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

Mathematics

1 answer:

Karolina [17]2 years ago

8 0

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

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

You might be interested in

Each month, the census bureau mails survey forms to 250,000 households asking questions about the people living in the household

allsm [11]

Answer:

Option D is correct. All US households are among the population of interest.

Step-by-step explanation:

The Census bureau is a national body in the U.S. and they do the survey of 250000 different households monthly. The surveys go out to all corners of the U.S. depending on which part of the nation is doing the survey next.

It shows that the entire U.S. population is of interest to the census bureau.

5 0

2 years ago

If SDE ~ SWT, find WT.

faust18 [17]

Formula used: 40+x = 4x-3 x is used for ET