Printer A prints 36 pages every 1.5 minutes. Printer B prints 114 pages every 3 minutes. Printer C prints 115 pages every 5 minutes Which printer prints the fastest?

Printer B

Step-by-step explanation:

If printer A prints 36 pages every 1.5 minutes (90 seconds) we can divide 90 seconds by 36 to determine how long it takes Printer A to print one page. When we do that, we get 2.5 seconds which means it takes Printer A 2.5 seconds to print one page.

If we do the same with Printer B, we can divide 3 minutes (180 seconds) by 114 to get about 1.5 seconds which means it takes Printer B about 1.5 seconds to print one page.

If we do the same with Printer C, we can divide 5 minutes (300 seconds) by 115 to get about 2.6 seconds which means it takes Printer C about 2.6 seconds to print one page.

From this we can determine which printer prints the fastest and our answer will be Printer B.

< 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)

c

step-by-step explanation: