Use the figure to answer the questions.

Part A. Explain why the triangles are similar.

Triangle ___ and Triangle___ are similar by the _ postulate. This postulate works because...
(explain your reasoning here)

Part B. Find the value of y.
(show your work)

Please help! Thank you so much I appreciate it!

If f(x)=2x-6 and g(x)=3x+9, find (f-g)(x)

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

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?