Trapezoid is shown with vertices at negative 5 comma 1, negative 4 comma 3, negative 2 comma 3, and negative 1 comma 1. What series of transformations would carry the trapezoid onto itself? (x + 0, y − 4), 90° clockwise rotation, reflection over the y-axis (x + 0, y − 4), 180° rotation, reflection over the y-axis (x + 6, y + 0), 90° clockwise rotation, reflection over the x‐axis (x + 6, y + 0), 180° rotation, reflection over the x‐axis

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.