Question

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

PT = 4x + 5 and TQ = 8x-7

Answer 1

17

Explanation:

since T is mid point of PQ

PT=TQ

`4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 / 4 \\ x = 3 \\`

so

`pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17`

Answer 2

PT = 17

Explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17