The ratio of cats to dogs at an animal boarding facility is 4 to 7. there are 28 dogs at the animal boarding facility. what is the total number of cats and dogs at the animal boarding facility?

16 cats to 28 dogs

44 animals in total

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step-by-step explanation:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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