Yes, 104.12 is greater than 104.002
because 104.12 rounds up to 104.1
and 104.002 rounds up to 104.0
The sum of the inner angles of any triangle is always 180°, i.e. you have
![\alpha + \beta + \gamma = 180](https://tex.z-dn.net/?f=%20%5Calpha%20%2B%20%5Cbeta%20%2B%20%5Cgamma%20%3D%20180%20)
In the particular case of an equilater triangle, all three angles are the same, so
![\alpha = \beta = \gamma](https://tex.z-dn.net/?f=%20%5Calpha%20%3D%20%5Cbeta%20%3D%20%5Cgamma%20)
and the expression becomes
![\alpha + \beta + \gamma = \alpha + \alpha + \alpha = 3\alpha = 180](https://tex.z-dn.net/?f=%20%5Calpha%20%2B%20%5Cbeta%20%2B%20%5Cgamma%20%3D%20%5Calpha%20%2B%20%5Calpha%20%2B%20%5Calpha%20%3D%203%5Calpha%20%3D%20180%20)
which implies ![\alpha = 60](https://tex.z-dn.net/?f=%20%5Calpha%20%3D%2060%20)
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)
D, its (x,y) and (8.2,5.7) are the only ones that match up
Answer:
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Step-by-step explanation: