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anonymous

  • one year ago

If Q is the midpoint of PR, PQ =x/3+5 and PR = 2x, find QR

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  1. steve816
    • one year ago
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    Welcome to Openstudy! You're rich!

  2. pooja195
    • one year ago
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    |dw:1442281282910:dw|

  3. pooja195
    • one year ago
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    |dw:1442281364383:dw|

  4. pooja195
    • one year ago
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    Alright based on what we have so far now do you know whats next? :)

  5. anonymous
    • one year ago
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    Yes, you have analyzed it correctly. Lauren

  6. anonymous
    • one year ago
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    I'm just going to sit and watch and learn if you don't mind. :)

  7. pooja195
    • one year ago
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    If q is the midpoint, we know that PQ+QR=PR

  8. pooja195
    • one year ago
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    Can you set up the equation? @LaurenStukey

  9. anonymous
    • one year ago
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    (x/3+5) times 2 = 2X

  10. pooja195
    • one year ago
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    Not quite...keep this equation in mind PQ+QR=PR \[\huge~\rm~\frac{ x }{ 3 }+5+QR=2x\]

  11. pooja195
    • one year ago
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    If the left hand side is equal to the right side we got the right answer for QR

  12. anonymous
    • one year ago
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    How do you solve the equation then? Lauren

  13. pooja195
    • one year ago
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    first thing to do is minus x/3 from both sides

  14. pooja195
    • one year ago
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    \[\huge~\rm~\frac{ x }{ 3 }-\frac{ x }{ 3 }+5+QR=2x-\frac{ x }{ 3 }\]

  15. pooja195
    • one year ago
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    We are trying to isolate QR right? So this is the first step

  16. pooja195
    • one year ago
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    \[\huge~\rm~5-5+QR=2x-\frac{ x }{ 3 }-5\]

  17. pooja195
    • one year ago
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    \[\huge~\rm~QR=2x-\frac{ x }{ 3 }-5\]

  18. anonymous
    • one year ago
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    Correct. What is 2X minus X/3

  19. pooja195
    • one year ago
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    \[\huge~\rm~\frac{ 5x }{ 3 }-5\]

  20. pooja195
    • one year ago
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    You can also check your work... Not quite...keep this equation in mind PQ+QR=PR \[\huge~\rm~\frac{ x }{ 3 }+5+(\huge~\rm~\frac{ 5x }{ 3 }-5)=2x\]

  21. pooja195
    • one year ago
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    By pluggin QR in to see if it makes a true statement

  22. pooja195
    • one year ago
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    |dw:1442282675465:dw|

  23. pooja195
    • one year ago
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    \(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

  24. pooja195
    • one year ago
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    Let me know if you have any questions :)

  25. anonymous
    • one year ago
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    7.5 is the answer.

  26. pooja195
    • one year ago
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    Where did you get that from?

  27. pooja195
    • one year ago
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    You dont solve for x 5x/3-5 would be the final answer

  28. nincompoop
    • one year ago
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    |dw:1442298388961:dw|

  29. nincompoop
    • one year ago
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    |dw:1442298786847:dw|

  30. prizzyjade
    • one year ago
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    PR= (PQ+QR)/2 2PR=PQ+QR 2PR-PQ=QR 2(2x)-(x/3+5)=QR 4x-x/3+5=QR 12x-x+15=3QR QR=11x/3+15

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