Question

2/2 rectangles, rhombus, squares practice day
solve for x, then solve for mk.

1. if jklm is a rectangle, ( jl = 2x + 5 ), and ( mk = 7x - 40 ), find mk.

( x = )
( mk = )

Explanation:

Step1: Set diagonals equal (rectangle property)

$2x + 5 = 7x - 40$

Step2: Isolate x terms

$5 + 40 = 7x - 2x$
$45 = 5x$

Step3: Solve for x

$x = \frac{45}{5} = 9$

Step4: Substitute x into MK formula

$MK = 7(9) - 40$
$MK = 63 - 40$

Answer:

$x = 9$
$MK = 23$