Question

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.)

Answer 1

• y = 6
• RS = 35
• ST = 32

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