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Leto [7]
3 years ago
5

What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8,2), and (5,-2)?

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

The area of the parallelogram is 20 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The vertices of the parallelogram are (0 , -2) , (3 , 2) , (8 , 2) , (5 , -2)

- The side joining the points (0 , -2) and (5 , -2) is a horizontal side

  because the points have same y-coordinates

- The side joining the points (3 , 2) and (8 , 2) is a horizontal side

  because the points have same y-coordinates

∴ These two sides are parallel bases of the parallelogram

∵ The length of any horizontal side = x2 - x1

∴ The length of the side = 5 - 0 = 5 <em>or</em> 8 - 3 = 5

∴ The length of one base of the parallelogram is 5 units

- The height of this base is the vertical distance between these two

  parallel bases

∵ The length of any vertical distance = y2 - y1

∵ y2 = 2 and y1 = -2 ⇒ the y-coordinates of the parallel bases

∴ The length of the vertical distance = 2 - (-2) = 2 + 2 = 4 units

∵ This vertical distance between the two parallel bases is the height

  of these bases

∴ The height of the parallelogram is 4 units

- The area of the parallelogram = base × height

∵ The base = 5 units and the height = 4 units

∴ The area = 5 × 4 = 20 units²

* The area of the parallelogram is 20 units²

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Answer:

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Step-by-step explanation:

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minor angle of AB + x° = 180°

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Enjoy!!!

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3 years ago
Factor 20x2+25x-12x-15 by grouping
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Answer:

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Step-by-step explanation:

that is my answer

5 0
3 years ago
Which of the following situations result in an answer of 2/3? Select three that apply.
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2 years ago
Ewans flight is schheduled to travel 1,750 in 3.5 hours . at what rate does it travel per hour
Karo-lina-s [1.5K]

Answer:

It travel at the rate of <u>500 miles per hour</u>.

Step-by-step explanation:

Given:

Ewans flight is scheduled to travel 1,750 miles in 3.5 hours.

Now, to find the rate it travel per hour.

Distance = 1,750 miles.

Time = 3.5 hours.

So, to get the rate we put formula:

Speed=\frac{distance}{time}

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7 0
3 years ago
Can someone please help me with 10-16 it’s due tomorrow!!! Please
VMariaS [17]
10) V=πr² *h= π*10²*12≈3770
11) V=A(base)*h= (3√3/2)*(9²)*10=2104
A(base)=(P*a)/2=(6*9*3√3)/2=9*9*3√3/2

12)V=πr² *h=π*18² *6≈6107
13)V=4*3*12=144
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A(base)=(3*4)/2=6
V=A(base)* height (prism)=6*2=12
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7 0
3 years ago
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