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agasfer [191]
3 years ago
13

Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram.

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

If ABCD is a parallelogram, we have to prove that slope of AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the slope of line segment AB = 0/-4,  CD = 0/-4, BC = 1, DA  = 1. Going back to the condition, the slope we get for each line segment proves that ABCD is a parallelogram.

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Identify the percent of change as an increase or a decrease. Then find the percent of change. Round to the nearest tenth of a pe
Aleksandr-060686 [28]
42.5/68
=0.625x100
=62.5%

7 0
3 years ago
(255)/(6)*(672)/(9)+(37)/(9) <br> How do you work this out step by step??
koban [17]
Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is 3177 4/9.

If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
  255/6 = 42.5
Next, you multiply by 672
  42.5*672 = 28560
Then divide by 9
  28560/9 = 3173 3/9

You continue by doing the division
  37/9 = 4 1/9

And finish by adding the two results
  3173 3/9 + 4 1/9 = 3174 4/9

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If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
  (255*672)/(6*9)
Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
  (255*112)/9
Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
  (255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
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7 0
3 years ago
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Korolek [52]
20 thousands would be 200 hundreds 
5 0
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Read 2 more answers
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

4 0
2 years ago
How many elements are in the set (a,b,<br> c.?
diamong [38]
There are three elements in that set.
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3 years ago
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