Give a direct proof of the following angles



Proof: STATEMENTS REASONS

m? 2 = m?4 = 180° ________________________


Mathematics

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Solve the problem.The Paperback Trader is a book store that takes in used paperbacks for 20% of their cover price and sells them for 50% of their cover price. Pat brings in a stack of 17 paperback books to trade and gets $17.17 credit. Some of the books had a cover price of $6.99, the rest $3.99. She wants to get some Tom Clancy books having a cover price of $6.99. How many $6.99 books did she bring in and how many Clancy books can she get without paying any additional cash?

A. 11 $6.99 books, 2 Clancy books B. 6 $6.99 books, 4 Clancy books C. 6 $6.99 books, 2 Clancy books D. 6 $6.99 books, 5 Clancy books

Mathematics

Solve the problem.The following numerical representation for f computes the average number of hours of television watched per day based on year of birth x.Give a numerical representation for a function g that computes the average number of hours of television watched per day for the year x, where  corresponds to the birth year 1975. Write an equation that shows the relationship between f(x) and g(x).

A.
f(x) = g(x + 1975)
B.
f(x) = g(x - 1900)
C.
f(x) = g(x) - 1975
D.
f(x) = g(x - 1975)

Mathematics

Provide an appropriate response.Determine the slope and the y-intercept of the graph of 7x - 11y = 77.

A. ; (0, 11)
B. 7; (0, 77)
C. ; (0, -7)
D. - ; (0, 7)

Mathematics

Convert as indicated. If necessary, round to two decimal places.4 liters to quarts

A. 1.04 qt B. 15.16 qt C. 3.8 qt D. 4.24 qt

Mathematics