bradfordaj1230
bradfordaj1230 bradfordaj1230
  • 23-03-2020
  • Mathematics
contestada

Find the value of x for which ABCD must be a parallelogram.

Find the value of x for which ABCD must be a parallelogram class=

Respuesta :

Wallind11
Wallind11 Wallind11
  • 23-03-2020

Step-by-step explanation:

If ABCD is a parallelogram,

Then AD=BC

[tex]2x + 3 = 3x - 5[/tex]

[tex]2x - 3x = - 5 - 3[/tex]

[tex] - x = - 8[/tex]

[tex]x = 8[/tex]

Answer Link
Ursus Ursus
  • 23-03-2020

Answer:

x=8

Step-by-step explanation:

A parallelogram has opposite sides equal and parallel,

Therefore,  BC=AD

[tex]BC= 3x-5\\AD=2x+3\\\\BC=AD\\\\3x-5=2x+3\\\\[/tex]

Subtracting '2x' both side:

[tex]3x-2x-5=3\\\\x-5=3[/tex]

Adding '5' both sides:

[tex]x=3+5\\\\x=8[/tex]

For the parallelogram, the value of 'x' is 8.

Answer Link

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