Answer:
JL = 118/5
Explanation:
Because K is the midpoint, we know that JK and KL are going to equal each other because of the Segment Addition Postulate.
JK + KL = JL
So we know that JK = 11x-7 and KL = 6x+2
Now, we solve for X.
11x-7 = 6x+2
In order to get X alone, we must get the X's all to one side and the numbers to one side.
11x-7 = 6x+2
+7 +7
11x = 6x + 9
-6x -6x
5x = 9
x = 9/5
Now, we plug X into the equations.
JK = 11x - 7
JK = 11(9/5) - 7
JK = 99/5 - 7
JK = 64/5
KL = 6x + 2
KL = 6(9/5) + 2
KL = 54/5
Now, we add the numbers (fractions, really) together so that we can get the whole value of the line.
64/5 + 54/5 = 118/5