Answer:
ED=12 units
Step-by-step explanation:
From the diagram triangle EAB is similar to triangle EDC.
The corresponding sides will be proportional.
EA/ED=AB/DC
This implies that:
[tex] \frac{2x + 4}{x + 4} = \frac{9}{6} [/tex]
We cross multiply to get:
[tex]6(2x + 4) = 9(x + 4)[/tex]
We expand to get:
[tex]12x + 24 = 9x + 36[/tex]
Group similar terms to get:
[tex]12x - 9x = 36 - 24[/tex]
Combine the similar terms to get:
[tex]3x = 12[/tex]
Divide through by 3 to get:
[tex]x = \frac{12}{3} [/tex]
This will simplify to:
[tex]x = 4[/tex]
Therefore ED=2*4+4=8+4=12
