Find the value of the variable.

A. 12.0
B. 2.2
C. 10.5
D. 4.66

C. 10.5

Step-by-step explanation:

Intersecting chords theorem

If two chords intersect in a circle, the products of the measures of the segments of the chords are equal.

⇒  15 · 7 = 10 · x

⇒  105 = 10x

⇒ x = 105 ÷ 10

⇒ x = 10.5

< 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⭐

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.