a family rents a truck to move from buffalo to chicago. the rental has a base cost of 49.95 plus the additional 1.19 per mile driven. the family also pays for gas which cost 3.89 per gallon. the truck's average gas mileage is 18 miles per gallon. what is the total cost of the move?

$75.26

Step-by-step explanation:

Base cost = $49.95

Total mile cost = 1.19*18 = $21.42

Gas cost = $3.89

Total cost = $(49.95 + 21.42 + 3.98) = $75.26

< 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)

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