20.2k views
1 vote
4. Given: Point K is between Points J and L. KL = 9x + 2, KJ = 5x - 8
and JL = 12x. Find KL.

User Chrskly
by
3.2k points

2 Answers

5 votes

Answer:

KL = 29

Explanation:

Given that K is between J and L , then

JK + KL = JL , substitute values

5x - 8 + 9x + 2 = 12x , that is

14x - 6 = 12x ( subtract 12x from both sides )

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

KL = 9x + 2 = 9(3) + 2 = 27 + 2 = 29

User Jesus Dimrix
by
3.8k points
3 votes

Answer:

J____K___L

JL = KJ + KL

12x = (5x - 8) + ( 9x +2)

12x = 14x - 6

14x - 12x = 6

2x = 6

x = 6/2

x = 3

KL = 9x + 2 = 9(3) +2 = 27 + 2 = 29

I hope I helped you^_^

User McLawrence
by
3.5k points