Question

If JKLM is a rectangle, JL=2x+5, and MK=7x+40, find MK

Answer 1

Answer: 5

Explanation:

JK = MK

2x + 5 = 7x - 40

2x - 7x = -40 -5

-5x= -45

x = 9

Replacing x with 9 in MK

7(9) - 40

45 - 40

5

Answer 2

MK = 23

JKLM being a rectangle, the diagonals (JL and MK) are equal—therefore,

2x+5 = 7x-40
5 = 5x-40
45 = 5x
x = 9

MK = 7(9)-40
MK = 63-40
MK = 23