Answer:
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The supplement of an angle will be its difference from 180° (or -180°). Hence your supplements are
.. -37° ⇒ -143° or 217°
.. -9° ⇒ -171° or 189°
.. -84° ⇒ -96° or 264°
Since you allow angles to be negative, I'd probably choose the negative value as the supplement.
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If you're going to define angles in such a way as to allow their measures to be negative, then you need to make a corresponding definition of complement and supplement. One definition I've seen of "supplement" is that it meets the requirements that
.. sin(θ) = sin(supplement(θ))
.. cos(θ) = -cos(supplement(θ))
The above angles (either positive or negative) will meet these requirements.
Answer:
Step-by-step explanation:
The equation for a circle is
This should tell you that in order to write the equation for a circle, you need either the center and a point and then solve for the radius, or you need 2 points ON the circle that will help you find the center (it would be exactly between those 2 points so you could use the midpoint formula to find the center and then you would have the h and the k and can take it from there.)
The definition of a circle is the locus of all points that is equidistant from a point in space. That point in space is the center and all the points equidistance from it are ON the circle, not inside the circle.
Hope that helps.
A line segment has two endpoints unlike a line where a line is infinite with no end! :) Think of a line segment essentially just being two points on a line. :)