georgeangelov2 georgeangelov2
  • 24-06-2020
  • Mathematics
contestada

I will award Brianliest please help *A triangle has sides 45, 4x and 2x−4. What is the possible range of x? show work please

Respuesta :

PiaDeveau PiaDeveau
  • 30-06-2020

Answer:

49 / 6 < x  < 41 / 2

Step-by-step explanation:

Given:

Three sides are:

45, 4x and 2x−4

In a triangle, the sum of two sides is greater then another side .

So,

  • 45 < 4x + (2x-4)
  • 4x < 45 + (2x-4)
  • 2x-4 < 45 + 4x

From ineuality (1)  

45 < 4x + (2x-4)

45 < 6x  - 4

49 / 6 < x

From ineuality (2)

4x < 45 + (2x-4)

2x < 41

x < 41 / 2

So,

49 / 6 < x  < 41 / 2

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