Asegment is dilated by a factor of 2.5 and the resulting segment is parallel to the original segment.
which statement must be true?
the center of dilation is not on the original segment.
the center of dilation is on the original segment.
the center of dilation is the midpoint of the resulting segment.
the center of dilation is the midpoint of the original segment.

  The center of dilation is not on the original segment.

Step-by-step explanation:

The center of dilation is the only invariant point. If the original segment and the dilated segment have no points in common (are parallel), then the center of dilation cannot be on either the original segment or the dilated segment.

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: