If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
1 answer:
Answer:
Option 1) 10 sides
Step-by-step explanation:
We are given a regular polygon. The sum of interior angles measure upto 1440 degrees.
Since it is a regular polygon, it satisfies the following properties:
- All the sides are equal.
- All interior angle have same measure.
Let the regular polygon have n sides.
Then, the sum of interior angle is given by:
Putting the values, we get,
Thus, there are 10 sides. The regular polygon is a regular decagon.
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<h2>Explanation:</h2><h2></h2>
Here we have the following rational function:
So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:
Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:
Step 2. Shift the graph 2 units down:
Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
- A shifting 2 units down