A painting company charges $261 base plus $15 per hour.
Another painting company charges
$210 base plus $18 per hour. Write
and solve the equation to find out in
how many hours the 2 companies
will charge the same amount of
money.

17 hours

Step-by-step explanation:

so basically the point of intersection.

the equation for the first painting company: y=15x+261

equation for second painting company: y=18x+210

when the equation of both equal the same:

15x+261=18x+210

15x-18x=210-261

-3x=-51

x=17 hours

< 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⭐