For the given figure the hexagon is regular and the shaded regions are rhombi.
(a) Describe the rotational symmetries of the figure or explain why none exist.
(b) Sketch the lines of symmetries on the figure or explain why none exist.
(a) There are two nontrivial rotational symmetries about point A. 120° and 240°
(b) There are no lines of symmetry—there is no way to sketch a line that you can fold the
figure in half around and match the opposite sides.
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Graph the inequality.y ? cos 3x
A.
B.
C.
D.
Solve for x. -
>
A. x <
B. x > 1
C. x >
D. x < 1
Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
A.
B. -82
C. 82
D.
Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. z = -x - 8y. Find maximum.
A. maximum: -42 B. maximum: -20 C. maximum: -34 D. maximum: -27