Deathbat1999
Deathbat1999 Deathbat1999
  • 08-12-2017
  • Mathematics
contestada

Parallelogram ABCD ​ is a rectangle.

CX=3y−4

BD=2y



What is the value of y?

Enter your answer in the box.
y =

Parallelogram ABCD is a rectangle CX3y4 BD2y What is the value of y Enter your answer in the box y class=

Respuesta :

jessicaramirez81 jessicaramirez81
  • 11-12-2017

BD=AC=2CX
2y=2(3y-4)
y=3y-4
2y=4
y=2
Answer Link
calculista
calculista calculista
  • 19-11-2018

we know that


If the parallelogram ABCD is a rectangle

then

[tex]BD=AC\\AC=AX+CX\\AX=CX[/tex]

so

[tex]2CX=BD[/tex] ------> equation A

Substitute the given values in the equation A

[tex]2(3y-4)=2y[/tex]

Solve for y

[tex]6y-8=2y[/tex]

[tex]6y-2y=8[/tex]

[tex]y=2[/tex]

therefore

the answer is

[tex]y=2\ units[/tex]

Answer Link

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