2. casey puts wrapping paper around a gift box. she wants to tie a ribbon
lengthwise and widthwise around the box and have 24 inches of ribbon left
over to tie a bow. she bought a spool of ribbon that contains 90 inches of
ribbon.
does casey have enough ribbon to tie around the box and make a bow?

(a) describe two different ways to solve the problem.

(b) solve the problem.

(c) describe two different ways that casey could tie up the package if she
finds that she doesn’t have the amount of ribbon she need

(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