Answer: 62
Explanation:
K is the midpoint of segment JL
That means the smaller pieces JK and KL are the same length.
JK = KL
9x-5 = 7x+3
9x-7x = 3+5
2x = 8
x = 8/2
x = 4
This x value leads us to:
- JK = 9x-5 = 9*4-5 = 36-5 = 31
- KL = 7x+3 = 7*4+3 = 28+3 = 31
Both smaller pieces are 31 units each, which helps confirm we have the correct x value.
Therefore, JL = JK+KL = 31+31 = 62
