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siniylev [52]
3 years ago
5

What is the value of x?

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

\triangle ABD\sim\triangle CAD\ \text{therefore the sides of triangles are in proportion}\\\\\dfrac{x}{12}=\dfrac{12}{27}\ \ \ |cross\ multiply\\\\27x=144\ \ \ |:27\\\\x=\dfrac{144}{27}\\\\x=\dfrac{16}{3}\\\\\boxed{\text{Answer:}\ B.\ \dfrac{16}{3}}

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Answer:

3rd option

Step-by-step explanation:

Since the centre of dilatation is at the origin then multiply the coordinates by \frac{1}{3}

K (- 3, 9 ) → K' (- 3(\frac{1}{3} ), 9(\frac{1}{3} ) ) → K' (- 1, 3 )

L (- 9, 0 ) → L' (- 9(\frac{1}{3} ), 0 (\frac{1}{3} ) ) → L' (- 3, 0 )

M (2, - 8 ) → M' (2 (\frac{1}{3} ), - 8 (\frac{1}{3} ) ) → M' ( \frac{2}{3} , - \frac{8}{3} )

N (6, 4 ) → N' (6 (\frac{1}{3} ) , 4 (\frac{1}{3} ) ) → N' ( 2, \frac{4}{3} )

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8 0
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aev [14]
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