# Given that triangle N M L is similar to triangle S R Q, what is x?

A. x = 18

B. x = 14.2

C. x = 40.5

D. x = 24 Relevance

A) 18. Note that MO and RT are in a 3:2 ratio (24/16 = 3/2), so use a direct variation.

24/16 = 27/x

As I said before, 24/16 = 3/2, so from there just multiply 2 by 9.

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• Ans. A

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• Notice:

RT = 18 cm

MO = 24 cm

So measurements in SRQ are 2/3 of NML.

18/24 = 2/3

Next, ML is 27 cm and 2/3 of that is 18.

27 * 2/3

= 27/3 * 2

= 9 * 2

= 18 cm

A. x = 18

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• A. x = 18

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• 16/24 = x/27

2/3 = x/27

2(27) = 3x

54 = 3x

x = 18

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• triangle N M L is similar to triangle S R Q

--->

24/16 = 27/x

solve for x

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• 24 is to 16 as 27 is to X

24/16 = 27/X Cross multiply

24X = 16(27)

24X = 432

X = 18

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• A. x = 18

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