Based on the pattern of the drawings which conjecture is reasonable to make? a. when a pair of parallel lines is intersected by a third line, the corresponding angles are complementary b. when a pair of parallel lines is intersected by a third line, all of the angles formed are congruent. c. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruentd. when a pair of parallel lines is intersected by a third line, the corresponding angles are supplementary.

Find the value of x. give reasons to justify your solutions! h ∈ ig

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Last week , donnell practiced the piano 3 hours longer than marcus . together, marcus and donnell practiced the piano 11 hours . for how many hours did each young man practiced the piano