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Maurinko [17]
3 years ago
5

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

Mathematics
1 answer:
UNO [17]3 years ago
6 0

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

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