Look at the figure. how many different labeled rays are shown?

10 rays

Step-by-step explanation:

Given in the picture is a straight line extending on both sides with points marked on it as A, B, C, D and E

To find out the rays

The rays are

AB, BC, CD, DE

AC, BD, CE

AD, BE

AE

Hence there are in total 10 rays

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: