The conditional relative frequency table was generated using data that compared the cost of one ticket for a
performance and the method by which the ticket was
purchased.
Given that Lorenzo paid more than $30 for a ticket,
what is the probability that he purchased the ticket at
the box office?
O 0.14
Ticket Purchases
O 0.18
No More
than $30
More than $30
Total
0.30
0.7
0.86
0.86
0.82
Purchased
Online
Purchased
at the Box
Office
0.3
0.14
0.18
Total
1.0
10
No

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.