Triangle END is reflected across the line y = x using the rule (x, y) - (y, x) to create triangle E'N'D'. If a line segment is drawn from point E to point E', which statement would best describe the line segment drawn in relation to the line y = x?
O Both are congruent to each other.
O Both create diameters of concentric circles.
They are parallel.
They are perpendicular.

they are perpendicular

Step-by-step explanation:

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rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 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: