In a High School a survey was taken of 110 students to find out which sports they liked. The survey showed all the students who liked wrestling also liked football. Of those who like wrestling 13 also liked baseball.
There were 41 students who liked basketball, of those 26 liked football. None of the students who liked
basketball liked wrestling or baseball. There were 73 students who liked football and 25 of them only liked
football. There were 39 students who liked baseball and 22 of them only liked baseball.
Use the information from the survey above to match the letters in the venn diagram with the sports.
А
С
D
B
B

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

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.