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": "iVBORw0KGgoAAAANSUhEUgAAAWoAAADuCAYAAAAQjk2ZAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find z. | D | 6,374 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOIAAAEACAYAAACu66rqAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the rhombus. | C | 6,375 | null | C |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARYAAAC0CAYAAABR7gMeAAA8b0lEQVR4nO19eXxV1bX/9ySBJMxDMEICpMwg1qH4VGxFRZ4VlUoFXx2oU0XFtvTn0Grf02p9rfYpvmotClrBqrVPcChYfBZxqqA+cWZGMEACAiHMZCI5vz9u7r1777PXPmufc+/NTTjfz+fAzTl7WHs4+6xpr+0crqtyoUK843ieWqYTErlCIlO5NvBSH7x8XXtcwHWT9xyHSs/tNENdANwm4XaOfzGcMr3phIRig6i+FCGVG2ZsqbzEfZIG... | <image>Find x. | A | 6,376 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZ8AAAF4CAYAAACLo/SuAACLcElEQVR4nOydZ3gc5dWG79leJK1677Lk3m2MGwbbdEzvoQTIl0oJhBIglRBKKKEESEINEAiYZozBYNywDW64d6v3rtX2Pt+PlVdaF9xUV+99XblwZFkajWbmmfe8z3mOJMuyjEAgEAgEvYiirw9AIBAIBIMPIT4CgUAg6HWE+AgEAoGg1xHiIxAIBIJeR4iPQCAQCHodIT4CgUAg6HWE+AgEAoGg1xHiIxAIBIJeR4iPQCAQCHodIT4CgUAg... | <image>Find the length of \widehat A B. Round to the nearest hundredth. | B | 6,377 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAAEMCAYAAADDFYofAAAnuklEQVR4nO2de0CUZbrAfywQIAiCEiqggIioaGKgbtDicdO07UhhbSunTDdyq8W2tqPryc52OVvr6mldL5tbubHZWas1KazMtO3oBmdTSEzxhqgooOIIyEUHYkbOH+N8DHKRy1y+b+b5/fUNfjPzCvOb533e93nf162lpaUFQRA0xfcc3QBBEHqOiCsIGkTEFQQNIuIKggYRcQVBg4i4gqBBRFxB0CAiriBoEBFXEDSIiCsIGkTEFQQNIuIK... | <image>In \odot T, Z V = 1, and T W = 13. Find X Y. | B | 6,378 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAT4AAADrCAYAAADwvPoYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the triangle. | B | 6,379 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbEAAAG7CAYAAABNS6vXAACBh0lEQVR4nO3ddXgc19XH8e/MsrRilswgMEPQiZ3EYUY3TdMmbdKmzGneNG2TQtoU0qaYMiUNMzPHAcck22KzLGYtw8y8f6y0uzJLlmStdD7P49px7fVKGs1v7r3nnqsYhmEghBBCJCD1aL8BIYQQYqgkxIQQQiQsCTEhhBAJS0JMCCFEwpIQE0IIkbAkxIQQQiQsCTEhhBAJS0JMCCFEwpIQE0IIkbAkxIQQQiQsCTEhhBAJS0JMCCFEwpIQ... | <image>Find x. | D | 6,380 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAcEAAAG5CAYAAAD2yo9EAACifElEQVR4nOzdd5xcZfX48c+dXndmZ3tv6b33XugdG9j1axcVEQS7ooCCosgPewEVxULvIYWQkB7S2ybbe5u202fu/f0xs7ObECC72b7P+/VSXglk92Z25p77nOec80iKoigIgiAIwhikGuoLEARBEIShIoKgIAiCMGaJICgIgiCMWSIICoIgCGOWCIKCIAjCmCWCoCAIgjBmiSAoCIIgjFkiCAqCIAhjlgiCgiAIwpglgqAgCIIwZokgKAiC... | <image>In \odot P, J K = 10 and \widehat J K L = 134. Find m \widehat J L. | B | 6,381 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAqMAAAFLCAYAAADiYIUaAABSaklEQVR4nO3d+Vfc953n++e3KKCKAmoBqthBEtola5e8y/ISO3acrZPOJJ1kppc5Z+6ce+6Z7c+495x7zj137kx3z0x3p7uTSaY7ixMnTrzJsmzJsiRLltAu9qWAWoHaq773hyoQIEAgYYGo1+M3oDaQ+NaLz+fzfr8N0zRNRERERERWgWW1X4CIiIiIFC+FURERERFZNQqjIiIiIrJqFEZFREREZNUojIqIiIjIqlEYFREREZFVozAqIiIi... | <image>Find m \angle M P Q. | D | 6,382 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEVCAYAAAAb/KWvAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, line l is parallel to line m. Line n intersects both l and m. Which of the following lists includes all of the angles that are supplementary to \angle 1? | A | 6,383 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA2UAAAF8CAYAAABPMBMpAABm8ElEQVR4nO39V3Bb+drv+X0BZhBMAHMUkxKVc86ZWam735Om5pwZe6pcLo9rfOcb2ze+8JSr7PFxnfLxjM+bdrcSs3LOkQpUokhREnNOIAiQRPCFJOytd+/ultSSQFK/zyX/JPiIIrHWb63/8yyD1+v1IiIiIiIiIn5h9HcBIiIiIiIi3zOFMhERERERET9SKBMREREREfEjhTIRERERERE/UigTERERERHxI4UyERERERERP1IoExERERER... | <image>In \triangle D E F, m \angle E = 108, m \angle F = 26, and f = 20. Find d to the nearest whole number. | B | 6,384 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkcAAAFjCAYAAAA3lq9KAAA5QUlEQVR4nO3dX0ybd77v+2/XYmkRnaQPRCfShggHmqgXLDvQ5NBK4zSQtbVbJVEb5g6izIm5aVIy1aStcpAoUhkpjXamaofZmRAyFztmF4HvxmkFKD3aq4SGSi1KSmqLi5ySEvsk6IijgEukeOmwlHPhPA+P7cfG/5/H9vslVYP//wYC/vj7+/5+vxeePXv2TAAAACAiIv9g9gAAAACshHAEAACgQzgCAADQIRwBAADoEI4AAAB0CEcAAAA6... | <image>Find the value of x in the diagram. | A | 6,385 | null | A |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUwAAADgCAYAAABox19+AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Express the ratio of \cos A as a decimal to the nearest hundredth. | A | 6,386 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAADbCAYAAABKkKXoAAAe+klEQVR4nO3dfVyUdb7/8dcwoCKgo6KCiKKAIpqK4k3q6lm1Nmu7Mbs9m9uuuadOd3bStta2U3tqW2urzbbcrDRb2/11SjbLNH9ntZN3aAri7QgCisiNNwijCAMOw5w/RmBAGC6Ym2uumc/z8ZjHY4Rr9Fsw7/le38/3RmepKbMhhHAfG9jqtf220gXpQafs2iDPNkUIoU3KQ1BCRAjhEgkRIYRLJESEEC4JVrsBQvies2x+ej5PbSx3fpl+... | <image>If A E = m - 2, E C = m + 4, A D = 4, and A B = 20, find m. | B | 6,387 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATsAAADbCAYAAAAS7zbxAAAbJklEQVR4nO3dfVyUdb7/8RcBIqioIKGCAsqdCqZ4V2lZbWp3J82ys7mV+Vu1U0fb3K3j7rZtdc6p0+avrS23Pb+jraWr7W5t5m67q+Wjn5abpiYqKCKioBB5h4rITTDM+WMEZiaQYbhg5prr/fxriJnxi9J7ruv7ua7PJ8hut9sREQlwV/h6ASIiXUFhJyKWoLATEUtQ2ImIJSjsRMQSFHYiYgkKOxGxBIWdiFhCiK8XEIjsNWXkbv+c7Z9t... | <image>Find G I if G H = 9, G K = 6, and K J = 4. | D | 6,388 | null | D |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAEBCAYAAABFUrPeAAA6fElEQVR4nO3deVzUdf7A8RciJV6JB4ogoICGhiIKKpq5ruWS25qrlWlm16qlrbqSv9LIXFcrw+zQUtcOM4/SdN1Swsi0DSxRPFBIDrnFiyNRB8Nhfn+MX0PlGHBmvt+ZeT8fjx4PkpnhLc5839/P9X47GfRnDAghhBBm1kjtAIQQQtgnSTBCCCEsQhKMEEIIi5AEI4QQwiIkwQghhLAISTBCCCEsQhKMEEIIi5AEI4QQwiIkwQghhLAISTBC... | <image>If pentagons A B C D E and P Q R S T are similar, find S R. | B | 6,389 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbAAAAGrCAYAAAChX8JyAACEIUlEQVR4nOz9d5Rc15Xn+X5veG/TewdvCYAACIKgFZ1EUjQylKFseVVVq6ann5n11rzpnjXzpqe7urpsl5EokbIUJdGJpOgNAMIR3gOZifQuXIZ3N+77IwKBBAgQSCCBdPuzFgSSykxcZEbc3z3n7LOPommahhBCCDHL6Kb7AoQQQoirIQEmhBBiVpIAE0IIMStJgAkhhJiVJMCEEELMShJgQgghZiUJMCGEELOSBJgQQohZSQJMCCHErCQB... | <image>Find the length of \widehat J K. Round to the nearest hundredth. | B | 6,390 | null | B |
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{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAEICAYAAAAqbv2WAAAyrUlEQVR4nO3de0BT590H8C8lFIIYBMSIhIuAiBgVFNAKFtfXW29qtep0ra0rdavDbq7VOVtnXWdfq2udl7ZrS6vVvVrrvGC7VqttpQWroqASEREQMIgYAUEgMBLz/hFPSELIhZxcz+/zV7AnyVNIvue5nd/xUKlUKhBCCIc94OgGEEKIo1EQEkI4j4KQEMJ5FISEEM6jICSEcB4FISGE8ygICSGcR0FICOE8CkJCCOdREBJCOI+CkBDCeRSE... | <image>In \odot O, E C and A B are diameters, and \angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A. Find m \widehat A C. | B | 6,391 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAABBEAAAGLCAYAAACRPgrpAADn0klEQVR4nOz9dXdcd5rG/X6LmcUMlmV2zByyA01JOj3M3dPzHHgNz7s466xzzjPcA90z09Mc6MRO4pgpZhJLFkvFTHufP3ZJlmQ7lhXLovuzVpYhtmpLcklVV92/+9KpqqoihBBCCCGEEEII8RT6pb4AIYQQQgghhBBCrAwSIgghhBBCCCGEEGJeJEQQQgghhBBCCCHEvEiIIIQQQgghhBBCiHmREEEIIYQQQgghhBDzIiGCEEIIIYQQQggh... | <image>Find m \angle 6. | C | 6,392 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 14, b = 48, and c = 50, find \cos A. | D | 6,393 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARMAAAChCAYAAADk3FtyAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find h in the triangle. | D | 6,394 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAm0AAAFmCAYAAAA/JK3gAACDUUlEQVR4nOzdd3hc53Xv+++e3jHAoBeSAAvA3psoUiQlNvVuS7Jly7JluTuxndx7cnxyzs05yUmPkzhusmzJsiSrd1IkJZKi2HsHO3qfwQDT2973jwEhSmIBQYBEWZ/nceyQ4MwGZjCzZr3v+1uKpmkaQgghhBBiQNNd7wsQQgghhBCXJ0WbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWb... | <image>Find x. | C | 6,395 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUsAAAEbCAYAAABTOaZpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in the figure. | D | 6,396 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAEOCAYAAACAS73mAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta... | <image>Find the measure of \angle 3 in the figure. | D | 6,397 