A​ town's population is 58,200. About 75 people move out of the town each month. Each​ month, 200 people on average move into town. A nearby town has a population of 60,600. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation. Then solve the equation and answer the question. Which equation models the​ situation? A. 200m−75m+58,200=60,600−175m B. 200m−75m+60,600=58,200−175m C. 200m+75m+60,600=58,200+175m D. 200m+75m+58,200=60,600+175m

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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.