Question

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

PT = 3x + 9 and TQ = 5x -5
PT=(Simplify your answer.)

Answer 1

32

Explanation:

did it, and i was wrong. it gave the right answer that is it. credit to me.

Answer 2

PT=30 units

Explanation:

Given that:

Line PQ which has a mid point at T.

`PT = 3x + 9` and

`TQ = 5x -5`

To find:

PT = ? in simplified terms.

Solution:

First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.

In other words:

If a point B is the mid point of line segment AC, then AB = BC.

Here, the point T is the midpoint of PQ.

i.e. PT = TQ

`3x+9=5x-5\\\Rightarrow 3x-5x=-5-9\\\Rightarrow -2x=-14\\\Rightarrow x=7`

Putting value of
`x` in PT above:

`PT = 3x+9 = 3 * 7 +9 \\\Rightarrow \bold{PT=30\ units}`