Answer:
12
Step-by-step explanation:
Let the total number of donuts in the pack be x.
Amy = 2/3x
Anna = 1/4x
David = 1
x - 2/3x - 1/4x = 1
Find common denominators for 2/3 and 1/4
The common denominator is 12
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12
x - 8/12x - 3/12x = 1
x - 11/12x = 1
1/12x = 1
x = 12
You can always check
Amy = 8
Anna = 3
So David must equal to 1
Hope this helps :)
Have an awesome day!
Answer:
107 degrees
Step-by-step explanation:
For an inscribed quadrilateral, the opposite angles are supplementary. Thus, B+D = 180 and you can solve for x.
3x+9+2x-4 = 180
5x = 175
x = 35
Next, plug the x value into angle A.
2(35) + 3 = 73
Angle C is the supplement of this which is 180-73 = 107
Answer:
cos(θ) = (√33)/7
Step-by-step explanation:
The relevant relation is ...
cos(θ) = √(1 -sin²(θ))
cos(θ) = √(1 -(4/7)²) = √(1 -16/49) = √(33/49)
cos(θ) = (√33)/7
