Which is the range of possible side lengths of the missing side?

5 < x <21

Step-by-step explanation:

The side lengths of a triangle :

The sum of two side lengths selected at random must be bigger than the third side length and their difference must be smaller than the third side length

If we call the third side x than

x must be smaller than 13 + 8 and x must be bigger than 13 - 8 which means

5 < x <21

is this part of a question or something

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: