If 6 1/2 ounces of semisweet chocolate make 32 1/2 eggs, then sixty eggs need how many ounces of chocolate?

12 ounces

Step-by-step explanation:

6 1/2 chocolate 32 1/2 eggs

x chocolate         60 eggs

x= [(6 1/2)*60]/ (32 1/2) = [(13/2)*60]/(65/2) = [13*30]/(65/2)=[13*30]*(2/65) =

=[13*30*2]/65 = 12

irrational, cannot

(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