Amanda and stephen wrote the following proofs to prove that vertical angles are congruent. who is correct? line segment nt intersects line segment mr forming four angles. angles 1 and 3 are vertical angles. angles 2 and 4 are vertical angles. amanda's proof statement justification ∠1 + ∠4 = 180° definition of supplementary angles ∠3 + ∠4 = 180° definition of supplementary angles ∠1 + ∠4 = ∠3 + ∠4 transitive property of equality ∠1 ≅ ∠3 subtraction property of equality stephen's proof statement justification ∠1 + ∠2 = 180° definition of supplementary angles ∠2 + ∠3 = 180° definition of supplementary angles ∠1 + ∠2 = ∠2 + ∠3 transitive property of equality ∠1 ≅ ∠3 subtraction property of equality

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 number completes the system of linear inequalities represented by the graph? y> 2x – 2 and x + 4y 2 et 2 3 4

Nikolas calculated the volume of the prism. his work is shown below.