Question

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?

QR=
(Simplify your answer.)

Answer 1

QR = 11

Explanation:

P-Q-R-S

PQ = RS

PS = 23

PR = 17

so RS = PS - PR = 23 - 17 = 6

RS = PQ = 6

QR = PS - (RS + PQ) = 23 - (6 + 6) = 23 - 12 = 11