Macy went to the movie theatre and wanted to get nachos, 2 cold drinks and 1 small popcorn. Cold drinks cost $4.90, small popcorns cost $5.50 and nachos cost $3,75 and 50 cents more for extra cheese. How much money did she have to pay

d

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.