56: 22
in each circle below, a 50° angle with a vertex at the center of the circle is drawn. how are minor arc lengths cd and ef
related?
a <
50
bf
50°
2 cm
cm
they are the same because the central angle measure is the same.
the arc lengths are proportional: cd = 2 ef

What is the value of x in the diagram below?

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²