Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

pratu043

  • 2 years ago

ABCD is a quadrilateral where AB is parallel to DC. If x = (4y)/3 and y = (3z)/8 find x, y, and z.

  • This Question is Closed
  1. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1353909972372:dw|

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

    \[\angle A+\angle D=180^\circ\\\angle B + \angle C=180^\circ\] Try to solve it now :)

  3. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I tried but I'm getting z as more than 90 degrees.

  4. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    z is an acute angle isn't it?

  5. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    z + y = 180 and \[y = \frac{ 3z }{ 8 }\] \[z + \frac{ 3z }{ 8 } = 180\] \[\frac{ 8z + 3z }{ 8 } = 180\] \[\frac{ 11z }{ 8 } = 180\] \[z = \frac{ 180\times8 }{ 11 }\]

  6. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't think that's right.

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

    Go ahead, you are right. Try to put z instead of y in your graph ;)

  8. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What do you mean 'in your graph'?

  9. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if y = 3/8 of z, it will be smaller than z. Are you sure you have y and z labelled correctly?

  10. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes. You think it could be a printing mistake?

  11. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No clue, but if z is acute, and y is 3/8 of z, then there's no way y can be obtuse.

  12. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah, I never thought of that.

  13. darthjavier
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, graphic*. I mean that you have the wrong graphic or wrong data.

  14. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The answers given are 96, 96 and 84.

  15. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Try it the other way around. z = 3y/8

  16. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Then you get 11y/8 = 180

  17. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(y = \frac{180 \times 8}{11}\)

  18. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That gives an angle of 131, meaning z would be 49. Doesn't work.

  19. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well, it works, but not to the answers you're given. :)

  20. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes.

  21. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I already tried all that.

  22. pratu043
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, thanks for your help anyway. I'll ask my maths teacher.

  23. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No problem. :)

  24. 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

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.