To get the solution of a set of equations means to get a point that satisfies both equations.
Part (1):The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this casePart (2): The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutionsPart (3):We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.
Hello, Katrina7!
Vertical angles are when two lines intersect they form two pairs of opposite angles.
I really hope this helps;)
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Answer:</h3>

<h3>
Step-by-step explanation:</h3>
In this question, it's asking you to find how much percentage the circle graph is for "A" papers.
To solve this question, we would need to use information from the question.
Important information:
- Graded 50 English research papers
- 12 of those papers had an "A" grade
With the information above, we can solve the question.
We know that there are 12 research papers that received an A and there are 50 research papers in total.
We would divide 12 by 50 in order to find the percentage of the papers that got an A.

When you divide, you should get 24.
This means that 24% of the circle graph is devoted to "A" papers.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>