The measure of central angle ycz is 80 degrees. circle c is shown. line segments x c, w c, y c, and z c are radii. the length of x c is 9. angle y c z is 80 degrees. sectors x c w and y c z are shaded. what is the sum of the areas of the two shaded sectors? 18 units2 36 units2 45 units2 81 units2

Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

True or false: the graph of y=f(bx) is a horizontal compression of the graph y=f(x) if b< 1