A = {multiples of 3 between 20 and 32} B = {odd numbers between 20 and 32}
C = {even numbers between 20 and 32}
a) List the members of AUB
Note: Please clearly label you
b) List the members of Anc
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 a) A U B =  {21, 23, 24, 25, 27, 29, 30, 31}

               b) A ∩ C = {24, 30}

Step-by-step explanation:

A = {21, 24, 27, 30}

B = {21, 23, 25, 27, 29, 31}

C = {20, 22, 24, 26, 28, 30, 32}

  I included 20 and 32 even though they are not strictly BETWEEN 20 & 32

A U B means the union of the two sets, which includes everything from both sets.

A U B = {21, 24, 27, 30} U {21, 23, 25, 27, 29, 31}

          = {21, 23, 24, 25, 27, 29, 30, 31}

A ∩ C means the intersection of the sets - only those values that are in both sets.

A ∩ C = {21, 24, 27, 30} ∩  {20, 22, 24, 26, 28, 30, 32}

          = {24, 30}

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.