Five families each own a cabin around a small lake. A map of the cabin locations around the lake is shown below. Diagram of cabins along a lake and similar triangles are formed by the distances between the cabins.

Note: The triangles formed on the map are similar triangles.

Part A: Using the first letter of each family's last name, write a statement that shows the relationship between the triangles formed on the map.

Part B: The Steele family is invited to the Tersch family's cabin for dinner. How far must they travel if they take their boat across the lake?

Part C: Show your work to support your answer to Part B.

One of the inventors of integrated circuits observed that the number of transistors that fit on an integrated circuit will double every 24 months. what type of relationship most appropriately models this situation?

What should be done to both sides of the equation in order to solve -5m = -40? a) multiply by -5. b) divide by -5. c) multiply by -40. d) divide by -40.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)