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Zepler [3.9K]
3 years ago
12

If angle w and angle v are supplementary angles and angle v=49, find angle w

Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer: 131°

Step-by-step explanation:

Supplementary angles are the angles that when we add them together, their sum is equal to 180°.

From the question, we are informed that angle w and angle v are supplementary angles and angle v=49.

V + W = 180°

49° + W= 180°

W = 180° - 49°

W = 131°

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For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
Can you help me I forgot
Rzqust [24]
Harrison walked a total of 14 km because the first rectangle has a perimeter of 6 km and the second has a perimeter of 8 km. Harrison’s brother walked a total of 12 km since that was the perimeter of the 5*1. 14-12 is 2 so there is a 2 km difference.
4 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line shown on the graph?​
Anvisha [2.4K]
The answer is C. 1/2

Hope this helps!
4 0
3 years ago
I’m this geometric sequence, what is the common ratio
Marrrta [24]
ANSWER:

D. - 1 / 2

This is as 104 ÷ - 52 = - 1 / 2

As well as this, - 52 ÷ 26 = - 1 / 2

And this ratio applies for the other numbers in the sequence as well.

Therefore, the answer must be - 1 / 2.

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4 0
3 years ago
Simplify 3 - b (7b + 2) + 3b - (11 - b)​
nirvana33 [79]

Answer: -7b² + 2b - 8

Step-by-step explanation:

<u>Given expression</u>

3 - b (7b + 2) + 3b - (11 - b)

<u>Expand parentheses and apply the distributive property if necessary</u>

=3 - b · 7b - b · 2 + 3b - 11 + b

=3 - 7b² - 2b + 3b - 11 + b

<u>Combine like terms</u>

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=\boxed{-7b^2+2b-8}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
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