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Darina [25.2K]
3 years ago
12

A box contains a collection of triangular and square tiles. There are 2525 tiles in the box, containing 8484 edges total. How ma

ny square tiles are there in the box?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0
Let us consider the number of edges = x
we know that a triangle will have 3 edges and a square will have 4 edges. Using this details we can form an equation.
3x + 4x = 8484
7x = 8484
x = 8484/7
  = 1212
Then
Number of square tiles = 1212/4
                                     = 303
So there are 303 square tiles in the box. I hope the procedure is clear enough for your understanding. You can always use this method for solving similar problems.
                                                      
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What part do you need explained?

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In a triangle, the sum of any 2 sides must be larger than the third side.

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We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

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So when we combine these together,  

 

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2 years ago
The graph of this system of equations is used to solve 4x2-3+6=2x4-9x3+2x What represents the solution set?
Vilka [71]

ANSWER

x coordinates of the intersection points

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Hence the x-coordinates of the intersection points gives the solution set of

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3 0
3 years ago
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