You are designing an amusement park ride with cars that will spin in a circle around a center axis, and the cars are located at the vertices of a regular polygon. the sum of the measures of the angles' vertices is 6120°. if each car holds a maximum of four people, what is the maximum number of people who can be on the ride at one time?

144 people.

Step-by-step explanation:

Let n be the vertices, where cars are located.

We have been given that the sum of the measures of the angles' vertices is 6120°.

Let us find the number of vertices using formula:

.

Upon substituting the given sum of the measures of the angles in this formula we will get,

Using distributive property we will get,

Adding 360 to both sides of our equation we will get,

Upon dividing both sides of our equation by 180 we will get,

As the cars are located on the vertices of regular polygon, so there will be 36 cars in the ride.

We are told that each car holds a maximum of 4 people, so the number of maximum people who can ride at one time will be equal to 4 times 36.

Therefore, the maximum number of people who can be on the ride at one time is 144 people.

idk

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