Which series of transformations shows that quadrilateral A is similar to quadrilateral B? A.
Reflect quadrilateral A over the y-axis, translate it one unit down and four units to the left, and dilate it by a scale factor of two.

B.
Rotate quadrilateral A 180° about the origin, translate it one unit up and four units to the right, and dilate it by a scale factor of two.

C.
Reflect quadrilateral A over the x-axis, translate it one unit up and four units to the right, and dilate it by a scale factor of two.

D.
Rotate quadrilateral A 90° clockwise about the origin, translate it one unit down and four units to the left, and dilate it by a scale factor of two.

(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

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.