Easy middle school number linecan you tell me if i plotted the ones right? and plot the 3.11

3.11 is infinite so we would plot that 1 tick past 3 as the graph is going in increments of .50 and the square root of 7 is 2.64 which we would round to 2.7 (i could be wrong about rounding) soo in your case i would go with 2.6  which is 1 tick past 2.5

Step-by-step explanation:

its been a long time since ive done this and im currently in pre calc 11th grade math so if i got some of the wrong im very sorry :-(

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:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)