Help? Show work! m∠ABC=(6x+8)° and m∠DEF=(12x-8)°.
If ∠ABC and ∠DEF are supplementary, what
is the measure of each angle?

m∠ABC = 68°

m∠DEF = 112°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (they form a straight line).

If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:

Combine like terms.

Divide both sides by 18.

Find the measure of each angle by substituting 10 for x into both expressions for the angles.

m∠ABC = (6x + 8)°

m∠DEF = (12x - 8)°

so what is the question

step-by-step explanation:

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: