Ratio conversion table kilograms (kg) : grams (g) 1 : 1,000 grams (g) : milligrams (mg) 1 : 1,000 kilograms (kg) : milligrams (mg) 1 : 1,000,000 using the conversion table, find the quantities equivalent to 1.75 grams. a 0.00175 kg b 1,750 mg c 17.5 g d 175 mg e 17,500 kg there must be more than one answer!

1.75 g = 1.75 ÷ 1000 =0.00175 kg

1.75 g = 1.75 x 1000 = 1750mg

A and B

The correct answers are:
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   [A]:  " 0.00175 kg "  ;  AND:
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    [B]:  " 1,750 mg " .

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Explanation:
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We are given: " 1.75 grams " ;  which is:  " 1.75 g " ; 

The answer choices are given in units of g, kg, and mg; 
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→Choice:  [C]:  "17.5 g" is the only answer choice provided that is given in units of "g" ; and is incorrect;  since:  "1.75 g"  "17.5 g" .
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Now, let us convert our given value:  " 1.75 g " ; into:  
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1)  units of "mg" ;  and:

2) units of "kg" ;
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Start with:  "units of "mg" :

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 1.75 g * [ (1000 mg) / (1 g) ] =  1 ,750 mg ; 

which is:  Answer choice:  [B]:  " 1,750 mg " .

→ We can rule out "Choice: [D] " .
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Now, convert to "units of "kg" :

1.75 g * (1 kg / 1000 g) =  [ (1.75) / {1000) ] kg ;

                                      =  0.00175 kg ;  

which is:  Answer choice:  [A]:  " 0.00175 kg " .

→  We can rule out "Choice:  [E] " .  
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< 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)