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3 years ago

Find the values of x & y

Mathematics

2 answers:

SOVA2 [1]3 years ago

5 0

Answer:

x = 23

y = 88

Step-by-step explanation:

because they are parallel lines 3x + 23 = 4x

So you subtract 3x from both sides to get 23 = x

now because you have this and y + 4x = 180

4(23) = 92

180 - 92 = 88

y = 88

Triss [41]3 years ago

4 0

Answer:

y=88 and x=23 because 4x=3x+23 and y+4x=180

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The order in which the two transformations in a composite transformation affect the final answer

<h3>How to determine the composite transformation?</h3>

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

Translate by (x, y + 1)
Dilate by a scale factor of 2

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

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A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

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A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

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If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

_______________

$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
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Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
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Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

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Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

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I hope this helps. =)

Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

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