A parallelogram is shown below:

A parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.

Part A: What is the area of the parallelogram? Show your work. (5 points)

Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

Answer:

4 or 1

Step-by-step explanation:

I thought 4 (all added together=(40 and divided by 10=4 )but I put it into a MAD calculator and got 1.

Answer:

the median is 4

Step-by-step explanation:

so first we arrange the numbers from lowest to highest

2,3,3,4,4,4,5

the median is the number in the middle of these numbers, which is 4

Answer:

3-4??

Step-by-step explanation:

If middle is median then it's 3-4??

The exact answer is 2*sqrt(5) but I figured it makes more sense to represent distance in terms of the approximate value. Round that however you need to. Your teacher may or may not want you to include the units, so be sure to ask.

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Explanation:

This is similar to the previous question I answered earlier. Draw a vertical line straight down from point X until you reach line YZ. Mark point W on this vertical line, and that's also on line YZ.

Point W is the midpoint of YZ, which cuts it in half.

Let's focus on triangle WXY. It's horizontal leg is 8/2 = 4 km. Let a = 4.

For that same triangle, the vertical leg is unknown. We'll call it h. So b = h.

The hypotenuse of this right triangle is YX = 6 km. Let c = 6.

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We have

Use the pythagorean theorem from here

a^2 + b^2 = c^2

4^2 + h^2 = 6^2

16 + h^2 = 36

h^2 = 36-16

h^2 = 20

h = sqrt(20)

h = sqrt(4*5)

h = sqrt(4)*sqrt(5)

h = 2*sqrt(5) ..... exact

h = 4.47213595  ..... approximate

h = 4.47 km

The distance is roughly 4.47 km

Bro pay attention to class...

A "translation" is basically "move" but a fancier word. So as you can see, triangle 1 is from a reflection, triangle 2 is also from a reflection, triangle 3 is from a rotation and we're left with triangle 4, which looks identical to the original triangle. Therefore, it is triangle 4.

Answer:

A=pi times R squared

Step-by-step explanation:

If you have the radius, the area is [tex]\pi r^{2}[/tex].

Answer:

x < 6

Step-by-step explanation:

5x < 30

5x/5 < 30/5

x < 6

Answer:

X <5

Step-by-step explanation: 5 x5 = 25

25 < 30

Answer:

Step-by-step explanation:

9=-3(e-2)

9=-3e+6

9-6=-3e

3/-3=e

-1=e

Answer:

Sharon is wrong in step 2.

Step-by-step explanation:

So, basically we need to look at how Sharon step by step solved this problem.

We need to check her work by solving it ourselves, and seeing what she did wrong.

So we have:

9=-3(e-2)

The first thing that we need to do is distrubute the -3 to the e and -2:

9=-3e+6

This is looks like step 1 of Sharon's work.

Now, we need to get -3e alone by getting all the numbers to one side. This means we need to get rid of the 6 by subtracting 6 from both sides:

3=-3e

This doesnt look like what Sharon got.

She has:

15=3w

How did she do this? Note everything from here to the next bolded words explains her incorrect method of solving.

Well, what if we factor out a negative sign, making -3e into 3e?

This would make +6 into -5.

Then you would get:

9=-(3e-6)

The reason why you CANNOT do this is one problem.

Anything that has been factored(basically a value that has had something taken from it), such as the - in our case, cannot be subtracted or added to another number.

The reason you cannot subtract or add a factored number is it changes the value of the answer. So pretty much subtracting and adding factored numbers is BIG NO NO.

Back to how we solve for e.

So we have already gotten to step 2 with:

3=-3e

Lets get e alone by dividing both sides by -3.

3/-3=-1.

-3e/-3 = e.

So our answer, in step 3 is:

-1=e

This is not needed for your answer, and only shows how you can double check your answer.

So if oyu arent 100% sure with this, lets double check.

We got -1 as e, so lets plug it into our orginal equation:

9=-3(e-2)

Plug in -1:

9=-3(-1-2)

Distrubute the -3:

9=3+6

Add together the numbers:

9=9

This is correct!

Hope this helps!

Answer:

43.96

Step-by-step explanation:

You do 2*3.14*7

Answer:

(s+16)(s-16)

Step-by-step explanation:

s^2-256

s^2-(16)^2

a^2-b^2= (a+b)(a-b)

(s+16)(s-16)

Answer:

1.      5 ( − 6 ) 2

2.     (−16)(+16)

3.     ( 7q-3r) ^2  

Step-by-step explanation:

5a^2 - 60a + 180   we factor 5 as multiple of a alone (outside of brackets)

Then we keep the common a with its number as 180 doesn't share a

Then we look solely for two numbers that add up to 60 and multiply to 180

We show in the first line what we found and then continue to factor the square of a in format of 5a^(2) and format of -6a-6a to find 5(a2−6a−6a+36) like below until its completed in factored form - 6 -6 would multiply to find +36 and -6-6 subtracts to find -12.

5a^2 - 60a + 180

5(  ^ 2 − 1 2 + 3 6)  

5 ( ^ 2 − 6 − 6 + 3 6 )

5(a^{2}-6a-6a+36)

5(a2−6a−6a+36)

5 ( ( − 6 ) − 6 ( − 6 ) )

5 ( − 6 ) ( − 6 )

5 ( − 6 ) 2

2.

s^2 - 256

2 + 1 6 − 1 6 − 2 5 6

(+16)−16(+16)

(−16)(+16)

3.  

49q^2 + 42qr + 9r^2

(7q )^2 + (7 x 6 + qr) + 3r^2  like by like = 7q and 3r as 3+3 = 6 when squared is our factor outside of brackets and we notice that 6 is not squared in rule.

( 7q-3r) ^2  

Answer:

1.9 Liters (L) per conatiner

Step-by-step explanation:

If we add the 2.25 L of Orange Juice, 4.75 L or Pineapple Juice, and the 2.5 L of Grape Juice we get 9.5. Since there are 5 different containers we need to divide 9.5 by 5 which is 1.9L of smoothie in each container.

Answer:

N = -12

Step-by-step explanation:

Answer:

i dont get it

Step-by-step explanation:

Answer:

622 sq. ft

Step-by-step explanation:

that must be a big gift

Answer:

ans-a 25x - 10

Step-by-step explanation:

7x+9x+9x = 25x

-3-3-4 = -10

so, 25x-10.

stay safe, stay healthy and blessed.

thank u

Answer: the rhombus and isosceles trapezoid

Step-by-step explanation:

Volume of a rectangular prism is length x width x height.

Volume = 8 x 3 x 3 = 72 cubic feet

I hope this helps you sorry to get it wrong

Answer: 16.8 meters

Step-by-step explanation:

32 meter - 120 centimeters = 30.8 meters

30.8 meters - 14 meters = 16.8 meters.

Answer:

63.62 in

hope this helps

have a good day :)

Step-by-step explanation:

These are the answers to all of the questions

Answer:

Total angles on a straight Line is 180°

SO

x + 12 + 100 + x = 180

2x + 112=180

2x= 180 - 112

2x =68

x=34°

Have a great day!!!