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Natali5045456 [20]
2 years ago
14

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

Mathematics
2 answers:
igomit [66]2 years 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]2 years ago
4 0

Answer:

B

Step-by-step explanation:

just took the test

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Answer:

The value of this inheritance is $78,192.28

Step-by-step explanation:

The monthly payments Sara will receive  starting today for next 40 years is $500.

Annual Interest Rate = 7.3%

Monthly Interest Rate = Annual Interest Rate/12

                                    =7.3/12

Monthly Interest Rate = 0.6083%

Present Value = $500 + $500/1.006083 + $500/1.006083^2 + $500/1.006083^3 + ... + $500/1.006083^479

Present Value = $500 * 1.006083 * (1 - (1/1.006083)^480) / 0.006083

Present Value = $500 * 156.39156

Present Value = $78,192.28

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3 0
2 years ago
Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared,
Assoli18 [71]

Answer:

8/35 de litro

Step-by-step explanation:

De la pregunta, sabemos que se necesitan 4/7 de un litro para pintar un metro cuadrado de pared.

Ahora necesitamos saber la cantidad de pintura necesaria para pintar 2/5 de un metro cuadrado.

Digamos que la cantidad necesaria es x

Ahora hagamos una relación matemática;

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cuadrados por lo tanto, x * 1 = 4/7 * 2/5 = 8/35

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astraxan [27]
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Quantity of dolls and horses are 10 and 5 respectively .

Selling prices of dolls and horses are $7 and $ 9 respectively .

And the commission on them are $2 and $ 3 respectively .

So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80

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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

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