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2 years ago

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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21% as a percent as a fraction in simplest form and as a decimal

vovikov84 [41]

.21 is decimal form, 21/100 is the fraction in simplest form.

4 0

3 years ago

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Find the negative square root of 16 show your work

Nana76 [90]

Answer:

-4 or undefined

Step-by-step explanation:

7 0

3 years ago

−1/5a+9/5a+6 =30<br> solve for a

Nonamiya [84]

Answer:

a=15

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable.

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3 years ago

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

Read 2 more answers

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 ...

27% + 12.4% + 2.9% = 42.3%

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

$18,260 × 0.423 = $7723.98

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

7 0

3 years ago