Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because . Does Noah's method always work? Explain why or why not.

Yes Noah's method will always work

Step-by-step explanation:

Noah's method states that:

To find 20% of a number he divides the number by 5. For example, 20% of 60 is 12.

Noah's method will always work because:

20% = 20/100

Simplifying 20/100 to the least fraction = 20/100 = 1/5

20% of x = 1/5 × x

= x/5 = x ÷ 5

Applying this to the examples

20% of 60 = 1/5 × 60

= 60/5 = 12.

Therefore, Noah's method will always work.

60.96438

step-by-step explanation:

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.