100 POINTS PLZ HELP ME, I AM AN IDIOT! In the figure, k>0.

(a) Is ΔABC similar to ΔPQR? Support your answer with a theorem or postulate.

(b) How does the area of ΔPQR compare tot he area of ΔABC? Justify your answer.

Step-by-step explanation:

(a) As per the diagram, the triangles are similar.

ΔABC ~ ΔPQR as per AA similarity postulate (two congruent angles)

(b) The area is the product of two dimensions. Area of ΔABC

Since each side of ΔPQR is k times greater than corresponding sides of ΔABC, the base and height will be both k times greater.

So the area of ΔPQR will be:

The area of PQR is k² times greater than the area of ΔABC

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:

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step-by-step explanation: