Question

Given D, E, and Fare collinear with E between D and F. DE = 7 EF = 3x DF = 16 E F What is the value of x? What is the length of EF?

Answer 1

Problem

Given D, E, and Fare collinear with E between D and F. DE = 7 EF = 3x DF = 16 E F What is the value of x? What is the length of EF?​

Solution

For this case we know that DE=7 , EF=3x , DF=16

We also know that E is between D and F

So we have the following equation:

DE+ EF= DF

Replacing the info given we have:

7 + 3x =16

And we can solve for x and we got:

3x= 9

And dividing by 3 we got:

x= 9/3= 3

And finally we can calculate the lenght of Ef like this:

EF= 3x= 3*3= 9