Question

Use the number line below, where RS

I need help with this please

Answer 1

• y = 6
• RS = 39
• ST = 38

Explanation:

You have segment RT of length 77 with point S on it dividing it into segments RS=6y+3 and ST=5y+8. You want to know the value of y and the lengths of segments RS and ST.

Segment sum theorem

The segment sum theorem tells you the whole is the sum of the parts:

RS +ST = RT

(6y +3) +(5y +8) = 77 . . . . . use given values

Solution

11y +11 = 77 . . . . . . . . . . . . collect terms

y +1 = 7 . . . . . . . . . . . . . . . divide by 11

y = 6 . . . . . . . . . . . . . . . . . subtract 1

The lengths of the parts are ...

RS = 6y +3 = 6(6) +3 = 39

ST = 5y +8 = 5(6) +8 = 38