Question

Point K is on line segment JL. Given JK = 2x – 2, KL

– 2, KL = x – 9, and
JL = 2x + 8, determine the numerical length of KL.

Answer 1

KL = 10

Explanation:

JK + KL = JL

2x – 2 + x – 9 = 2x + 8

Combine like terms

3x -11 = 2x+8

Subtract 2x from each side

3x-2x -11 = 2x+8-2x

x-11 = 8

Add 11 to each side

x-11+11 = 8+11

x = 19

KL = x – 9

= 19-9

= 10