The complement of an angle is 6 degrees less than twice the measure of the angle , . Find the angle and its supplement .

9514 1404 393

Step-by-step explanation:

Let x represent the angle. Then its complement is 2x-6:

  x +(2x -6) = 90

  3x = 96

  x = 32

  180 -x = 148

The angle is 32°; its supplement is 148°.

Additional comment

We are given a relation between the angle and its complement. We are asked for the value of the angle and its supplement. A typo in the problem is suspected.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .