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: Set up the equation

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

Step2: Simplify the left - hand side of the equation

Combine like terms: \(4x + 2x=(4 + 2)x=6x\). The equation becomes \(6x=18\).

Step3: Solve for \(x\)

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

Answer:

\(x = 3\), so the answer is \(3\).