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imehs18
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Find the number of sides of each of the two polygons if the total numbers of sides of the polygon is 15, and the sum of the number of diagonals is 36.
 9 months ago
 9 months ago
imehs18 Group Title
Find the number of sides of each of the two polygons if the total numbers of sides of the polygon is 15, and the sum of the number of diagonals is 36.
 9 months ago
 9 months ago

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Decart Group TitleBest ResponseYou've already chosen the best response.0
the number of sides is 30
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
i was able to get the number of sides but i don't know how to show the solution
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
the number of side is 9 and 6 i just need a solution how to get this
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
then the numbers of sides of the polygon should be polygons
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
dw:1384944170133:dw
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
http://www.dummies.com/howto/content/howtofindthenumberofdiagonalsinapolygon.html
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
So the number of diagonals of a polygon with \(n\) sides is \(\dfrac{n(n3)}2\)
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
Why don't you set up equations :)
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
number of diagonals i already given. i need a solution.
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
can you help me?
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
You could try letting the numbers of sides of the two polygons be \(m\) and \(n\) respectively :)
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
can you pls show me the solution. i got this m(m3)/2 + n(n3)/2 = 36
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
Ok I'll set up the equations for you but you'll work out the steps yourself :) \[m+n=15\]\[\frac{m(m+3)}2+\frac{n(n+3)}2=36\]
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
ok here's a hint: \(m=15n\)
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
m^23m+n^23n = 72 m^2+n^23(m+n) = 72 we know that m+n = 15 m^2+n^23(15) = 72 m^2+n^2 = 27 after that i dont know
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
substitute 15n for m
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
substitute \(m=15n\) to \(\dfrac{m(m3)}2+\dfrac{n(n3)}2=36\) :)
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
\[\left( 15n ^{} \right)^{2}3\left( 15n \right)+n ^{2}3n=72\]
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
yep, and this will be a quadratic :)
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
i got 108 = 27n+n^2
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
Have you learnt quadratic? :)
 9 months ago

kc_kennylau Group TitleBest ResponseYou've already chosen the best response.1
Use quadratics pl0x
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
can you just pls provide me the whole solution im stuck. sorry if im stupid about this..
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
i stop studying for 5years and i need to recall everything about geometry
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
2n^230n+108=0
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
(_n+_)(_n_) factor
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
you did it right you just got 27 instead of 30
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
how did you get the 30?
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
from the first equation 22530n+n^245+3n+n^23n=72
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
combine like terms
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
after that. what is next?
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
(15n)^2 gave me the thirty
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
how do i get the n now?
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
then you factor the 2n^230n+108 you can divide both sides by two to make it easier n^215n+54
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
two factors of 54 that total to 15
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
(x_)*(x_)=0
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
(n9)(n6)
 9 months ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
yes so those are your sides
 9 months ago

imehs18 Group TitleBest ResponseYou've already chosen the best response.0
thank you so much for your patience with me. i really appreciate it.
 9 months ago
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