If SX = 2x – 1, RX = 3x – 3, and RT = 5x + 2. What is QS?

The diagonals of the parallelogram intersect at the mid-point.  the length of the side SQ is 30 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal.

The dimensions of the parallelogran is shown;

SX = 2x – 1, RX = 3x – 3, and RT = 5x + 2

We know that its diagonals intersect at mid-point. Then

     RT = 2 times RX

5x + 2 = 2 × (3x – 3)

5x + 2 = 6x – 6

       x = 8

Then the side SX will be

SX = 2x – 1

SX = 2 × 8 – 1

SX = 16 – 1

SX = 15

Then the side SQ will be

SQ = 2 times SX

SQ = 2 × 15

SQ = 30

Thus, the length of the side SQ is 30 units.

More about the parallelogram link is given below.

link

30

Step-by-step explanation:

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step-by-step explanation: