Andrew is using three pieces of scrap wood to build a wall shelf in his bathroom. The shelf will be shaped like a triangle, and the pieces of scrap wood measure 12 inches, 15 inches and 9 inches long. Will the shelf be shaped like a right triangle? Why or why not? A. Yes; 9² + 15² = 12²
B. Yes; 9² + 12² = 15²
C. No; 9² + 12² ≠ 15²
D. No; 15² + 12² ≠ 9²

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

Find the multiplicative inverse of 8-12i