Answer:
3rd quadrant
Step-by-step explanation:
- First we just convert the angle from radians to degrees
- Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
- Now in which quadrant it 210 degrees?
- 0 degrees to 90 degrees is 1st quadrant
- 90 degrees to 180 degrees is 2nd quadrant
- 180 degrees to 270 degrees is 3rd quadrant
- 270 degrees to 360 degrees is 4th quadrant
- So our answer is the 3rd quadrant.
The sum of the opposite interior angles is equal to the exterior angle.
So,
∠CAB + ∠ACB = ∠CBD
x + 40 + 3x + 10 = 6x
4x + 50 = 6x
2x = 50
x = 25°
∠CAB = x + 40 = 25 + 40 = 65°
Hence, the answer is D.
Answer:
Step-by-step explanation:
Alright, lets get started.
using Sine Law,




Another angle will be

considering angle B, angle C = 
considering angle B', angle C' = 



Similarly, finding c'



Hence two triangles are possible with below details: : Answer
A = 30, B = 48.6, C = 101.4, c = 7.84
A = 30, B' = 131.4, C' = 18.6, c' = 2.55
Hope it will help :)
34 = q + n
6.1 = .25q + .05n
-1.7 = -.05q - .05n
6.1 = .25q + .05n
4.4 = .2q
q = 22
22 of the coins are quarters.