mariMsJLucil6as3tewa mariMsJLucil6as3tewa
  • 19-11-2016
  • Mathematics
contestada

If the difference between the exterior angle of a n sided regular polygon and an (n 1) sided regular polygon is 12. find the value of n.

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 22-11-2016
Sum of exterior angle of a polygon is 360°
An n-sided polygon has n equal exterior angles.

360/n - 360/(n + 1) = 12
360(n + 1) - 360n = 12n(n + 1)
12n^2 + 12n = 360
n^2 + n - 30 = 0
(n - 5)(n + 6) = 0
n = 5 or n = -6

Therefore, n = 5
Answer Link

Otras preguntas

Most of the ATP made during cellular respiration is produced in which organelle?
What might make stereotype self fulfilling?
How many valence electrons are in each atom?
what does admire mean
Which part of this excerpt from Homer's Odyssey uses an epic simile? The king himself the vases ranged with care; Then bade his followers to the feast prepare.
What is the answer to 3z 5z 4-9? every time i answer it differently and i can't get the right answer.?
What was the u.s. poupuation in 1803??
Why does president kennedy detail what college, city and state he was speaking to??
If a pair of shoes is 110$ how much is is with 50% off
Finding a bigger problem to deal with ________________________. a. will distract us from all the other things in life with which we need to deal b. can make t