Mathematics, 10.09.2021 18:50 Ashlynnocean6305
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.
Movie Rentals
Number of Movies
Movies Plus
(Cost in $)
Movies For Less
(Cost in $)
0
10
0
2
14
6
4
18
12
10
30
15
Which statement is true if 15 movies are rented from each company?
Movies For Less costs $5 more.
Movies Plus costs $5 more.
Movies Plus costs $6 more.
Each company charges the same amount.
Answers: 2
Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
Answers: 2
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