K is the midpoint of JL. JK=5x and KL=3x+2. Find JK, KL, and JL

K is the midpoint of JL. JK=5x and KL=3x+2. Find JK, KL, and JL
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1 Answer

Draw the segment JL, place k at the midpoint. This will make it easier to follow my explanation.

If K is the midpoint of  JL;

JK = KL, so;

5x = 3x + 2

subtract 3x from both sides:

2x = 2

divide both sides by 2:

x = 2/2 = 1

JK = 5x =  5

KL = 3x + 2 = 3 + 2 = 5

JL = JK + KL = 5 + 5 = 10
by Level 6 User (23.1k points)

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