Step-by-step explanation:
If K is the midpoint of JL, then JK and KL will be congruent to each other because a midpoint divides a line into two congruent segments.
JK ≅ KL
Now, let's add in the expressions.
2x + 4 = 4x - 8
-2x + 4 = -8
-2x = -12
x = 6
So, the value of x is equal to 6. Since JK is congruent to KL, then we can plug in x for one of the equations and multiply that answer by 2 so we can find the measurement of JL.
JK = 2(6) + 4
JK = 12 + 4
JK = 16
16 * 2 = 32
So, the measurement of JL is equal to 32.
