6. use the diagram to answer the following.

(4x - 30)
(y)
6(z + 8)
3(x - 1)º

a. find the values of x, y, and z that makes
p || 9 and 9 || r. explain your reasoning.
b. is p || r? explain your reasoning.
90
geometry
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a.

b. Yes, p || r.

Step-by-step explanation:

a.

From the figure,

Since, p || q,

 (∵ Alternate exterior angles are equal for parallel lines)

This gives,

Now, q || r

∴ (∵ Corresponding angles are equal for parallel lines)

This gives,

Now, since r is a straight line, and are supplementary angles.

Therefore, .

b.

Since, alternate exterior angles and are equal, the lines p and r are parallel because, alternate exterior angles are equal only if two lines are parallel.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option