Answer:
Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:
Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>
List the multiples of 40
<u>Hexagon</u>
List the multiples of 60
List out the common angles
This means that, only a rotation of 
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
Question 2:
The answer is 21
The two angles are vertically opposite, which makes them equal and also means we can make an equation:
4x - 4 = 3x + 17
- 3x
x - 4 = 14
+ 4
x = 21
Question 3:
The answer is 23
Again, the angles are vertically opposite, so we can make them equal each other:
5x - 53 = 3x - 7
- 3x
2x - 53 = -7
+ 53
2x = 46
÷ 2
x = 23
I hope this helps!
Answer:
B
Step-by-step explanation:
We can use the law of cosinse:
= 
− 2ab cos(C)
Suppose the two sides are a and b, and the angle betweent them is C.
= 
− 2*3*4 cos(60)
We can simplify this to get =25-12=13
c=
Answer choice B
Answer: It flips it to the other side
Step-by-step explanation:
I... don’t know? How many hours is he working a year? How many days is he working?
