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Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)

Respuesta :

sqdancefan

Answer:

  • y = 6
  • RS = 35
  • ST = 32

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

Setup

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Solution

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

  • y = 6
  • RS = 35
  • ST = 32

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