It would be 30 because In the triangle the angle 2 is 75 so in the parallelogram it is 150. And that is the same for angle 1. And 150 plus 150 is 300. So u need 60 more. U would divide that by 2 because there are two more angles. So angle 3 is 30. And the one diagonal is also 30.
Answer:
30 distinct colorings
Step-by-step explanation:
First, we need to calculate the total number of orientations that any unique cube can have. To do this, we fix the top face. As any face can occupy the place of the top face, there are 6 possible options for top face. Now, we fix the front face. Any face of the 4 faces of the side of the cube can occupy that place. This would give us a total 0f 6*4 = 24 possibles orientations that any particular cube can have.
Now, we need to calculate the amount of ways to paint the cube that we have. We paint one of the faces, to do this we have 6 possible colors to choose. Now, to paint any other face, we have 5 colors, then 4 colors, and so on. The total number of ways will be 6*5*4*3*2*1 = 6! = 720.
Finnally, as we have established that any unique cube will have 24 possible orientations, the amount of possible unique cubes multiplied by the 24 possibles orientations should give us the total number of ways to paint the cube:
24* n = 720
Said in another way, if we divide 720 by 24, we should get the possible amount of unique cubes we can have. This would be:
n = 720/24 = 30
Multiply 75 by the number of surfboards sold to get 75x add that to what he makes giving lessons:
250 + 75x
He wants to earn at least 500 so the equation has to be greater than or equal to 500:
Answer: 250 + 75x > equal to 500
Answer:
1050, 1200, 2550 and 5100.
Step-by-step explanation:
If the first number is x then the second is x + 1/7x.
The third = x + x + 1/7x + 300 and the fourth = x + x + 1/7x + x + x + 1/7x+ 300 + 300.
So our equation is:-
8x + 4 * 1/7x + 900 = 9900
60/7 = 9000
60x = 7*9000
x = 1050.
Therefore the 4 numbers are 1050, *1/7*1050 = 1200, 2550 and 5100.