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aev [14]
3 years ago
8

In the diagram below, DE is parallel to XY. What is the value of y?

Mathematics
2 answers:
zlopas [31]3 years ago
4 0

Answer:

D. 122

Step-by-step explanation:

We have been given that line DE is parallel to XY. We are asked to find the value of y.

We can see that angle y and angle with measure 122 degrees are alternate exterior angles as they are formed outside of parallel line and on the opposite side of transversal.

By alternate exterior angles postulate both angles are equal, therefore, the value of y is 122.

Veronika [31]3 years ago
3 0
The answer is D. 122
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Find the angle [OA] makes with the positive x-axis if the x-coordinate of the point A on the unit circle is 0.222
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By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

<h3>How to find an angle in an unit circle</h3>

<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:

\tan \theta = \frac{\sqrt{1 - x^{2}}}{x}

\tan \theta = \frac{\sqrt{1-0.222^{2}}}{0.222}

tan θ ≈ 77.173°

By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

To learn more on unit circles: brainly.com/question/12100731

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