Lines l and m are horizontal and are intersected by lines p and q. At the intersection of lines l and p, the uppercase left angle is 130 degrees. At the intersection of lines q and l, the bottom right angle is 130 degrees. At the intersection of lines m and q, the uppercase right angle is 80 degrees. Which lines are parallel? Justify your answer.

Lines p and q are parallel because same side interior angles are congruent.
Lines p and q are parallel because alternate exterior angles are congruent
Lines l and m are parallel because same side interior angles are supplementary
Lines l and m are parallel because alternate interior angles are supplementary.

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?

Write the equations in logarithmic form 10^3=1,000

Proving the congruent supplements theorem