmCIUjwBMEQJHiCYAgSPEEwBAmeIBiCBE8QDEGCJwiGUPi6AISrtMJ0... | <image>Find \angle 4. | B | 864 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAF5CAYAAAB3K1eLAADQ30lEQVR4nOz9V3RcWZbmef5Na23QWgMEtdaadJLu4R4qM7JSVJZoUSO6qh66e2rWvM28zczLPHX3dE9Xd2ZlRUZkKBd0J+nUWisoQmthMK213XkwEASlUwB0iPNbK9byAAGY0Wh2777n7rM/2f/r+l6JOSRJou9ajEffhvGNprHbHPxf/sP/laPHPsFgMCAIgiAIgiAIy4187v95VUH8b//dv2f/wQPo9fof6zkKgiAIgiAIwoJSPv2P2YL4... | <image>\triangle M H J \cong \triangle P Q J. Find y. | C | 865 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApEAAAG/CAYAAAAAZYwQAAC/B0lEQVR4nOzdd3yddfn/8dd9n31yTvZOM7qSdBc6oFC6KCAbBEQUFVBxIyLD/RMHfgFFRURRFBRRNpS9uheFlu4m6czeOzn7nPv+/XFOT5LSkaRJm3E9Hw8c5TQ9Te5zf677M96Xouu6jhBCCCGEEH2gnu43IIQQQgghhh8pIoUQQgghRJ9JESmEEEIIIfpMikghhBBCCNFnUkQKIYQQQog+kyJSCCGEEEL0mRSRQgghhBCiz6SIFEIIIYQQ... | <image>Find H K. | A | 866 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAC+CAYAAAA4GcquAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the measure of \angle 6. | B | 867 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAocAAAEvCAYAAAA3s2v8AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 1 if m \angle 4 = m \angle 5. | C | 868 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAncAAAIICAYAAAAMvsh2AACwxElEQVR4nOzddZic5fX/8fczbrs76+4SIUJCICTEgeDeUupuv3pLS73QUqGl7t5+a7TFKRICJMRIAkmIZ91dZnfcn98fO5lsQnQjuzN7XtfVi7LsTia7z87zmfvc59yKqqoqQgghhBAiKWgm+gkIIYQQQohzR8KdEEIIIUQSkXAnhBBCCJFEJNwJIYQQQiQRCXdCCCGEEElEwp0QQgghRBKRcCeEEEIIkUQk3AkhhBBCJBEJd0IIIYQQSUTC... | <image>Triangle J K L is circumscribed about \odot R. Find x. | B | 869 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAADlCAYAAABqKfOGAAAQvklEQVR4nO3dX2xUV2LH8R8BCaggA8uqUZKdWSgkD1lPEiWi0sbuhlarRBgly0qJZDtEkD4sBm/S9I9lyUXqPrCWLF6iJoBZqQqoLLhKpGW3wlZWrUIQ3hcrCDpWHpLQROMNCFU0XLAEqUzcB3Mvd8bjsWfm3jn3nvP9vOyAZ9ijevqd8+fO3SUzMzMzAoAmu8/0AAC4ifgAMIL4ADCC+AAwgvgAMIL4ADCC+AAwgvgAMIL4ADCC+AAwwvr4... | <image>W X Y Z is a square. If W T = 3, find Z X. | C | 870 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAj8AAAGuCAYAAAB/fmdMAAB+4klEQVR4nO3dZXRc1/X38e+9wyNmsGSmmNmJHWZmdKhJiin+mzxNIaWU27RN2zRlCDXMzIntJE7MzCRmHL70vBhZlmRJlmThzP6sldUqkcZjSXPnd/fZZx/FsiwLIYQQQog4oQ71ExBCCCGEGEwSfoQQQggRVyT8CCGEECKuSPgRQgghRFyR8COEEEKIuCLhRwghhBBxRcKPEEIIIeKKhB8hhBBCxBUJP0IIIYSIKxJ+hBBCCBFXJPwIIYQQ... | <image>Find x. | B | 871 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAFSCAYAAACkOjhmAABywUlEQVR4nO3dd3ib53X///eDvQmA4F6iBjWoYcmW5CXLki1v2amTNLNNkybNaka/bdJ0pWnTlfFLm6RJk2a0Sdzs6W3ZlmQNL1mStTf3xiL2xvP7AxCHLNuyBkmA53VdulgppPuQBB58cN/3OUdRVVVFCCGEEEKUBM10X4AQQgghhLhwEt6EEEIIIUqIhDchhBBCiBIi4U0IIYQQooRIeBNCCCGEKCES3oQQQgghSoiENyGEEEKIEiLhTQgh... | <image>The segment is tangent to the circle. Find x. | B | 872 