In ΔEFG , what is the approximate length of EF if the measure of angle G is 50° and FG is 10 cm?

Mathematics

1 answer:

swat323 years ago

6 0

Hey again, you can use trigonometric ratios for this one. You are trying to find the side length opposite of angle G, when you have the adjacent side length value known. You can use TOA, or tan((opposite/adjacent)) . Tan(50) = x/10

X= 11.92 cm

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Solving for an Unknown Using the Distributive Property

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Complete Question:

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

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