Given: quadrilateral mnol with mn ≅ lo and ml ≅ no prove: mnol is a parallelogram. complete the paragraph proof. we are given that mn ≅ lo and ml ≅ no. we can draw in mo because between any two points is a line. by the reflexive property, mo ≅ mo. by sss, △mlo ≅ △. by cpctc, ∠lmo ≅ ∠ and ∠nmo ≅ ∠lom. both pairs of angles are also , based on the definition. based on the converse of the alternate interior angles theorem, mn ∥ lo and lm ∥ no. based on the definition of a parallelogram, mnol is a parallelogram

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?

Alicia puts $400 in a bank account. each year the account earns 5% simple interest. how much money will be in her bank account in six months?

Si la base de un triángulo isósceles mide 70 m y el ángulo opuesto a ésta mide 58°; entonces ¿cuánto mide la altura de dicho triángulo? a) 21.87 m. b) 40.01 m. c) 43.74 m. d) 63.14 m.