Can you please help
1 answer:
<h3>Answer: D) Angle 6 and angle 16</h3>
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Explanation:
We have four lines that form 4 intersection points. Let's label these points A,B,C, and D. Check out the diagram below.
We can say that angle 1 is a corresponding angle to angle 9 because
- a) The two angles are in the same position of their four corner configuration (both are in the north of each four corner configuration)
- b) the angles mentioned are at points that are adjacent to one another. Point A is adjacent to point D
Similarly, angles 4 and 12 are corresponding as well. They are both in the east quadrant and point A is adjacent to point B. A similar thing happens with angles 5 and 7.
In contrast, angles 6 and 16 are not corresponding angles. Yes they are both in the south quadrants of their four corner configuration, but point A is not adjacent to point C. Angle 6 corresponds to only angle 14 and angle 8, but not angle 16.
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Given:
The inequality is:
To find:
The domain and range of the given inequality.
Solution:
We have,
The related equation is:
This equation is defined if:
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.