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    Complementary Angles and Systems of Equations

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    Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five.

    A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations and two unknowns.)

    B. Graph each of the equations on one rectangular coordinate system. (Hint: You must get y by itself before graphing.) Scale the graph accordingly; you will need your x-axis and y-axis to go to at least 100.

    C. What do you notice about the intersection of the two lines?

    D. Solve the system of equations in part A to determine the degrees of each angle by using Gaussian elimination.

    Reference

    Alexander, D. C., & Koeberlein, G. M. (2003). Elementary geometry for college students (3rd ed.). Boston: Houghton Mifflin.
    keywords: compliment, complimentary

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    Solution Preview

    Two angles are complimentary of each other. Twice one angle is equal to the other angle plus the product of three and five.

    A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations and two unknowns.)

    Let the two angles be x and ...

    Solution Summary

    This solution answers four questions about two complementary angles, addressing a system of linear equations, rectangular coordinate systems, intersections and the Gaussian elimination.

    $2.49

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