30% of the pens in a box are missing their caps. There are 24 pens missing their caps.

80

Step-by-step explanation:

1, 30/24= 1.25 1.25 is the unit rate percentage of a pen

2, 100/1.25 is 80 pens

3, checking our work... we know we have 80 pens so 80 1.25*80= 100%

(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