Answer:
One scientist was working two molecules:

And verified that geometrically speaking, those are trigonal planar molecules made up of an equilateral triangle. He designed both molecules and classified them as Plane dihedral Groups. Was he correct? Why?
Step-by-step explanation:
Yes He was right. Place one atom in the centroid of the equilateral triangle (S or B), and each atom in each vertex(O or F).
We can apply geometric transformations (plane) rotations: R0, R2π/3, R4π/3
(And spatial ones, as R1, R2, R3 180º rotation over each median.)
Composite functions show that this is not an Abelian Group:

SOH CAH TOA
sin(P) = opp./hyp. = 5/13
tan(T) = opp./adj. = 12/5
cos(T) = adj./hyp. = 5/13
I think it’s 18 and I will explain how I got that
Explanation: so first I added all the marbles she took out to see the total she took out which was 50 and if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10 (times because we want to see how many times the red marble would come out) and that’s 18