A concession stand at a basketball game sells hamburgers and soda. Each hamburger costs $2.99 and each soda costs $1.99. At the end of the evening, the concession
stand made a total of $447. There was total of 187 hamburgers and sodas
combined sold. Which system of equations can be used to determine how many
hot dogs were sold and how many hamburgers were sold?

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.

answer: do we write it

step-by-step explanation: