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?
○ 3
○ 4
○ 6
○ 12

Explanation:

Step1: Set up length equation

Since $G$ is on $\overline{FH}$, $FH = FG + GH$. Substitute the given expressions:
$$4x + 2x = 18$$

Step2: Combine like terms

Add the $x$ terms together:
$$6x = 18$$

Step3: Solve for $x$

Divide both sides by 6:
$$x = \frac{18}{6} = 3$$

Answer:

3 (Option A)