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.)

PT=30 units

Step-by-step explanation:

Given that:

Line PQ which has a mid point at T.

and

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

Putting value of in PT above: