raytaygirl
raytaygirl raytaygirl
  • 25-08-2021
  • Mathematics
contestada

Point S is on line segment RT. Given ST = 3x-8, RT = 4x, and RS = 4x-7, determine the numerical length of RT.

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 31-08-2021

Answer:

20.

Step-by-step explanation:

1) according to the condition RT=ST+RS;

2) if RT=4x, ST=3x-8; RS=4x-7, then it is possible to re-write the equation as:

4x=(3x-8)+(4x-7);

3) if to solve this equation, then:

4x=7x-15; ⇔ 3x=15; ⇔ x=5.

4) if x=5, then the length of RT is:

RT=4x=20.

Answer Link

Otras preguntas

What are the thin fibers of the human nervous system called? a. nerves b. brain c. spinal cord d. eye
Writ a word problem that involves finding the volume of a box. Draw the box, solve the problem, and explain how you found your answer. He'll pop
What does 2.75 mean in fraction
There were widespread agrarian societies during the _______ era.
edwin wants to help his family during this difficult time.Which of the following sentences from the story best supports this statement? A: "After pa had been ho
75% of what number is 105
What are the two ways that nitrogen can be removed from the atmosphere?
How did Martin Luther King Jr. Changed the history?
what is 8(x+12)=2(5x+9)
Which group of words in the sentence is a prepositional phrase? A father goose and his goslings flew above the pine trees and then landed in an open field. A.