Question

Point K is on line segment JL . Given JK=2x−2, KL=x−9, and JL=2x+8, determine the numerical length of KL.

a) 17
b) 15
c) 13
d) 11

Answer 1

To find the numerical length of segment KL, set up an equation using the lengths of segments JK, KL, and JL.

Step-by-step explanation:

To determine the numerical length of KL, we need to find the value of x and substitute it into the expression for KL, which is x-9.

Given that JL=2x+8 and JK=2x-2, we can set up an equation:

JL = JK + KL

2x+8 = 2x-2 + KL

Cancel out the 2x terms:

8 = -2 + KL

Combine like terms:

KL = 10

Therefore, the numerical length of KL is 10. Option d) 11 is incorrect.