How many rational numbers exist between any two consecutive integers?

An infinite amount

Step-by-step explanation:

A rational number is anything that can be expressed as a fraction.

Take '0' and '1' for instance.

1/10

1/100

1/1000

1/10000

1/100000

1/1000000

1/10000000

1/100000000

1/1000000000

You get the idea.

< 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)

well your weight will go up if you are not going to burn the calories/ carbs

step-by-step explanation: