Question

Use the number line​ below, where RS=5y+5​, ST=2y+5, and RT=52. a. What is the value of​ y? b. Find RS and ST.

Answer 1

y = 6, RS = 35 and ST = 17

Explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.