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcYAAAETCAYAAACskaa1AACWtklEQVR4nO19e3wVxdn/dzkQEkKAQAgC4SIhCFEqN1sJCBWhraBYFVpbQQV9FdEfWC8Vba2ttl5RwbdSsS1QwdYKSou3vkWxoEZbQbBKQEIwkQACIVxiyAUO+/vj5OyZ3Z1n95mze5KTsN/PZ+Fkdy7PXJ+Z7zwzo52oPaQDQCsNCYUOQNcTG0dLSEOAAAFaDoI+qXmiVVMLECBAgAABAiQTAsUYIECAAAECCAgUY4AAAQIECCAgUIwBAgQI... | <image>Find A E. | C | 873 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAc8AAAGwCAYAAADPDO4/AAA/cElEQVR4nO3df3DUd37n+TdYNq2xoNXsyQli9AOEdVksoTYc4x0LI1F7BTbcjOS62ongPIvI7sUYJ3HPuHzsYqosV2GuXLP2tDNjjDNbQdy4jJKqu2mSMg7e3bjBKBVbZ6aNNMotY0FbGomN2ekfCKfbdtvcH7La/f1++9e3f31/9PNRNRV/G3XrG5D61Z9f7/eSW7du3RIAAJC3pUbfAAAAVkN4AgCgE+EJAIBOhCcAADoRngAA6ER4AgCg... | <image>Find P W, if X Z = 18 and P Y = 3. | C | 874 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAC6CAYAAAD/AsucAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>In the figure, G K \cong G H and H K \cong K J. If m \angle H G K = 28, find m \angle H J K. | A | 875 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAekAAAHUCAYAAAAeKtDkAACH60lEQVR4nOzdd5ycVdn/8c/0vrO9903vlYSEBBIgEJpIURE79q6PXbEA1p+P5bGigoKCKAii1ISQBNJ7T7b33mZ3er1/f8xkdjckkGx2s7O71/v1isGwGWZ3Zu7vfc65znVUiqIoCCGEECLhqMf6CQghhBDi7CSkhRBCiAQlIS2EEEIkKAlpIYQQIkFJSAshhBAJSkJaCCGESFAS0kIIIUSCkpAWQgghEpSEtBBCCJGgJKSFEEKIBCUhLYQQ... | <image>Find m \widehat C F. | C | 876 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPgAAAD/CAYAAADc1BuzAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary. | B | 877 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASEAAAD/CAYAAAC+XmDwAAATsUlEQVR4nO3de1yVheHH8e8JUC5eUkIzUVEU0VDTUb82IWlqqWte4LeWbjM1azW15sz9WnbvVysv1abVlhemmb7KlGSrZbnS1CxRMcV5g9KU+SNEUBFEOJ7fHwgaHgQPh/Oc53k+739Kz4XnD/z4PF8e0OFyuVwCAINcZfQBALA3IgTAUEQIgKGIEABDESEAhiJCAAxFhAAYiggBMBQRAmAoIgTAUEQIgKGIEABDESEAhiJCAAxFhAAYiggB... | <image>Find x. | D | 878 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAE6CAYAAACxlu7cAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3... | <image>Find the measure of \angle 3 if m \angle D G F = 53 and m \angle A G C = 40. | C | 879 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATAAAAFUCAYAAACjnmC/AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. Round to the nearest tenth. | B | 880 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAApoAAAMjCAYAAAAFvrD2AAEAAElEQVR4nOzdd3xV9eH/8de5O3sRQhJCyATZ7r0XqCytdVu7vt1qtVrr3rNqtevX1lGtu1WZ4t5bUURmFiQhIWTPu+85vz8SboIDGQkk5P18POgfasJNc+857/MZ74/h8/ksRERERET6mcPhcOzu1yAiIiIieyDDNE2NaIqIiIhIv7Pt7hcgIiIiInsmh2EYu/s1iIiIiMgeSCOaIiIiIjIgFDRFREREZEAoaIqIiIjIgFDQFBEREZEBoaAp... | <image>If A B C D E \sim P Q R S T, find the scale factor of A B C D E to P Q R S T. | A | 881 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAwUAAAEwCAYAAADmTd1OAABdc0lEQVR4nO3ddVhcd6L/8fcoM4NrIEDck6ZptLF66r7tbjW1lXq7eu/qb+/q3b1rddvq1t3d49JY48SBQHAbnznn98cAoQkkhBgwn9fz7B/bQJgkcOa8z9cspmmaiIiIiIhI3LIe7RcgIiIiIiJHl6JARERERCTOKQpEREREROKcokBEREREJM4pCkRERERE4pyiQEREREQkzikKRERERETinKJARERERCTOKQpEREREROKcokBEREREJM4p... | <image>Find