Points​ P, Q,​ R, and S are collinear. Point Q is between P and​ R, R is between Q and​ S, and PQ≅RS. If PS=23 and PR=17, what is the value of​ QR?

Question

Please help! i am very confused and dont know what to do

Answer 1

Let x = length of PQ and of RS

and y = length of QR

Then

2x+y=23

x+y=17

Subtract

x=6

y=11 which is what is the solution