anonymous
  • anonymous
In quadrilateral ABCD, m∠ACD = 2x + 4 and m∠ACB = 5x-8. For what value of x is ABCD a rhombus.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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mathstudent55
  • mathstudent55
In a rhombus, each diagonal bisects a pair of opposite angles.
anonymous
  • anonymous
I keep getting 6 at the very end, is that correct?

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mathstudent55
  • mathstudent55
No, x is not 6. How did you set up your equation?
anonymous
  • anonymous
I'm doing what my teacher says, solve both equations for x then adding them together. I did just redo it the way he told me to and i got 5
mathstudent55
  • mathstudent55
Show me the equation you are trying to solve.
anonymous
  • anonymous
2x + 4=2 + 5x-8=3 then 3+2=5 This is what my teacher taught me but it just doesnt seem right
mathstudent55
  • mathstudent55
Since the diagonal bisects the opposite angles, that means m
anonymous
  • anonymous
4
mathstudent55
  • mathstudent55
Correct
anonymous
  • anonymous
You should be a teacher.
mathstudent55
  • mathstudent55
Thanks. I hope you understood the problem. You need to take the understanding of the geometry part to then handle the algebra part
micahm
  • micahm
@jolenewhite.2000

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