"let two plane mirrors are inclined at an angle theta.
total deviation produced from two inclined plane mirror after two successive reflection is given by delta=360-2theta
the number of images formed n=(360/theta)-1, if (360/theta) is even integer..
if (360/theta) is odd integer, the number of images formed n=(360/theta)-1 when the object is kept symmetrically, and n=(360/theta) when object is kept asymmetrically..
if (360/theta) is a fraction, the number of images formed is equal to its integral part..
how do we get these relations"

we take succesive images of every image on its opposite mirror till the image finally ends to the other side of the opposite mirror...

u should end up getting a arithmetic series for the angle for the image formed first 1 and i.this angle should not exceed 180 degree as the image will go behind the mirror..then the total no will be added for both to get the formula.

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: