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

Answer Link

Otras preguntas

SAT Help Jack can paint a house in 5 days, and Richard can paint the same house in 7 days. Working together, how long will it take them to finish the job? How d
What is the meaning of Pangaea
what is 20% of $45.00?
What is the meaning of Pangaea
SAT Help Jack can paint a house in 5 days, and Richard can paint the same house in 7 days. Working together, how long will it take them to finish the job? How d
What is 9x^2-24x+ 16
Use the order of operations and the digits 2,4,6 and 8 to create an expression with a value of 2
How did New England's physical geography help the growth of industries?
List the perfect squares between 100 and 500 that are even numbers.
y varies directly as x. if x=5 when y=12 find x when y=30