A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
imehs18
 one year ago
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.
imehs18
 one year ago
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.

This Question is Open

Decart
 one year ago
Best ResponseYou've already chosen the best response.0the number of sides is 30

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0i was able to get the number of sides but i don't know how to show the solution

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

Decart
 one year ago
Best ResponseYou've already chosen the best response.0then the numbers of sides of the polygon should be polygons

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1dw:1384944170133:dw

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1http://www.dummies.com/howto/content/howtofindthenumberofdiagonalsinapolygon.html

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

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1Why don't you set up equations :)

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0number of diagonals i already given. i need a solution.

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

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

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

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1ok here's a hint: \(m=15n\)

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0m^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

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

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

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1yep, and this will be a quadratic :)

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1Have you learnt quadratic? :)

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.1Use quadratics pl0x

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0can you just pls provide me the whole solution im stuck. sorry if im stupid about this..

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0i stop studying for 5years and i need to recall everything about geometry

Decart
 one year ago
Best ResponseYou've already chosen the best response.0you did it right you just got 27 instead of 30

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0how did you get the 30?

Decart
 one year ago
Best ResponseYou've already chosen the best response.0from the first equation 22530n+n^245+3n+n^23n=72

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0after that. what is next?

Decart
 one year ago
Best ResponseYou've already chosen the best response.0(15n)^2 gave me the thirty

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0how do i get the n now?

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

Decart
 one year ago
Best ResponseYou've already chosen the best response.0two factors of 54 that total to 15

Decart
 one year ago
Best ResponseYou've already chosen the best response.0yes so those are your sides

imehs18
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much for your patience with me. i really appreciate it.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.