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1 year ago

B)When ABCD is drawn to scale, would

Mathematics

1 answer:

never [62]1 year ago

7 0

Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by

2(45)+90=180⁰ ✔

or 3(45)+45=180⁰✔

this would not be the case if it wasn't parallel

Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

Mmmmm help HELPPPPP,,,,,,

Aleks [24]

Answer:

I guess it's 63degrees

I hope it will help

4 0

2 years ago

5c+12=11c+16-6c<br><br><br><br> Solve

Stella [2.4K]

Answer:

No solution.

Step-by-step explanation:

Nothing can be further done

4 0

2 years ago

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Where were Roman numerals made

LenaWriter [7]

The Roman Numeral, as far as we know, was the only written numbering system used in Ancient Rome andEurope until about 900 AD, when the Arabic Numbering System, which was originated by the Hindu's, came into use.

3 0

2 years ago

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A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad onl

andreyandreev [35.5K]

Answer:

B: Yes, the participants are grouped by sun exposure, and then both treatments are randomly assigned within each group.

Step-by-step explanation:

Randomized block design is one in which the experimental units are categorized into groups which we call blocks. Thereafter, treatments will be randomly allocated to the experimental units inside each of the blocks.

Now, from the question, we can see that they were grouped in Blocks according to their outdoor activity which is degree of exposure to the sun. Thereafter the individual groups are randomly assigned treatments.

Thus, Option B is correct.

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2 years ago

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