One triangle on a graph has a vertical side of 5 and a horizontal side of 11. another triangle on a graph has a vertical side of 15 and a horizontal side of 33.

could the hypotenuses of these two triangles lie along the same line?
a. no because they need to be the same size
b. no because they are not similar triangles
c. yes because all triangles can fit along this line
d. yes because there are similar triangles

answer: it's d

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: