Question

true or false: if point c on $overline{af}$ is located such that the ratio of $ac$ to $cf$ is $2:3$, then point c is located $\frac{2}{5}$ of the distance from point a to point f.

Explanation:

Step1: Understand ratio meaning

The ratio of $AC$ to $CF$ is $2:3$. So if we consider the line - segment $\overline{AF}$, the total number of parts is $2 + 3=5$ parts.

Step2: Determine position of point C

Point $C$ divides $\overline{AF}$ into two parts where the part from $A$ to $C$ is $2$ out of the total $5$ parts of $\overline{AF}$. So point $C$ is located $\frac{2}{5}$ of the distance from point $A$ to point $F$.

Answer:

True