Question

Jack and Jim are playing tug of war. The ribbon at point B is tied at the midpoint of the rope. The length of AB can be represented x + 15, and the length of BC can be represented by 2(x - 5). What is the length of AB? (GM.2)​

please help!!!!

Answer 1

`AB = 40`

Explanation:

Given

`AB =x + 15`

`BC = 2(x - 5)`

Required

Find AB

Since B is the midpoint the:

`AB = BC`

`x + 15 = 2(x - 5)`

`x + 15 = 2x - 10`

Collect Like Terms

`2x -x = 15 +10`

`x = 25`

Substitute 25 for x in
`AB =x + 15`

`AB = 25+15`

`AB = 40`