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December 20, 2014

December 20, 2014

Posted by **Anonymous** on Sunday, December 18, 2011 at 5:29pm.

- 8th grade math -
**Steve**, Sunday, December 18, 2011 at 9:05pmThink of the number of diagonals for an n-gon.

For each point p, there are n-3 points that form diagonals (n less p itself and the two adjacent vertices)

Going around for all n points, each diagonal is counted twice. So, the dumber of diagonals d(n) for a n n-gon is

d(n) = n(n-3)/2

The number of interior angles is just n.

So, for two polygons, of m and n vertices,

m + n = 17

m(m-3)/2 + n(n-3)/2 = 53

substitute m = 17-n

(17-n)(14-n)/2 + n(n-3)/2 = 53

You have a 6-gon and an 11-gon

- 8th grade math -
**Holly**, Monday, December 19, 2011 at 12:02pmAkeem is putting a fence around his square garden. If the area of the garden is 144 square meters, how many meters of fencing will he need?

- 8th grade math -
**Anonymous**, Monday, December 19, 2011 at 5:20pm11222

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