SP=2x+3 , and LN=5x−14 . Find SP

Question

Answer 1

the Midsegment Theorem says that SP is half of LM

so, 2x+3=(1/2)(5x-14)

multiply both sides by 2

4x+6=5x-14

doing the arithmetic you get x=20

SP=2x+3

SP=2*20+3

SP=43