Question

suppose m is the mid - point of $overline{fg}$. find the missing measure.
$fg = 11x - 15.6$, $mg = 10.9$
$x=$

Explanation:

Step1: Recall mid - point property

Since $M$ is the mid - point of $\overline{FG}$, then $FG = 2MG$.

Step2: Substitute given values

We know that $FG=11x - 15.6$ and $MG = 10.9$. So, $11x-15.6=2\times10.9$.

Step3: Simplify the right - hand side

$2\times10.9 = 21.8$, so the equation becomes $11x-15.6=21.8$.

Step4: Add 15.6 to both sides

$11x=21.8 + 15.6$.
$11x=37.4$.

Step5: Solve for $x$

$x=\frac{37.4}{11}$.
$x = 3.4$.

Answer:

$3.4$