Last year during the July 4th holiday, Americans ate about 150,000,000 hot dogs. Over the entire year, Americans ate a total of about 2 x 10^10. Compute how many times greater the total number of hot dogs eaten by Americans last year was than the number of hot dogs eaten during the 4th of July holiday. Round your answer to the nearest one.

133 times

Step-by-step explanation:

First, convert 2 x 10^10 out of scientific notation:

20,000,000,000

Since this is the total amount of hotdogs, divide by the number eaten on July 4th:

20,000,000,000 / 150,000,000 = 133.3333333

Round to nearest one: 133 times

< 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)