crazygirl12369 crazygirl12369
  • 25-10-2020
  • Mathematics
contestada

In a parallelogram RSTV, diagonals RY and VS intersect at Q. If RQ=5x+10 ,QT=20 and QS=3x+y and QV= 30 find x and y .

In a parallelogram RSTV diagonals RY and VS intersect at Q If RQ5x10 QT20 and QS3xy and QV 30 find x and y class=

Respuesta :

laurabaumgart laurabaumgart
  • 25-10-2020

Answer:

x = 2

y = 24

Step-by-step explanation:

The diagonals in the parallelogram bisect each other. That is why RQ and TQ are the same size and SQ and VQ are the same size:

5x + 10 = 20   | -10

5x = 10            | :5

x = 2

3x + y = 30

3*2 + y = 30

6 + y = 30     | -6

y = 24

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