Respuesta :

Here, as the sides are equal, middle line would be exact half then the longer (bottom) side of the triangle. 
48 = 2(3x)
6x = 48
x = 48/6
x = 8

In short, Your Answer would be Option D

Hope this helps!
Since the triangle ADC is an enlargement of triangle AEB, 48 divided by the enlargement factor will give you 3x.
The enlargement factor is:
= 60/30
= 2

Therefore:

3x = 48/2

3x = 24

3x/3 = 24/3

x = 8