Answer:
JL = 6
Explanation:
First, we can solve for x using the segment addition postulate, which states that if point C is on line segment AB, then AC + CB = AB.
For this problem, we can construct the equation:
JK + KL = JL
And we can use this to solve for x by plugging in the given segment lengths:
(5x + 7) + 4 = 2x + 8
↓ subtracting 2x from both sides
3x + 11 = 8
↓ subtracting 11 from both sides
3x = -3
↓ dividing both sides by 3
x = -1
Now, we can solve for JL by plugging the x-value into its given length definition:
JL = 2(-1) + 8
JL = 8 - 2
JL = 6