Question
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a) If , find .
b) If and , find the value of .
c) If and , find the value of .
4. Find the distance between points and .

Ask by Salazar Ellis. in the United States
Jan 10,2025

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Tutor-Verified Answer

Answer

a)
b)
c)
  1. The distance between points and is units.

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The Deep Dive

If , then using the angle relationships, we can assume that could be related to depending on the configuration of points. For instance, if , and are that kind of configuration where angles make a straight line, then would be .
Moving to the values of , we know that in a linear pair. So, using the given and substituting , we solve leading to , giving , hence .
In part c, since and , we can equate them using our previous knowledge that these could represent angles on a straight line. So yields . Simplifying leads us to , thus .
To find the distance between points and , we can use the distance formula:
Substituting our points and , we have:
And there you have it, a thorough breakdown of angles and distance that is anything but dull!

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