48 the table shows the results of a random survey of children between the ages of 10 and 15 about their favorite food. pizza hamburger chicken fingers hot dogs mac and cheese 67 42 59 14 24 based on these results, if 375 children are asked about their favorite food, how many children will prefer pizza? enter your answer, rounded to the nearest whole number, in the box.

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.