Find the value of the missing interior and exterior angles.  x = [answer1]  y = [answer2]  A five-sided polygon is shaded in yellow. Interior angles labeled inside the shape are 103° at the top, 107° on the upper right, 101° on the lower left, and a right angle at the lower right corner. On the left side, one vertex shows an interior angle labeled x°, and an exterior angle labeled y° formed by an extended line.

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 measure of angle LPE.  [answer1]  A horizontal line passes through point P, with point A on the left and point E on the right. From point P, a ray extends upward and to the right through point L. The angle formed between the leftward horizontal ray (toward A) and the slanted ray is labeled 142°. Point L lies along the slanted ray above P.

Find the area of the figure shown:  A shaded parallelogram is shown. The top side is horizontal and labeled 23 centimeters. To the left of the figure, a dashed vertical line indicates a height of 36 centimeters, with a right angle marker at the top where it meets a dashed horizontal segment.

Mrs. Jones recently gave her class a math test. Here are the scores from the test:  82, 75, 90, 92, 97, 86, 79, 61, 67, 81, 84, 76, 77, 81, 60, 69, 77, 88, 82, 81, 82, 91, 98, 71, 76, 90, 89, 82, and 92. She wants to find out how many students scored in each grade range, so she makes a frequency table. Complete the frequency table for this data.  Score Frequency 60 – 69 4 70 – 79 [answer1] [answer2] 11 90 – 99 [answer3]  

Find the area of the figure shown:  A trapezoid is shown filled with a dark blue color. The top side, labeled 19 inches, and bottom side, labeled 29 inches, are marked with matching arrows. A dashed interior segment, labeled 12 inches, runs between the top and bottom sides forming a right angle with the 29 inch side.

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

Hector is conducting a survey asking how many hours of sleep students get each night. He asks every fifth student from the school’s roster their opinion. Determine the sampling method. 

The scores from Mrs. Jones’ math test scores shown.  82, 75, 90, 92, 97, 86, 79, 61, 67, 81, 84, 76, 77, 81, 60, 69, 77, 88, 82, 81, 82, 91, 98, 71, 76, 90, 89, 82, and 92 If a student scores 89.5 on the test, how does the score compare to the score of the rest of the students?