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EleoNora [17]
3 years ago
10

Two angles are complementary. If one angle measures 50 degrees, what is the measure of the second angle

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

The other angle is 40 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

x+50 = 90

Subtract 50 from each side

x+50-50 = 90-50

x = 40

The other angle is 40 degrees

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Let R be a system consisting of rational expressions. Which operations are closed under R
Alex_Xolod [135]

We say that a set of numbers is <em>closed</em> under an operation when, no matter which two numbers we pick to use it on, we always end up with another number in the set.

The <em>natural numbers</em>, the positive whole numbers, are the first kind you ever learn about - 1, 2, 3, 4, 5, 6, etc. We say that the natural numbers are <em>closed under addition</em> because the <em>sum </em>of any two natural numbers is another natural number (e.g. 2 + 3 = 5, 67 + 52 = 109, etc.) We can also say that they're closed under multiplication, since the <em>product </em>of any two of them gives us another natural number (2 x 3 = 6, 10 x 7 = 70, 54 x 65 = 3510).

The natural numbers are <em>not </em>closed under subtraction, though, since problems like 3 - 5 = ? have no natural number solutions. We have to extend our number system to the <em>integers</em>, the set of all positive and negative whole numbers including 0, to make that solution possible, and we can then find that 3 - 5 = -2, an integer. We can now say that <em>the integers are closed under addition, subtraction, and multiplication</em>.

There are still situations we can't handle with just the integers, though. 3 ÷ 5 = ? has no solution in the integers since the solution isn't a whole number. To fix this, we extend our system again and finally reach the rational numbers, numbers written as ratios between integers (1/2, 3/6, -7/10, etc.) We can now add, subtract, multiply, and divide any two rational numbers and end up with another rational number, so we can say addition, subtraction, multiplication, and division are closed under R.

5 0
4 years ago
Read 2 more answers
6/6=42/_<br>Fill the blank space with the answer ​
artcher [175]

Answer:

42

Step-by-step explanation:

6/6 = 1

42/42 = 1

8 0
3 years ago
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Which ordered pair is NOT a solution to the inequality in the graph?
aalyn [17]

Given:

The inequality is

y\leq 3x+2

To find:

The ordered pair that is NOT a solution to the inequality in the graph.

Solution:

We have,

y\leq 3x+2

Checking the inequality for (0,0), we get

0\leq 3(0)+2

0\leq 2

So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.

Checking the inequality for (-2,-4), we get

-4\leq 3(-2)+2

-4\leq -6+2

-4\leq -4

So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.

Checking the inequality for (0,2), we get

2\leq 3(0)+2

2\leq 2

So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.

Checking the inequality for (-3,4), we get

4\leq 3(-3)+2

4\leq -9+2

4\leq -7

This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.

Therefore, the correct option is D.

6 0
3 years ago
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What is b? 0=-1/5(-1)+b
dybincka [34]

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

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3 years ago
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Find the domain of the following set:<br> {(-5,-5), (-3, 4), (0, 1), (2,5)}
umka21 [38]

Answer:

Hi! The answer to your question is {-5,-3,0,2}

Step-by-step explanation:

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<em>Hope this helps!!</em>

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