3 years ago

How is the formula for finding the sum of interior angle measures of polygons dervived

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Step-by-step explanation:

Draw lines from one vertex to the other vertices, splitting the polygon into triangles. If the polygon has n sides, there will be n−2 triangles. Each triangle's angles add up to 180°. So the sum of all the interior angles is:

S = (n−2) 180°

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Maurice earns a commission of 6,048 from the sale of a Lexus, priced at $50,400. What is Maurice's commission rate?

Nutka1998 [239]

Answer:

commission rate of Maurice is 12%

Step-by-step explanation:

Maurice earns commission = $6,048

Lexus priced at = $50,400

Maurice's commission rate =

= $\frac {commision}{rate} \times 100$

= $\frac{6048}{50400} \times 100$

=12 %

hence the commission rate of Maurice is 12%

8 0

3 years ago

Which equation is represented by the table?

swat32

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Please like and I hope this helps :)

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3 years ago

Which equation can be used to solve the following word problem? Seth has 8 more nickels than dimes, and the total value of his c

9966 [12]

Answer:

Seth has 21 nickels

Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

$5n+10(n-8)=235.$