The lengths of one triangle are are 2/3 the lengths of the sides of a similar triangle. if a side of the larger triangle is 36 millimeters what is the measure of the matching side of the smaller triangle?

24

Step-by-step explanation:

36= 3 equal parts

so: 36/3 =12

One part=12

so 2 parts is 12*2

12*2=24mm is the answer

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

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: