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USPshnik [31]
3 years ago
12

∠ A and ∠B are vertical angles. Find each angle if, m∠ A=7x+2 and m∠ B=4x+11. Solve for x

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

Vertical angles are equal so

<A = <B

7x+2 = 4x+11

Subtract 4x from each side

7x+2-4x = 4x+11-4x

3x+2 =11

Subtract 2 from each side

3x+2-2 = 11-2

3x = 9

Divide by 3

3x/3 = 9/3

x=3

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A company has $14,000 in liabilities and $15,000 in equity. Calculate the company's debt to equity ratio as a percentage.
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The required debt-equity ratio is 14:15

<u>Solution:</u>

<em>Given:</em>

Liabilities of the company = $14000

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Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

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5 0
3 years ago
2. Peter, Jeff, and John, each perform subtraction incorrectly as follows:
grandymaker [24]

Answer:

peter: subtraction mistake at unit place . wrote 6 in place of 9

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Step-by-step explanation:

we have to subtract 503 from 269

      9

  4 10 13

    503

   -269

    ____

     234

Solution

since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\

thus

5 becomes 4, 0 becomes 10,

now 10 can be give  1 carry to 3 at unit place, so 3 becomes 13

now 9 is subtracted from 13

13-4 = 9

this is the mistake of Peter

he has written 6 at unit place which should be

peter: subtraction mistake at unit place . wrote 6 in place of 9

____________________________________________________

since , 1 is carried from 10 at tens place, 9 is left at tens place

so we know subtract 6 from 9 at tens place

9-6 = 3

Here mistake is done by Jeff

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

________________________________________________

at hundred place,

one is taken from 5 , hence 4 is left at hundred place

we have to subtract 2 from 4

4-2 = 2

hence,

Here, mistake done by both both Peter and jeff

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

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