Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Kagome_gurl8

  • 3 years ago

In quadrilateral ABCD, m∠ACD = 2x + 4 and m∠ACB = 5x-8. For what value of x is ABCD a rhombus.

  • This Question is Closed
  1. Kagome_gurl8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    In a rhombus, each diagonal bisects a pair of opposite angles.

  3. Kagome_gurl8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I keep getting 6 at the very end, is that correct?

  4. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No, x is not 6. How did you set up your equation?

  5. Kagome_gurl8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  6. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Show me the equation you are trying to solve.

  7. Kagome_gurl8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2x + 4=2 + 5x-8=3 then 3+2=5 This is what my teacher taught me but it just doesnt seem right

  8. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Since the diagonal bisects the opposite angles, that means m<ACD = m<ACB, which means: 2x + 4 = 5x - 8 This is the equation you must solve.

  9. Kagome_gurl8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4

  10. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Correct

  11. Kagome_gurl8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You should be a teacher.

  12. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks. I hope you understood the problem. You need to take the understanding of the geometry part to then handle the algebra part

  13. micahm
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @jolenewhite.2000

  14. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy