jadelynrose jadelynrose
  • 21-08-2020
  • Mathematics
contestada

Use the number line below, where RS = 7y +5, ST = 2y + 7, and RT = 14y - 28.
a. What is the value of y?
b. Find RS, ST, and RT.

Respuesta :

mhanifa
mhanifa mhanifa
  • 21-08-2020

Answer:

a. 8

b. 61, 23, 84

Step-by-step explanation:

As we can see, point S is between points R and T, therefore:

  • RS + ST = RT
  • 7y + 5 + 2y + 7 = 14y - 28
  • 9y + 12 = 14y - 28
  • 14y - 9y = 12 + 28
  • 5y = 40
  • y = 40/5
  • y = 8

------------

  • RS = 7y+5 = 61
  • ST = 2y + 7= 23
  • RT = 14y - 28 = 84
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