Answer:
B. PQ = 23, QR = 17
Step-by-step explanation:
Given,
In segment PR,
Q is the point between points P and R,
That is, PR = PQ + QR,
We have, PR = 40 unit, PQ = 5x - 2 and QR = x + 12,
By substituting the values,
40 = 5x - 2 + x + 12
40 = 6x + 10
30 = 6x
⇒ x = 5
Hence, PQ = 5(5) - 2 = 25 - 2 = 23 unit,
And, QR = 5 + 12 = 17 unit
OPTION B is correct