Agym is in the process of purchasing new 5-pound and 8-pound dumbbells for their aerobics room. each 5-pound dumbbell costs $8 and each 8-pound dumbbell costs $12. the entire shipment of dumbbells costs $432 and weighs 282 pounds. which equations can be used to find the number of 5-pound dumbbells, x, and the number of 8-pound dumbbells, y, in the shipment?

answer: sensy

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.