Answer:
Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:
A. octagon.
Step-by-step explanation:
We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:

Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.
i.e. we have:

Hence, the number of sides of a polygon are 8.
Hence, the polygon is:
A. octagon.
( Since a polygon with 8 sides is called a octagon)
Answer:
The value of P is 20 .
Step-by-step explanation:
Firstly, you have to create an expression in terms of p using the information :

Next, you have to multiply both sides by 10 :


Because it is a quadrilateral, all 4 angles have to add up to 360 degrees.
Add the 3 known angle measures.
80+95+38=213
Then subtract from 360.
360-213=147
X=147 degrees
It is C. A cube! Good luck!
Answer:
20 animals = x chickens (2 legs) + y horses (4 legs).
x+y=20 (total number of animals)
2x+4y=64 *total number of legs)
x+y=20
x+2y=32
If you solve this system of animal with 2 and 4 legs, you get 6 chickens and 14 horses
x=6
y=14
Try on your own!