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Shalnov [3]
3 years ago
8

If A ⊂ B, then A ∩ B = A ∪ B. always sometimes or never

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Sometimes. Proof:

Assume A\subset B.

Let a\in A\cap B, so that a\in A and a\in B. Then of course a\in A\cup B, so A\cap B\subseteq A\cup B.

Now let a\in A\cup B, so that a\in A *or* a\in B. Since A\subset B, if a\in A then a\in B, so that a\in A\cap B. But if a\in B, then a\not\in A, so it's not always the case that a\in A\cap B, and therefore in general A\cup B\not\subseteq A\cap B.

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The scale of a room in blueprint is 3in 5ft. A wall in the same blueprint is 18in. what are the actual room measurements?
QveST [7]

Answer:

Actual length of wall = 30ft

Step-by-step explanation:

We have scale of a room as 3 inch for 5ft.

We can write scaling factor as:

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Scaling factor = 1/20

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So actual length of wall can be determined by dividing 18 inch by the scale factor.

i.e actual length of wall = 18 / scale factor  = 18 / (1/20)

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Hence Actual length of wall = 30ft

5 0
3 years ago
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dedylja [7]

Answer: The area of the triangle is 24 square inches

Step-by-step explanation:

Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:

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Feel free to ask for more if needed or if you did not understand something.

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Step-by-step explanation:

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