Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Step-by-step explanation:
You know that the first equation is:
And the second equation is:
According to the Addition property of equality:
If 
; then 
Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:
Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.
If you want to verify this, you can solve for "x" from both equations:
- First equation:
- Second equation:
Answer:
n°
Step-by-step explanation:
Your selection is correct. Once again, they are alternate angles, meaning they're equal to one another.
It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.
Considering their concepts, on the graph of a function, the domain and the range are given as follows:
- Domain: Horizontal axis, values of x.
- Range: Vertical axis, values of y.
<h3>What are the domain and the range of a function?</h3>
- The domain of a function is the set that contains all the values of the input.
- The range of a function is the set that contains all the values of the output.
In a graph, the horizontal axis represents the input and the vertical axis represents the output, hence the domain and the range are given as follows:
- Domain: Horizontal axis, values of x.
- Range: Vertical axis, values of y.
More can be learned about the domain and the range of a function at brainly.com/question/10197594
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Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
