Question

Use the figure to the right to find the value of PT. PT=3x+1 and TQ=5x−7 Image shows that all sections are equal and T is the midpoint

Answer 1

13

Explanation:

If T is the midpoint PT =TQ

PT = TQ

3x+1 =5x−7

Subtract 3x from each side

3x+1 -3x=5x-3x−7

1 = 2x-7

Add 7 to each side

1+7 = 2x-7+7

8 = 2x

Divide by 2

8/2 = 2x/2

4 =x

We want to find PT

PT=3x+1

= 3*4+1

= 12+1

= 13