Use the number line below, where , , and . a. What is the value of y? b. Find RS and ST. R S T a. What is the value of y? y 4 (Type an integer or a decimal.) b. Find RS and ST. RS 4.2 (Type an integer or a decimal.)

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

(substitution)

Solve for y

Combine like terms

Subtract 9 from both sides

Divide both sides by 13

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26