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fenix001 [56]
3 years ago
15

HELP! Look at the figure, PQRS. Find the values of ​x and y. a) x = 5, y = 7 b)x = 6, y = 8 c)x = 6, y = 9 d)x = 7, y = 10

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

  c)  x = 6, y = 9

Step-by-step explanation:

The figure is a parallelogram. The diagonals of a parallelogram bisect each other, so each part of a given diagonal is equal to the other part.

  3x = 2y

  2x = y+3

__

Solving the second equation for y, we have ...

  y = 2x -3

Substituting into the first equation gives ...

  3x = 2(2x -3)

  3x = 4x -6 . . . . simplify

  6 = x . . . . . . . . .add 6 -3x

  y = 2(6) -3 = 9 . . . . use the above expression for y

The values of x and y are (x, y) = (6, 9).

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Perimeter of ABC is 67.
katrin [286]

Answer:

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2 years ago
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sergiy2304 [10]
The answer to your question is 448in squared
4 0
3 years ago
The dot plot represents a sampling of ACT scores: dot plot titled ACT Scores with Score on the x axis and Number of Students on
Yakvenalex [24]

Answer:

box plot titled ACT Score with a minimum of 24, quartile 1 of 27, median of 28, quartile 3 of 30, and maximum of 35

Step-by-step explanation:

The scores of the students represented on the dot plot are:

1 dot => 24

3 dots => 26, 26, 26

3 dots => 27, 27, 27

5 dots => 28, 28, 28, 28, 28

3 dots => 30, 30, 30

3 dots => 32, 32, 32

1 dot => 35

Quickly, we can ascertain 3 values from these data points of which we can use to find out which box plot represents the dot plot data.

The minimum score = 24

The maximum score = 35

The median score is the 10th value, which is the middle value of the data point = 28

Therefore, we can conclude that: "box plot titled ACT Score with a minimum of 24, quartile 1 of 27, median of 28, quartile 3 of 30, and maximum of 35".

6 0
3 years ago
Please help i’ll give brainliest
Natalija [7]

Problem 1 Answer: x = 2/3y+8

Show Work:

Step 1: Add 2y to both sides.

3x−2y+2y=24+2y

3x=2y+24

Step 2: Divide both sides by 3.

3x/3 = 2y+24/3

x = 2/3y+8

Problem 2 Answer: x=−2y+48

Show Work:

Add -2y to both sides.

x+2y+−2y=48+−2y

x=−2y+48

8 0
3 years ago
Determine the intercepts of the line.
Ymorist [56]

Step-by-step explanation:

The x-intercept is the value of x when y is 0

So you need to substitute:

0 = 4x + 7

-7 = 4x

-7/4 = x

(-7/4,0)

Similarly, the y-intercept is the value of y when x is 0

So:

y = 4x + 7

y = 4(0) + 7

y = 7

(0,7)

5 0
2 years ago
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