Respuesta :

The answer is b, 2 2/3.

We set up a proportion to solve this.  We compare the segments from each side to each other:

2/3 = x/4

Cross multiply:

3*x = 2*4
3x=8

Divide both sides by 3:
3x/3 = 8/3
x = 2 2/3

Answer:

2 2/3

Step-by-step explanation:

AB

BD

=  

AC

CE

3 /2  =  4 /CE  → CE =  8 /3  = 2  2 /3