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In the diagram, △ I T P ≅△ N G O . Find the values of x and y. Enter your solutions as numbers.

In the diagram, △ I T P ≅△ N G O . Find the values of x and y. Enter your solutions-example-1
User Benawad
by
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1 Answer

1 vote

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

User Menardmam
by
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