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Misha Larkins [42]
3 years ago
8

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

Answer:

Segment BF = 16 is true.

Step-by-step explanation:

Since, DE is parallel to BC, so DE will divide AB and AC proportionally.

Hence,

\frac{AE}{EC}  = \frac{AD}{DB}

⇒  \frac{12}{18}  = \frac{6}{DB} 

{Since, given that AE = 12, EC = 18 and AD = 6}

⇒ BD = 9.

Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.

Hence, \frac{CE}{AE}  = \frac{FC}{BF}

⇒ \frac{18}{12}  = \frac{24}{BF}   

{Since, given that AE = 12, EC = 18 and FC= 24}

⇒ BF = 16.

Therefore, segment BF = 16 is true. (Answer)

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16 - x = 27
x = -11



16 - x = 27

16 = 27 + x

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3 years ago
Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

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To find:

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Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

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B=2\times \dfrac{29}{3}

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Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

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4 0
2 years ago
There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes
patriot [66]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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52 is 30% of what number
DedPeter [7]
52=100%
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52/x=100%/30%
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Answer 15.6
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