Answer:
512 ways
Step-by-step explanation:
Given
Selection
Faculty Member = 1
Male Student = 1
Female Student = 1
Parent = 1
School Board Member = 1
Select from:
Faculty Member = 2
Male Student = 4
Female Student = 4
Parent = 4
School Board Member = 4
Required
Determine how many ways they can be selected
There are 2 faculty members of which 1 will be selected from.
Any of these two members may be selected.
So, Selection = 2
There are 4 male students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 female students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 parents of which 1 will be selected from.
Any of these four parents may be selected.
So, Selection = 4
There are 4 school board members of which 1 will be selected from.
Any of these four members may be selected.
So, Selection = 4
Total number of selection is then calculated as thus:
<em>Hence, there are 512 ways</em>
The triangles are similar by the AA similarity theorem, therefore, the answer is: (b) yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠r ≅ ∠s (alternate interior angles).
<h3>What is the AA Similarity Theorem?</h3>
If two angles in one triangle are said to be the same or congruent to two corresponding angles in another triangle, based on the AA similarity theorem, the two triangles can be proven to be similar triangles.
In the diagram given, we know that: angles QUR is congruent to angle TUS based on the vertical angles theorem.
We also known that, alternate interior angles, angles R and S are congruent.
This means that both triangles have two pairs of corresponding congruent angles. We can prove that they are similar to each other by the AA similarity theorem, therefore, the answer is: (b) yes, because ∠qur ≅ ∠tus (vertical angles) and ∠r ≅ ∠s (alternate interior angles).
Learn more about the AA similarity theorem on:
brainly.com/question/21247688
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Answer: d^(2) + (ab)/(c)
Step-by-step explanation:
To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.
55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.
So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.