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Inessa05 [86]
3 years ago
6

If an interior angle of a regular measures 140º, how many sides does the polygon have?

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

9

Hope this helps :)

Sum of the angles of a polygon is (n-2)*180

Each angle is (n-2)*180/n

140 = (n-2)*180/n

140n = 180n - 360

-40n = -360

n = 9

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3 0
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Read 2 more answers
Can someone please help me.
Katena32 [7]
Given 
- f(n) values for n=1,2,3,4
- possible candidates for the function

Solution:
Method: Evaluate some of the values, for each function.  A function with ANY value not matching the given f(n) values will be rejected.

N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 ≠ 4   [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3  [rejected]

N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 ≠ 12   [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]

Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36   [Good]
[rejected]

Solution: f(n)=4(3^(n-1))










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3 years ago
Read 2 more answers
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