A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where
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.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>
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, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer:
the answer is 2. so it is 2
Step-by-step explanation:
2 ➕ 2 is 4
The first step would be to add 7 to both sides.
3n-7=30
add 7
3n=37
divide by 3
n=12.33
The value of x is 9.
We have : - 25 = 7 - (5x - 13)
We have to find the value of x.
<h3>If f(x) = g(x), than what do you understand by true solution of this equation?</h3>
The true Solution of the equation is the value of x for which LHS = RHS.
For example - if ax + b = cx + d , then
ax - cx = d - b
x =
is the true solution of the equation.
In the question given -
- 25 = 7 - (5x - 13)
- 25 = 7 - 5x + 13
5x = 45
x = 9
Hence, the value of x for which LHS = RHS is 9.
To solve more questions on finding unknown variable, visit the link below -
brainly.com/question/6866597
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Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.