Question

if ef = 7, fg = 3x, and eg = 2x + 13, what is fg? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $EG=EF + FG$, we substitute the given expressions: $2x + 13=7 + 3x$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $13=7 + 3x-2x$. Then simplify to get $13 = 7+x$. Subtract 7 from both sides: $x=13 - 7=6$.

Step3: Find the value of FG

Since $FG = 3x$ and $x = 6$, then $FG=3\times6 = 18$.

Answer:

18