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.

Correct answer:

m =  58

Step-by-step explanation:

$$\begin{gathered} x=\mathrm{\mid }FG\mathrm{\mid } \\ \mathrm{\mid }FM\mathrm{\mid }=\mathrm{\mid }MG\mathrm{\mid } \\ 3\cdot x-4=5\cdot x-26 \\ 2x=22 \\ x=11 \\ m=2\cdot (3\cdot x-4)=2\cdot (3\cdot 11-4)=58 \end{gathered}$$

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