1. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Answer
Step 1: 24.95 + 14.95 = 39.90
clercks step
the percent
Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her
error. Explain in writing how to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest hundredth)

39.995=40.00

Step-by-step explanation:

0.095 is tax he just added 9.5 he is not correct

< 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)