In the diagram, △ i t p ≅△ n g o . find the values of x and y. enter your solutions as numbers.

Remark

You probably should start with y. <O says that 6y - 14 is equal to <P because they are corresponding parts of equal triangles.

Equation

6y - 14 = 40                    Add 14 to both sides

6y - 14 + 14 = 40 + 14     Combine terms on both sides

6y = 54                           Divide both sides by 6

6y/6 = 54/6                     Combine

y = 9            

Now find x

IT = NG                          Conclusion from Conguency

7.5 = x - 2y                    Substitute for y

7.5 = x - 2*9            Combine right factors.

7.5 = x - 18               Add 18.666 to both sides

7.5 + 18 = x              combine

x = 25.5                        

Answer

x = 25.5

y = 9