Apair of parallel lines is cut by a transversal, as shown: a pair of parallel lines is shown cut by a transversal. angle p is located in the upper right exterior next to the transversal, and angle q is located in the bottom left exterior corner of the transversal. which of the following best represents the relationship between angles p and q?   p = 180 degrees − q  q = 180 degrees − p  p = 2q  p = q

p = q

Step-by-step explanation:

By the alternate exterior angle theorem,

When two parallel lines are cut by the same transversal line then the alternate exterior angles formed are equal in measures,

Here, two parallel lines are cut by the same transversal ( in the given diagram )

Such that, p and q are alternate exterior angles,

Thus, by the above theorem,

p = q

LAST option is correct.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0