The opposite angles where two lines cross are called <em>vertical angles.</em><em> </em>
Say it with me: "Vertical angles are congruent!"
Answer: x=100
Answer:
The correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by
Option D is correct option.
Step-by-step explanation:
The circumference of table top = 24
inches
We need to find area of table top
The formula used to find area is: 
We need to find radius of tabletop.
The formula used to find circumference is: 
Putting value of circumference we can find radius

So, radius of table top = 12
Now, finding the area:

So, the correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by
Option D is correct option.
Answer:

Step-by-step explanation:
You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

So,

you can work the equation backward now and you will get your original equation.
Answer:
sample size if he uses a previous estimate of 32% is 523
sample size if he does not use any prior estimates is 601
Step-by-step explanation:
estimate E = 4 percentage = 0.04
confidence Cl = 95% = 0.95
previous estimate p = 32% = 0.32
q = 1 - 0.32 = 0.68
to find out
size of sample
solution
first we calculate z value for 95% confidence E = 0.04 is 1.96
from probability P(-1.96 < z < 1.96) = 0.95)
here z = 1.96
so in 1st part size of sample we know
E = z × 
put all value E, z p and q and we get n
n = (z/E)² ×p×q
n = (1.96/0.04)² ×0.32×0.68
n = 523
sample size if he uses a previous estimate of 32% is 523
now in 2nd part we take p = 0.5
so n will be
n = (z/E)² ×p×q
n = (1.96/0.04)² ×0.5×0.5
n = 601
sample size if he does not use any prior estimates is 601