MG=7x-15,

Length of lines MG = 7x-15 and FG = 33 Point M is the midpoint of FG. Find the unknown x.

Correct answer:

x =  4.5

Step-by-step explanation:

$$\begin{gathered} FG=33 \\ MG=7x-15 \\ FM+MG=FG \\ FM=MG=FG\mathrm{/}2 \\ 7\cdot x-15=FG\mathrm{/}2 \\ 7\cdot x-15=33\mathrm{/}2 \\ 14x=63 \\ x={\displaystyle \frac{9}{2}}=4.5=4.5 \end{gathered}$$

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