Trapezoid abcd is reflected over the line y = x. what rule shows the input and output of the reflection, and what is the new coordinate of a'? a. (x, y)→(y,−x); a' is at (1, 5) b. (x, y)→(y, x); a' is at (1, −5) c. (x, y)→(−x, y); a' is at (5, 1) d. (x, y)→(−x,−y); a' is at (5, −1)

we are given a trapezoid abcd.

and trapezoid abcd is being reflected over the line y = x.

note: the rule of reflection over the line y = x is (x,y) --> (-x,-y).

according to this rule, each x and y coordinates became opposite in signs of the original given coordinate (x,y).

in the given options , we have option d using same rule (x,y)→(−x,−y).

therefore, correct option would be d option.

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42