Question 1: Triangle XYZ is dilated with the origin as the center of dilation 10 points using the rule (x, y)(0.5x, 0.5y) to create Triangle X'Y'Z'. Which statement
is true? *
Triangle A'B'C' is larger than Triangle ABC, because the scale factor is greater than 1
Triangle A'B'C' is smaller than Triangle ABC, because the scale factor is less than 1
Triangle A'B'C' is smaller than Triangle ABC, because the scale factor is greater than 1
Triangle A'B'C' is larger than Triangle ABC, because the scale factor is smaller than 1

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:

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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question

given the diagram below, what is md?

the sum of the interior angles is 360°

take away from 360 the sum of the knows angles and you will have the angle d.

360 - 108 - 108 - 72 = 72°