Question

f is the midpoint of $overline{eg}$. if $ef = x - 1$ and $fg = 2x - 7$, what is $ef?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since F is the mid - point of $\overline{EG}$, then $EF = FG$. So we set up the equation $x - 1=2x - 7$.

Step2: Solve the equation for x

Subtract x from both sides: $-1=x - 7$. Then add 7 to both sides: $x = 6$.

Step3: Find the value of EF

Substitute $x = 6$ into the expression for EF. Since $EF=x - 1$, then $EF=6 - 1=5$.

Answer:

5