The jensen family took a trip in september. sally is calculating the gas mileage in miles per gallon for her dads suv. when he fills the tank ,her dad records the miles on the suv as 24033. her dad pays $83.58 i fill up the empty gas tank of the suv. what is the size of the suv's tank in gallons

they are simplified

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.