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

1,645,493,059.35

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.