By which rule are these triangles congruent?

aas
asa
sas
sss

Option A.

Step-by-step explanation:

Consider the third vertex of second triangle be O.

In triangle GHJ and OMN,

         (Given)

         (Given)

         (Given)

Since two angles and a pair of non-included corresponding sides are congruent, therefore by AAS rule both triangles are congurent.

       (By AAS posulate)

Hence, the correct option is A.

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:

idk wbu

step-by-step explanation: