Question

point g lies between points f and h on $overline{fh}$. if the length of fh is 18 units, what is the value of x? 4x 2x

Explanation:

Step1: Set up the equation

Since point G lies between F and H, $FH=FG + GH$. Given $FG = 4x$, $GH=2x$ and $FH = 18$, we have the equation $4x+2x=18$.

Step2: Combine like - terms

Combining the left - hand side of the equation, $4x + 2x=6x$. So the equation becomes $6x=18$.

Step3: Solve for x

Divide both sides of the equation $6x = 18$ by 6. We get $x=\frac{18}{6}=3$.

Answer:

3