anonymous
  • anonymous
If Q is the midpoint of PR, PQ =x/3+5 and PR = 2x, find QR
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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steve816
  • steve816
Welcome to Openstudy! You're rich!
pooja195
  • pooja195
|dw:1442281282910:dw|
pooja195
  • pooja195
|dw:1442281364383:dw|

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More answers

pooja195
  • pooja195
Alright based on what we have so far now do you know whats next? :)
anonymous
  • anonymous
Yes, you have analyzed it correctly. Lauren
anonymous
  • anonymous
I'm just going to sit and watch and learn if you don't mind. :)
pooja195
  • pooja195
If q is the midpoint, we know that PQ+QR=PR
pooja195
  • pooja195
Can you set up the equation? @LaurenStukey
anonymous
  • anonymous
(x/3+5) times 2 = 2X
pooja195
  • pooja195
Not quite...keep this equation in mind PQ+QR=PR \[\huge~\rm~\frac{ x }{ 3 }+5+QR=2x\]
pooja195
  • pooja195
If the left hand side is equal to the right side we got the right answer for QR
anonymous
  • anonymous
How do you solve the equation then? Lauren
pooja195
  • pooja195
first thing to do is minus x/3 from both sides
pooja195
  • pooja195
\[\huge~\rm~\frac{ x }{ 3 }-\frac{ x }{ 3 }+5+QR=2x-\frac{ x }{ 3 }\]
pooja195
  • pooja195
We are trying to isolate QR right? So this is the first step
pooja195
  • pooja195
\[\huge~\rm~5-5+QR=2x-\frac{ x }{ 3 }-5\]
pooja195
  • pooja195
\[\huge~\rm~QR=2x-\frac{ x }{ 3 }-5\]
anonymous
  • anonymous
Correct. What is 2X minus X/3
pooja195
  • pooja195
\[\huge~\rm~\frac{ 5x }{ 3 }-5\]
pooja195
  • pooja195
You can also check your work... Not quite...keep this equation in mind PQ+QR=PR \[\huge~\rm~\frac{ x }{ 3 }+5+(\huge~\rm~\frac{ 5x }{ 3 }-5)=2x\]
pooja195
  • pooja195
By pluggin QR in to see if it makes a true statement
pooja195
  • pooja195
|dw:1442282675465:dw|
pooja195
  • pooja195
\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)
pooja195
  • pooja195
Let me know if you have any questions :)
anonymous
  • anonymous
7.5 is the answer.
pooja195
  • pooja195
Where did you get that from?
pooja195
  • pooja195
You dont solve for x 5x/3-5 would be the final answer
nincompoop
  • nincompoop
|dw:1442298388961:dw|
nincompoop
  • nincompoop
|dw:1442298786847:dw|
prizzyjade
  • prizzyjade
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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