Question
a) If
, find
.
b) If
and
, find the value of
.
c) If
and
, find the value of
.
4. Find the distance between points
and
.
b) If
c) If
4. Find the distance between points
Ask by Salazar Ellis. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a)
b)
c)
- The distance between points
and is units.
Solution

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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!