Question

E is the midpoint of DF. IF DE = x + 5 and DF = 3x + 2, what is DF?

X + 5
E
3x + 2
Simplify your answer and write it as a proper fraction, mixed number, or integer
Submit

Answer 1

13

Explanation:

x+5=3x+2

5=2x+2

3=2x

x=1.5

1.5+5=6.5

6.5 is half of DF, DF=13

Answer 2

13

Explanation:

If E is the midpoint, Then DE = FE

=> x+5 = 3x+2

=> 3x-x = 5-2

=> 2x = 3

=> x = 3/2

Now DF:

=> 3/2 + 5 + 3(3/2)+2

=> (3+10)/2 + (9+4)/2

=> (13+13)/2

=> 26/2

=> 13