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ella [17]
2 years ago
10

Are the two triangles congruent?

Mathematics
1 answer:
Katena32 [7]2 years ago
8 0

Answer:

yes.......................

Step-by-step explanation:

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Step-by-step explanation:

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Factor completely: 2x4 − 32.
vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

2x^4-32:

Taking the common number "2" outside  to the above expression we get

2x^4-32=2(x^4-16)

Now rewritting the above  expression as below

=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x^2 and  b=2^2

Therefore it becomes

=2(x^2+2^2)(x^2-2^2)

=2(x^2+4)(x^2-2^2)  

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

Therefore it becomes

=2(x^2+4)(x+2)(x-2)  

=2(x+2)(x-2)(x^2+4)  

Therefore =2(x+2)(x-2)(x^2+4)  

2x^4-32=2(x-2)(x+2)(x^2+4)  

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

3 0
3 years ago
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Juanita is the self-employed owner of Juanita's Linens. Her estimated annual earnings are $73,040 and she expects to pay 27% of
adell [148]

Answer:

  $7724

Step-by-step explanation:

Her estimated quarterly income is $73,040/4 = $18,260.

Her estimated tax rate is ...

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This tax rate applied to her estimated earnings gives an estimated quarterly tax of ...

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  ≈ $7724 . . . . . taxes are rounded to the nearest dollar

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