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The total number of degrees, d, in an n-sided polygon is given by the formula d = 180 (n minus 2) when janelle solves for n, she gets n = startfraction d + 360 over 180 endfraction. Sophie solved the same equation for n and got an equivalent equation. Which of the following could be sophie’s equation?.

Sagot :

Answer:

n= D/180   +2

Explanation:

you can come to the same answer as the first equation if you solve using the degrees to find the number of sides

Sophie's equation could be (a) [tex]n = \frac{d}{180} + 2[/tex]

How to determine the equivalent equation?

See attachment for complete question

The equations are given as:

d = 180(n - 2)

[tex]n = \frac{d + 360}{180}[/tex]

To determine the equivalent equation, we start by expanding the fraction

[tex]n = \frac{d}{180} + \frac{360}{180}[/tex]

Next, we divide 360 by 180

[tex]n = \frac{d}{180} + 2[/tex]

Hence, Sophie's equation could be (a) [tex]n = \frac{d}{180} + 2[/tex]

Read more about equivalent equation at:

https://brainly.com/question/2972832

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