Find the value of x, y, and z and show all your work.

Step-by-step explanation:

Look at the top triangle.  

It is an isosceles triangle because two of the sides are marked equal.  

The angles opposite the congruent sides are called base angles. (in the case x and z)

Base angles of an isosceles triangle are equal.

In addition, we use the Triangle angle sum theorem - the sum of the angles in a triangle is 180 degrees

60 + x + y = 180

x+z =120

but x = z so by substitution

x +x = 120

2x = 120

x = 60

z = 60

likewise for the bottom triangle:

50 +50 + Y = 180

Y = 80

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

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step-by-step explanation:

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