Find the measure of an exterior angle of a regular polygon with 19 sides. Round to the nearest tenth if necessary. Question 10 options:

Yes; Opposite sides are parallel.

Yes; Diagonals bisect each other.

Yes; Diagonals are congruent.

No; Diagonals are not congruent.

Each exterior angle measures 360/19 degrees, approximately 18.9 degrees.

Step-by-step explanation:

Start at one vertex of the polygon and go clockwise.  When you reach the next vertex, you change direction.  At each vertex you change direction by the same angle.  When you are back to the first vertex, and start along the first side, you have completed a full 360 degrees clockwise.  Since there are 19 sides and vertices, you must have turned 360/19 degrees at each vertex.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0