Answer:
THE ANSWER IS B=8
Step-by-step explanation:
Beause 4 goes into 8 2 times!!!
Answer:
x= 11.9 (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answer: The measure of angle C is 107 degrees.
When, you have a quadrilateral inscribed in a circle, measure of the opposites sides are supplementary (they add to 180). Therefore, we can write and solve the following equation with angles D and B to find the value of x in the problem.
3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x = 175
x = 35
Now, input x = 35 into the expression for A to find that the measure of angle A is 73.
Since A and C are supplementary:
A + C = 180
73 + C = 180
C = 107
Answer:
48 people could play laser tag.
Step-by-step explanation:
This problem represents a linear equation since there is a constant rate of change, in this case a rate of $10 per person. There is also an initial rate of $15 that must also be paid. Since you have a $500 gift card, you can set an equation to find the number of people that would be able to play laser tag based on the costs and your total spending money:
500 = 10x + 15, where 500 is your available money on the gift card, 10 is your charge per person, 'x' is the number of people and 15 is your insurance down payment. Now, solve for 'x':
Use inverse operations: 500 - 15 = 10x + 15 - 15
Combine line terms: 485 = 10x
Use inverse operations: 485/10 = 10x/10
Solve: x = 48.5
Since you can't pay for half of a person, the most people that you could pay for is 48.
I believe you are asking in how many ways they can sit. If so:
The 1st can sit anywhere: he has only 1 way to sit
The 2nd can sit in 11 ways, since one seat is already occupied
The 3rd can sit in 10 ways, since 2 seat are already occupied
The 4th can sit in 9 ways, since 3 seat are already occupied
The 5th can sit in 8 ways, since 4 seat are already occupied
--------------------------------------------------------------------------------
The 12th can sit in 1 way, since11 seat are already occupied
General formula for a circular table:
Number of ways they n persons can be seated: (n-1)!
and the 12 can be seated in (12-1)! = 11! = 39,916,800 ways.
This is called circular permutation
