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jarptica [38.1K]
3 years ago
9

A store is advertising a sale with 10% off all items in the store. The sales tax is 5%. A 55-inch

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

$812.25

Step-by-step explanation:

Given data

Cost of TV=  $855

Discount= 10%

Tax= 5%

Let us find the amount of the Discount

=10/100*855

=0.1*855

=$85.5

Let us find the amount of the Tax

=5100*855

=0.05*855

=$42.75

Hence the cost of the TV is

=855+42.75-85.5

=897.75-85.5

=$812.25

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The interior of a regular polygon is 5 times the exterior angle
densk [106]

Step-by-step explanation:

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\frac{(n - 2) \times 180}{n}

The exterior angle of a polygon is given by

\frac{360}{n}

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The statement

The interior of a regular polygon is 5 times the exterior angle is written as

\frac{(n - 2) \times 180}{n}  = 5( \frac{360}{n} )

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Since the denominators are the same we can equate the numerators

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Divide both sides by 180

<h3>n = 12</h3>

<h2>I).</h2>

The interior angle of the polygon is

\frac{(12 - 2)  \times 180}{12}  =  \frac{10 \times 180}{12}  \\  =  \frac{1800}{12}

The answer is

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<h2>II.</h2>

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From the question

Interior angle = 150°

So the exterior angle is

Exterior angle = 180 - 150

We have the answer as

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<h2>III.</h2>

The polygon has 12 sides

<h2>IV.</h2>

The name of the polygon is

<h2>Dodecagon</h2>

Hope this helps you.

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3 years ago
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