A.the measures of the angles must be equal
Vertical Angles- are the angles opposite of each other when two lines cross. They are always equal.
Answer:
D and E
Step-by-step explanation:
Both of these answers are still equal to the fraction -2/5.
Answer: 7.94
Step-by-step explanation:
The formula to calculate the standard deviation for binomial distribution :-
, where n is the number total of trials and p is the probability of getting success in each trial.
Given : The probability of the population has a particular genetic mutation=0.1
If 700 people are randomly selected, then the standard deviation for the number of people with the genetic mutation in such groups of 700 will be :-
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 700 = 7.94
First, you want to start by subtracting y from each side to get it isolated. After that, your equation should be
3y= -12
Then, divide each side by 3 to isolate the y. You should end up with y= -4
Think of it backwards. To get the total measure of the interior angles of a polygon, you divide the polygon into triangles, where a base of each triangle makes up a side of the polygon, and every triangle shares a vertex towards the center of the polygon. We know that the sum of the interior angles in triangles is 180 degrees. Two of the 3 interior angles of each triangle make up the interior angles of the entire polygon. If you add up the third angle of each triangle, you will get 360 degrees. So, the sum of the interior angles of a polygon is equal to the number of sides the polygon has times 180 degrees minus 360 degrees. Written as an expression, you get:
180n-360, where n is the number of sides a polygon has.
Set this equal to 5400 to get the answer:
5400=180n-360
180n=5760
n=32
So the polygon has 32 sides.
