Sara draws three pairs of parallel lines with a 3rd line intersecting each pair. she measures some pairs of alternate exterior angles as shown. what is a reasonable conjecture for sara to make by recognizing a pattern and using inductive reasoning? a) when a pair of parallel lines are intersected by a third line, alternate exterior angles are supplementary. b) when a pair of parallel lines are intersected by a third line, alternate exterior angles are acute. c) when a pair of parallel lines are intersected by a third line, alternate exterior angles are congruent. d) when a pair of parallel lines are intersected by a third line, alternate exterior angles are complementary

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Which of the following is true for the relation f(x)=2x^2+1

What is the radical expression that is equivalent to the expression 27 1 over 5?