Medical students compared two types of knee surgery to determine if patients were able to return to their active lifestyles. They studied partial knee replacement and total knee replacement. Identify the response and explanatory variables. The response variable is the type of knee surgery, and the explanatory variable is the amount of activity the patients were able to do after surgery. The response variable is total knee replacement, and the explanatory variable is partial knee replacement. The response variable is partial knee replacement, and the explanatory variable is the amount of activity the patients were able to do after surgery. The response variable is the amount of activity the patients were able to do after surgery, and the explanatory variable is the type of knee surgery. The response variable is partial knee replacement, and the explanatory variable is total knee replacement.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

< 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)