Question

If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.

Answer 1

x = 6

Explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

= 36

=> x = 36/6 = 6