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Answer:
The solution in the attached figure
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area at left of the solid line x=-3
----> inequality B
The solution of the inequality B is the shaded area below the solid line
The solution of the system of inequalities is the shaded area between the two solid lines
using a graphing tool
see the attached figure
The correct option that depicts the centroid of the triangle is; C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
<h3>How to interpret the segments formed from Triangle Centroid?</h3>The center of inscribed circle into the triangle is the point where the angle bisectors of the triangle meet.
The center of the circumscribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.
Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides. Thus, the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle.
Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Thus, the correct option is option C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Read more about Triangle Centroid at; brainly.com/question/7644338
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