Question

Point K is on line segment \overline{JL} JL . Given JK=5x+7,JK=5x+7, JL=2x+8,JL=2x+8, and KL=4,KL=4, determine the numerical length of \overline{JL}. JL .

Answer 1

JL = 6 units

Explanation:

It is given that,

K lies on line segment JL.

We have, JK=5x+7,JL=2x+8, and KL=4.

JL = JK + KL

2x+8 = 5x+7 + 4

Taking like terms together.

8-7-4=5x-2x

-3 = 3x

x = -1

Put x = -1 in JL = 2x+8. So,

JL = 2(-1)+8

JL = 6

Hence, the length of JL is 6 units.