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 x = 2.65, y = 3.81

Step-by-step explanation:

          ABC similar to PQR

1) Find the ratio of corresponding sides

2) Use that ratio to find values for x & y

        1) Side AB = 2.76cm & Side PR = y cm

             Side BC = x cm & Side RQ = 3.66 cm

         Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)    

Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14

Length of sides ABC = 3/4.14 times the length of sides PQR

           2)  x = (3 / 4.14) * 3.66 = 2.65

            Now solve for y, ABC to PQR:  2.76 = (3 / 4.14) (y )

equality property (both sides) & inverse operation to isolate y : .               2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (y)

              2.76 * (4.14 / 3) =  3 / 4.14 * (4.14 / 3) (y)

                     (2.76 * 1.38 ) =  3.81  = y

Scale Factor Method:  Determine the Multiplier

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