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What is the volume of the triangular prism in cubic centimeters?

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1 answer:

Misha Larkins [42]2 years ago

4 0

Answer:

b because it just is

Step-by-step explanation:

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Find the number of sides for a regular polygon whose interior angles each measure 10 times each exterior angle

gavmur [86]

Answer:

22 sides

Step-by-step explanation:

The expression to find an interior angle of a polygon is:

$\frac{(n-2)*180}{n}$

The expression to find an exterior angle of a polygon is:

$\frac{360}{n}$

Please note that "n" represents the number of sides the polygon has.

We can use these two expressions to set up an equation.

$\frac{(n-2)*180}{n}=10(\frac{360}{n})$

Multiply both sides by "n":

$(n-2)*180=10n(\frac{360}{n})$

Now, distribute:

$180(n)-180(2)=\frac{3600n}{n}\\180n-360=3600$

Divide both sides by 10:

$\frac{180n}{10}-\frac{360}{10}=\frac{3600}{10}\\$

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Add 36 to both sides:

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Divide both sides by 18:

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