There were 120 kinds of dogs in the kennel, but only 18 of those were puppies. What percent were puppies?

15%

Step-by-step explanation:

A percent can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

In this case, the part is the puppies and the whole is the total number of dogs.

(puppies/all dogs) * 100

There are 18 puppies and 120 dogs in all.

(18 puppies / 120 total dogs) * 100

(18/120) * 100

First, solve inside the parentheses. Divide 18 by 120.

(0.15)* 100

Next, multiply 0.15 and 100

15

15%

15% of all the dogs in the kennel were puppies.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)