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Elan Coil [88]
3 years ago
15

Find the measure of the indicated angle that makes lines u and v parallel.

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

1. 135°

2. 114°

3. 118°

4. 81°

Step-by-step explanation:

Let "x" represent the measure of the indicated angle in each problem.

1. x = 135° (corresponding angles theorem)

2. x = 180° - 66° (same-side interior angles theorem)

x = 114°

3. x = 118° (alternate interior angles theorem)

4. x = 81° (alternate exterior angles theorem)

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The remainder from the division of the algebraic equation is -53/8.

<h3>What is the remainder of the algebraic expression?</h3>

The remainder of the algebraic expression can be determined by using the long division method.

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\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}

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Using the long division method, we have:

\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}

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Learn more about the division of algebraic equations here:

brainly.com/question/4541471

#SPJ1

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