Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

katlin95

  • 3 years ago

Use the Triangle Proportionality Theorem to solve for x. A. x = 2 B. x = 2.5 C. x = 3 D. x = 3.5

  • This Question is Closed
  1. katlin95
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

    4/6=6/(6+x)

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

    just work out what x equals and thart is your answe

  4. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The two triangles are similar, so their corresponding sides are proportional. That means 4 is to 2 as 4 + 2 is to 6 + x or as an equation, 4/2 = (4+ 2)/(6 + x) Cross multiply and solve for x.

  5. katlin95
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how do i croos multiply? could you five me the solution?

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

    @mathstudent55 wouldnt it be 4/6 not 4/2? Because its 4 over the whole length of the side which is 6? 4+2

  7. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You are absolutely correct. Let me do it again. The two triangles are similar, so their corresponding sides are proportional. That means 4 is to 6 as 4 + 2 is to 6 + x or as an equation, 4/6 = (4+ 2)/(6 + x) Cross multiply and solve for x.

  8. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Interstingly enough, this simpler proportion also works: 4/2 = 6/x because the segments measuring 2 and x are also in the same ratio as the sides measuring 4 and 6 and the sides measuring 4 + 2 and 6 + x

  9. katlin95
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so should I do 4*6=2*x

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

    \[\huge\frac{ 4 }{ 6 } = \frac{ 6 }{ 6 + x }\]

  11. katlin95
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I got x=3

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

    Now we cross multiply and divide everything by 4 \[\huge4(6 + x) = 36\] \[\huge6 + x = 9\] now find x

  13. mathstudent55
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1359442199584:dw|

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

    both ways give you x=3 so its your choice to see which way you liked better.

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

    \[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{green}{\color{blue}T{\color{purple}H{\color{pink}A{\color{red}NK{\color{orange}S}}}}}}}}}} \]

  16. katlin95
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    HAHA cool!

  17. 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