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAk0AAAGoCAYAAABbm9H0AADB00lEQVR4nOz9d3hc153m+3535YiqQiEHEpk5R4nKOViyJFuSJUu2JId2O/T0c+7cc+bcOeOOM90zPT1num13u+22JcuSLcuyZSvnRCowR5BEzrlQOYe97x+7qgBQIgmSAAiA6/M8emyRIgiChaq31vqtd0mKoigIgiAIgiAIZ6S52J+AIAiCIAjCQiBCkyAIgiAIwjSI0CQIgiAIgjANIjQJgiAIgiBMgwhNgiAIgiAI0yBCkyAIgiAIwjSI... | <image>Find J Q if Q is the incenter of \triangle J L N. Rounded to the nearest hundredth. | B | 6,398 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEQCAYAAABRDdSSAAA0iklEQVR4nO3de1iUdf7/8Sc5hIOIghIqKIhIYKOJibqrprWa2kFK13Z1SzNpv7uK7VZLtdtJt21/pp0124rNtFa/ZR4r81RfTdxSzCOeAA0VU0RAERiIwfn9Mc4wMwwwwAxzz9zvx3V5XcPB4SPe85rP/f6c/IxGoxEhhBA+7TpPN0AIIYT7SdgLIYQKSNgLIYQKSNgLIYQKSNgLIYQKSNgLIYQKSNgLIYQKSNgLIYQKSNgLIYQKSNgLIYQK... | <image>Find x. Round to the nearest tenth, if necessary. | A | 6,399 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAADvCAYAAAAD3jo2AAAnMElEQVR4nO3deVwTd/oH8A81FBIicggRQUBAVMQDBbxwoV2P6qoItnZ1W6qV7lG1XbfFdbVd6ra6rW7X3UK1B63Wtvjr4dm+3GptCxXUCioqKnIoaFBjJEAMJJHA/P6ICUkIRyD3PO+/wEySwUw+88z3GheGYRgQQogJHrL1DhBCHA8FByHEZBQchBCTUXAQQkxGwUEIMRkFByHEZBQchBCTUXAQQkxGwUEIMRkFByHEZBQchBCTUXAQQkxG... | <image>Find the measure of m \angle 2. Assume that segments that appear tangent are tangent. | B | 6,400 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAecAAAGrCAYAAAD6l19DAACklklEQVR4nOzdd3Rd53Xn/e/tvaBedIAgQBLsvZOiRIqierN6r44dp2cmk5m84zgzk8kksRPHJbYsqzerd4mq7L13ACSI3svF7f28fwBEoVhAAARAcn/W8tKiTIGXF7jnd87z7L0flaIoCkIIIYQYM9Sj/QKEEEII0Z+EsxBCCDHGSDgLIYQQY4yEsxBCCDHGSDgLIYQQY4yEsxBCCDHGSDgLIYQQY4yEsxBCCDHGSDgLIYQQY4yEsxBCCDHG... | <image>Find x. | B | 6,401 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMEAAACkCAYAAAAue0p1AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the regular polygon figure. Round to the nearest tenth. | C | 6,402 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAADvCAYAAACaJuODAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Round to the nearest tenth. | B | 6,403 | 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 5. | B | 6,404 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAArMAAAGcCAYAAADK9ShlAACY3klEQVR4nOz9V5DcZbqoez7pvc8sq/JW3nsJJwloTEOb1bSh3eq1945zzsSOmbuJuZiYm7k4c27OzcSZs/deqw20NzQNNEIOgSSQ96a89+m9z5yLLElVQgIBZVSl9xexeiEolf6SSlWvvvy+51MUi8UiQgghhBBCLEHKxX4AIYQQQgghvioZZoUQQgghxJIlw6wQQgghhFiyZJgVQgghhBBLlgyzQgghhBBiyZJhVgghhBBCLFkyzAohhBBC... | <image>Find m \angle A B C. | A | 6,405 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPIAAAEUCAYAAAARAmuPAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle A to the nearest tenth. | B | 6,406 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVUAAADqCAYAAAAS59Y6AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | C | 6,407 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjY... | <image>a = 14, b = 48, and c = 50, find \sin A. | B | 6,408 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAH8CAYAAACKMji/AADvA0lEQVR4nOzdd3icZ5X38e8zvY806t2SZbnXON0pduwUCISEdHqHXWAX2A0su5DCLr28wLK00EsKKSSEEJfYcZzuxJZ7kdV7G03vM8/7x4xGcuIi95F0Pte11144tjy2Rnp+Pve5z1FUVVURQgghhBA5RXOuX4AQQgghhHgrCWlCCCGEEDlIQpoQQgghRA6SkCaEEEIIkYMkpAkhhBBC5CAJaUIIIYQQOUhCmhBCCCFEDpKQJoQQQgiRgySk... | <image>M C = 7, R M = 4, and A T = 16. Find M S. | B | 6,409 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAIYCAYAAACFa5HpAAC2PElEQVR4nOz9d3CcWb7md37f9JlAZsI7wtJ778ny3pvunuvGSVdmtDM7ISlWO7EzK+neGZkYxUobq5A2dqUx2mvmuu6qrmJ5X8Uqeu8AkiDhfQJIn0j77h8JougtDIF8PhEVXcUGwAMUK/PJk7/zHMM0TRMRERERkQJmmesFiIiIiIjMNYViERERESl4CsUiIiIiUvAUikVERESk4CkUi4iIiEjBUygWERERkYKnUCwiIiIiBU+hWEREREQK... | <image>Find m \angle 1. | A | 6,410 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAaoAAAE4CAYAAAAKIbe+AAAa6ElEQVR4nO3de1yUdd7/8TcBeYhQzBNJanku9FbzlLDhupZlZbe6m+ltpWlta+rebptbv457t7Wm21qJmi1lZ1PTUjvZVmoL5mm1DVQ8m+IBUUlEEGGY3x80pOMAA8zhe831ev7lyDUznwcPL198r8MQ5nQ6nQIAwFAXBXsAAAAqQ6gAAEYjVAAAoxEqAIDRCBUAwGiECgBgNEIFADAaoQIAGI1QAQCMRqgAAEYjVAAAoxEqAIDRCBUAwGiE... | <image>Find the measure of the altitude drawn to the hypotenuse. | B | 6,411 