Respuesta :
A because you all the values together with the value of a and set it equal to 180. Then whatever you get for “x” you find the values of each angle and see if they all add to 180 degrees.
Answer:
Option B: 6x units is the answer.
Step-by-step explanation:
Two sides of a triangle measure 2x – 4 and 7x – 2 units.
According to the Triangle Inequality Theorem we know that the sum of any two sides of a triangle must be greater than the measure of the third side.
Let the third side be = y
This gives: [tex]2x-4+7x-2>y[/tex]
Solving this we get,
[tex]9x-6>y[/tex]
We also know that the difference of two sides of a triangle is less than third side.
[tex]7x-2-(2x-4)[/tex] =[tex]5x+2[/tex]
Now the range for the 3rd side or 'y' lies between:
[tex]5x+2<y<9x-6[/tex]
Now option A: 3x does not lie in the interval.
Option B : 6x is in the interval.
Option C and option D are the ranges. They do not lie within the interval.
Therefore, option B is the answer.
