Answer:
You are only given a Side, an Angle, and then a side. So that is what I would choose. It can't be AA because you weren't given two angles. It can't be SSS because you weren't given 3 sides.
Step-by-step explanation:
Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
Answer:
points A, B and D are all in the same plane but not all are on the same line
Step-by-step explanation:
points A, C, D are all collinear which means they must also be coplanar
So that would be the same thing as 5 4/5 - 3 2/7
Put them in mixed fractions to become 29/5 - 23/7
Multiply one side by 7 and one side by 5 to get the same denominator
203/35 - 115/35
Now subtract the numerators to get
88/35
Or if they want it inixed numbers then 2 18/35
