lemd1031 lemd1031
  • 09-12-2020
  • Mathematics
contestada

For what value of x is quadrilateral CDEF a parallelogram?
с C
x + 1
F
2X-3
D
N
E
X=

For what value of x is quadrilateral CDEF a parallelogram с C x 1 F 2X3 D N E X class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 14-12-2020

Answer:

[tex] x = 4 [/tex]

Step-by-step explanation:

Since the diagonals of a parallelogram bisects each other, therefore:

[tex] x + 1 = 2x - 3 [/tex]

Collect like terms

[tex] x - 2x = -1 - 3 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]

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