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mr Goodwill [35]
2 years ago
9

If the lengths of two sides of a triangle are 6 and 7, the length of the third side may be

Mathematics
1 answer:
Ghella [55]2 years ago
5 0

Answer:

  • The third side may be between 1 and 13 units

Step-by-step explanation:

Let the missing side is x.

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than  the third side.

<u>We have inequalities:</u>

  • 6 + 7 > x ⇒ x < 13
  • 6 + x > 7 ⇒ x > 1
  • 7 + x > 6 ⇒ x > - 1

<u>The common solution is:</u>

  • 1 < x < 13
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If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.

The equation you want to set up is

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