Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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.
 5 months ago
 5 months 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.
 5 months ago
 5 months ago

This Question is Open

DecartBest ResponseYou've already chosen the best response.0
the number of sides is 30
 5 months ago

imehs18Best 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
 5 months ago

imehs18Best 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
 5 months ago

DecartBest ResponseYou've already chosen the best response.0
then the numbers of sides of the polygon should be polygons
 5 months ago

kc_kennylauBest ResponseYou've already chosen the best response.1
dw:1384944170133:dw
 5 months ago

kc_kennylauBest ResponseYou've already chosen the best response.1
http://www.dummies.com/howto/content/howtofindthenumberofdiagonalsinapolygon.html
 5 months ago

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

kc_kennylauBest ResponseYou've already chosen the best response.1
Why don't you set up equations :)
 5 months ago

imehs18Best ResponseYou've already chosen the best response.0
number of diagonals i already given. i need a solution.
 5 months ago

kc_kennylauBest 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 :)
 5 months ago

imehs18Best 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
 5 months ago

kc_kennylauBest 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 :) \[m+n=15\]\[\frac{m(m+3)}2+\frac{n(n+3)}2=36\]
 5 months ago

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

imehs18Best 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
 5 months ago

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

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

kc_kennylauBest ResponseYou've already chosen the best response.1
yep, and this will be a quadratic :)
 5 months ago

kc_kennylauBest ResponseYou've already chosen the best response.1
Have you learnt quadratic? :)
 5 months ago

kc_kennylauBest ResponseYou've already chosen the best response.1
Use quadratics pl0x
 5 months ago

imehs18Best 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..
 5 months ago

imehs18Best ResponseYou've already chosen the best response.0
i stop studying for 5years and i need to recall everything about geometry
 5 months ago

DecartBest ResponseYou've already chosen the best response.0
you did it right you just got 27 instead of 30
 5 months ago

imehs18Best ResponseYou've already chosen the best response.0
how did you get the 30?
 5 months ago

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

imehs18Best ResponseYou've already chosen the best response.0
after that. what is next?
 5 months ago

DecartBest ResponseYou've already chosen the best response.0
(15n)^2 gave me the thirty
 5 months ago

imehs18Best ResponseYou've already chosen the best response.0
how do i get the n now?
 5 months ago

DecartBest 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
 5 months ago

DecartBest ResponseYou've already chosen the best response.0
two factors of 54 that total to 15
 5 months ago

DecartBest ResponseYou've already chosen the best response.0
yes so those are your sides
 5 months ago

imehs18Best ResponseYou've already chosen the best response.0
thank you so much for your patience with me. i really appreciate it.
 5 months ago
See more questions >>>
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.