Find the length of . Round to the nearest tenth, if necessar…

Find the length of . Round to the nearest tenth, if necessary.   [answer1]  A geometric diagram shows two quadrilaterals placed side by side. The smaller quadrilateral on the left is labeled A, B, C, and D. Point A is on the top left, B on the top right, C on the bottom right, and D on the bottom left. The top side AB is longer than the bottom side CD. The sides AD and BC slope inward as they move downward to the bottom side. Side AB is labled with a length of 24 inches and side AD is labled with a length of 38 inches. The larger quadrilateral on the right is labeled E, F, G, and H. Point E is on the bottom left, F on the bottom right, G on the top right, and H on the top left. The bottom side EF is longer than the top side GH. The sides EH and FG slope outward as they move downward to the bottom side. Side EF is labled with a length of 36 inches and side EH is labled with the variable x.

The Joshua Tree Preservation Society is doing research on th…

The Joshua Tree Preservation Society is doing research on the rate of growth of Joshua trees in a particular area. This year they measured the trees and found the following heights, in meters:  1.6, 1.2, 0.4, 2.4, 0.8, 1.7, 1.9, 0.9, 3.1, and 2.2 Which box-and-whisker plot corresponds to their data? 

Find the volume of the figure shown.  A purple cylinder is s…

Find the volume of the figure shown.  A purple cylinder is shown oriented horizontally. The circular face on the right is visible, and a horizontal segment on that face is labeled 1.5 inches, indicating the radius. The length of the cylinder from left to right is labeled 4 inches along the top.

Which statement correctly describes the translation shown? …

Which statement correctly describes the translation shown?  A coordinate plane shows two congruent rectangles, one in green and one in red. The green rectangle is below the x-axis with vertices A at (1, −2), B at (1, -1), C at (−2, -1), and D at (−2, −2). The red rectangle is above the x-axis with corresponding vertices A′ at (4, 1), B′ at (4, 2), C′ at (1, 2), and D′ at (1, 1). Both rectangles are aligned with the axes, having horizontal top and bottom sides and vertical left and right sides.

Find the area of the figure shown:  A trapezoid is shown fil…

Find the area of the figure shown:  A trapezoid is shown filled with a gold color. The horizontal top side, labeled 14 yards, and horizontal bottom side, labeled 8 yards, are marked with matching arrows. A vertial left-side, labeled 10 yards, runs between the horizontal sides.

Find the value of x and y.  [answer1]  [answer2]  Two paral…

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 CBD is labeled (4y+3)°, angle UTB is labeled 43°, and angle VTS is labeled (2x-7)°.

Which proportion correctly relates the measurements from the…

Which proportion correctly relates the measurements from the similar figures?  A geometric diagram shows two quadrilaterals placed side by side. The smaller quadrilateral on the left is shaded green and labeled A, B, C, and D. Point A is on the top left, B on the top right, C on the bottom right, and D on the bottom left. The top side AB is longer than the bottom side CD. Side AB is labled 12 inches and side AD is labled 19 inches. The larger quadrilateral on the right is shaded red and labeled E, F, G, and H. Point E is on the bottom left, F on the bottom right, G on the top right, and H on the top left. The bottom side EF is longer than the top side GH. Side EF is labled 36 inches and side EH is labled with the variable x.