Question

point g lies between points f and h on fh. if the length of fh is 18 units, what is the value of x? 3 4 6 12

Explanation:

Step1: Use segment addition postulate

Since \(FG + GH=FH\), and \(FG = 4x\), \(GH=2x\), \(FH = 18\). So \(4x+2x=18\).

Step2: Simplify the equation

Combine like - terms: \(6x = 18\).

Step3: Solve for \(x\)

Divide both sides by 6: \(x=\frac{18}{6}=3\).

Answer:

3