the diagram shows the universal set u = {parallelograms}. set a represents parallelograms with four…
the diagram shows the universal set u = {parallelograms}. set a represents parallelograms with four congruent sides, while b represents parallelograms with four congruent angles. how many of the parallelograms fall into the category a u b? 6 8 18 26
Answer
Explanation:
Step1: Recall union formula
The formula for $n(A\cup B)$ is $n(A\cup B)=n(A)+n(B)-n(A\cap B)$.
Step2: Identify values from V - enn diagram
From the V - enn diagram, $n(A) = 12 + 8=20$, $n(B)=8 + 6 = 14$, and $n(A\cap B)=8$.
Step3: Calculate $n(A\cup B)$
$n(A\cup B)=(12 + 8)+(8 + 6)-8=26$.
Answer:
26