To the nearest degree what is the measure of each exterior angle of a regular dodecagon
1 answer:
Answer:
Step-by-step explanation:
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that a regular dodecagon is a 12 sided regular polygon with each side equal.
We know that measure of each angle of n-sided regular polygon can be found using formula:
Upon substituting in above formula, we will get:
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
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Answer:
Step-by-step explanation:
Transformation rule for dilation:
, where k = scale factor
Given : Scale factor =
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)
Vertices after dilation:
Hence, the coordinates of the image if the parallelogram =
Answer:
Ryan planted more maple trees than Kioshi.
Step-by-step explanation:
Given:
Total number of tress planted by Ryan = 125
Percent of maples tree planted by Ryan = 28%
Total number of tress planted by Kioshi = 125
We need to find who planted more maple trees.
Solution:
First we will find the number of maple tree planted by Ryan.
So we can say that;
the number of maple tree planted by Ryan is equal to Percent of maples tree planted by Ryan multiplied by Total number of tress planted by Ryan and then divided by 100.
framing in equation form we get;
the number of maple tree planted by Ryan =
Hence Ryan planted 35 maple trees on the tree farm.
Now we will find number of maple tree planted by Kioshi.
But Given:
or every maple trees there are four pine trees
Let the number of maple tree planted by Kioshi be 'x'.
Number of pine trees =
Now we know that;
Total number of tress planted by Kioshi is equal to sum of Number of pine trees and number of maple tree.
framing in equation form we get;
Dividing both side by 5 we get;
Hence Kioshi planted 25 maple trees in the park.
So we can say that.
Ryan planted more maple trees than Kioshi.