Question

If QR=x+29 and PS=x–16, what is the value of x?

Answer 1

61

Explanation:

PS is a midsegment of the triangle, so is half the length of the parallel base segment.

2PS = QR

2(x -16) = x +29 . . . . . substitute given expressions

2x -32 = x +29 . . . . . eliminate parentheses

x = 61 . . . . . . . . . . . . add 32-x