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The polygons in each pair are similar.  Find the missing side length.                                                                                                      

A right triangle has a leg of length and hypotenuse of length Find the unknown length. Round to the nearest tenth if necessary.

A square has a perimeter of 20 inches. What is the distance from one corner of the square to the opposite corner? Which sketch draws the square and correctly solves for the distance from one corner to the opposite corner?

In circle O, arc ABC = 293.  What is the measure of the central angle  ?                                                                                    

A dance CD has 12 songs on it – 9 are slow, and 3 are fast.  When the DJ at a dance plays a song it is not played again.  All songs from the CD are played at random.What is the probability that the first two songs played are slow songs?                                                       

In circle O, arc AC = 90.  What is the measure of the inscribed angle  ?                                                                                    

In circle O, arc AC = 150.  What is the measure of the inscribed angle  ?                                                                                    

A spherical water balloon has a radius of 6 inches.  How many cubic inches of water will it hold?

To measure the width of a river, a ranger sights a tree across the river about 60 north of east. On the map, her position is marked A. Then, she walks along the river to position B and sights the same tree about 40 north of west. If each unit on the map represents 1 mile, about how many miles from her current position is the tree? Explain how you determined your answer.

Find the missing side. Round your answer to the nearest tenth.