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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

Respuesta :

B is the answer to ur question

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

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