Choose the congruence theorem that you would use to prove the triangles congruent. sss sas asa aas

- AAS congruence theorem.

Explanation:-

In the given question , there is only one theorem i.e. AAS theorem and all the remaining options (SSS ,SAS , ASA ) are postulate not theorem.

Therefore, AAS congruence theorem is the right answer.(as in the given picture both triangles have two equal angles and one side )

The AAS (angle-angle-side) theorem states that if two angles and any side of one triangle are equal to two angles and any side of another triangle, then the triangles are congruent.

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: