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<image>A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2015 and 2016?
-24
300
null
-24
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<image>How much money does Ian need to buy a piece of elegant stationery and a white note card?
1
301
null
1
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<image>Mrs. Tang hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2012 and 2013?
-1
302
null
-1
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<image>At Silvergrove Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2010 and 2011?
-6
303
null
-6
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<image>The employee at the department store counted the number of ties on each tie rack. How many racks have at least 30 ties but fewer than 70 ties?
15
304
null
15
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<image>As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 18 pounds but less than 51 pounds?
10
305
null
10
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<image>A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 96 participants?
22
306
null
22
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<image>A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had fewer than 41 broken crayons?
9
307
null
9
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<image>Marcy buys 2 kilograms of gummy bears. How much does she spend?
2.54
308
null
2.54
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<image>Professor Preston released the results of yesterday's pop quiz. How many students scored at least 60 points?
8
309
null
8
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<image>Emir counted the number of pieces of pepperoni on each pizza he made. How many pizzas had at least 2 pieces of pepperoni but fewer than 19 pieces of pepperoni?
6
310
null
6
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<image>A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had at least 15 broken plates but less than 71 broken plates?
8
311
null
8
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<image>Principal Lynch reported the state test scores from some students at her school. How many students scored at least 49 points but fewer than 85 points?
10
312
null
10
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<image>Look at the following schedule. Oliver is at Fisherman's Cove at 11.00 A.M. How soon can he get to Kite Coast?
1:45 P.M.
313
null
1:45 P.M.
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<image>The train conductor made sure to count the number of passengers on each train. How many trains had at least 77 passengers but fewer than 87 passengers?
2
314
null
2
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<image>Gabrielle counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 29 pairs of shoes but fewer than 51 pairs of shoes?
2
315
null
2
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAADKCAIAAAAwz9XOAAAiV0lEQVR4nO2de1xM+f/HP9Ncqqk0Nd1r0lWZEsu6pFpRVERS0XexbBSSbenbskRo17K7Lb4b+QrJIxXFdhMVS1Qi1iVbW23SVrJKt+neNOf3x+e35zs7N7OdEznO8+GP+Zzz7v15n3k5n/M557zn/QEITuzevRsAAADYvHkzXj5XrVoFAAgNDcXL4fuDAsCJ8+fPww9paWkIguDl9l1hzZo1LBbrbUfxP/DRtby8vLy8nMViGRkZ1dfX37lz...
<image>A farmer counted the number of apples on each tree in her orchard. How many trees have at least 30 apples but fewer than 80 apples?
18
316
null
18
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<image>Worried about going over his storage limit, Antonio monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Wednesday and Thursday?
-1
317
null
-1
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<image>A researcher recorded the number of cows on each farm in the county. How many farms have at least 35 cows but fewer than 62 cows?
2
318
null
2
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<image>Alan, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between July and August?
-1
319
null
-1
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<image>How much money does Gabby need to buy a yellow skirt and a pink sweater?
10
320
null
10
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<image>This morning, Mr. Williamson released the scores from last week's spelling test. How many students scored at least 78 points but fewer than 88 points?
5
321
null
5
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<image>A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Thursday and Friday?
-6
322
null
-6
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<image>The employee at the department store counted the number of ties on each tie rack. How many racks have at least 33 ties but fewer than 42 ties?
5
323
null
5
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<image>Look at the following schedule. Kayla is at Dover at 3.00 P.M. How soon can she get to Salem?
10:15 P.M.
324
null
10:15 P.M.
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<image>The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 47 points?
8
325
null
8
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<image>While doing a project for P. E. class, Fred researched the number of athletes competing in an international sporting event. How many countries have at least 33 athletes but fewer than 46 athletes?
7
326
null
7
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<image>A personal trainer recorded how many laps each of her clients ran last week. How many clients are there in all?
69
327
null
69
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<image>Peter found out the sizes of all the clubs at his school. How many clubs have fewer than 65 members?
14
328
null
14
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<image>A pair of Logan High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2015 and 2016?
-6
329
null
-6
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAEiCAIAAACkyjgvAACp8ElEQVR4nOydeTzU2/vAn8FYBmNJSvZ9yU5l35eQEJFoQ+lWtO+37bZvNxVtWmQJaUGSLCFSVJYkO5UkYezrbL8/Pu40jbXtfn+5n/fL62XmOc85n3POPPN8zvaZB3NoFTegoKCg/OYw/a8rgIKCgvITYEH+ufuc+t/WAwUFBeX7iLy8HtBxGQoKysQA9WUoKCgTAdSXoaCgTARQX4aCgjIRQH0ZCgrKRAD1ZSgoKBMB1JehoKBMBFBf9m/Q...
