This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as
shown here. The box uses two pairs of congruent
right triangles made of foam to fill its four corners.
Find the measure of the foam angle marked.

the interior angles of a pentagon = 540

540/5 = 108

angles on a line add up to 180

180- 108 = 72

72/2 = 36

X = 36°

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: