nbautista22 nbautista22
  • 12-03-2017
  • Mathematics
contestada

The total number of sides in two regular polygons is 13, and total number of diagonals is 25. How many sides are in each polygon?

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taskmasters
taskmasters taskmasters
  • 22-03-2017
let x be the sides of one polygon
y be the sides of the other polygon

x + y = 13
y = 13 - x

then the formula for the number of polygons is n(n - 3) / 2

x(x - 3) / 2  + y(y - 3) / 2 = 25
x(x - 3) / 2 + ( 13 - x) ( 13 - x - 3) / 2 = 25
x( x - 3 ) / 2 + ( 13 - x) ( 10 - x) / 2 = 25

solve for x
x = 8
y = 13 - 8 = 5
Answer Link
askmandrs askmandrs
  • 14-03-2022

Answer:

5 and 8

Step-by-step explanation:

brain boy

Answer Link

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