Answer:1. Is right 3 down 5, because to get from x(0,0) to x'(3,-5), you need I shift to the right 3 and downwards 5.
2. Counterclockwise 180 degrees. This is because 180 degrees is half of a full rotation (360 degrees), meaning the point would be the same no matter which way you rotated 180 degrees.
3. Clockwise 90 degrees. Going counter clock wise 270 degrees is like going around 3/4 of a circle (because 270/360 is 3/4). Just as well, going clock wise 90 degrees is like going 1/4 of the circle, but in the opposite direction. This means they will both land at the same point.
Hope this Helps!
Step-by-step explanation:
If a pentagon is regular, then all of the sides are the same length. This means that
So, if 
, the lengths of the sides evaluate to
So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.
Answer:
The expression simplifies to 
.
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the 
terms in the numerator and in the denominator cancel to give
The 
are present both in the numerator and in the denominator, so they also cancel, and the fraction 
simplifies to 
, so finally our expression becomes:
Which is our answer:)
