Grayson charges $35 per hour plus a $35 administration fee for tax preparation, lan charges $45 per hour plus a $15
administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge
more than lan?
Oh> 2
on<5
h>5

  h < 2

Step-by-step explanation:

The charges by Grayson are ...

  35h +35

The charges by Ian are ...

  45h +15

We want to find h for ...

  Grayson > Ian

  35x +35 > 45h +15 . . . . use expressions we found

  20 > 10h . . . . . . . . . . . . add -15-35h

  2 > h . . . . . . . . . . . . . . . divide by 10

Grayson will charge more for less than 2 hours.

< 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)