If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.
To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.
Answer: 12 degrees
Answer:
40 days
Step-by-step explanation:
Let x represent the original production time. Then 70x is the order quantity involved.
When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...
70x = 80(x -5)
70x = 80x -400
0 = 10x -400 . . . . . subtract 70x
0 = x -40 . . . . . . . . divide by 10
40 = x . . . . . . . . . . add 40
The original schedule was for production to take 40 days.
Answer:
Step-by-step explanation:
If Avery wants the amount of dark chocolate (d) to be 10 kg higher than the amount of milk chocolate (m), then the following relationship must be true:
If the total amount of chocolate must equal 150 kg, then:
The system of equations that represent this situation is:
Answer:
x=25
Step-by-step explanation:
The total angles of a triangle is 180°
So 180=36+61+(4x-17)
83=(4x-17)
100=4x
x=25