Consider the diagram and proof by contradiction. Given: ABC with ZB ZC
Prove: ABAC
It is given that ZB ~ 2C. Assume AB and AC are not
congruent. If AB > AC, then m2C>m ZB by
If AC > AB, then mZB>m2C for the same reason.
However, using the given statement and the definition of
congruency, we know that m ZB = m 2C. Therefore, AB
= AC and AB AC.
A
What is the missing reason in the proof?
O converse of the triangle parts relationship theorem
O substitution
O definition of congruency
converse of the isosceles triangle theorerything
B
с

Tim's phone service charges $23.06 plus an additional $0.22 for each text message sent per month. if tim's phone bill was $28.56, which equation could be used to find how many text messages, x, tim sent last month?

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.

Which is an x-intercept of the graphed function? (0, 4) (–1, 0) (4, 0) (0, –1)