167k views
5 votes
Use the figure to the right to find the value of PT. T is the midpoint of ray PQ

PT=5x+9 and TQ=7x-5

Use the figure to the right to find the value of PT. T is the midpoint of ray PQ PT-example-1
User Irvin Lim
by
8.0k points

1 Answer

1 vote
Since T is the mid point of PQ, the distance from P to T and the distance from T to Q must be equal. Therefore all we need to do is set the two equations equal to each other and solve for x. 5x + 9 = 7x - 5 5x = 7x - 5 - 9 5x = 7x -14 -2x = -14 x = 7 Then plug in x = 7 to find PT : PT = 5(7) + 9, PT = 35+9 = 44
User Nand
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.