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3 years ago

11

Determine whether each pair of figures is similar. (pic included)

1 answer:

ivann1987 [24]3 years ago

8 0

Answer:

it ether b or c

Step-by-step explanation:

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If x+1/x= 3, then prove that m^5+1/m^5= 123

alina1380 [7]

9514 1404 393

Explanation:

We can start with the relations ...

$\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)$

$\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}$

7 0

3 years ago

Borrow 1 from the whole number to rewrite 8 10/24.

koban [17]

Answer:

A. $7\frac{34}{24}$

Step-by-step explanation:

We are given the expression, $8\frac{10}{24}$

On re-writing the expression after borrowing 1, we have,

$8\frac{10}{24}$ = $7(\frac{10}{24}+1)$

i.e. $8\frac{10}{24}$ = $7(\frac{10}{24}+\frac{24}{24})$

i.e. $8\frac{10}{24}$ = $7\frac{34}{24}$

Thus, the equivalent expression after borrowing 1 from the given expression is $7\frac{34}{24}$ .

Hence, option A is correct.

4 0

3 years ago

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is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.

Xelga [282]

Answer:

Yes.

Step-by-step explanation:

Yes. Because opposite angles are congruent.

4 0

3 years ago

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If a lap is 440 yard how many laps would need to be completed to run a mile

Nataly_w [17]

1760 yards = 1 mile

Therefore we divide 1760 / 440 = 4 laps to run to complete a mile.

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3 years ago

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Helpppp me pls! What is the lenght of AC?

Crazy boy [7]

Step-by-step explanation:

Bc is also 20 answer is 400

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3 years ago