Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)

Step-by-step explanation:

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

GCF (greatest common factor) = 6

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :

66 + 36 = 3 (22 + 12)

But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :

66 + 36 = 6 (11+ 6)

= 6(17)

= 102

Hence, this is the required solution.

< 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⭐

the answer

b. they are parallel and will never intersect.