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Tomtit [17]
2 years ago
9

12. In PQR if mP is 14 less than five times x, mQ is five less than x, and mR is nine less

Mathematics
1 answer:
mash [69]2 years ago
6 0

Answer:

Step-by-step explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180  we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43

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3 years ago
1.What basic trigonometric identity would you use to verify that cot x sin x = cos x? . .
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3 years ago
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
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Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
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3 years ago
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2 and 1/5 is your answer.

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3 years ago
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