2Δ Δ Δ Δ Δ 27. A parallelogram has a perimeter of 96 inches, and 1 of
its sides measures 16 inches. If it can be determined,
what are the lengths, in inches, of the other 3 sides?
Α.) 16, 16, 48
Β. 16, 24, 24
C. 16, 32, 32
D. 16, 40, 40
E. Cannot be determined from the given information

C. 16, 32, 32

Step-by-step explanation:

Since it is a parallelogram, two of the sides must be 16, giving a total of 32. 96 - 32 is 64, meaning the other 2 sides are 64 ÷ 2, which is 32. So the sides are 16, 16, 32, 32.

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: