Paula purchased adult and child tickets for the carnival. tickets cost $19.95 for each adult and $9.95 for each child. let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. write an expression to represent the total cost of the tickets paula purchased.
$19.95x + $9.95y
$19.95y + $9.95x
($19.95 + $9.95)(x + y)
($19.95 - $9.95)(x + y)

A: $ 19,95 + $9,95

Step-by-step explanation:

Cost of adult ticket: $19,95

Cost of child ticket: 9,95

x: number of adult tickets

y: number of child tickets

$19,95x + 9,95y =  T,total cost of tickets paula purchased.

For example, if there were 4 adults and 3 children,

($19,95 . 4) + ($9,95 . 3)= T

$79,80 + 29,85= 109,65

the total cost of tickets would be $109,65.

< 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)