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slega [8]
3 years ago
11

Solving for an Unknown Using the Distributive Property

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

<em><u>Complete Question:</u></em>

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?

<em><u>Answer:</u></em>

The numerator of fraction is -360

<em><u>Solution:</u></em>

Given that,

<em><u>The equation represents the angle measures, a, in a regular n-sided polygon is:</u></em>

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

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write an equation of the line passing through point p that is perpendicular to the given line p(6,10),y=-3x+13
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Answer:

y = \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = - 3x + 13 is in this form

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Given a line with slope m then the slope of a line perpendicular to it is

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y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 10) into the partial equation

10 = 2 + c ⇒ c = 10 - 2 = 8

y = \frac{1}{3} x + 8 ← equation of line


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