Answer:
22
Step-by-step 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:
[tex] 5x + 2 = 7x - 6 [/tex]
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.
[tex] 5x - 7x = - 2 - 6 [/tex]
[tex] -2x = -8 [/tex]
Divide both sides by -2
[tex] x = 4 [/tex]
Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.
