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:
A- X= 20÷5-3
B- 20÷5=4; 4-3=1
C- X=1
Step-by-step explanation:
Okay, well we have to work backwards. 20 cookies, and she makes 5 bags. We need to find out what 'x' means. To do that, we take 20 cookies and divide it by 5. 4 cookies. Then we want to take 3 cookies out of each bag to find out how many cookies she first put in. 1 cookie.
Let's check:
bag 1:
o (one cookie)
bag 2:
o (one cookie)
bag 3:
o (one cookie)
bag 4:
o (one cookie)
bag 5:
o (one cookie)
Now we have 15 cookies left. Now let's put 3 in each:
bag 1:
o (one cookie)
v v v ( three cookies)
bag 2:
o (one cookie)
v v v ( three cookies)
bag 3:
o (one cookie)
v v v ( three cookies)
bag 4:
o (one cookie)
v v v ( three cookies)
bag 5:
o (one cookie)
v v v ( three cookies)
Now we have no cookies left, and we put 4 cookies in each. (o representing the first cookie, v representing the next three cookies)
Since the base is 3 inches and the height is 4 inches, as well as the area of a triangle being base*height/2, we get 3*4/2=6 in. for each triangle. Since we need 20 pieces for each puzzle, we multiply 6 by 20 to get 120. In addition, since 80 puzzles are needed, with 20 pieces for each puzzle, we have 120 inches for each puzzle and 120*80 = 9600 square inches of wood used
Answer:
b i think
Step-by-step explanation:
Answer: 
Step-by-step explanation:
By the Pythagorean theorem, the unknown side has length
Therefore,
