Question

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)

Answer 1

22

Explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

`5x + 2 = 7x - 6`

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

`5x - 7x = - 2 - 6`

`-2x = -8`

Divide both sides by -2

`x = 4`

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.