Asanji ran 26.9 miles less than kathryn last week asanji ran 11.1 miles how many miles did kathryn run

For this case we propose a system of equations:

x: Let the variable representing the number of miles Asanji ran

y: Let the variable representing the number of miles Kathryn ran

According to the statement data we have:

Substituting the second equation into the first we have:

So, we have Karhryn ran 38 miles.

Karhryn ran 38 miles.

< 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)