Question

Suppose Q is the midpoint of PR. Use the information to find the missing value.

11) PQ = 3x + 14 and QR = 7x - 10 x =

Answer 1

x = 6

Explanation:

Given that PQ = 3x + 14, QR = 7x - 10, and Q is the midpoint of PR, it means Q is equidistant from both endpoints of P and Q. In order words, the distance from P to Q is the same as the distance from Q to R.

Therefore, PQ = QR. Which is:

`3x + 14 = 7x - 10`

Solve for x. Collect like terms

`3x -7x = - 14 - 10`

`-4x = -24`

Divide both sides by -4x

`x = 6`