Mr. yan is competing in a local biathlon, a race which consists of a biking and a running event. the race is a total distance of 11.42 miles. if the biking event is 8.7 miles, what is the distance of the running event?

< 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

⭐dhruv⭐

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .