Suppose q is the midpoint of line segment pr, pq = x + 10, and qr = 4x - 2

what is the value of pr?
a. 4
b. 8
c. 14
d. 28

The value of PR is 28.

PQ = x + 10

QR = 4x - 2

To solve the question, we'll equate both equations which will be:

PQ = QR.

x + 10 = 4x - 2

Collect like terms

4x - x = 10 + 2.

3x = 12

x = 12/3

x = 4

Therefore,

PQ = x + 10 = 4 + 10 = 14

QR = 4x - 2 = 4(4) - 2 = 16 - 2 = 14

Therefore, PR = 14 + 14 = 28

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answer and step by step in the attachment

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.