Question

Geometry. Regular polygon. Find the value of x.
3x+32 and 13x+27 its a nine sided figure. Please Help

Answer 1

what does 3x + 32 and 13x + 27 represent?

Answer 2

the sides. it shows a nonagon and on one side it says 3x+32 and on another side it says 13x+27

Answer 3

if its a regular nonagon then all sides are equal
so 13x + 27 = 3x+ 32
10x = 32-27 = 5

Answer 4

you don't need to use the fact its a nonagon - it would be true for any regular polygon

Answer 5

thanks. How do you know weather to add or subtract when you set them equal to each other

Answer 6

ok the usual way to do this is
13x + 27 = 3x + 32
aim to bring terms in x to left and numbers to right of '='
subtract 27 from both sides
13x = 3x + 32 - 17
subtract 3x from both sides
13x - 3x = 32 - 27
10x = 5
divide both sides by 10:
x = 0.5