The admission fee for a soccer game is $5 for adults and $3 for children. 2,600 people attended the game and $11,400 is collected in ticket sales. which system of equations yields the cost of an adult ticket, a, and a child ticket, c? a) a + c = 2,600 a + c = 11,400 b) a + c = 11,400 5a + 3c = 2,600 c) a + c = 2,600 5a + 3c = 11,400 d) 5a + 3c = 2,600 5a + 3c = 11,400

C)

Step-by-step explanation:

Because there are 2600 people, a + c = 2600.

It is $5 for adults and $3 for children, and this is $11400, so 5a + 3c = 11400.

This is C).

< 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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