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kolezko [41]
3 years ago
12

Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.

Mathematics
1 answer:
artcher [175]3 years ago
8 0

supplement means the sum of the two angles is 180° → y = 180 - x

complement means the sum of the two angles is 90° → y = 90 - x

supplement - 3(complement) = 46

(180 - x) - 3(90 - x) = 46

(180 - x) - 270 + 3x = 46

2x - 90 = 46

2x = 136

x = 68

Answer: 68°

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By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.

<h3>How to determine the equation of a line parallel to another line</h3>

In accordance with the analytical geometry, two lines are <em>parallel</em>  when they share the <em>same</em> slope (m) but <em>different</em> intercepts (b). <em>Linear</em> functions are usually are described by the following form:

y = m · x + b     (1)

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Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:

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To learn more on linear functions: brainly.com/question/21107621

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