Respuesta :

adioabiola

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

  • 3x - 6 < 24. OR
  • 3x - 6 > 0.

This is so because angle 3x - 6 must be between 0° and 24° since 36 > 34

By evaluation;

  • 3x - 6 < 24

  • 3x < 24 + 6

  • 3x < 30

  • x < 30/3

x < 10

Also,

  • 3x - 6 > 0

  • 3x > 6

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

Read more on inequalities:

https://brainly.com/question/22137960

onyebuchinnaji

The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

  • Longer length = 36
  • Shorter length = 34
  • Angle facing the longer length = 24⁰
  • Angle facing the shorter length = (3x - 6)⁰

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

  • (3x - 6)⁰ < 24⁰, or
  • (3x - 6)⁰ > 0

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

[tex]x < \frac{30}{3} \\\\x< 10[/tex]

or

3x - 6 > 0

3x > 6

[tex]x >\frac{6}{3} \\\\x >2[/tex]

Thus, the inequality that describes the possible values of x is 2 < x < 10.

Learn more about inequality here: https://brainly.com/question/14361489

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