durhamsusie
durhamsusie durhamsusie
  • 02-09-2020
  • Mathematics
contestada

T is the midpoint of PQ. PT=3x+8 and TQ = 5x-8. What is PT?

Respuesta :

adefunkeadewole adefunkeadewole
  • 08-09-2020

Answer:

PT = 32

Step-by-step explanation:

From the question, we are told that:

T is the midpoint of PQ

This means:

PT = TQ

PT=3x+8 and TQ = 5x-8

Step 1

We solve for x

3x + 8 = 5x - 8

Collect like terms

8 + 8 = 5x - 3x

16 = 2x

x = 16/2

x = 8

Step 2

We can solve for PT now

PT=3x+8

x = 8

PT = 3×8 + 8

PT = 24 + 8

PT = 32

Therefore, PT = 32

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