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Olin [163]
2 years ago
14

Find the area A of the polygon with the given vertices.

Mathematics
1 answer:
Natalija [7]2 years ago
4 0

Answer:

A = 35 square units

Step-by-step explanation:

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the segment between A(2, 2) and B(9, 2) = \sqrt{(9-2)^2+(2-2)^2}

                                                                                     = 7 units

Length of the segment between B(9, 2) and C(9, -3) = \sqrt{(9-9)^2+(2+3)^2}

                                                                                       = 5 units

Length of the segment between C(9, -3) and D(2, -3) = \sqrt{(9-2)^2+(-3+3)^2}

                                                                                        = 7 units

Length of the segment between A(2, 2) and D(2, -3) = \sqrt{(2-2)^2+(2+3)^2}

                                                                                       = 5 units

Therefore, given polygon is a rectangle.

Area of the rectangle = length × width

                                    = 7 × 5

                                    = 35 square units

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5.95 is your answer. Have a wonderful day
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Answer:

Step-by-step explanation:

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  2. The Romanovs share their origins with a handful of other Russian noble families. One of the ancestors of the world-renowned dynasty was Andrey Kobyla – a boyar who lived during the middle of the 14th century. Kobyla was documented in contemporary chronicles only once, in 1347, when he was said to have been sent to Tver with the purpose of meeting the daughter of Alexander I of Tver. Later generations assigned other more illustrious pedigrees to Kobyla, however, they are highly unlikely to be true.
  3. An 18th century genealogy chart even claimed that Kobyla was the son of the Prussian prince Glanda Kambila, who came to Russia in the second half of the 13th century, fleeing the invading Germans. Indeed, one of the leaders of the Prussian rebellion of 1260-1274 against the Teutonic order was named Glande, but the theory acquired no further proof.
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3 0
3 years ago
PLEASE HELP ME WILL MARK AS BRINIEST.
Arisa [49]

Answer:

-14w²-7w+1

Step-by-step explanation:

(–7w2 – 2w – 1) – (–5w2 + 3w – 2)

-14w²-2w-2w-1 +10w²-3w+2

combine the like terms

-14w² + 10w² - 2w-2w-3w+2-1

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4 0
3 years ago
Complete to show how you can find the sum by making a ten, hundred, or thousand.
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8+5=

8+2+3

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I don't really get it though  

4 0
2 years ago
Mark rolls 2 fair dice and adds the results from each.
pashok25 [27]
36 ways to roll 2 dice

There are 10 ways to roll 1 thru 5…

Thus there are 26 / 36 ways to roll >5 (13/18)
4 0
2 years ago
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