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2 years ago

Cynthia is finding the measures of the labeled angles in this image.

Mathematics

1 answer:

wariber [46]2 years ago

4 0

Answer:

D. She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.

Step-by-step explanation:

Because we don't know what kind of triangle we're looking at, and none of the lines are parallel or perpendicular, the other responses wouldn't make sense.

As a result, we'll need two perspectives.

C would not work since we would know that the two angles are supplementary if we knew A or B.

If we start with A, we'll end up with B, which is 180-A, and vice versa.

Both A and B are unnecessary.

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Use double number lines to find the missing number. Write a percent proportion and solve each problem.

GaryK [48]

Your answer is: 63 is 90% of 70.

The work (if needed) is shown above :)

6 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

What is the value of i4?

natima [27]

Answer:

Step-by-step explanation:

You want to know the value of i^4.

<h3>Powers of i</h3>

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

<em>Additional comment</em>

As you can see from the evaluation process, ...

i¹ = i

i² = -1 . . . . . definition of i

i³ = -i

i⁴ = 1

The sequence repeats for higher powers.

8 0

1 year ago

One car costs $18,942.

oksian1 [2.3K]

Answer:

28,130

Step-by-step explanation:

18,942+9188=28,130

7 0

2 years ago

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Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s g

Ksenya-84 [330]

Answer:

actually its A... i know cause i got it WRONG

Step-by-step explanation:

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1 year ago

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