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1 year ago

Which of the following statements is true only if triangles EFI and GFH are similar?

Mathematics

2 answers:

igomit [66]1 year ago

4 0

Answer: Choice B

FH/FI = HG/IE

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Explanation:

We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.

E and G pair up because they are the first letters of EFI and GFH
F and F pair up as they are the second letters
I and H pair up because they are the third letters

This means

E = G
F = F
I = H

Furthermore, it means

EF corresponds to FG
FI corresponds to FH
IE corresponds to GH

Focus on the last two items of the list above. We can then form the proportion

FI/FH = IE/GH

which is the same as

FH/FI = GH/IE

when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say

FH/FI = HG/IE

So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.

Tema [17]1 year ago

4 0

Answer:

Step-by-step explanation:

just took the test

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Answer:

Step-by-step explanation:

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2 years ago

Wilson has a balance of $890 on a credit card with an APR of 18.7%, compounded monthly. About how much will he save in interest

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Answer:

The smallest bag that has enough food to feed his bag for one month

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A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th

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Answer: Rectangular container is preferred to minimize the costs and there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

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Number of candles in a rectangular container = 45

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Cost of each cylinder container = $16

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In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

$\frac{15}{45}=\frac{1}{3}=\$0.33$

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