Please help me as soon as possible

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer: x = 10

Explanation:

Proof that triangle CAB ~ EAD

Angle CAB = Angle EAD (same angle)

Angle ABC = Angle ADE = 90 degree

Thus, Triangle ABC ~ EAD (AA)

And CB/ED = 8/16 = 1/2

Which mean CB = (1/2)ED

That mean AB/AD also equal 1/2
Where AB = 1/2(AD)

We get:
x = 1/2(10 + x)
x = 5 + (1/2)x
x - (1/2)x = 5
(1/2)x = 5
x = 10

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