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2 years ago

12

Which of the following best describes the relationship between Angle a and angle b in the image below ( Choose all that apply)

2 answers:

Goryan [66]2 years ago

8 0

Answer:

a

Step-by-step explanation:

6tgjnnvcyhjjjjjjjjjffc

kobusy [5.1K]2 years ago

4 0

You are correct in selecting "linear pairs" since they form a straight line.

The angles are also adjacent because they're next to each other like that. In fact, "linear pair" means "adjacent and supplementary".

The angles are <u>not</u> complementary because they don't add to 90 degrees. Instead, they add to 180 degrees so that's what makes them supplementary.

The angles are also <u>not</u> vertical angles. They would need to be opposite one another in an X configuration for this to happen. This means vertical angles cannot be adjacent, and vice versa.

<h3>2 Answers: Choice B and Choice C</h3>

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Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

A snowflake falls 6 feet in 4 seconds. At this rate, how far does a snowflake fall in 1 minute?

antiseptic1488 [7]

A snowflake falls 90 feet in 1 minute.

60 ÷ 4 = 15

6 x 15 = 90

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3 years ago

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Naddik [55]

If you're asking for the number of digits smaller than 13 in the bag:12

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3 years ago

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grin007 [14]

A 1 2/3
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2 years ago

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Anna11 [10]

The answer to your question is:

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