2 years ago

Simplify. 43 – 2 A 10 B 41 C 62 D 79

Mathematics

1 answer:

Zarrin [17]2 years ago

8 0

the correct answer is, B.

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Given the diagram below with line DE║ line AC. Find BC.

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Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

$\frac{BD}{DA} = \frac {BE}{EC} \\\\\therefore \frac{4}{8} = \frac {BE}{9} \\\\\therefore \frac{1}{2} = \frac {BE}{9} \\\\\therefore BE = \frac{9}{2} \\\\\therefore BE = 4.5\\\because BC = BE + EC \\\therefore BC = 4.5 + 9\\\huge \red {\boxed {\therefore BC = 13.5}} \\$

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Step-by-step explanation:

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