Question

Suppose M is the midpoint of FG. Find the missing measure.
FM= 8a+1, FG = 42

Answer 1

FM & MG = 21

Explanation:

Given that M is the midpoint of FG, that means it splits it into 2 congruent lengths. Therefore if
`FM=8a+1`, then the other half has the same value. I can create a equation now because both of them should add up to 42

`8a+1+8a+1=42\\16a+2=42\\16a=40\\a=(40)/(16)\\ a=(5)/(2)`

Now that I have a, I can plug that in to
`8a+1` to find both values. You should get that both of them are 21.

Hope that helps!