To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram. How does he know the lengths of AB and XY are equal?

A. AAS and then corresponding parts of congruent triangles are congruent

B. SSS and then corresponding parts of congruent triangles are congruent

C. SAS and then corresponding parts of congruent triangles are congruent

D. ASA and then corresponding parts of congruent triangles are congruent

Ineed mega george is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

Trish receives $450 on the first of each month. josh receives $450 on the last day of each month. both trish and josh will receive payments for next four years. at a discount rate of 9.5 percent, what is the difference in the present value of these two sets of payments?

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years