1. The diagram below models the layout at the county fair. Suppose the two triangles in the diagram are similar.
100
Refreshmen
Petting Zoo
112
112
Restroom
140
Rides
Park
Entrance
a. How far is the park entrance from the rides? Show/explain your work to justify your solution process.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?