Ben uses a compass and a straightedge to construct ∠def ≅ ∠abc, as shown below: the art shows two figures. the figure on the left shows two rays ba and bc having a common end point b. an arc drawn from b cuts the ray ba at h and the ray bc at i. the figure on the right shows two rays ed and ef having a common end point e. an arc drawn from e cuts the ray ed at j and the ray ef at k. another arc drawn from k cuts the ray ed at j. which statement best explains why ben uses the width hi to create the arc at j from point k?

If f(x) = 2x + 2 and g(x) = x? , what is (gºf)(2)?

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.

If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).