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdMAAAG3CAYAAADvm7/hAABxkElEQVR4nO39d3yc533ne3/u6Q0YzAwwM+gg2HsTSZHq1bLcm2zLshM7cZw42U022exuzjmv57yes+c5r+c5u5tsvHsSW3JJ7LjKsSwXdauLVey9kwAGUwAMpvf7vp8/ZjAEJZEiAZBov3dCCwQJ8OZw5v7O9buu63cpuq7rCCGEEGLCDNN9AUIIIcRsJ2EqhBBCTJKEqRBCCDFJEqZCCCHEJEmYCiGEEJMkYSqEEEJMkoSpEEIIMUkSpkII... | <image>In \odot R, find T V. Round to the nearest hundredth. | D | 6,412 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAGCCAYAAAD5b1poAABDgklEQVR4nO3dX0xb97o3+G/PMEfODNkrjoZ3FCIbCDnRCNmBZg+ttE0gOSM1ClEL+2ogooLMKzUkNLu0VQ5SglQqESR2lJa9e0hg3wRUBL6rk7wBpSO9+bNxR2nUlNRWLjg7CbWV5IIZwElHoBk0zIWzFmvZy/ay8bLXWv5+pK0dY2NWIeFZz+/3PM/vrY2NjQ0QERGR6f1Tvi+AiIiIsoNBnYiIyCIY1ImIiCyCQZ2IiMgiGNSJiIgsgkGd... | <image>Find the value of x. | C | 6,413 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPoAAAFECAYAAAAOWyOMAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | B | 6,414 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQsAAACVCAYAAABPTt/VAAAX90lEQVR4nO3de1xUdf7H8ddwFRAviGgCRqKmWNqqbYVurqTlBUnzkm1aaaWlv8rUvGyWqaVopGlXXNdubu16Q9HMUilLqVYwXYVQvJA4JjqOCOIwg+P8/hgdLnGZGeYwM/B5Ph48HjGemTnBmTff7+d8zveoSorzTAhRCyoVqBR+j2tylDqdh7N3QAjhHrwkL0RtmUwoP7QQTidhIRzCJNOEek+SQghhFQkLIYRVJCyEEFaRsBBCWEXCQghh... | <image>Find x. | C | 6,415 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAqMAAAJLCAYAAADTiJ+HAAC+t0lEQVR4nOz9V3BjeZbneX4vBLXWWmsJ4IKkq9AyIyMiM6squ3RWdU13b++a7ZqNjY2t2do87O487cva2Kyw7qntLtElMysrMyJFaOkRLkhcCGqttZYgCXX3AXS6CKc7nS5Ap5/PS1h6gsABAQK/e+//f46ih4J6IBBEBxRFQVEMB/8FFAUFHV0HXdeBg//qOnr4f9z23xu3QVFQFAWDYkAxGDAYFBRuEQoSCIYIQfg2B7cPPyZw8Hg3Hiuk... | <image>Find the side length in isosceles triangle D E F. | D | 6,416 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAERCAYAAABCcWF4AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Quadrilateral W X Y Z is a rectangle. Find the measure of \angle 6 if m \angle 1 = 30. | C | 6,417 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAERCAYAAABCcWF4AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Quadrilateral W X Y Z is a rectangle. Find the measure of \angle 3 if m \angle 1 = 30. | C | 6,418 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAR0AAAEZCAYAAACq+/FtAAAyw0lEQVR4nO2df1xT973/XxQQwi8FjBEJP+S3GiwgoFUs9odau7ZYe11bd2vnLe1dW+3m9rXzYXvn3W710ela76pbu9XNtd20nStVb1ur7e2VVawCAtWoEBARgoCR8EMgRBLz/eOQQwIJ+UFyzknyfj4ePh4n8ZzwIZy88v68f/oZDAYDCIIgOOIOvhdAEIRvQaJDEASnkOgQBMEpJDoEQXAKiQ5BEJxCokMQBKeQ6BAEwSkkOgRBcAqJDkEQ... | <image>In \odot P, m \angle M P L = 65 and N P \perp P L. Find m \widehat N M. | A | 6,419 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAG+CAYAAAA6HsZ9AADew0lEQVR4nOzddZgc15Xw4V9Vc/cw80galEbMshjMzGzHdhLHcfjLJtnNbnaDm2zAjh2wY46ZUZYssmQxMwwz8zRDVX1/1Ghkx4KRNKz7Po8TW1PdfWvUXX3q3nPPkTRN0xAEQRAEQegn8mAPQBAEQRCEkU0EG4IgCIIg9CsRbAiCIAiC0K9EsCEIgiAIQr8SwYYgCIIgCP1KBBuCIAiCIPQrEWwIgiAIgtCvRLAhCIIgCEK/EsGGIAiCIAj9... | <image>Use parallelogram A B C D to find m \angle A C D. | B | 6,420 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAnoAAAGwCAYAAAA+MchDAACuJklEQVR4nOzdd3xc9ZX38c/0Ls1Isrolq7lJtrHBgA24AQkhCakE0kOyySbZTdn03utm05703kmBJJBCx5ZNd++WreqiZpWZ0fRy733+uOORZCxXWZLH5/169mFhzUVgaebM+f3O+Ro0TdMQQgghhBA5xzjdX4AQQgghhLg4pNATQgghhMhRUugJIYQQQuQoKfSEEEIIIXKUFHpCCCGEEDlKCj0hhBBCiBwlhZ4QQgghRI6SQk8IIYQQIkdJ... | <image>Find m \angle H. | B | 6,421 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAc8AAADJCAYAAABFVrmCAAAaaElEQVR4nO3de1yW9f3H8feNgiBgN6KmoWaKiKQshxqmRokrK5duyy1dllmp2dYyt9bx15atg+Xa2praDmlus/Os1qbzUDmd5zxkSAKGByoNEUFETt6/P/RGNLi5b+7TdXg9Hw8eleDNBXH78vu9r+tzOVwul0sAAMBrrcN9AIAV1FUfCvnnbBXVKeSfE8ApDlaeMKtwBMuMiCwQeMQTYVdXXRzuQ4CXWkV1CPchAIZAPBEyRNKaCCrsiHgi... | <image>Find x. | D | 6,422 | null | D |
[
{
