Question

if fj = 2w - 41 and hj = 3w - 70, find fj in parallelogram fghi.

Explanation:

Step1: Set segments equal (parallelogram diagonals bisect)

$2w - 41 = 3w - 70$

Step2: Solve for $w$

$70 - 41 = 3w - 2w$
$w = 29$

Step3: Substitute $w$ into FJ formula

$FJ = 2(29) - 41$

Answer:

$7$