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Fudgin [204]
3 years ago
7

Triangle MNP is the image of triangle JKL after a 120 degrees counterclockwise rotation about point Q. If the measure of angle L

is 47 degrees and the measure of angle N is 57 degrees, determine the measure of angle M. Explain how you arrived at your answer.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0
Either 129 or 46 inches
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In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an
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Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate = 8\frac{1}{2}\%=8.5\%

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

= \frac {8.5}{100}\times 12.99

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

= \frac {8.5}{100}\times 39.99

=3.30

So, the sales tax on the book is $ 3.40.

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So, the tax on the video game is $ 2.30 more than then tax on the book.

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3 years ago
After a 75% reduction, you purchase a new DVD player on sale for $136. What was the original price of the DVD player
iogann1982 [59]

Answer:

$544

Step-by-step explanation:

To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:

$136 → 25%

  x    ← 100%

x=(136*100)/25=$544

According to this, the answer is that the original price of the DVD player was $544.

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3 years ago
A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $30 an hour for his own labo
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Answer:

The plumber worked 50 hours, and his assistant worked 25 hours.

Step-by-step explanation:

Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:

40 x 30 + 20 x 20 = 1200 + 400 = 1600

50 x 30 + 25 x 20 = 1500 + 500 = 2000

Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.

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The temperature in beaker 2 was 5°
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