Question

PLEASE HELP !!!!

Using the segment addition postulate, find the value of x.

JK = 3x - 4
KL = 5x + 6
JL = 9x - 8


A. 4
b. 10
c. 18
d. 2

Answer 1

Answer: 10

==============================================

Work Shown:

JK + KL = JL

(3x-4) + (5x+6) = 9x-8

(3x+5x) + (-4+6) = 9x-8

8x+2 = 9x-8

8x-9x = -8-2

-x = -10

x = 10

---------------------------------------

Check:

• JK = 3x - 4 = 3(10)-4 = 26
• KL = 5x + 6 = 5(10) + 6 = 56
• JL = 9x - 8 = 9(10) - 8 = 82

JK + KL = 26 + 56 = 82 = JL

Therefore, the answer is confirmed.