use the counting principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9

First page:

Angles B and C >>> vertical angles

C + D is 180 because they form a >>> straight line

D and E are congruent bc they are alternating interior.

Second page:

If A = 72 degrees, then D is 72 degrees. E and G would also be 72 degrees.

If A = 72, just remember that A + B = 180 (bc together they are a straight line), so 180-72 = 108. So Angle B is 108 degrees.

If B is 108 degrees, then C, F and H are also 108 degrees.

So the actual questions in the order listed:

B = 108 degrees

D = 72 degrees

E = 72 degrees

F = 108 degrees

H = 108 degrees

G = 72 degrees

Answer:

Option C.

Step-by-step explanation:

We have to solve by synthetic division and tell the quotient.

First we will write the numerator in the standard form as

Which will become as

Since denominator of the fraction is (x -1) therefore we take x = 1 as zero root.

Now we form the synthetic form as below

          1        0      0    0      -1

1          1        1       1      1      0

          x³      x²      x    

Here coefficient of x³ is 1, for x² is 1, for x is 1, and constant term 1.

Now the fraction will come in the form of  

Therefore quotient will be

Option C. is the answer