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Brut [27]
4 years ago
7

What is the answer to this problem?

Mathematics
1 answer:
Amanda [17]4 years ago
7 0

Answer:

B.) Transitive Property of Congruency; If parallel lines have a transversal, then alternative interior angles are congruent.

Step-by-step explanation:

Alternate interior angles are the two angles that are inbetween the parallel lines but are on opposite sides of the transversal.  Angles 4 and 5 are alternate interior, and therefore, they are congruent.

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Which equation could be used to find the length of the hypotenuse?
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Answer:

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Step-by-step explanation:

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Answer:

A. Reflect the graph of the first function across x-axis, translate it \frac{\pi}{4} to the left, and translate it 2 units up.

Step-by-step explanation:

We have the original function is y=\tan (x+\frac{\pi}{4})-1.

The new transformed function is given by  y=-\tan (x+\frac{\pi}{2})+1.

So, we can see that the following sequence of transformations have been applied to the original function:

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2. This function obtained is translated \frac{\pi}{4} units to the left i.e.  y=-\tan (x+\frac{\pi}{4}+\frac{\pi}{4})-1 i.e. y=-\tan (x+\frac{\pi}{2})-1

3. Finally, this new function is translated 2 units upwards i.e. y=-\tan (x+\frac{\pi}{2})-1+2 i.e. y=-\tan (x+\frac{\pi}{2})+1

Hence, after applying, 'reflection across x-axis, translation of \frac{\pi}{4} to the left, and translation of 2 units up', we get the required function.

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