The original price of a pair of shoes is $42. The sale price is 20% off the original price. What is the amount off the original price? What is the new price for the pair of shoes? (Hint two answers!)

a) What is the amount off the original price?

= $8.4

b) What is the new price for the pair of shoes?

= $33.6

Step-by-step explanation:

a) What is the amount off the original price?

We are told that:

The sale price is 20% off the original price.

Original price = $42

Hence:

$42 × 20%

$42 × 20/100

= $8.4

b) What is the new price for the pair of shoes?

The new price =

0riginal price - Amount off the original price

= $42 - $8.4

= $33.6

The original price = $33.6

the answer is b.

step-by-step explanation:

< 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)