"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 J H. | C | 6,423 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAD0CAYAAABabxsKAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMtgxKCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsjbpNp26UPvUMu/AinePU30mY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find y. | C | 6,424 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAG+CAYAAAA6HsZ9AADew0lEQVR4nOzddZgc15Xw4V9Vc/cw80galEbMshjMzGzHdhLHcfjLJtnNbnaDm2zAjh2wY46ZUZYssmQxMwwz8zRDVX1/1Ghkx4KRNKz7Po8TW1PdfWvUXX3q3nPPkTRN0xAEQRAEQegn8mAPQBAEQRCEkU0EG4IgCIIg9CsRbAiCIAiC0K9EsCEIgiAIQr8SwYYgCIIgCP1KBBuCIAiCIPQrEWwIgiAIgtCvRLAhCIIgCEK/EsGGIAiCIAj9... | <image>Use parallelogram A B C D to find m \angle D A B. | D | 6,425 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOoAAAEUCAYAAAAle6qTAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. Round to the nearest hundredth. | C | 6,426 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAf0AAAGCCAYAAADquBqcAABhE0lEQVR4nO3dd3xV9fkH8M855+6RvRfZCxQExL2tCzeoaIdaRx3V2v5aa7VqHdVaq6114bbaqgiKW9wLN2FD9oDsPe5e5/z+uMnNTQiQhCTk5n7er1dfIgnx2ns8n3u+z/N8v4KiKAqIiIhoxhP39wsgIiKiqcHQJyIiChMMfSIiojDB0CciIgoTDH0iIqIwwdAnIiIKEwx9IiKiMMHQJyIiChMMfSIiojDB0CciIgoTDH0iIqIwwdAnIiIK... | <image>If S T = 8, T R = 4, and P T = 6, find Q R. | C | 6,427 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAAD4CAYAAACE9dGgAAApG0lEQVR4nO3dfVzO9/4H8FeELlnsMppdWbGYm5xqU9bqjJ1FsrNFbsu9ZQijpVA5zZS5S5xIFArVbpTYSHS2dX45qWyK5q5QaDRcJvHVlOv3R65vXUld1XVd35vr/Xw8zuNxum4/O6e9+n7f3/fn/TVQKBQKEEKIQLXhegGEENIaFGKEEEGjECOECBqFGCFE0EQbYvH79mG+tzcYhuF6KYQQLRJliBUWFiI4aAUsLCwgkUi4Xg4hRIsMxNZi... | <image>Find x. | D | 6,428 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVYAAADiCAYAAAAVg+9UAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAwsDMIMKgwGCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisnWxiR67+80pXfsxwcu+ad42Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the rhombus. | B | 6,429 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAFHCAYAAAAWUAGrAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the measure of \angle C F D on \odot F with diameter A C. | D | 6,430 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA38AAAFsCAYAAAB8agCTAACScklEQVR4nOz9d3DUZ77v+747q6VOklqtjAKggCQkkYMNBhsHbAO2x2HimjUza2bW3rv2uaHq1q17q26dW/e/c6pOnbPv3XvNzPKsyeMZjxPBxtjGgE1OAiEJSUgooNRSq1udc//uHwJsbEQGpe+rinJA3fp1q7v1+/ye5/k8KkVRFIQQQgghhBBCzGnq6T4AIYQQQgghhBAPn4Q/IYQQQgghhJgHJPwJIYQQQgghxDwg4U8IIYQQQggh5gEJ... | <image>Find m \angle A B C. | B | 6,431 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAEICAYAAAAqbv2WAAAyrUlEQVR4nO3de0BT590H8C8lFIIYBMSIhIuAiBgVFNAKFtfXW29qtep0ra0rdavDbq7VOVtnXWdfq2udl7ZrS6vVvVrrvGC7VqttpQWroqASEREQMIgYAUEgMBLz/hFPSELIhZxcz+/zV7AnyVNIvue5nd/xUKlUKhBCCIc94OgGEEKIo1EQEkI4j4KQEMJ5FISEEM6jICSEcB4FISGE8ygICSGcR0FICOE8CkJCCOdREBJCOI+CkBDCeRSE... | <image>In \odot O, E C and A B are diameters, and \angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A. Find m \widehat A D. | B | 6,432 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAD5CAYAAADvLNVfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle 2 if A B \perp B C. | B | 6,433 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVoAAACfCAYAAAC4AxHFAAAcXUlEQVR4nO3deViU5f7H8TcOpCAiiIIIIiqoIJqAoAIqlVjaYq6VuZ7UyjLL0uNPK83Kk9JyOmZW4lq5ZKammbmlCWqiuKHI5oIgIjsiizDM7w/SZBVynlnw+7ourwuYZ4YbYT5zz/18v/djotFoNAghhFBMA30PQAgh6jsJWiGEUJgErRBCKEyCVgghFCZBK4QQCpOgFUIIhUnQCiGEwiRohRBCYRK0QgihMAlaIYRQmAStEEIoTIJWCCEU... | <image>Find m \angle R. | A | 6,434 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPgAAADVCAYAAAB64z3jAAAg60lEQVR4nO2dfXyT5b3/PzSEpE1bSvpIWyAUK6WgAq0wEUGedgBZEW1/B17ClG4TEIceVwX9DZhyzhzIGHYTAScosINndPKDISgPIgj9oRToJpSOSgm0KX1IY5/SJISm54+QO/fdJm3SJrkf8n3/Q9Ik5WqS931d1/f6Xt+rz11zVTsIgpAkIXw3gCAI/0GCE4SEIcEJQsKQ4AQhYUhwgpAwJDhBSBgSnCAkDAlOEBKGBCcICUOCE4SEIcEJ... | <image>Find x. Assume that segments that appear to be tangent are tangent. | C | 6,435 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVsAAAERCAYAAADVDATnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMdgyCCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisrtzABEu26Fk/925YfbBx32FM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>In the figure, K L is tangent to \odot M at K. Find the value of x. | B | 6,436 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAADOCAYAAAB8ZsS/AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMagxMCUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgshq8p1i5tGxpuH1q24uOJ7/cw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find the measure of \angle Z to the nearest tenth. | B | 6,437 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAFjCAYAAADfIGeQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>Find the measure of m \widehat Y X Z. | B | 6,438 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAasAAADECAYAAAAhxA5WAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Find y. | D | 6,439 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAADYCAYAAACXzEp3AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 6,440 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAADKCAYAAADn94apAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz... | <image>Find x. | C | 6,441 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAIXCAYAAAAMru/YAABiH0lEQVR4nO3db2xUd7rg+afvsLuOJuEAO0gL6aqYkIk0qCq4E9G5otw23NnpyLYAt+a+sC1HmHkBJr657XSWsdZYaloylnyZdJNOE2xW05iN1/aLu2oThK2kdxrsuNhOrE6TVClXYkJwqjqwI6SYQ7IbXjDDvihOcc6pU1XnVJ36d873IyGZcv05gHE9fp7f8zzfe/DgwQMBAACAb/xVpS8AAAAA5UUACAAA4DMEgAAAAD5DAAgAAOAzBIAA... | <image>Find m \angle W. | C | 6,442 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAEuCAYAAADoTFtJAAAy70lEQVR4nO3deVyTZ7o38B8gEgwoZRPZjCCKVFtUWltKtW491Vp7bHGqpzIuXWx1Xm0tXad2kZmu1Gn5HLX6dsStY6e4TB2rnbqN1lLbIjK1RpTFCAQBQ8qWhAgJ54/HPCQQSAhJniXX96+wJTeQ/HIv130/Xu2t1R0ghBDSI2+uG0AIIXxHQUkIITZQUBJCiA0UlIQQYgMFJSGE2EBBSQghNlBQEkKIDRSUhBBiAwUlIYTYQEFJCCE2UFAS... | <image>m \angle 2 = 2 x, m \angle 3 = x. Find m \angle 3. | A | 6,443 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASYAAAEPCAYAAADvZ2kkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the figure. Round to the nearest tenth if necessary. | C | 6,444 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOEAAADkCAYAAABufkPJAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth. | A | 6,445 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAERCAYAAABCcWF4AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3ND... | <image>Quadrilateral W X Y Z is a rectangle. Find the measure of \angle 2 if m \angle 1 = 30. | B | 6,446 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOIAAACsCAYAAABmQnDLAAAcxUlEQVR4nO2df1xV9f3Hn+xCgCEmSGSgoiCK4tISNXHiNn/3w9SvNW2VLrey5lpumFP7tVVT+DZrZrnNZrZlK6fOtMz0u7SBM7D8haLITwX1SkAgcUEunO8ft3O9V+8vuOeecy58no+Hf4gHzkePr/s5n/fr8359AiRJkhAIBJryHa0HIBAIhBAFAl0ghCgQ6AAhRIFABwghCgQ6QAhRINABQogCgQ4QQhQIdIAQokCgA4QQBQIdIIQoEOgA... | <image>In rhombus A B C D, m \angle D A B = 2, m \angle A D C and C B = 6. Find m \angle A C D. | B | 6,447 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARUAAAEQCAYAAACeI+BRAAAxAElEQVR4nO2dfVyUddb/3y4QoDwIioiMgoKIig+gaAWpd6s9p4aZq1tWm7n3bdrmr3TbrDW3tdtyW0vp2dbS1rbcLK0tTe+SUlNAREVFBAEFERGQBxmIwfn9Mc4wgzwMejHDNXPer5evLuC6mNNcF58533PO95wuer1ejyAIgkL8yt4GCILgWIioCIKgKCIqgiAoioiKIAiKIqIiCIKiiKgIgqAoIiqCICiKiIogCIoioiIIgqKIqAiCoCgi... | <image>In \odot F, m \angle D F A = 50 and C F \perp F B. Find m \widehat A C E. | D | 6,448 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOcAAACsCAYAAACAa7uPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCABFFRjMEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmeW62O6vsNjXJyvYZfi6dmkuxlSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0t... | <image>Find the perimeter of the triangle. Round to the nearest hundredth. | D | 6,449 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAACvCAYAAAC/zhhAAAAW8ElEQVR4nO3da0CUZd7H8a8CEoqoIKGLR6TyAKImWkqrlaZWq6a1pR2MQnsqysjVWt0yO9iWlZWoW2FW2nk9ZLmeWqsNysCSYlRSBE3IJgQVgQEZnOeFgYOCAQFzz8zv84qZuRkuYOY3//s63c1sNpsNERGDae7oBoiIVEfhJCKGpHASEUNSOImIISmcRMSQFE4iYkgKJxExJIWTiBiSwklEDEnhJCKGpHASEUNSOImIISmcRMSQFE4iYkgK... | <image>find \sin S. | C | 6,450 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfAAAAHTCAYAAADYlEp+AADXlklEQVR4nOzddXic15n4/e8wz2ikEY5YJpmZKcycNEnDabhpUtpu29399d3tdrdLbdMGmzRpmJkTx07MzLZkW7LFNJKGGZ73j5EFjkFSbGskn891pUltwUgz89zPOecGmSRJEoIgCIIgDCvyoX4AgiAIgiAMnAjggiAIgjAMiQAuCIIgCMOQCOCCIAiCMAyJAC4IgiAIw5AI4IIgCIIwDIkALgiCIAjDkAjggiAIgjAMiQAuCIIgCMOQCOCC... | <image>Find m \angle S. | D | 6,451 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAF4CAYAAACGi/kYAAB3h0lEQVR4nO39Z3Bk15nue/53eo+ENwlTQBUK5b13ZNEb0cqr5b2oNqfvOed+mYi5MRPzYWLi3D7dLYmUbbUc1ZIokRKN6ESyvPceKPhMuPTe7z0fslh05V0CqPcXoVAguRNYiUrs/eS713qXommahhBCCCFEmejKPQAhhBBC3N4kjAghhBCirCSMCCGEEKKsJIwIIYQQoqwkjAghhBCirCSMCCGEEKKsJIwIIYQQoqwkjAghhBCirCSMCCGE... | <image>m \angle 4 = 42. Find m \angle 7. | D | 6,452 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEXCAYAAABiTcW4AABIyElEQVR4nO3dd1zVZf/H8RcBIogDEBEBQaYouMGBq0LNNHGklQ3tTrsbllrp7U8tqzu7LSsru5t2u8pKy9Gy1EpTHOAWB0tBQUQEZMgBAc/vj+M5HPZhnvV5Ph49OngGF+t9ru/1uYaFUqlUIoQQwqjcoe8GCCGEqDsJbyGEMEIS3kIIYYQkvIUQwghJeAshhBGS8BZCCCMk4S2EEEZIwlsIIYyQhLcQQhghCW8hhDBCEt5CCGGEJLyFEMII... | <image>Find m \angle R C M. | B | 6,453 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWgAAACcCAYAAABSkTFuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | B | 6,454 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAV4AAADaCAYAAADufSpgAAApZklEQVR4nO3deVxTZ9YH8B+KShC3UIsKCq2C1lJRFKwGB2pFCi7gilAXnOKn7sVRxBHntU7FV1BHWi3qiANuWKkLuEAB60AlUkFRKlVL1AISLa8SBZGAsrx/pAkJ+5Lk3nDP968MSW4eO3h8cu55ztGrqampASGEEK3pxPQCCCGEayjwEkKIllHgJYQQLaPASwghWkaBlxBCtIwCLyGEaBkFXkII0TIKvIQQomUUeAkhRMso8BJCiJbpTODd... | <image>Find z. | C | 6,455 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAH3CAYAAAC8SfapAAC7i0lEQVR4nOzdZ2Bc5Zn3/++ZXqUZtVGXZcu9dwyudAiQ0BPSgPQekmxvz/N/NtuS7KbspickJCGEDguEbmyMbdx7L+rSjEaakabX838xo5FkDNgqVrs+LzaRIx0fa2fOb+5yXbeiqqqKEEIIISYszWjfgBBCCCFGloS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ... | <image>A D and C G are diameters of \odot B. Find m \widehat A G. | D | 6,456 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAvAAAAICCAYAAACp/PloAAD36ElEQVR4nOzddXjUV9rG8e9vXOIeJEFDglOjTluoO9S7u+1WtlvvW8ddq9TbrWxl6+4GLaVKKVAKxNCEhLiN22/ePyZEIEASZCLP57p6dbeFcKCZmXvOPOc+SjAYDCKEEEIIIYToFDThXoAQQgghhBCi9STACyGEEEII0YlIgBdCCCGEEKITkQAvhBBCCCFEJyIBXgghhBBCiE5EArwQQgghhBCdiAR4IYQQQgghOhEJ8EIIIYQQQnQiEuCF... | <image>Find x. | B | 6,457 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAqEAAAJNCAYAAAABJKynAADH5klEQVR4nOzdd3ic5ZX38e90zWhm1Lvkbssd9wI2zRgMxl0GEiABUgg9pG82yZtsNtlsKr1kk5AQIAFb7gbbNFfcC66Su1VHXZqRps8z7x8zHsmyZFzUdT7XxW5IbPmRLGmOzn3/zlEFg8EgQgghhBBCdCB1Zz+AEEIIIYTofaQIFUIIIYQQHU6KUCGEEEII0eGkCBVCCCGEEB1OilAhhBBCCNHhpAgVQgghhBAdTopQIYQQQgjR4aQIFUII... | <image>Find y. | C | 6,458 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAD0CAYAAAD9nm+0AAA050lEQVR4nO3deViU9f7/8Sebyo6AuICKIIqIC4obmeV2OppHc2nX0hYrPV/bFy0rT6mdMrN+V2pa6jHbXE9qWsctzcgUxEQRBRQVXBARZBdm5vfHCI4wMMMyM/fMvB/X1XVhDPhBuF/c7/uzvB3KSy5oEEIIUSNHSw9ACCGUToJSCCEMkKAUQggDnC09ACHsiqaYS38dYMe+OOITjhIbm0YejniHRxEdEUavPv25e2gvOnrLpakkDjKZI4Q5... | <image>Find P Q. | C | 6,459 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASMAAACsCAYAAAAwscqUAAAZCElEQVR4nO3dfVxT970H8I81lAdjFChGBAUDIrJoUUHcwAu3VVt9teLDtLNdXbtS721L1+vtaPuqXbluc9eWvV5u1XXdtGvV1t3WKz6st9bqq8MK1gpW1CgYeVIDJYYECMQkEs39I+SQhISnnCTnnHzffyXmNPwoJ5/8nn+jrFarFYQQEmD3BLoAhBACUBgRQjiCwogQwgkURoQQTqAwIoRwAoURIYQTKIwIIZxAYUQI4QQKI0IIJ1AYEUI4... | <image>Find the measure of m \angle 1. Assume that segments that appear tangent are tangent. | D | 6,460 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALEAAAC0CAYAAADb5M12AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find the area of the regular polygon figure. Round to the nearest tenth. | C | 6,461 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVwAAAEdCAYAAABAEt/lAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGwMvAzWCZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisayszrE7URYr5bTi99smnzY2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5... | <image>Find the area of the parallelogram. | A | 6,462 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfMAAADrCAYAAAB9/X8JAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb... | <image>The degree measure of minor arc \widehat A C and major arc \widehat A D C are x and y respectively. If m \angle A B C = 70, find x. | C | 6,463 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAADACAYAAADWUx5FAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMegz6CUmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisdruni1tlZa5emMsxZZ/PwTpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x in the figure. | B | 6,464 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQkAAACvCAYAAADuWisjAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRu... | <image>Find y. | B | 6,465 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAhgAAAD6CAYAAADjlz6wAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc... | <image>Find x so that a \parallel b. | B | 6,466 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVYAAADRCAYAAACXbZpXAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN... | <image>Express the ratio of \cos N as a decimal to the nearest hundredth. | A | 6,467 | null | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWcAAACpCAYAAAD3Lfz9AAAg4UlEQVR4nO3deVzU1f7H8RcNKOC4sIkICgiiILiTppZrZYtLJpZ5XTLLMjW17LbdFq/eTEspzbK4ad2yn7nlUmqaS5GluLMpsokgArIII6DDzPf3B2KjAqIC84X5PB8P/2DmMJzBmfcczvl8z7FSFEVBCCGEqtxl7g4IIYS4kYSzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISzEEKokISz... | <image>For trapezoid Q R S T, A and B are midpoints of the legs. Find m \angle S. | D | 6,468 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAAD4CAYAAADLqNJwAAAlmElEQVR4nO3de0DN9/8H8GerxrGGDi0UxQrRVnPJF2323TdULlGu5RLKJWyzFKvTfFHmlvgil3KvGGrZpkjbb7bMXEZhtalZ6IyGExanKOf3R85R6f4553xur8d/53TO6e3Ss/fn/fq8X28DlUqlAiGENNErbA+AEMJvFCKEEEYoRAghjFCIEEIYoRAhgjZy+odsD0HwDKg6QwhhgmYihBBGKEQIIYxQiBBCGKEQIYQwQiFCCGFE1CGSm5uL... | <image>Find y. | D | 6,469 | null | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAk8AAAHJCAYAAACcxt02AACYhklEQVR4nOzddXyV5RvH8c/JdTJidHeXotJgooJ0d9cIJexCUWJ0d6fYCiJKiHR3N+veTj7n98fgsP1EZLDtnO1c79dr/wwYD2fjOddz39/7ulQ2m82GEEIIIYR4LGpHX4AQQgghRE4ixZMQQgghRAZI8SSEEEIIkQFSPAkhhBBCZIAUT0IIIYQQGSDFkxBCCCFEBkjxJIQQQgiRAVI8CSGEEEJkgBRPQgghhBAZIMWTEEIIIUQGSPEkhBBC... | <image>E B \parallel D C. Find A B. | B | 6,470 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAUYAAADfCAYAAACKyXrPAAAr70lEQVR4nO3da0BTV7428IeKFzCCoDQqVwEVbPCO2qqD09FqLUewjp1XW28jesbWdsbpi/XUdqw9Y0+ttnYqdc5pcVDb0letKI5jvbVHK1SLKCBRMYDlErRpJEAEk2ho3g8xmyTkAslOsnfy/30KBpNt3Hn2Wuu/9lp+Op1OB0IIIYxHPH0AhBDCNRSMhBBihoKREELMUDASQogZCkZCCDFDwUgIIWYoGAkhxAwFIyGEmKFgJIQQMxSMhBBi... | <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | B | 6,471 | null | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdgAAAFDCAYAAACZeB8ZAAAq+0lEQVR4nO3de2BT9f3/8RfGqkUYUC6CxVLAgIAiwtqKsqGTy0AdnRegRSZzboo6KBOtitcpOlSgeAHUucEPLYKKMsR+CzhRwQwYCCigpNzKnZYWASmsLfn9QRPSkNK0OSc5SZ+Pv3rSNPk4V199nbzP+dRzuVwuAQAAQ50T7gUAABCNCFgAAExAwAIAYAICFgAAExCwAACYgIAFAMAEBCwAACYgYAEAMAEBCwCACQhYAABMQMACAGACAhYA... | <image>Find \cos C. | C | 6,472 | null | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANsAAADtCAYAAAA2oADwAAAYl0lEQVR4nO3de3xU5Z3H8Q9OQgiEQG5ETMjdhJBwlQAqiFdUqkCh2K6tii7ttrp1t1aoq1Zra1sKrdiq2K2uWnHZVgREu9IKL9dqQCGUi7mRmBuQC2NIIiEkgVzO/jFMGMLMZCbMnOvv/Xr5h2RmeMLJ9znfc55zToYoiqIghAi6S7QegBBWIWETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFU... | <image>J K L M is a rectangle. M L P R is a rhombus. \angle J M K \cong \angle R M P, m \angle J M K = 55, and m \angle M R P = 70. Find m \angle K L P. | D | 6,473 | null | D |
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