<h3>
Answer: Midpoint</h3>
Explanation:
The drawings you made are constructions of the perpendicular bisector. The "perpendicular" refers to the fact the second line meets the first line at a right angle (aka 90 degree angle). The "bisector" portion indicates the segment has been bisected, which is mathematical way of saying "cut in half".
The key here is the "bisector" portion. Because we've cut a segment like AB in half, this means segment AC and CB are the same length. The point C is the midpoint of AB. Point C is formed by intersecting the perpendicular bisector and the original segment. I'm referring to drawing (a), but the same idea applies to drawing (b) as well. I recommend using another letter than C for the second drawing.
The angle that is between the segments NM and PN is the angle that their segments form. If we take away the side PM (in our heads), we can see that the angle formed is angle N, or angle PNM.
To check if two vectors are orthogonal(perpendicular), simply check their dot product, if their dot product is 0, then they're perpendicular, let's check.

to check if two vectors are parallel, simply check their slope by doing a b/a check, if the slopes are the same, then they're indeed parallel to each other, let's check.

well, there you have it, the slopes are the same.
The quotient rule is as follows
((l)•(h’) - (l’)•(h))/(l)^2
With l representing “low” or “bottom equation” and h representing “high” or “top equation”
Let’s plug in v^k and v^h in this case
((v^h)(v^k)’ - (v^h)’(v^k))/(v^h)^2
Answer:
a. programmed decision
Step-by-step explanation:
When a decision is routinely made based on rules that look at specific measurable criteria, it is a <em>programmed decision</em>.