Do we have enough information to say that m//n? Why? No, not enough information

Yes, Converse of Corresponding Angles Postulate

Yes, Converse of Alternate Interior Angles Postulate

Yes, Converse of Alternate Exterior Angles Postulate

Yes, Converse of Consecutive Interior Angles Postulate

Option (1)

Step-by-step explanation:

From the picture attached,

Lines 'm' and 'n' are the parallel lines and 'r' is a transversal line intersecting these lines at two distinct points.

Therefore, both the angles will be congruent by the property of corresponding angles postulate.

By the converse of corresponding angles postulate,

If these angles are congruent then both the lines (m║n) will be parallel.

Option (1) will be the answer.

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: