If pr = 40, what are pq and qr?

the image consists of a segment pr and point q is between points p and r. measure of segment pq is 5x-2 and that of segment qr is x+12.

a. pq = 8, qr = 17
b. pq = 23, qr = 17
c. pq = 27, qr = 13
d. pq = 19, qr = 21

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

can you complete your sentence? i could !