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ZanzabumX [31]
3 years ago
7

What expression in terms of x can be used to represent the area of parallelogram PQRS?

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

C. (5x√2)² = 50x²

Step-by-step explanation:

Area of parallelogram = QR²

QR = √((5x)² + (5x)²) ---› pythagorean theorem

QR = √(25x² + 25x²) =

QR = √(50x²)

QR = √(25*2*x²)

QR = 5x√2

✔️Area of parallelogram = QR²

= (5x√2)² = 25x² × 2 = 50x²

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Can someone help me with both of the or may be one
azamat

Question 6

Given:

QR = RS

QR = x + 6

RS = 4x

To find:

Length of line segment QS

Steps:

We know QR = RS, so substituting we get,

x + 6 = 4x

     6 = 4x - x

     6 = 3x

  6/3 = x

     2 = x

      x = 2

Now,

QS = QR + RS

QS = x + 6 + 4x

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QS = 2 + 6 + 8

QS = 8 + 8

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Therefore, the length of QS is 16 units

Question 7

Given:

QR = RS

QR = 2x - 2

RS = 2x

To find:

Length of line segment QS

Steps:

We know that QR = RS, so substituting the values we get,

          QR = RS

      3x - 2 = 2x

3x - 2 - 2x = 0

     3x - 2x = 2

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Now,

QS = QR + RS

QS = 3x - 2 + 2x

QS = 3(2) - 2 + 2(2)

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QS = 6 - 2 + 4

QS = 4 + 4

QS = 8 units

Therefore, the length of QS is 8 units

Happy to help :)

If u need any help feel free to ask

7 0
3 years ago
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