1/3 belongs to the rational set and to the real set.
<h3>
To which sets does the number below belong?</h3>
Here we have the number 1/3.
First, remember that we define rational numbers as these numbers that can be written as a quotient between two integers.
Here 1 is an integer and 3 is an integer, then 1/3 is a rational number.
Also, the combination between the rational set and the irrational set is the set of the real numbers, then 1/3 is also a real number.
Then, concluding:
1/3 belongs to the rational set and to the real set.
If you want to learn more about rational numbers:
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The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)
<h3>What is the function of f(x) of a linear equation?</h3>
The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0
From the given information:
y = f(x) = -7x - 1
We can determine the:
- Slope (m)
- x-intercepts, and
- y-intercepts.
y = -7x - 1
Slope (m) = -7
Set the values of y = 0 to determine the x-intercepts.
0 = -7x - 1
7x = - 1
x = -1/7
x-intercepts = (-1/7, 0)
Set the values of x = 0 to find the y-intercepts.
y = -7(0) - 1
y = - 1
y-intercepts = (-1, 0)
Learn more about the function of a linear equation here:
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In the rhombus, the diagonals are perpendicular.
We know, the sum of the measures of the triangle is equal 180°.
Therefore we have the equation:

<em>combine like terms</em>

<em>subtract 75 from both sides</em>
<em>divide both sides by 5</em>

<h3>Answer: x = 21°</h3>