x. | B | 882 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcMAAAEACAYAAADP+h3EAAAihklEQVR4nO3deVxVdf7H8RcBCYq44pLkimtY4p46av3cJptMnXKsNM2lmdQap3QqK3NmbKzGLLdqtNyazEpLy0nLSS1X3FBxQxRUFBEFWWQRLvf3xxUUWUS43HvPPe/n4+HjAZdzL18F7/t8P5/v9xwPq9VqRURExMTucPYAREREnE1hKCIipqcwFBER01MYioiI6Xk5ewAiYhQ5ZJw/zI5ft7Nr/0EO7tnGtiOXoFpLunRrR9v2XenRpztt... | <image>Find the perimeter of the given triangle. \triangle A B C, if \triangle A B C \sim \triangle C B D, C D = 4, D B = 3, and C B = 5. | D | 883 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAi4AAADoCAYAAADIZG9fAABNsElEQVR4nO3de1zUZdr48c8AAwwMKHgAEUVR8BCaqHjEZN3UrDYUO1qrtVG7T6vtti39erLW3F17TGrbTbetXVvL3azWtLCj5RokHlHwgCdABAVBURAYmBmGYX5/jAwgCMPJOXC9X69ejV++35mbw8xcc9/XfV0Kk8lkQgghhBDCAbjYegBCCCGEENaSwEUIIYQQDkMCFyGEEEI4DAlchBBCCOEwJHARQgghhMOQwEUIIYQQDsPN1gMQQggh... | <image>Each pair of polygons is similar. Find A B. | B | 884 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO8AAAEnCAYAAABBvBTUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, Q R \parallel T S, Q T \parallel R S, and m \angle 1 = 131. Find the measure of \angle 6. | D | 885 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAwUAAAEwCAYAAADmTd1OAABdc0lEQVR4nO3ddVhcd6L/8fcoM4NrIEDck6ZptLF66r7tbjW1lXq7eu/qb+/q3b1rddvq1t3d49JY48SBQHAbnznn98cAoQkkhBgwn9fz7B/bQJgkcOa8z9cspmmaiIiIiIhI3LIe7RcgIiIiIiJHl6JARERERCTOKQpEREREROKcokBEREREJM4pCkRERERE4pyiQEREREQkzikKRERERETinKJARERERCTOKQpEREREROKcokBEREREJM4p... | <image>Find B D. | C | 886 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUUAAAC5CAYAAAC/Uy2LAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMugxmCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisG+wT2z+eyTibkxpw6VnUyzZM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x. Round the side measure to the nearest tenth. | D | 887 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAioAAAKoCAYAAABZSNRgAAChq0lEQVR4nOz9ZZRc57nue/+LqZlZzCxbFktmRtlxbCeOHVzhrCR777PHxnPWOXus9+yzVnhlJU4cB8zMTAJLFlMLGyQ1MxbTfD9UqSQ7sizolqq7r98Y/hC5u1NWV815zee5n/s2GYZhICIiIpKGzBf7BYiIiIh8FgUVERERSVsKKiIiIpK2FFREREQkbSmoiIiISNpSUBEREZG0paAiIiIiaUtBRURERNKWgoqIiIikLQUVERERSVsKKiIi... | <image>A C D F \sim V W Y Z. Find y. | A | 888 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOsAAADUCAYAAAB9JtStAAAkN0lEQVR4nO2de0AUZffHv+QqLHIRCFYFFbkJuF4o0FBUfl7DN0MxLbS8JJW+oWmGWfpLrSzTfL1RWmJeUnvTRFF/3ispSAUVVEDkFuiS4spVYEEX9/fHurOzXBfYmdmZfT5/zS6zs88u+51znvOccx4zlUqlAoFAMHqe4XoABAJBP4hYCQSeQMRKIPAEIlYCgScQsRIIPIGIlUDgCUSsBAJPIGIlEHgCESuBwBOIWAkEniDiegCmgExehepa... | <image>Find the exact circumference of the circle. | C | 889 