Question

gh bisects lm at k. lk = 5x + 2 and lm = 64. find x. (hint: because gh bisects lm at k, lk and km are congruent segments.)

Explanation:

Step1: Apply midpoint property

$2 \times LK = LM$

Step2: Substitute values

$2(5x + 2) = 64$

Step3: Simplify equation

$5x + 2 = 32$

Step4: Solve for x

$5x = 30 \implies x = 6$

Answer:

C. x=6