Given the following Venn diagram, choose the correct set for M UN
1 answer:
Answer:
- Third choice: {3, 4, 6, 7, 9}
Explanation:
Please, find the Venn diagram attached.
You have to find the set that represents the union of the set M and N (M ∪ N). That is a set with the elements that belong either to set M or set N.
The elements that belong to the set M are the numbers inside the circle M: 3, 4, 7 and 9.
The elements that belong to the set N are the numbers inside the circle N: 4, 6 and 7.
The complete list of the numbers in the union set is 3, 4, 6, 7, and 9, as you must not repeat the elements that belong to both sets.
So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.
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Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so
solve for TS
we have
substitute
Step 2
<u>Find the value of SQ</u>
we know that
we have
substitute
therefore
<u>the answer is</u>
the value of SQ is