Use your calculator to evaluate e^-2. round your answer to three decimal places.

The answer is 0.135

Using the calculator, e^-2 = 0.13533528323

Since we want to round it to three decimal places, we are interested in the 3rd and the 4th decimal places. If the 4th decimal place is bigger than 5, we should increase the 3rd decimal place by 1. If it is smaller than 5, then the 3rd decimal place remains the same. In our case, the 4th decimal place is 3, which is smaller than 5, therefore, the 3rd decimal place will remain the same:
e^-2 = 0.135

Idon’t see a picture

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax   (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

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)