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2 years ago

Find the value of angle n

Mathematics

1 answer:

Klio2033 [76]2 years ago

8 0

Answer:

Step-by-step explanation:

since angle 35 and the arrow are parallel they are the same.

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3. Let U and V be subspaces of a vector space W. Prove that their intersection UnV is also a subspace of W

kenny6666 [7]

Answer: The proof is done below.

Step-by-step explanation: Given that U and V are subspaces of a vector space W.

We are to prove that the intersection U ∩ V is also a subspace of W.

(a) Since U and V are subspaces of the vector space W, so we must have

0 ∈ U and 0 ∈ V.

Then, 0 ∈ U ∩ V.

That is, zero vector is in the intersection of U and V.

(b) Now, let x, y ∈ U ∩ V.

This implies that x ∈ U, x ∈ V, y ∈ U and y ∈ V.

Since U and V are subspaces of U and V, so we get

x + y ∈ U and x + y ∈ V.

This implies that x + y ∈ U ∩ V.

(c) Also, for a ∈ R (a real number), we have

ax ∈ U and ax ∈ V (since U and V are subspaces of W).

So, ax ∈ U∩ V.

Therefore, 0 ∈ U ∩ V and for x, y ∈ U ∩ V, a ∈ R, we have

x + y and ax ∈ U ∩ V.

Thus, U ∩ V is also a subspace of W.

Hence proved.

7 0

3 years ago

Noelle used 17 lemons to make lemonade. This was 85% of all the lemons

LuckyWell [14K]

Answer:

20 lemons

Step-by-step explanation:

Let the number of lemons = 'x'

85% of x = 17

$\frac{85}{100}*x = 17\\\\x = \frac{17*100}{85}\\x = 20$

6 0

2 years ago

Read 2 more answers

Ms. Morgan is the cafeteria manager. She keeps track of how many students select each type of drink. Today during breakfast, 32

blsea [12.9K]

Answer:

ratio of those who picked juice to milk

it refers to division

6 0

10 months ago

Transform the equation.

zvonat [6]

Answer:

2 (6/x-6)+4

Step-by-step explanation:

5 0

3 years ago

Which statement is NOT true?

mrs_skeptik [129]

Answer:

A, a rhombus has all the properties of a square.

Step-by-step explanation:

Not all quadrilaterals will be the same

6 0

3 years ago