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△BQH∼△SFN
What is FN ?

△BQH∼△SFN What is FN ?-example-1
User Bick
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2 Answers

3 votes

Answer:

23.4 in

Explanation:

The only side of SFN we know the measurement of is FS, which is 18.2. We see from the similarity statement that FS corresponds to QB, which is 14. This gives us the ratio

14/18.2.

From the similarity statement, we see that FN corresponds to QH; this gives us the ratio

18/x

Together this gives us the proportion

14/18.2 = 18/x

Cross multiplying gives us

14(x) = 18.2(18)

14x = 327.6

Divide each side by 14:

14x/14 = 327.6/14

x = 23.4

User Burnersk
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7.4k points
3 votes
17/18.2=.934 x/18=.934 18*.934 = 16.812
Or 16.81 or 16.8 simplified
User Robbert
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