3 years ago

Number of sides of shape: _5Number of degrees inside:

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

Step-by-step explanation:

The sum of the interior angles of a polygon with n side is

$180(n-2)$

So, for a polygon with 5 sides the expression is

$180\cdot 3 = 540$

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How to evaluate the limit

anzhelika [568]

$\displaystyle\lim_{x\to2}\frac{x^2-x+6}{x+2}$

Both the numerator and denominator are continuous at $x=2$ , which means the quotient rule for limits applies:

$\dfrac{\displaystyle\lim_{x\to2}(x^2-x+6)}{\displaystyle\lim_{x\to2}(x+2)}=\dfrac{2^2-2+6}{2+2}=\dfrac84=2$

Perhaps you meant to write that $x\to-2$ instead? In that case, you would have

$\displaystyle\lim_{x\to-2}\frac{x^2-x+6}{x+2}=\lim_{x\to-2}\frac{(x+2)(x-3)}{x+2}=\lim_{x\to-2}(x-3)=-2-3=-5$