Question

What is ED? I've been trying to solve this for a while and I just can't figure anything out.

Answer 1

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:

$\frac{2x + 4}{x + 4} = \frac{9}{6}$

We cross multiply to get:

$6(2x + 4) = 9(x + 4)$

We expand to get:

$12x + 24 = 9x + 36$

Group similar terms to get:

$12x - 9x = 36 - 24$

Combine the similar terms to get:

$3x = 12$

Divide through by 3 to get:

$x = \frac{12}{3}$

This will simplify to:

$x = 4$

Therefore ED=2*4+4=8+4=12