Answer:70 degrees and 150 degrees
Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.
After that you can model the sum of the angles with an equation:
7x + 15x = 220
22x = 220
x = 10
then you plug in x for each angle 7(10) = 70 and 15(10) = 150
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Second: 10
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Third: 5
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Fourth: 2
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
On a general terms:
Let the number be x.
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Notice that for every input x, the result is 2x
