Sam's dog weighs 72 pounds. the vet suggests that for the dog's
health, its weight should decrease by 12.5 percent. according to the
vet, what is a healthy weight for the dog? (lesson 5.1)

ANSWER:

According to the vet healthy weight of the dog is 63 pounds.

SOLUTION:

Given, Sam's dog weighs 72 pounds.  

The vet suggests that for the dog's health, its weight should decrease by 12.5 percent.

Now, we need to find the healthy weight of a dog.

Healthy weight of dog = present weight of dog – 12.5 percent of its present weight

Healthy weight = 72 – 12.5 % 72

= 72 – 9  = 63 pounds

Healthy weight of the dog is 63 pounds

Hence, according to the vet healthy weight of the dog is 63 pounds.

< 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)

6

step-by-step explanation: