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Find the coordinates for the dilation of the figure with the given coordinates if the scale factor is 3.  :  :  : : [answer1] : [answer2] : [answer3]

Mr. Arias recently gave his class a history test. Here are the scores from the test:  72, 85, 80, 92, 77, 66, 89, 61, 87, 71, 64, 96, 87, 91, 70, 69, 67, 97, 82, 91, 71, 93, 88, 61, 86, 90, 79, 85, and 94 He wants to find out how many students scored in each grade range, so he makes a frequency table. Complete the frequency table for this data.  Score Frequency 60 – 69 6 70 – 79 [answer1] 80 – 89 9 [answer2]  [answer3]  

Find the value of x.  [answer1]  Two parallel diagonal lines are marked with matching arrow indicators, showing they run in the same direction. A transversal line intersects them at points U (upper intersection) and X (lower intersection). The transversal, also labeleld with a cursive lowercase l, extends from point VS on the left through U and S to point V on the right. The upper parallel line, also labeled with a cursive lowercase m, extends from point T at the upper right through U to point V at the lower left, while the lower parallel line, also labeled with a cursive lowercase n, extends from point W at the upper right through X to point Y at the lower left. The intersections form multiple angles where angle VUX is labeled (8x-7)° and angle YXU is labeled 123°.

Name the consecutive interior angles. Angle VUX is consecutive interior to angle [answer1] Angle TUX is consecutive interior to angle [answer2] Two parallel diagonal lines are marked with matching arrow indicators, showing they run in the same direction. A transversal line intersects them at points U (upper intersection) and X (lower intersection). The transversal, also labeleld with a cursive lowercase l, extends from point VS on the left through U and S to point V on the right. The upper parallel line, also labeled with a cursive lowercase m, extends from point T at the upper right through U to point V at the lower left, while the lower parallel line, also labeled with a cursive lowercase n, extends from point W at the upper right through X to point Y at the lower left. The intersections form multiple angles, but no angle measures are labeled.

Find the value of x and y.  [answer1]  [answer2]  Two parallel diagonal lines are marked with matching arrow indicators, showing they run in the same direction. A transversal line intersects them at points T (left intersection) and B (right intersection). The transversal, also labeleld with a cursive lowercase l, extends from point V on the left through T and B to point C on the right. The leftmost parallel line, also labeled with a cursive lowercase m, extends from point S at the top through T to point U at the bottom, while the rightmost parallel line, also labeled with a cursive lowercase n, extends from point A at the top through B to point D at the bottom. The intersections form multiple angles where angle BDT is labeled (5y+7)°, angle UTV is labeled (7x-12)°, and angle VTS is labeled 73°.

Hector is conducting a survey asking how many hours of sleep students get each night. He asks thirty people from each grade level.  Determine the sampling method. 

Which box-and-whisker plot corresponds to the data from Mr. Arias’ history test? Here are the scores from the test:  72, 85, 80, 92, 77, 66, 89, 61, 87, 71, 64, 96, 87, 91, 70, 69, 67, 97, 82, 91, 71, 93, 88, 61, 86, 90, 79, 85, and 94

If A geometric diagram shows two quadrilaterals placed side by side. The quadrilateral on the left is labeled K, L, M, and N. Point K is at the top left, L at the top right, M at the bottom right, and N at the bottom left. Segment KL forms the top edge, LM the right edge, MN the bottom edge, and NK the left edge. The quadrilateral on the right is labeled E, F, G, and H. Point F is at the upper left, G at the upper right, H at the lower right, and E at the lower left. Segment FG forms the top edge, GH the right edge, HE the bottom edge, and EF the left edge. The two quadrilaterals appear to be the same shape but rotated.

Circumference = [answer1] km (Round to the nearest tenth, if necessary.  Use 3.14 for pi.)

Find the measure of angle ONK, given that angle MNK is 90 degrees.  [answer1]  An angle diagram shows three labeled points: N at the vertex, M above on a vertical ray, and K to the right on a horizontal ray. A third ray extends from N upward and to the right, forming a 31° angle with the vertical ray. Point O lies on this slanted ray between N and its endpoint. The vertical ray goes upward from N to M, and the horizontal ray goes right from N to K.