Question

Suppose M is the midpoint of line FG. Use the given information to find the missing measure or value.

FM= 5y + 13, MG= 5-3y FG=?

Answer 1

If it is the midpoint, then FG= FM+MG


Also, this means that they are of equal lenght, so

FM=MG
5y + 13= 5-3y
5y+3y=5+13
8y=18
y=
`(18)/(8)`=2.25

which means that the two halves are equal to 5y+13=5*2.25+13=24.25

and FG is double the lenght:

24.25*2=49