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5. What is the location of the centroid in guriangle whose vertices are C(-3,-5),E(1,3) and N(5,-7) A. R(1,-3) B. T(3,-2) C. O(-1,-4) D. D(-1,-3)

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5. What is the location of the centroid in guriangle whose vertices are C(-3,-5),E(1,3) and N(5,-7) A. R(1,-3) B. T(3,-2) C. O(-1,-4) D. D(-1,-3)

5. What is the location of the centroid in guriangle whose vertices are C(-3,-5),E(1,3) and N(5,-7) A. R(1,-3) B. T(3,-2) C. O(-1,-4) D. D(-1,-3)

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HollyElite · Tutor for 8 years

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<p> A</p>

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<p> The centroid of a triangle with vertices at coordinates A(X1, Y1), B(X2, Y2), C(X3, Y3) it is located at the coordinates given by:<br /><br />G = [(X1+X2+X3)/3, (Y1+Y2+Y3)/3]<br /><br />Applying these rules to the given vertices of Triangle CEN: <br />C is (-3, -5) <br />E is (1, 3)<br />N is (5, -7) <br /><br />The X coordinate of the centroid (Gx) is: (-3+1+5)/3 = 1 <br />The Y coordinate of the centroid (Gy) is: (-5+3-7)/3 = -3 <br /><br />Therefore, the centroid of the triangle is at the coordinates (1, -3).</p>
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