Question

segments and angles using a segments midpoint and endpoint to locate the... the point g is the midpoint of fh. find the location of f. location of f:

Explanation:

Step1: Recall mid - point formula

The mid - point formula for a one - dimensional number line is $G=\frac{F + H}{2}$, where $G$ is the mid - point, $F$ is one endpoint, and $H$ is the other endpoint.

Step2: Rearrange the formula to solve for $F$

Multiply both sides of the equation $G=\frac{F + H}{2}$ by 2 to get $2G=F + H$. Then, subtract $H$ from both sides: $F = 2G−H$.

Step3: Substitute the given values

We know that $G=-4$ and $H = 11$. Substitute these values into the formula $F = 2G−H$. So $F=2\times(-4)-11$.

Step4: Calculate the value of $F$

First, calculate $2\times(-4)=-8$. Then, $F=-8 - 11=-19$.

Answer:

$-19$