shawnreid807 shawnreid807
  • 29-08-2022
  • Mathematics
contestada

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

Respuesta :

Katonn Katonn
  • 29-08-2022

Answer:

FM & MG = 21

Step-by-step explanation:

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

[tex]8a+1+8a+1=42\\16a+2=42\\16a=40\\a=\frac{40}{16}\\ a=\frac{5}{2}[/tex]

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

Hope that helps!

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