Line segment lm is dilated to create l'm' using point q as the center of dilation and a scale factor of 2.
what is the length of segment qm'?

6 units

Step-by-step explanation:

Given: Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2.

Since in dilation , to calculate the distance of a point on image from center point we need to multiply scale factor to the distance of corresponding point on pre-image from center point .

Thus we have,

Hence, the length of segment QM' = 6 units.

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:

ok so what's the question?

step-by-step explanation: