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VikaD [51]
3 years ago
6

Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

Conclusion:

  • The value of x = 7
  • The value of y = 4

Step-by-step explanation:

Given

  • The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

  • RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

  • The value of x = 7
  • The value of y = 4
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Answer:

1. No

2. No

3. Yes

4. No

Step-by-step explanation:

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The second one isn't proportional because there isn't  a pattern between  the coordinates

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3 years ago
Find the x and y intercept of y= -2(x-3)^2+4
Neko [114]
Y intercept occurs when x = o  so it is  -2(0-3) + 4  =   -2

x intercepts:-

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6 0
3 years ago
10x+4y+ 12z=120 <br> 11x +77y =220 <br> 8x +2y +32z =160
Damm [24]

Answer:

x=8.94 ; y = 1.58; z=2.02

Step-by-step explanation:

solve 10x+4y+12z = 120      →          5x+2y+6z = 60

         8x + 2y +32Z = 160   →           4x+y+16z = 80

To eliminate z multiply first equation by 16 and second equation by 6.

80x+32y+96z = 960

24x+6y+96z =   480

on subtractionwe get 56x+26y = 480

dividing by 2 we get, 28x + 13y = 240

Now we have a given equation 11x + 77y = 220 → x + 7y = 20

solving 28x + 13y = 240 and x + 7y = 20

28x + 13y =240

28x + 216y = 560

subtracting we get, 203y = 320

y = 1.58

x = 8.94

z = 2.02

6 0
3 years ago
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