40(pts) prove that the two circles shown below are similar. show work and answer(not multiple choice)

You can prove figures are similar by transforming one into the other.

Start with circle C. Its radius is 4 units. The radius of circle E is 3 units. Apply a dilation to circle C with a scale factor of 3/4. The radius becomes 3, the same as the radius of circle E.

Now translate circle C 7 units to the right and 8 units up. Now point C sits on point E, and the circles coincide. Since it took a dilation (with a scale factor other than 1) to make the circles congruent, the circles were originally similar, but not congruent.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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: