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.

well, if you graph the linear equation using intercepts or other methods, and the line is straight, then the equation is linear

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