Question

Can anyone help me with this? Thank you.

Answer 1

14

Explanation:

Given that T is the midpoint of line PQ, segments PT = 3x + 9, and TQ = 8x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

`3x+9=8x-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.

`3x-8x=-9-6`

`-5x=-15`

Divide both sides by -5

`x=3`

Plug in the value of x into the expression, 3x + 5, to find PT.

PT = 3(3) + 5 = 14.