Scientists are studying the number of wild coyotes in an area of northeastern Montana. After 1 year, there are 49 coyotes. After 5 years, there are 33 coyotes.  Assuming there is a constant change in the number of coyotes per year, write an equation in slope-intercept form that could be used to predict the number of coyotes in any given year.

In ten more years will there be any coyotes left in northeastern Montana?

22

step-by-step explanation:

< 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)

thus, the first answer choice, y = sec x, is the correct one