The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

Answer:

The numerator of fraction is -360

Solution:

Given that,

The equation represents the angle measures, a, in a regular n-sided polygon is:

$a = \frac{180(n - 2)}{n}$

We have to solve the equation for "n"

Rearrange the equation

$a \times n = 180(n - 2)\\\\a \times n = 180n - 360\\\\an - 180 n = -360\\\\Take\ n\ as\ common\ factor\\\\n(a-180) = -360\\\\n = \frac{-360}{a - 180}$

Thus the numerator of the fraction is -360

4 0

3 years ago

Which equation models the cost of the tickets?

Gelneren [198K]

A.

10.50 divided by 2 is 5.25. meaning that each ticket is 5.25

4 0

3 years ago

A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are t

Reptile [31]

10 minutes I'm pretty sure. My calculations may be off but at least I tried

5 0

4 years ago