Answer:
13
Step-by-step explanation:
Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.
Make a table like this (each vertex with its x- and y-coordinates):
Pt x y
A 3 6
B 6 5
C 5 1
D 2 2
A 3 6
Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15
C 5 1 6
D 2 2 10
A 3 6 12
Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
Add all the differences.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
+____
-26
The area of the polygon is the absolute value of half of the sum of the differences.
area = |-26/2| = |-13| = 13
Answer: -1.78
Step-by-step explanation:
As per given description, we have
Population proportion : 
Sample size : n= 500
Sample proportion : 
Test statistic for population proportion :-
Hence, the test statistic for this hypothesis test for a proportion= -1.78
Answer: z=16
Step-by-step explanation:
Angles on a straight line add up to 180.
As AB is a straight line we can use that to help us find z.
So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).
Then you would do 180-164=16
So z=16
Hope this helps :)
Devisor is the bottom number
hmm
11.75=11 and 3/4
so times it by 4 to clear denomenator
but do it by top and bottom
23.4/11.75 times 4/4=93.6/47
so times it by 4/4
