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.

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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.

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