Let [tex](2x - 12) \text{ degrees}[/tex] represent the measure of an acute angle. What are the possible values of [tex]x[/tex]?

Acute angle is an angle measure less than 90 degrees
Right angle is an angle that measure 90 degrees
Obtuse angle is an angle that measure more than 90 degrees.
In the given situation, we need to find the value of x of an acute angle with the given situation
=> (2x-12)
=> 0 < (2x -12) < 90
=> 12 < 2x < 102
=> 6 < x < 51
Let’s check our answer
=> 2 (51- 6)
=> 102 – 12
=> 90
Thus, the value of x = 51 degrees

Answered by taskmasters | 2024-06-10

The possible values of x when (2x-12) degrees represents an acute angle are all real numbers between 6 and 51.
To determine the possible values of x when (2x-12) degrees represents an acute angle, we need to recall that an acute angle is one that is greater than 0 degrees but less than 90 degrees. Therefore, we set up the following inequality:
0 < (2x-12) < 90
Now, we solve for x by performing a two-step inequality solution:

Add 12 to all parts of the inequality:
12 < 2x < 102
Divide all parts by 2 to find the values for x:
6 < x < 51

Hence, the possible values for x when (2x-12) degrees represents an acute angle are all real numbers between 6 and 51.

Answered by SravyaDa | 2024-06-24

The possible values for x are any numbers greater than 6 and less than 51. This is represented by the inequality 6 < x < 51 .
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Answered by taskmasters | 2024-09-04