Two triangles are similar and have sides of 4, 6, 10 and 6, 9, 15. what is the ratio of similarity between the two triangles?

Similarity ratio is

Explanation:

Assume that:

The first triangle is ABC where:

AB = 4 units, BC = 6 units and AC = 10 units

The second triangle is DEF where:

DE = 6 units, EF = 9 units and DF = 15 units

Now, we are given that the two triangles are similar, this means that the corresponding sides are similar.

Therefore:

similarity ratio =

Now, we substitute with the values given and simplify any of them to get the similarity ratio as follows:

similarity ratio: =

Hope this helps :)

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: