In the following diagram \overline{DE} \parallel \overline{FG} DE
∥
FG
start overline, D, E, end overline, \parallel, start overline, F, G, end overline and \overline{KL} \perp \overline{FG}
KL
⊥
FG
start overline, K, L, end overline, \perp, start overline, F, G, end overline.
What is the measure of \blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd?
Angles are not necessarily drawn to scale. Given the following:

\blueD{\angle{x}} =∠x=start color #11accd, angle, x, end color #11accd, equals
\Large{{}^\circ}
∘

step-by-step explanation:

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: