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2 years ago

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

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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]2 years ago

4 0

Answer:

Step-by-step explanation:

just took the test

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One month Ashley rented 2 movies and 5 video games for a total of $33. The next month she rented 8 movies and 3 video games for

Ray Of Light [21]

To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.

The first equation is 2x+5y=33

The second equation is 8x+3y=30

Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.

So to cancel the X you multiply the equation 2x+5y=33 by -4.

That gives you -8x-20y= -132

Then you set up the two equations and add them together.

(-8x-20y= -132) + (8x+3y=30)

That gives you -17y = -102

So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5

Hope this helped and if you get confused or have questions please ask :)

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3 years ago

What is the product of 1/2 x - 1/4 and 5x^2 - 2x + 6? Write your answer in standard form?

marta [7]

Answer:

for a. you will first solve 5x²-2x+6 with

x=-b ± ✓b²-4ac

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then put the two answers you will get into a bracket then multiply it with 1/2x - 1\4

then write in form of dis :- A ×10^n

Step-by-step explanation:

b. the two products are not the same

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2 years ago

What is ∛125 i am braindead help me brainly :(

salantis [7]

Answer:

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3 years ago

Read 2 more answers

Write the equation 5x - 3y = 15 in slope-intercept form. 5x____ - 3y = ____ + 15

Deffense [45]

5x - 3y = 15

5x - 5x -3y = - 5x + 15

-3y = -5x + 15

3y = 5x - 15

divide all of them by 3...

y = 5/3 - 5

5 0

3 years ago

What is the formula for the nth term of the given sequence? -17, -8, 1

Citrus2011 [14]

Answer:

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

Step-by-step explanation:

Step(i):-

Given sequence

- 17 , -8 , 1 .......

first term = -17

Second term = - 8

The difference of first two terms

d = - 8 -(-17) = -8+17 = 9

The difference of next two terms

d = 1 - (-8) = 1+8 = 9

∴ The given sequence is in A.P ( Arthimetic progression)

Step(ii):-

The $n^{th}$ term of A.P sequence

$t_{n} = a + ( n-1 ) d$

Given a = - 17 and d = 9

$t_{n} = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26$

Final answer:-

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

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2 years ago