The triangles below are similar. What is the value of x ?

Answer:
Step-by-step explanation:
Since triangle ADE and triangle ABC are similar, that means their sides are proportional, thus we get the equation
[tex]\frac{AD}{AB} =\frac{DE}{BC}[/tex]
[tex]\frac{2}{6} = \frac{x}{12}[/tex]
[tex]6x = 24\\x=4[/tex]
Thus the value of x is 4