The Smiths spend 5% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,150 on entertainment. What was their total budget last year?

Total budget last year was $41000

Step-by-step explanation:

The Smiths spend 5% of the total budget on entertainment.

Amount on entertainment =

This year they planned to spend the amount on entertainment = $2150

So, 2150 = Total budget ×

Total budget this year =

                                     = $43000

Since, Total budget this year = Total budget last year + $2000  

$43000 = Total budget last year + $2000  

Total budget last year = $43000 - $2000

                                     = $41000

probably the last option

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)