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoIAAAIVCAYAAABFk57uAAC6fUlEQVR4nOzddZjc53nv//d3mGeWGcWMFpMtyxwzpeGkadK0obY5aU/b0/akv1NK2mADDbMtU2zHMYrBYmZpGWdhZnYYv78/ZrQkyaJdLd2v6/Kl9dJ8pZ2d+czzPPd9K6qqqgghhBBCiAlHM9IXIIQQQgghRoYEQSGEEEKICUqCoBBCCCHEBCVBUAghhBBigpIgKIQQQggxQUkQFEIIIYSYoCQICiGEEEJMUBIEhRBCCCEmKAmCQgghhBAT... | <image>Find m \angle 4. | D | 890 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAFTCAYAAACkvQ89AABVCklEQVR4nO3ddZic5dXH8e8zurOzrlnfuCuxDRGg0OIeHEKAlhZatK5v+7Z9aaFICwWKxQgEgjvFEoi7bFzW3Xdcnuf9YzYzuyGByG52Zud8rqtXjdJJMjvPb84597kVTdM0hBBCCBG1dL39AoQQQgjRuyQMCCGEEFFOwoAQQggR5SQMCCGEEFFOwoAQQggR5SQMCCGEEFFOwoAQQggR5SQMCCGEEFFOwoAQQggR5SQMCCGEEFFOwoAQQggR... | <image>Find x. | D | 891 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAEOCAYAAACAS73mAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 4 in the figure. | D | 892 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAADMCAYAAADZLtCfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | C | 893 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAAEPCAYAAAAwDEQSAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | B | 894 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAHTCAYAAACtL4ssAACRD0lEQVR4nOzdd3gU19n38e/M9l31XhCSKBK9GlzA2Ma497jbSZzE6XnSixOnPelxnN6eJG96bIztuMVxx2BwwY3eEUW9d22fnZn3j12tJBAgQKCVdH+uiwtYhLSg3Tn3nPM791FM0zQRQgghhDiMOtJPQAghhBCJSYoEIYQQQgxKigQhhBBCDEqKBCGEEEIMSooEIYQQQgxKigQhhBBCDEqKBCGEEEIMSooEIYQQQgxKigQhhBBCDEqKBCGE... | <image>Find M P. | B | 895 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXEAAADkCAYAAABuWxTgAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find x. Round to the nearest tenth. | A | 896 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAD/CAYAAAB8QuYxAAAdBklEQVR4nO3dX2xc5ZnH8R/U3ZotdGK0uXCoTf4gLqKZJCVykXD+cbFFSS7iXq3DpvKkFyUki3CXZSO5kZqVWLRZltao2xRumonKEt+sakAJYi+KcWIkOiJrsDfSRk0w4zWulFXsg2ltWNPsxeQMZyYznnfsM3Pec873IyGFZBJOG3t+877P8z7vbTdu3LghAACwpNuDfgAAAMKAwAQAwACBCQCAAQITAAADBCYAAAYITAAADBCYAAAYIDAB... | <image>If F K = 3 x - 1, K G = 4 y + 3, J K = 6 y - 2, and K H = 2 x + 3, find y so that the quadrilateral is a parallelogram. | B | 897 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjQAAAEPCAYAAABV3l7wAAA96ElEQVR4nO3de3zOdePH8ddlxjZDm1PCzGE0yoqkJYc0FUpKP8VGKm6kIla77xDauu8UdYtsbpXDbEqRU6RW7S51ZVIOyZ2RQ1sLYw6za8x2/f7gWjuft+v0fj4eHg/rOn3W3W0vn+/n+/kYzGazGRERERE7VsvaAxARERGpLAWNiIiI2D0FjYiIiNg9BY2IiIjYPQWNiIiI2D0FjYiIiNg9BY2IiIjYPQWNiIiI2D0FjYiIiNg9BY2IiIjY... | <image>Find x. | D | 898 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgEAAAGcCAYAAABA9nNhAACL10lEQVR4nOzddZhk5bnv/e8q13b3Hnc3xnD3QAiBhEASLFhkJ9vOOe8+Z1uyd7ITLCRAICQhhEDwwRnG3d172t3Kda33j6qu7p7p8fa+P9fFNcC0VHdX17rX89zP71Y0TdMQQgghxIijG+gHIIQQQoiBIUWAEEIIMUJJESCEEEKMUFIECCGEECOUFAFCCCHECCVFgBBCCDFCSREghBBCjFBSBAghhBAjlBQBQgghxAglRYAQQggxQkkRIIQQ... | <image>Find m \angle T Q R. | C | 899 | null | C |
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