State of the triangles in each pair are similar. if so, state how you know they are similar and complete the similarity statement

Similar, SSS similarity, ΔLRS

Step-by-step explanation:

First, compare the ratios of the shortest sides:

LN / LS = 112 / 24 = 4⅔

And the longest sides:

LM / LR = 168 / 36 = 4⅔

And the middle:

MN / RS = 154 / 33 = 4⅔

The triangles' sides are proportional.  Therefore, by SSS similarity, the triangles are similar.

A. similar sss

Step-by-step explanation:

have a nice day :)

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:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,