<image>Look at the following schedule. Dominic is at Adams Boulevard at 11.30 A.M. How soon can he get to Church Boulevard?
1:30 P.M.
330
null
1:30 P.M.
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQIAAABeCAIAAABHFo0/AAAduUlEQVR4nO2dZ1wUV9fAz8xWQEAh2BBYQHoXBBGCIKigMRiN0QcffBUQRCX2EjHRFAtKeGwxRKKE2DAWmiIYYkONgoh0FQEFG4j0snXm/TA4rpRdNApo7v+3H3bu3HLm3Dn3njuzey7GTm0FxHtF8RiuwUV+b0vxQYH3tgAIRO+DzACBQGaAQCAzQCAAmQECAcgMEAhAZoBAADIDBAJ6zAyOWbMF47nUp9ade8uJs82Ipcl5a/Wb9sME47mj...
<image>Ruben's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?
underground lake
331
null
underground lake
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPEAAADaCAIAAAD4wjOrAAAyW0lEQVR4nO2deVxN6R/Hv3fp1m0llRS6t32jTQstQ6ixpBEiy1SWMBgMQ/ZlLINkHVuIQYYQ2pStTCSTppQWpUVK2lT31r23zr3n98fJmfSjMJnqeN6v/jjLc57ne875nO95znM7n0ODMQmAQFAIemcHgEB0MEjTCKqBNI2gGkjTCKqBNI2gGkjTCKqBNI2gGkjTCKrRPTStoy5z/Efd58etBFcGV4bY/rljgKeDCrn25WnrLTP6f1KFplqy...
<image>Diana spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?
-2
332
null
-2
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPAAAADaCAIAAAAXAFiVAAA1UUlEQVR4nO2deVxM6x/Hv9PMNDNtU9pLu2RJSYoWFclWEbmhJEvhKimyZr1cpOhKueKia229hDakkqSFaqIsqWyRomXam+b8/jicO79K93Ijjef98sc5z/Oc5/me43Oe8zzPdD6HFOylDQgEv0ABgBlOa/o6DASiF4g9u1+gr2NAIHoTJGgEX4EEjeArkKARfAUSNIKvQIJG8BVI0Ai+gtLXAXxdJjttLXr8otusuTPMDHQ11/xyfNhgpaSz...
<image>The aquarium's records showed how many tickets were sold in the past 5 days. What is the mean of the numbers?
46
333
null
46
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMUAAAD2CAIAAADptNSkAAAqnElEQVR4nO2deVwTR//HJxeQAJIAAkK4DCgiBSwth0JBQQVFUECkraiVw4pVLJ711lrQWkptabFQUeoBilKoiIJaUfEoeHAphRTxQEMBBYyAQsL+/pjnWfMkIVJYSMJv3i/+YHa/mZnd/WSvzGe+AMOwwMBAIIKKioq5ufnixYvv37+P9Yu6ujpYVUtLS/9q+LcsXLgQABAdHY1h2IEDBwAAdnZ2Q9P0YCB7E0Q3VtEg4zLS1dV1cnJycnKy...
<image>Summerfield Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 14 broken tiles but less than 82 broken tiles?
20
334
null
20
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAC7CAIAAADwlFyDAAAycklEQVR4nO2dd1hTSReHTxIghF6iIFKUjuBKFwQBARdUEAVUENC1C/ZVXPuKBXsDO3ZFxYJiRRDpKh0RCx3FVYr0Hgj3+2OWfFlKghXUeR8fn3un3XNncjJz55LzI0U4ugMGg+EIDwBYzJ3Z22ZgMH2XqOOnyL1tAwbzA4D9BIPhDvYTDIY72E8wGO5gP8FguIP9BIPhDvYTDIY7fchPDt26QbG1pNha7rp6mZVYVVdHsbXkG2v9da81Y88O...
<image>A real estate agent evaluated the number of houses sold this year in each town in Franklin County. What fraction of houses sold in Franklin County were in Hampton? Simplify your answer.
67/219
335
null
67/219
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJoAAAC0CAIAAADjO6IGAAAlHElEQVR4nO2dezxU+f/HP3NjDGPGJUaMS0OkVkk3kewicq0hiaSN2KR207fLptJlt7Ktra22thvaVdlUm1hJiSKVClGuuZSKUEiMy4zz++Pz63znOze3Mdp5zPPRH51z3j6fzzmv+XzO7XXeH4AgiJqaGuCCSCROnTo1Li4OkSFBampq4PFvaWkZciF4VEUNDQ0ymYwgSH19fX5+/vLly9va2tauXQtkSAQSieTi4gIAIBAIQy8F+dQ7Y2Nj...
<image>Samir, a journalism student, counted the number of pages in several major magazines. How many magazines had less than 55 pages?
8
336
null
8
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOUAAADaCAIAAADWhxI5AAAzVUlEQVR4nO2dd1wUx/vHn71OR5oJtjvqAdKlCEgsiF0EVMQKEjFGEzUm/ojGRmL5GsREE1GJIUaDsWGj2KJgQxBQAQWDqIgoShG4A67s3v7+WD0vRo9iOdfM+8Ufu7OzO8/ufnZmdvbmAwZbHwMCQRMYmg4AgegASK8IOoH0iqATSK8IOoH0iqATSK8IOoH0iqATSK8IOvEG9dowzeCHvlpv7vhvgf9z5j6eZlAzxeC59DkOXPxjwzZ376mD...
<image>A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Monday and Tuesday?
-12
337
null
-12
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAAD5CAIAAAB6TUobAAAvxUlEQVR4nO2deTwV+//H3+PgHOeQJVmyZd9KpCwXrdy0ahFKIoUW2tzciroq1ZW0qbS5bUSUUorSLYXInuxbRWVpse+O+f0x907ne2yn6N7m/ub5R4+Z93zmM5+Z15k5n6P3a96IzvnZQPJjww0AW+au/beHQdIvh6MDuf7tMZAMDikSASBFIgCkSASAFIkAkCIRAFIkAsA9aIu4P6Iv7zjT5yavKF9VfY3Nk1Z9rKzddMFTd5bBsIzpQ2XN...
<image>In a recent election at Sullivan University, six people ran for student body president. What fraction of votes were for Kathleen? Simplify your answer.
31/261
338
null
31/261
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAARMAAADaCAIAAAAKWzEnAAAn3klEQVR4nO3deVwU9f8H8Nfey72JgieIqKAkonmEJmkelWbf1FTAI03wJktK1MT8Wmomv75KaYpiaql4oZWaF2ZepOaBF4IKcggqCMiy7LK7s/v7Y3BZOVacWFbb9/PBH7vz+cxn3zPMe3dmWD5vXuF4EEKeFd/SARDyQqLMIYQLyhxCuKDMIYQLyhxCuKDMIYQLyhxCuKDMIYSLp2SOoIWfbL2+2h9+s5frJAK7qTvtPz1SJ0PVM0nf6bJ1...
<image>At Newport Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2009 and 2010?
-13
339
null
-13
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQMAAADaCAIAAAAt9bDPAAA0N0lEQVR4nO2dZ1wUxx/Gf3D0rlJUihzSlXYUQbCgCImgiEgTVCyIiiYak2jyV6IYsWEBjRWDqFhpAqJItaFIUUqo0kWQDgcHBxz3f7FmcwE8juZpmO+HF7szs7O/Ge7ZnZ29e4YD1vMDAjHu4WR3AAjEFwFSAgIBgJSAQGAgJSAQAEgJCAQGUgICAYCUgEBgICUgEADDU8Lm+W50f8oNtyujHcyXS/DmoLid91lPHzlbF2zquUgei5pHhXfH...
<image>An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between January and February?
-13
340
null
-13
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOsAAADaCAIAAADITiKKAAAmKklEQVR4nO2de1xM+f/HX3PtXiPdlSmiC3ItmxUrLbsbS+6+S/i22CwWkULYXYvwXbddihXCspXbsrUiclv365Jcfl3cuqAy02Wmuf3+OGOaMmZSNB19ng9/zOf9uZz3OV7zOZ9zTuc1jOIJIBDoC1PfCRAI9YIomEBviIIJ9IYomEBviIIJ9IYomEBviIIJ9IYomEBvGpmCDc15myWGgxZXiw1dyotTMO3c1YPmK3NNvtnDbNGeF6dgtelZ...
<image>Every year Wildgrove has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2012 and 2013?
-6
341
null
-6
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMcAAADaCAIAAACdL8HUAAAjk0lEQVR4nO2deTxU6x/Hn5lhSrJU9mRfS4nqFsUtdbVIUVrcFlpFaUGiRd3qli0t+pHCjWiTbisZ2aK46SYVCZm0WbMNZmFmfn+ce08T5gw51vu8X/3hfJ/n+Z7vc3zmOWeOcz4RwAYRAIHgCrGvC4AMQqCqIPgDVQXBH6gqCP5AVUHwB6oKgj9QVRD8gaqC4E/fqOqawyVuaPNm0/V9svcBzTazLa3naX1dhQD6QFWSIhKLJlrkfnxpZ7wa...
<image>Mrs. Callahan hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2008 and 2009?
-3
342
null
-3
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAANMAAAD2CAIAAADDBCULAAAlJklEQVR4nO2daVwUx9aHz8zADAwg+w7DMoiAICBGVkWFBFxRNnGLKIgKEhKM4nWJhhiVvBqTSELUiBAXRJaIQYwohqi4LygqAgIaEYiggiOgwNDvh7q371xAoqbHZuh6fnyY6q6pc7r6T1V1T50qIAgiICAAJOByuWZmZvPnz6+qqiLeiurqalTU06dP366Ef8Lu3bsBwN7e/t2bfvf0XdX9uSrYpOC0tLScnZ2dnZ2trKxqamqSk5NdXFye...
<image>A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had at least 19 broken plates?
11
343
null
11
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV...
<image>Use parallelogram M N P R to find y.
A
344
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAF/CAYAAACrAtiBAABiE0lEQVR4nO3dd5xU9b3/8deZPjvbe6XvLioWBEEQe++KJsaYYro1JjfJzS83uTfl5qZ3a6LGVI1G7BqNvSAiKCoibAG2916mz5zfHzM7ix12F3aZeT8fyT95wGYYmHPe8zmf7+djmKZpIiIiIpJkLNP9AkRERET2BoUcERERSUoKOSIiIpKUFHJEREQkKSnkiIiISFJSyBEREZGkpJAjIiIiSUkhR0RERJKSQo6IiIgkJYUcERERSUoKOSIi...
<image>If A D = 27, A B = 8, and A E = 12, find B C.
B
345
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAjEAAAEMCAYAAAA1Y+caAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAIhLwMDInJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFo004JpwfNI7YUcq///4uaajqkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta...
<image>Find the measure of \angle 2.
A
346
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAAD4CAYAAACE9dGgAAA+nklEQVR4nO2deVhU5fuHbwJUEBdQRAMBBRQUVwQXMK3cy72sXPOrlZpmZpZpZVaWa9ZPs0XLJdPURG0xNSstcAFFcRdQUSFCBBSBAWGc3x/jjAMM+yznzLz3dXld4Jwz83DmnM953+c8z+e1UalUKgQCgUCmPGTuAAQCgaA6CBETCASyRoiYQCCQNULEBAKBrBEiJhAIZI0QMYFAIGuEiAkEAlkjREwgEMgaIWICgUDWCBETCASyRoiYQCCQ...
<image>Find x so that the quadrilateral is a parallelogram.
A
347
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAcUAAAGNCAYAAABgymqFAACeyklEQVR4nOzdd3hc13ng/++d3jEVvVf2Jhb1LlG9u8S923Hs/DbZbJJNNtlNc3piZ71x7DiucVzUrUpRokhRlSIlEmwoRO8YTO/1/v6Y4QCkKIkiBsQAOJ/n8SOLIoeDKfe955y3SLIsywiCIAiCgGKxn4AgCIIglAoRFAVBEAQhTwRFQRAEQcgTQVEQBEEQ8kRQFARBEIQ8ERQFQRAEIU8ERUEQBEHIE0FREARBEPJEUBQEQRCEPBEUBUEQ...
<image>Find x.
C
348
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAfAAAAEkCAYAAADQA2PfAABHQklEQVR4nO3deUBU9frH8fc4oEKIgCKLCKLsKiquiVultriWaWVllua92XLzlv4sc6tbV3MvtWuZWpqV5pbmUua+ooKCgGyCiKIimyCCMMzvD1AHZBlwYGaY5/UXwpmZLzJzPud8z/d5jkKtVqsRQgghhFGpp+8BCCGEEKLqJMCFEEIIIyQBLoQQQhghCXAhhBDCCEmACyGEEEZIAlwIIYQwQhLgQgghhBGSABdCCCGMkAS4EEIIYYQkwIUQ...
<image>Find B D.
A
349
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAAEmCAYAAAB4XJLUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>Find the measure of \angle R to the nearest tenth.
D
350
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEsCAYAAADQJYSkAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwMvAxsCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsXtuav29kL2vyZafUn/EoiMBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwN...
<image>Find y.
B
351
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAFOCAYAAAAhPx6/AABAb0lEQVR4nO2de1gU593+bwuGgwiCIirI+SQsKghoFIPNz2MaNcHEvJqqseLbpNWkxmKtmlfTRGv0TU2iSdpoXnOqNrHxEJOo0SYaNYngAQU5iYiwqLgKisCycXF/f+DCzOx5d2Zndvb7ua5ezczuDCPM3PM893M/36ebTqfTgSAIgnAqvxD7AgiCINwREl+CIAgRIPElCIIQARJfgiAIESDxJQiCEAESX4IgCBEg8SUIghABEl+CIAgRIPEl...
<image>Equilateral pentagon P Q R S T is inscribed in \odot U. Find m \angle P T S.
D
352
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAR8AAADlCAYAAABqKfOGAAAQvklEQVR4nO3dX2xUV2LH8R8BCaggA8uqUZKdWSgkD1lPEiWi0sbuhlarRBgly0qJZDtEkD4sBm/S9I9lyUXqPrCWLF6iJoBZqQqoLLhKpGW3wlZWrUIQ3hcrCDpWHpLQROMNCFU0XLAEqUzcB3Mvd8bjsWfm3jn3nvP9vOyAZ9ijevqd8+fO3SUzMzMzAoAmu8/0AAC4ifgAMIL4ADCC+AAwgvgAMIL4ADCC+AAwgvgAMIL4ADCC+AAwwvr4...
<image>W X Y Z is a square. If W T = 3. Find X Y.
B
353
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAElCAYAAACBEGfnAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>In the figure, m \angle 8 = 96 and m \angle 12 = 42. Find the measure of \angle 6.
A
354
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAq8AAAGxCAYAAABMVV/rAACHHUlEQVR4nOz9d3Bk97nmeX7T+0wgDbxHeaC8YRXJoveeEiVKlCjpur63+27MTE9sz0xsTMRObMzObMTO7EZ3zE6bK+leUSIpGlH03ogs7x1QhTIo+ASQPpEW6c7+kZkwZciqYhmY9xPBoAQkTibAqpMPfuc570+lKIqCEEIIIYQQ84D6Vr8AIYQQQgghrpSEVyGEEEIIMW9IeBVCCCGEEPOGhFchhBBCCDFvSHgVQgghhBDzhoRXIYQQQggx...
<image>Find m \angle 2.
C
355
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAFSCAYAAADSAIrtAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAEFGRmEEhMLi5wDAjwAfIYYDQq+HaNgRFEX9YFmXXT7Mim4rkXSq/kTk22YHhQjKkeBXClpBYnA+k/QJyeXFBUwsDAmAJkK5eXFIDYHUC2SBHQUUD2HBA7HcLeAGInQdhHwGpCgpyB7BtAtkByRiLQDMYXQLZOEpJ4OhIbai8I8Lq4+vgoBLsamRta...
<image>In the figure, \triangle A B C is isosceles, \triangle D C E is equilateral, and \triangle F C G is isosceles. Find the measure of the \angle 3 at vertex C.
B
356
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVQAAAEQCAYAAADvW4zPAAAj10lEQVR4nO3dfVhUddoH8C+JwiBBYiy5YiqigmJhAdpiYT2aZiYmj7m+ZLGRu6bpkqvLo5VrpWuaWYm2JS6ppaumpla+1LZYuipQYOIbovkypISAIDi8DM7zx8Q4c5iBYTgzc16+n+vquoIZmKPId373Ob9z3x4Gg8EAIiJqtdvcfQBERErBQCUiEgkDlYhIJAxUIiKRMFCJiETCQCUiEgkDlYhIJAxUIiKRMFCJiETCQCUiEgkDlYhIJAxU...
<image>Find x.
D
357
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPEAAAEBCAYAAACpLkOkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7Gpkb...
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
A
358
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAABBEAAAGLCAYAAACRPgrpAADn0klEQVR4nOz9dXdcd5rG/X6LmcUMlmV2zByyA01JOj3M3dPzHHgNz7s466xzzjPcA90z09Mc6MRO4pgpZhJLFkvFTHufP3ZJlmQ7lhXLovuzVpYhtmpLcklVV92/+9KpqqoihBBCCCGEEEII8RT6pb4AIYQQQgghhBBCrAwSIgghhBBCCCGEEGJeJEQQQgghhBBCCCHEvEiIIIQQQgghhBBCiHmREEEIIYQQQgghhBDzIiGCEEIIIYQQQggh...
<image>Find m \angle 2.
B
359
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAHYCAYAAAC/e7cLAAB9M0lEQVR4nOzd52Pb53rf/ze49wK4B0AMgpuUtW3Je1vWlrySZuckbXrSpO1f0V/SJk2b0TQ5TeJjay/vIcvW3uIm9iDAvcA9MH4PQMH2sY+pQRGkdL0eSgJ4fW0R/Oi+7vu6FaFQKIQQQgghhPi1YqJdgBBCCCHESieBSQghhBBiERKYhBBCCCEWIYFJCCGEEGIREpiEEEIIIRYhgUkIIYQQYhESmIQQQgghFiGBSQghhBBiERKYhBBCCCEW...
<image>Find m \angle T U V.
C
360
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAETCAYAAAD6R0vDAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMrAzyCemFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisD4+2Fz1M7jyRZ5HacOf0wcmY6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5...
<image>Find the measure of A C.
C
361
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAuIAAAILCAYAAACtqPl1AAEAAElEQVR4nOz9d3Rc93nv/7739D6YGWAGHSBBAuwUJXb1LstxTdzj3pKc5OTkOKese9dd69z7u+t3T3pyck7iuNux4zhOXGOrS6Qau0RRFIlGEh2YAQbT+8ze9489GIISqwQSAPG81nKcBYPAkAAGn/nuz34eRdM0DSGEEEIIIcQNZVjsByCEEEIIIcRKJEFcCCGEEEKIRSBBXAghhBBCiEUgQVwIIYQQQohFIEFcCCGEEEKIRSBBXAghhBBC...
<image>In \triangle J K L, P T = 2. Find K P.
B
362
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAXUAAACpCAYAAADUdq0oAAAgrklEQVR4nO3deVxVdf7H8RebyKZ4AUVBRQRzwXJBczcl1Bat1Mp+ZVOajWVjNUM52dg+aY1l4+RSljXqTJs2aeWSpC3mCqHlAqIGioogm+xc7r2/P/TgwdiEc++59/J5Ph49HgWXywmvb849n+/3fVwqy85YEEII4RRc9T4AIYQQ2pFQF0IIJyKhLoQQTkRCXQghnIiEuhBCOBEJdSGEcCIS6kII4UQk1IUQwolIqAshhBORUBdCCCcioS6E...
<image>A B C D is a rectangle. If A C = 9 x - 1 and A F = 2 x + 7, find A F.
C
363
null
C
[ { "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 M L.
C
364
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWMAAACuCAYAAADjw2w/AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3...
<image>Which of the following statements about the figure is true?
B
365
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAEUCAYAAACcSnvyAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwM8gxsCSmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisC7aSmesmMSxXbTvSeH32L15M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>Find the area of the quadrilateral.
B
366
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADgCAYAAADFYxD+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...
<image>Find the measure of \angle 3 in the figure.
D
367
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAELCAYAAAAspXpuAAA4FklEQVR4nO3deVyTV9YH8B8mLMEYFRcEIyKrIqigUStYaIttXUas2nZqW2qntDPT6kw7M/hxate3Y8dKd62dTpm6tGM3a6WbU7UVqrihaAUXVhGjiEiQgIQlIe8fMU8ekJAASZ4l5/tPU3iS3MRwT+4999zrYTQajSCEEEK60I/rBhBCCOEvChKEEEKsoiBBCCHEKgoShBBCrKIgQQghxCoKEoQQQqyiIEEIIcQqChKEEEKsoiBBCCHEKgoS...
<image>Find D E.
A
368
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMYAAAC7CAYAAAA+J+FCAAAfoklEQVR4nO2dfVRTd7rvv7ZxJBijgojKq4CIGq1Sop6K4vT4Um1HUI9zp7a1ZUo77VR7rqcHj3dsa50Ze62O4z2j02lHWk61y67WEcXp8bXTpS10WtBCNVpAUJAgJ00JEIGEGuT+sWfv7LxBst+T/D5rda1gYOfXJN/9e57n97wM6e/v7weBQHDhHrkXQCAoESIMAsELRBgEgheIMAgELxBhEAheIMIgELxAhEEgeIEIg0DwgkruBYQ7dcZO...
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
D
369
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAC/CAYAAAA4nv31AAAbk0lEQVR4nO3deVxVdf7H8RfClUVSBBUR3AG10NzQ3EYrl3EZMW35ZUWWzPyqyZYpnCZ/ldbUWJY1o2O/+YXZOGVTaYpT5tKCCZqSO6XhkgguZIIissiF+/uDJVBR1nvPuff9/EcfnHvP/V69983nns85n+tms9lsiIiIoTVx9AJEROTqFNYiIiagsBYRMQGFtYiICSisRURMQGEtImICCmsRERNQWIuImIDCWkTEBBTWIiImoLAWETEBhbWI...
<image>Find y.
B
370
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAScAAAFoCAYAAAAVVD34AAAKuWlDQ1BJQ0MgUHJvZmlsZQAAeJyVlgdUU1kax+97L52EFnoNvSNFIICU0ANI76ISkkBCCTEhqFiwMDiCY0FEBJQRUSkKjkqRsSKKbVBs2AdERNRxsCAqKvuAJczsnt09+51zc3/58t2vvPNuzh8A8leWUJgBywOQKcgWRfh70eLiE2j4ZwABcoAKcADLYouFjLCwYIDazP53+3gXQJP7LavJXP/++381BQ5XzAYACkM5mSNmZ6J8HF3P2EJR...
<image>Find x.
C
371
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPsAAADgCAYAAADFYxD+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...
<image>Find the measure of \angle 2 in the figure.
A
372
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAgYAAAEyCAYAAACBPBiGAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>Find x. (Hint: Draw an auxiliary line).
D
373
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
374
null
D
[ { "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
375
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
376
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
377
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 perimeter of A B C D E.
C
378
null
C
[ { "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
379
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQoAAAChCAYAAAA/Z/FQAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>Find the area of the shaded region. Round to the nearest tenth.
C
380
null
C
[ { "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
381
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAACxCAYAAADj/4nUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
D
382
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAFTCAYAAAAeKPqsAABgqklEQVR4nO3dd2Ac13nv/e/M9obeO9jA3rt6pZol2ZYlW7JsucQtjnPTE79xmnMTpzn32nEcX/eqYstWLyQlUmInJXYSBAmi97Io29vM+8cuFgCLRIlLAth9PrYEkgLJIbE7vznPOec5iq7rOkIIIcRlUqf6AoQQQqQHCRQhhBApIYEihBAiJSRQhBBCpIQEihBCiJSQQBFCCJESEihCCCFSQgJFCCFESkigCCGESAkJFCGEECkhgSKEECIl...
<image>Find x.
B
383
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
384
null
C
[ { "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
385
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAFqCAYAAAAnVzG2AAA2jUlEQVR4nO3dX2xU5/ng8ScVlcyK5OBouYBoBhtYtEIzgaailTrEJq02CHtb3IuVbOQIsxexCc3WbcTPErCKIwGSi9I6TYnt3MRWLXtuVjWJbItIv18N8UTbWk2dzCwXbAzOzBK0ywp7oFqslbXei+Eczvw/M3POnD/z/UiRPPZ4/IZjOM+8z/M+zzMbGxsbAgAAYIPv2L0AAABQuwhEAACAbQhEAACAbQhEAACAbQhEAACAbQhEAACAbQhE...
<image>Find the value of x in the diagram.
D
386
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
387
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAH7CAYAAAB8ALMEAADyFklEQVR4nOzddXhc17X38e8ZRjFLlizLzDHFGNthZm7aJm3aW27K+Pbe8m2b4g0U07QNNYwNOI4DppgZJNlCW4zDcM55/xh5BJZkSZZs2V6f58ljiCyN5Zkzv7PW3msruq7rCCGEEEKIUcdwuh+AEEIIIYTonQQ1IYQQQohRSoKaEEIIIcQoJUFNCCGEEGKUkqAmhBBCCDFKSVATQgghhBilJKgJIYQQQoxSEtSEEEIIIUYpCWpCCCGEEKOU...
<image>Find m \angle G.
A
388
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAEACAYAAACTecuMAAAyb0lEQVR4nO2dfVyUVd7/3wakGIKgiArKg4iIqDwImlq4rWa1FaVbrd6r6Z21W2m7bWvrXe1Wu2s/y7u8S8vdotvKbt1y1Sx302pbKSgVVBREQORxEHFkkBEYiMH5/THOxQDDzADzcM3Meb9evV4DXtfMabg+53zP93zP5wzS6XQ6BAKBR3GdsxsgEAgcjxC+QOCBCOELBB6IEL5A4IEI4QsEHogQvkDggQjhCwQeiBC+QOCBCOELBB6IEL5A...
<image>If M D = 7, find R I.
B
389
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAD1CAYAAAAlFfzlAAA9pklEQVR4nO2deVxUZRfHvyOigLiAIiEo+6agiWuiSYWpaa6VaYtZ2ltqpZm+vlppmWZqm1laaVqpZaapZaWSYYqaC4igyCoqRMi+yOIw3PePAYRhgGEZZoZ5vp+Pn8/gXebMzL2/+zznnOccmSRJEgKBQGDEtNK1AQKBQKBrhBAKBAKjRwihQCAweoQQCgQCo0cIoUAgMHqEEAoEAqNHCKFAIDB6hBAKBAKjRwihQCAweoQQCgQCo6e1rg3Q...
<image>Find m \angle J.
C
390
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA5kAAAHxCAYAAADnbng4AAEAAElEQVR4nOzdd3RVZdrG4d8+PSe9EwgdkhCqig17FxVUioLYdXTsbWzj+I3O2Ltjr4A0lapib2BBpQkBQgrpjYT0dure+/sj4SRBCEkIkPJca81aI4Z4IMnZ+9nv+963ouu6jhBCCCGEEEII0QkMh/sFCCGEEEIIIYToOWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEIIIYQQQgjRaWTIFEII...
<image>A B C D \sim Q S R P. Find y.
B
391
null
B
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAQQAAAEVCAYAAAAGgps0AAAaMElEQVR4nO3dXUxU57oH8H9PuBgT7RITL9TMiNp4QWaE2liTjQKek9QAUWbfDaQ7Qi+OirtbWtKYsE2KiduEY6x094jYiw1mG+BuD22AaLKPSJkm1tSiEC9I/OhMrBcm4tImckHiuZhZL2uG+f5YX+//lzRBGGQ1cf687/M+61nvvH379i2IiAD8h9kXQETWwUAgIoGBQEQCA4GIBAYCEQkMBCISGAhEJDAQiEhgIBCRwEAgIoGBQEQCA4GI...
<image>If W X Y Z is a kite, find Y Z.
C
392
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUsAAAEbCAYAAABTOaZpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc...
<image>Find y in the figure.
A
393
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
394
null
D
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAhsAAACeCAYAAACbxcj/AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW...
<image>Find the height of the parallelogram given its area with 100 square units.
A
395
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAmQAAADzCAYAAAAo7QpuAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3...
<image>Find the measure of \angle 1.
C
396
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAhoAAAGRCAYAAAAjJhqgAACsf0lEQVR4nOz9d3ic53Xve3+n94IyqIPCBvYG9k6K6pLVi9Usybbck9hJdnZ29jnnfc/uyU6cxNtO3CVbxZKsYvVGir0T7L2izaCX6X2e88eAINhBEh3rc13OdSnCzDwDDWbW3Pe6f0ulKIqCEEIIIUQ/UA/2BQghhBBi5JJCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFEv5FCQwghhBD9RgoNIYQQQvQbKTSEEEII0W+k0BBCCCFE...
<image>Find m \angle 5.
C
397
null
C
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEDCAYAAACMMDe+AABgDklEQVR4nO2deViUZduHzxFQQcAVEUFABQTEBRX3hUxzyVzfNM01l8olTV+ttDTrtc802zQtl9y13DV3ybBwQ2RRFAXcQUL2RRZheL4/BsZhH2AYBrjP4/A4ZOZ5nrln+8113dcmkyRJQiAQCASlokZFL0AgEAgqM0JEBQKBoAwIERUIBIIyIERUIBAIyoAQUYFAICgDQkQFAoGgDAgRFQgEgjIgRFQgEAjKgBBRgUAgKANCRAUCgaAMCBEV...
<image>Use parallelogram M N P R to find m \angle N R P.
A
398
null
A
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAC2CAYAAABu6cCjAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOwM8gyyCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis6bce3FrtZzyDZVvGAdHJ7DMw1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNz...
<image>Find x.
A
399
null
A