Respuesta :

QT = 36

Step-by-step explanation:

Step 1 :

Lines RT and SV are the diagonals of the parallelogram RSTV.

Step 2 :

The diagonals of a parallelogram bisect each other . (Properties of a parallelogram)

Step 3 :

Given that the diagonals RT and SV intersect at Q, we have QT = RQ.

=> 5 x + 1 = 3 x + 15

=> 5 x - 3 x = 15 -1

=> 2 x = 14

= > x = 7

Step 4:

QT = 3 x + 15

=> QT = 3 * 7 + 15

=> QT =  21 + 15 = 36

akposevictor

Applying the properties of the diagonal of a parallelogram, the length of QT = 36 units.

Diagonals of a Parallelogram

  • The diagonals of a parallelogram are always congruent to each other.
  • When the diagonals intersect, they bisect each other, that is, they cut each other into equal segments.

Therefore,

RQ = QT

  • Substitute

5x + 1 = 3x + 15

  • Add like terms

5x - 3x = -1 + 15

2x = 14

x = 7

QT = 3x + 15

  • Plug in the value of x

QT = 3(7) + 15

QT = 36

Learn more about diagonals of parallelogram on:

https://brainly.com/question/12167853

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