Match the set of two interior angle measurements with the third interior angle measurement that can make a triangle. 40°, 50°

131°

60°

249, 250

90°

42°, 66°

72°

60°, 60°

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees

(a)Given the angles 40° and 50°

The third angle is, therefore:

We, therefore, have the set:

(b)Given the angles 42° and 66°

The third angle is, therefore:

We, therefore, have the set:

(c)Given the angles 60° and 60°

The third angle is, therefore:

We, therefore, have the set:

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: