Midpoint 5

FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value.

Result

m =  58

Solution:

x=∣FG∣ ∣FM∣=∣MG∣   3⋅ x−4=5⋅ x−26  2x=22  x=11  m=2⋅ (3⋅ x−4)=2⋅ (3⋅ 11−4)=58x=|FG| \ \\ |FM|=|MG| \ \\ \ \\ \ \\ 3 \cdot \ x-4=5 \cdot \ x-26 \ \\ \ \\ 2x=22 \ \\ \ \\ x=11 \ \\ \ \\ m=2 \cdot \ (3 \cdot \ x-4)=2 \cdot \ (3 \cdot \ 11-4)=58

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