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

================================================

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

You might be interested in

How far should Galileo walk up the inclined plane?

sergejj [24]

Answer:

Step-by-step explanation:

150/x=sin 15

x=150/sin 15 ≈579.56 m

4 0

1 year ago

Every $4,000 spent on cable TV will reach 160 fans while every $2,750 spent on radio ad will reach 125 fans. A stadium has estab

laila [671]

Answer:

Neither of the two advertising options meet the goal.

Step-by-step explanation:

Every $4,000 spent on cable TV will reach 160 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by $\frac{4000 \times 200000}{160} = 5000000$ dollars i.e. $5 million which is greater than the budget of $3 million.

Now, every $2,750 spent on radio ads will reach 125 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by $\frac{2750 \times 200000}{125} = 4500000$ dollars i.e. $4.5 million which is again greater than the budget of $3 million.