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Find the value of x.
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Find the value of x.

Find the value of x.-example-1
User Andrew Dalke
by
8.5k points

1 Answer

2 votes

Answer:


\huge\boxed{y=√(55)}

Explanation:

ΔADC and ΔDBC are similar (AAA)

Therefore the cooresponging sides are in proportion:


(AC)/(CD)=(CD)/(BC)

Substitute:


AC=6+5=11\\BC=5\\CD=y


(11)/(y)=(y)/(5) cross multiply


(11)(5)=(y)(y)\\\\55=y^2\to y=√(55)

User Metodij Zdravkin
by
8.3k points
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