Question

1. if eg = 10, and point f is 2/5 of the way between e and g, find the value fg. the drawing is not to scale.

Explanation:

Step1: Determine the fraction of EG that FG represents

Since F is 2/5 of the way from E to G, FG is $1 - \frac{2}{5}=\frac{3}{5}$ of EG.

Step2: Calculate the length of FG

We know EG = 10. So, $FG=\frac{3}{5}\times EG$. Substituting EG = 10, we get $FG=\frac{3}{5}\times10 = 6$.

Answer:

6