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

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? 3 4 6 12

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? 3 4 6 12

Answer

Explanation:

Step1: Set up equation

Since $FH = FG+GH$ and $FH = 18$, $FG = 4x$, $GH=2x$, we have $4x + 2x=18$.

Step2: Combine like - terms

Combining the left - hand side gives $6x = 18$.

Step3: Solve for x

Dividing both sides by 6, we get $x=\frac{18}{6}=3$.

Answer:

3