Question

1. if jklm is a rectangle, the diagonals jl and mk intersect at point n. given that jl = 2x + 5 and mk = 7x - 40, which equation represents the correct relationship between the diagonals?

Explanation:

Step1: Recall rectangle diagonal property

Diagonals of a rectangle are equal.

Step2: Set diagonals equal

$JL = MK$ so $2x + 5 = 7x - 40$

Step3: Solve for x

Subtract $2x$: $5 = 5x - 40$; add 40: $45 = 5x$; divide by 5: $x = 9$

Answer:

9