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3 years ago

7

Trapezoid ABCD is rotated on 180° about the origin. Draw the image A'B'C'D' of the given trapezoid and determine which of the fo

llowing statements are true?
Select all correct statements.

A. A'D' ∥B'C'
B. A'B' ∥ D'C'
C. AD∥ A'D'
D. A'B' ∥ AB
E. AD ∥ B'C'

1 answer:

ICE Princess25 [194]3 years ago

4 0

Answer: B, C, D

Step-by-step explanation:

since it is rotated, the parallel sides stay parallel.

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Which of the following sequences describes the distances of the ball from you

exis [7]

If the paintball is going 150m a second and the question asks, "starting from the distance of your friend what is the distance every TENTH of a second"
Ok so 150 meter a second so to get a tenth of a second you do 150/10 which is 15, if you start at 25 m away from you then only A and E could be correct, so now do 25+15 then that +15 and so on and you can see that letter choice E is correct

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3 years ago

a farmer produced 47581 2 oranges of one kind and 651 65 oranges of another kind He mixed these oranges and packed in 296 boxes

storchak [24]

Step-by-step explanation:

I am not sure the scanning of the text went well, as this has some strange gaps in the numbers.

I understand that we have 475812 oranges of one type and 65165 oranges of another type.

we have no information, if these types of oranges have significantly different sizes or weight. so, we have to assume that they are reasonably equal to each other.

therefore, the "different type" statement is just to confuse us. the text could have also said that these were 2 different truck loads of the same type.

we only need to deal with the total number of oranges.

so,

475812 + 65165 = 540977 total oranges

he packs them into 296 boxes.

that makes

540977 / 296 = 1827.625 oranges per box.

these are many oranges for one box in real life.

and it is not a round number, which is strange for a home work or test question if this type.

if the farmer truly put only the same number of oranges in every box, he would have

540977 - 1827×296 = 540977 - 540792 = 185

oranges left over.

in any case, these are all signs that there was probably something wrong with the text. but you see the principle up there. please do the same thing with the real numbers.

6 0

3 years ago

Read 2 more answers

Give the expression 4n^2t/2n^t-1, write the expression as a binomial.

lubasha [3.4K]

<span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>

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3 years ago

The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures

serious [3.7K]

Answer:

the third angle= 180-x-(4x+15)

Step-by-step explanation:

if we subtract the two other angles the result will be the measure of the last one

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3 years ago

What is the measure of the other acute angle ?

Vaselesa [24]

Answer:

$62^{o}$

Step-by-step explanation:

All the angles in a triangle add up to $180^{o}$

Every right angle triangle has a right angle in it which is $90^{o}$

So to find the remaining angle, you do $180^{o}$ - $90^{o}$ - $28^{o}$ = $62^{o}$

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3 years ago