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Find the scale factor for the dilation shown. A coordinate plane shows two diamond-shaped quadrilaterals (rotated squares), one smaller in black and one larger in red. The black figure has vertices P at (2, 0), L at (4, −2), R at (2, −4), and U at (0, −2). The red figure has corresponding vertices P′ at (4, 0), L′ at (8, −4), R′ at (4, −8), and U′ at (0, −4).

Which histogram corresponds to the data 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

Biologists studying gray wolves have found that 4 out of every 20 wolves tagged weigh 115 pounds. If the population of wolves in the area they’re studying is 180 wolves, about how many do they expect to weigh 115 pounds?  [answer1] wolves

  If A geometric diagram shows two large triangles. The upper triangle has vertices labeled A at the top left, B at the bottom left, and C at the top right. The lower triangle has vertices labeled F at the bottom left, D at the bottom right, and E at the top right. The slanted sides of the triangles run parallel to each other. The vertical sides on the left and right edges appear straight, with A above B on the left and E above D on the right.

Find the measure of each missing angle.  [answer1]  [answer2]  [answer3]  Two straight lines intersect at point O, forming four angles. One line runs from P in the upper left through O to R in the lower right. The other line runs from S in the lower left through O to Q in the upper right. The angle on the right side between the upward-slanting ray toward Q and the downward-slanting ray toward R is labeled 55°.

Find the value of x if the perimeter is 107 in.  A triangle is shaded in gray with three unequal sides. The left slanted side is labeled 2x + 5, the right slanted side is labeled 4x − 6, and the bottom side is labeled 3x.

The ASB at Shire High School polled their students to determine which subject they felt most confident in. They asked 120 students, 30 students from each grade. Of the students asked, 96 said English was the subject they’re most confident in. If the school’s population is 2,400, how many students can we expect to feel confident in English?  [answer1] students

Sneaky Sneaks is manufacturing new boxes for their sneakers. What is the volume of their shoe box if it measures 7.5 inches in width, 5.1 inches in height, and 14.4 inches in length? 

Find the area of the figure shown:  A shaded trapezoid is shown. The top side, labeled 31 inches, and bottom side, labeled 46 inches, are marked with matching arrows. A dashed interior segment, labeled 29 inches, runs between the top and bottom sides forming a right angle with the 46 inch side.

Find the value of each angle:  Angle P = [answer1]  Angle Q = [answer2]  Angle R = [answer3]  Angle S = [answer4]   A four-sided figure is shown filled with a light blue shading. The bottom-left and bottom-right corners, labeled S and R, each have right angle markers. The left side is vertical from S to P, and the right side is vertical from R to Q. The top side slopes upward from left to right, with the angle at P labeled 5x minus 15 and the angle at Q labeled 3x minus 5. The bottom side is horizontal, connecting S to R.