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xz_007 [3.2K]
3 years ago
6

An angle measures 12 degrees less than three times its supplement. Find the measure of the angle.

Mathematics
2 answers:
lianna [129]3 years ago
6 0

Ok, so you knnow that for angles to be supplement, they need to equal 180 degrees. So you can create an equation as follows:

(3 times X minus 12) degrees plus (x)degrees equals 180 degrees

(3x-12) + (x)=180

4x-12=180

4x=192

x=48

So now you plug in "x=48" into this equation (3x-12) to find the measure of the angle.

And if I did the math correctly, the answer should be "132" degrees.

Assoli18 [71]3 years ago
6 0

A supplement to an angle means that it is 180 - the angle, or what makes it a straight line. Ex. the supplement to 89 degrees is 91; 89 + 91 = 180

Now that we know that, we can solve for the angle

Let x = the angle wanted

x = 3(180 - x) -12

x = 540 - 3x - 12

4x = 540 - 12

4x = 528

x = 132

now if we want to test it,

132 = 3(180 - 132) -12

132 = 3(48) - 12

132 = 144 - 12

132 = 132

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3 years ago
If the quotient of a number and 6 is added to 1/3, the result is 7/6. Find the number.
lisabon 2012 [21]

The number is 4.

<h3>What is the Quotient?</h3>

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let n be the number in question; then, we can write the word problem as an equation like this:

⇒ (n/6) + 1/3 = 7/6

Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.  

⇒ 6(n/6) + 9(1/3) = 6(7/6)

⇒ n + 3 = 7

Subtract 3 from both sides,

⇒ n = 4

Hence, the number is 4.

Learn more about the quotient here:

brainly.com/question/27796160

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3 0
1 year ago
Hi. Could someone please help me help my son with his homework. TIA
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3 years ago
According to the line plot how many apples were weighed​
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8 0
3 years ago
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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)
choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

6 0
3 years ago
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