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

Step2: Combine like - terms

Combine \(4x\) and \(2x\). We get \(6x=18\).

Step3: Solve for \(x\)

Divide both sides of the equation \(6x = 18\) by \(6\). So \(x=\frac{18}{6}=3\).

Answer:

3