Let x, y, z ∈ C, the set of complex numbers.
By definition of ○,
(x ○ y) ○ z = (x + y - 2i) ○ z
… = (x + y - 2i) + z - 2i
… = x + y + z - 4i
and
x ○ (y ○ z) = x ○ (y + z - 2i)
… = x + (y + z - 2i) - 2i
… = x + y + z - 4i
so (x ○ y) ○ z = x ○ (y ○ z), which means ○ is indeed associative under C.
Hey! the answer would be A regular 40-sided polygon has an interior angle equal to:
(40 - 2) (180) /40 = 171 degrees
The interior angle is also the smallest angle that is needed to rotate the polygon and map it unto itself. So, the smallest degree of rotation needed to map the polygon back to itself is 171 degrees.
Answer:
28
Step-by-step explanation:
x-10+2=20
add -10 and 2 together to simplify the equation
x-8=20
add 8 to both sides to isolate x
x=28
hope this helped!
We can say that the 8 foot base is the adjacent side.
We can say that the 5 foot altitude is the opposite side.
the tangent of the base angle = 5/8 = .625
Therefore the angle equals
arc tangent (.625) = 32.005 degrees