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zimovet [89]
3 years ago
15

Find the value of x. Please help! Thanks.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

\huge\boxed{x=\sqrt{30}}

Step-by-step explanation:

ΔABC and ΔBDC are similar (AAA).

Therefore the corresponding sides are in proportion:

\dfrac{AC}{BC}=\dfrac{BC}{CD}

substitute

AC=7+3=10\\{BC}=x\\CD=3

\dfrac{10}{x}=\dfrac{x}{3}           <em>cross multiply</em>

<em />(10)(3)=(x)(x)\\\\30=x^2\\\\x^2=30\to x=\sqrt{30}<em />

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