how many points does a figure have
Q no 29
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hey mate
here is your answer
let the number of points be n
thus,it will have n sides also
therefore ,the total number of lines would be the sum of the number of sides and the number of diagonals.
the formula to find the number of diagonals=n(n-3)/2
that is :
=>15=n+n(n-3)/2
=>15=(2n+n²-3n)/2
=>30=n²-n
=>n²-n-30=0
=>n²-6n+5n-30=0
=>(n-6)(n+5)=0
therefore n=6
as n≠-5
hence,the number of points of the figure =6
#be brainly
here is your answer
let the number of points be n
thus,it will have n sides also
therefore ,the total number of lines would be the sum of the number of sides and the number of diagonals.
the formula to find the number of diagonals=n(n-3)/2
that is :
=>15=n+n(n-3)/2
=>15=(2n+n²-3n)/2
=>30=n²-n
=>n²-n-30=0
=>n²-6n+5n-30=0
=>(n-6)(n+5)=0
therefore n=6
as n≠-5
hence,the number of points of the figure =6
#be brainly
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