You need to rent a moving truck for a day. you have identified two companies that rent trucks. company a charges $50 per day plus $0.15 per mile. company b charges $45 per day plus $0.20 per mile. for how many miles will the cost of renting be the same?

X= 50.  The cost of renting will be the same for 50 miles

Step-by-step explanation:

50 + 0.15X = 45 + 0.25X

5 = 0.10X

5/0.1 = X

50 = X

After driving 50 miles, it's cheaper to rent from company A.

< 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)