Annette rode her bike 6.8 miles at a constant rate for 90 minutes. to find how fast she traveled, she solved the equation 6.8= x⋅90. what does x represent?
a)the total distance after x minutes
b)her speed in miles per minute
c)the amount of time it takes to travel 6.8 miles
d)the number of miles she has traveled so far

x represents Annette speed in miles per minute. Hence, option b) is correct.

Step-by-step explanation:

Given that Annette rode her bike 6.8 miles at a constant rate for 90 minutes. Also to find how fast she traveled, she solved the equation . Now, we have to tell here what x represents.

As,

Let speed of bike is x miles/min and given distance is 6.8 miles and at a constant rate for 90 minutes.

∴

⇒  

which is the same equation as given.

Here x represents Annette speed in miles per minute. Hence, option b) is correct.

answer: i wpould go with c

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)