37.7k views
3 votes
Suppose M is the midpoint of FG. Find the missing measure.
FM= 8a+1, FG = 42

1 Answer

3 votes

Answer:

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!

User Vixed
by
8.6k points

Related questions

asked Sep 18, 2024 3.2k views
Shaji asked Sep 18, 2024
by Shaji
7.3k points
1 answer
2 votes
3.2k views
1 answer
2 votes
101k views
asked Apr 3, 2024 112k views
Jensgram asked Apr 3, 2024
by Jensgram
8.2k points
1 answer
1 vote
112k views