A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b
y the lights on the perimeter?
1 answer:
Answer:
108°
Step-by-step explanation:
Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).
The sum of all interior angles of pentagon can be calculated using following formula
All interior angles in regular pentagon are of equal measure, so
Thus, the measure of each angle formed by the lights on the perimeter is 108°.
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Answer:
Stefan spend $120 originally.
Stefan made $72 by selling bicycle and helmet to Jim.
Step-by-step explanation:
Given:
Cost of bicycle = $175
Cost of Helmet = $17
Percent of total cost of Jim = 160% of original cost of Stefan
We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.
Solution:
Let the Amount Stefan spend originally be 'x'.
Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.
framing in equation form we get;
Total Cost of Jim =
Now we know that;
Total Cost of Jim is equal to 160% of Amount Stefan spend originally.
framing in equation form we get;
Dividing both side by 1.6 we get;
Hence Stefan spend $120 originally.
Now we can say that;
Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.
framing in equation form we get;
Money Stefan made =
Hence Stefan made $72 by selling bicycle and helmet to Jim.