SOLUTION: Polygon K has 3 more sides and 2015 more diagonals than polygon N. How many sides does each of these polygons have?
Algebra ->
Polygons
-> SOLUTION: Polygon K has 3 more sides and 2015 more diagonals than polygon N. How many sides does each of these polygons have?
Log On
Question 1055215: Polygon K has 3 more sides and 2015 more diagonals than polygon N. How many sides does each of these polygons have? Answer by ikleyn(52776) (Show Source):
You can put this solution on YOUR website! .
Polygon K has 3 more sides and 2015 more diagonals than polygon N. How many sides does each of these polygons have?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The key to the solution is this statement:
The number of diagonals of the n-sided polygon is .
It gives you an equation
= 2015.
Simplify.
(n+3)*n - n*(n-3) = 2*2015,
n^2 + 3n - n^2 + 3n = 4030,
6n = 4030.
And since is not a whole number,
