2.) micheal will attend college in 5 years. he anticipates he will need $19,000 to pay for the first year. he currently has $6,400 in a savings account. without including any interest earned, what is a reasonable estimate of the amount micheal needs to deposit into his savings account each month over the next 5 years to be able to pay for his first year of college? a. $200 b. $350 c. $500 d. $650

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.