Which of the following is true if the given tree diagram represents independent events?
Buys fiction
0.45
Buys
hardcover
0.35
0.55
Buys nonfiction
Buys fiction
0.45
Buys
paperback
0.65
0.55
Buys nonfiction

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

3

step-by-step explanation: