Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

use the figure to the right to find the value of PT. T is the midpoint of line segment PQPT=3x+8 and TQ= 5x-6

Use The Figure To The Right To Find The Value Of PT T Is The Midpoint Of Line Segment PQPT3x8 And TQ 5x6 class=

Sagot :

We want to find the length of PT.

From the figure [given T is midpoint of PQ], we can write:

[tex]PT+TQ=PQ[/tex]

We are given expressions for PT and TQ, we know they are equal. Thus, we can equate them and solve for x.

[tex]\begin{gathered} PT=TQ \\ 3x+8=5x-6 \\ 8+6=5x-3x \\ 14=2x \\ x=\frac{14}{2} \\ x=7 \end{gathered}[/tex]

The length of PT is "3x + 8". We know x = 7, so we can figure out the length of PT:

[tex]\begin{gathered} PT=3x+8 \\ PT=3(7)+8 \\ PT=21+8 \\ PT=29 \end{gathered}[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.