Sam is planning a party. Torres catering charges $4 per person plus a delivery fee of $24. Johnson catering has no delivery fee, but charges $4.60 a person. How many people must Kelly invite to the party to make the cost of both catering companies the same?

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

isn't it a pentagon? sense [3 (triangle) + 4 (rectangle)] - 2 (triangle and rectangle connected) = 5 (pentagon)

$25 becasue a 10 increase would make it from 80 to 50

answer is  

a.

93.98 sq. in.

hope you got it chief