PQ = 2x+1 and QR = 5x-44 find PQ

Answer 1

Assuming line segment PQ is congruent to line segment QR (Q is the midpoint), then we can set the two algebraic expressions equal to each other and then solve for x:

2x + 1 = 5x - 44

-3x = -45

x = 15

To find PQ, substitute 15 for x in the expression for its length:

2x + 1

2(15) + 1 = 31

Hope this was helpful.