What is the angle supplementary to the angle measuring 165°12′?A. 75°12′
B. 180′
C. 14°48′
D. 60′

Answers

Answer 1
Answer: Two angles are supplementary if their sum is 180 degrees. One degree is made up of 60 minutes. So the angle supplementary to an angle measuring 165d12m is 180d - 165d12m, which gives us 14d48m. So the answer is C.
Answer 2
Answer:

Answer:

Option C is correct.

14^(\circ)48' is the angle supplementary to the angle measuring 165^(\circ)12'

Step-by-step explanation:

To find the angle supplementary to the angle measuring 165^(\circ)12'

Let A be the angle supplementary to the angle measuring 165^(\circ)12'.

Supplementary Angles states that the two Angles are Supplementary when they add up to 180 degrees.

Use the conversion:

1 degree = 60 minute.

Then, we have the given angle 165^(\circ)12' = 165(12)/(60) =165(1)/(5) =165.2^(\circ)

Now, by definition of supplementary angle;

\angle A + 165.2^(\circ)= 180^(\circ)

Subtract 165.2 on both sides we get;

\angle A= 180^(\circ) - 165.2^(\circ) =14.8^(\circ) =14^(\circ)48'

Therefore, the angle supplementary to the angle measuring 165^(\circ)12' is, 14^(\circ)48'





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Answers

the answer is d , i did the math

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to find the error in the solution

Answers

The solution of the student work is wrong

The remainder number should be 10

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are \boxed{:}} or \boxed{\slash}

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

\large{\boxed{\bold{dividend~/~divisor=quotient+remainder}}}

example:

7: 3 = 2 + 1

  • 7 = dividend
  • 3 = divisor
  • 2 = quotient
  • 1 = remainder

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

Mixed fractions consist of integers and ordinary fractions

Division operation statement:

"7 divided by 3 equals 2 remainder 1

mixed fractional form

\displaystyle {2(1)/(3) }

Mixed fractions can be expressed as ordinary fractions

a(b)/(c) = ((c*~a)+b)/(c)

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11.

Division operation statement:

"878 divided by 31 equals 28 remainder 11

This division operation is declared true if the result of:

(divisor x quotient) + remainder = dividend

So from the students work above we can check:

(31x28) +11 = 878

868 + 11 = 878

879 ≠ 878

So the results of the division of tasks from students are wrong

The remainder should be 10

878- (31x28) = 10

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878 ÷ 31 = 28 remainder of 10

28 × 31 = 868

878
-868
10

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?A. 0.8 = 0.8
B. –0.8 = –0.8
C. 3 = 3
D. –3 = –3

Answers

we have

1.4n + 2 = 2n + 3.2

we know that

If n=-2 is a solution of the equation

then

the value of n must satisfied the equation

Substitute the value of n in the equation

1.4*(-2) + 2 = 2*(-2) + 3.2

-2.8 + 2 = -4 + 3.2

-0.8 = -0.8 ----> the equation is true

so

The value of n is a solution of the equation

therefore

the answer is the option B

-0.8 = -0.8


1.4(-2)+2=2(-2)+3.2
-0.8=-0.8

(Permutations) what is he value of 8C6?

Answers

8C6 = 8!/[6!(8-6)!] = 56/2 = 28

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $60,239
. The variable costs will be
$10.50
per book. The publisher will sell the finished product to bookstores at a price of
$25.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

so the total=60239
so 10.5 per book
but -25.25 per book (since this is a negative cost or a gain)
so lets say they sell 1 book
it cost 10.5 and they gain 25.25 so they gain 14.75 total per book


so 14.75 times x books=60239
divide both sdies by 14.75
x=60239/14.75
then divide 60239 by 14.75 and get x=4084
they will need to sell 4084 books
assume the number of books X

the cost of the books = 60.239 + (10.50 X)
the sale amount = 25.25 * X

so 60.239 + 10.5 X = 25.25 X
60.239 = (25.25 - 10.5)X
60.239 = 14.75 X
X = 60.239 / 14.75

So X = 4.084 
so the publisher needs to sell 4 books

Write 2 litres 700 ml to the nearest litre

Answers

the nearest litre should be 3