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Tasya [4]
3 years ago
11

Find the length of the given segments and determine if they are congruent Simplify DE and RS

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

The complete question is contained in the image.

The distance between points A(x_1,y_1) and B(x_2,y_2) in the coordinate plane is given as:

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

Point D is at (7, 0) and E at (0, -2) hence the distance between the two points is:

|DE|=\sqrt{(0-7)^2+(-2-0)^2}=\sqrt{49+4}=\sqrt{53}=7.28

Point R is at (-7, -7) and S at (3, -3) hence the distance between the two points is:

|RS|=\sqrt{(3-(-7))^2+(-3-(-7))^2}=\sqrt{100+16}=\sqrt{116}=10.77

Since |RS| ≠ |DE|, therefore they are not congruent

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8090 [49]

Answer:

470 is your awnser

Step-by-step explanation:

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3 years ago
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A businessman is required to collect a 5% sales tax. One day he collected $281 in taxes. Find the total amount of sales he made
malfutka [58]
I don't fully understand the question but I hope this helps...

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3 0
3 years ago
Claire is buying a new bicycle for 295 if the sales tax is 4.75% what will she pay in this total
yawa3891 [41]

Answer:

the answer 14.0125. rounded = 14

Step-by-step explanation:

convert the percentage to a decimal

4.75% --> move two decimal places --> 0.0475

multiply 295*0.0475

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6 0
3 years ago
10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of correspon
elena55 [62]

9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

8 0
2 years ago
Decrease 1440 by 80%
mario62 [17]

Answer:

288 will be ur ans

Step-by-step explanation:

1440 x 80/100

=1152

1440-1152

=288

5 0
3 years ago
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