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, PT and TQ are both equal segments of line PQ.

PT is given as 5x + 2,

TQ = 7x - 6

Therefore:

`5x + 2 = 7x - 6`

Solve for x

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

`-2x + 2 = -6`

`-2x + 2 - 2 = -6 - 2`

`-2x = -8`

`(-2x)/(-2) = (-8)/(-2)`

`x = 4`

PT =
`5x + 2`

Input the value of x

`PT = 5(4) + 2 = 20 + 2 = 22`