SOLUTION: The perimeter of a pentagon is 14x+9. Three sides have the following side lengths: 4x, 3x-2, and x+5. Choose ALL the pairs that could be the two missing sides. A. 5x, x+6 B. 3x-

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Question 1035415: The perimeter of a pentagon is 14x+9. Three sides have the following side lengths: 4x, 3x-2, and x+5. Choose ALL the pairs that could be the two missing sides.
A. 5x, x+6
B. 3x-5, 3x-1
C. 4x+7, 2x-1
D. 6x+5, 1

I tried googling different methods but can't seem to find a similar question, thank you for taking the time to look at this problem.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
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The perimeter of a pentagon is 14x+9. Three sides have the following side lengths: 4x, 3x-2, and x+5. Choose ALL the pairs that could be the two missing sides. 
A. 5x, x+6          <<<---  This is good.  

B. 3x-5, 3x-1       <<<---  This is bad.

C. 4x+7, 2x-1       <<<---  This is good.

D. 6x+5, 1          <<<---  This is good.


The criterion is very simple: the sum of the tree given dimensions 4x + (3x-2) + (x+5)  plus  two other dimensions  MUST be equal to 14x+9.

Everything is so obvious . . .


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