Question

K is the midpoint of JL. Given that JK=2x+7 and KL=4x+1, find x, JK, KL, and JL.

Answer 1

If K is midpoint of JL then JK = 0.5JL

JL = 4x - 2; JK = 7

The equation:
0.5(4x - 2) = 7
2x - 1 = 7      |add 1 to both sides
2x = 8        |divide both sides by 2
x = 4

JL = 4(4) - 2 = 16 - 2 = 14

KL = JK = 7

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