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

Welcome to Openstudy! You're rich!

2. pooja195

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3. pooja195

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4. pooja195

Alright based on what we have so far now do you know whats next? :)

5. anonymous

Yes, you have analyzed it correctly. Lauren

6. anonymous

I'm just going to sit and watch and learn if you don't mind. :)

7. pooja195

If q is the midpoint, we know that PQ+QR=PR

8. pooja195

Can you set up the equation? @LaurenStukey

9. anonymous

(x/3+5) times 2 = 2X

10. pooja195

Not quite...keep this equation in mind PQ+QR=PR $\huge~\rm~\frac{ x }{ 3 }+5+QR=2x$

11. pooja195

If the left hand side is equal to the right side we got the right answer for QR

12. anonymous

How do you solve the equation then? Lauren

13. pooja195

first thing to do is minus x/3 from both sides

14. pooja195

$\huge~\rm~\frac{ x }{ 3 }-\frac{ x }{ 3 }+5+QR=2x-\frac{ x }{ 3 }$

15. pooja195

We are trying to isolate QR right? So this is the first step

16. pooja195

$\huge~\rm~5-5+QR=2x-\frac{ x }{ 3 }-5$

17. pooja195

$\huge~\rm~QR=2x-\frac{ x }{ 3 }-5$

18. anonymous

Correct. What is 2X minus X/3

19. pooja195

$\huge~\rm~\frac{ 5x }{ 3 }-5$

20. pooja195

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

By pluggin QR in to see if it makes a true statement

22. pooja195

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23. pooja195

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

24. pooja195

Let me know if you have any questions :)

25. anonymous

26. pooja195

Where did you get that from?

27. pooja195

You dont solve for x 5x/3-5 would be the final answer

28. nincompoop

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29. nincompoop

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