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For parallelogram PQRS, PT=2x-1, QT=x+4RT = y 1, and ST - 3y - 11.

Find the values of x and y: Note: You must be able to solve a systems of equations for this
problem
L2x-1
X+4
y-1
Зу-11
S.
R.

2 Answers

12 votes

Final answer:

By setting up equations based on the properties of a parallelogram where opposite sides are equal, we find that both x and y equal 5.

Step-by-step explanation:

The problem involves finding the values of x and y for a parallelogram where PT = 2x - 1, QT = x + 4, RT = y - 1, and ST = 3y - 11. In a parallelogram, opposite sides are equal in length, which gives us two equations:

  1. PT = QT → 2x - 1 = x + 4
  2. RT = ST → y - 1 = 3y - 11

Now, we solve the first equation for x:
2x - x = 4 + 1 → x = 5

Next, we solve the second equation for y:
y - 3y = -11 + 1 → -2y = -10 → y = 5

Therefore, the values of x and y are both 5.

User Joomler
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R IS THE ANSWERRRRR!!!
User Rajkumar Reddy
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