How do I find the value of x in each diagram?

x = 52°

Step-by-step explanation:

The sum of the exterior angles of a polygon

The sum of the exterior angles of a polygon is always 360° regardless of the number of sides.

The figure shows five angles that are exterior to the central pentagon.

The sum of all those angles is:

52 + 2x + 88 + x + 10 + x + 2

And that sum must be equal to 360, thus:

52 + 2x + 88 + x + 10 + x + 2 = 360

Simplifying:

4x + 152 = 360

Subtracting 152:

4x = 208

Dividing by 4:

x = 208/4 = 52

x = 52°

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

0.038

step-by-step explanation: