For lines a, c, and d, line c is parallel to line d and m∠1 = 55°.

part a: for the given diagram, use the measure of ∠1 to find the measure of the remaining seven angles.
part b: in two or more complete sentences, explain the relationship between angle pairs a)∠1 and ∠7 and b)∠1 and ∠2. in your explanation, include how you calculated each of the angle measures in the special angle pairs.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

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: