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Nutka1998 [239]
3 years ago
10

Four triangle are shown above based on these triangles which statement is true?

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Because the number of degrees in a triangle is 180 degrees so x = 180 - (45 + 60) = 75. Now w + 75 = 180 , therfore w = 105 degrees.


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Suppose that X is a subset of Y. Let p be the proposition ‘x is an element ofX’ and let q be the proposition ‘x is an element of
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Answer:

See answer below

Step-by-step explanation:

The statement ‘x is an element of Y \X’ means, by definition of set difference, that "x is and element of Y and x is not an element of X", WIth the propositions given, we can rewrite this as "p∧¬q". Let us prove the identities given using the definitions of intersection, union, difference and complement. We will prove them by showing that the sets in both sides of the equation have the same elements.

i) x∈AnB  if and only (if and only if means that both implications hold) x∈A and x∈B if and only if x∈A and x∉B^c (because B^c is the set of all elements that do not belong to X) if and only if x∈A\B^c. Then, if x∈AnB  then x∈A\B^c, and if x∈A\B^c then x∈AnB. Thus both sets are equal.

ii) (I will abbreviate "if and only if" as "iff")

x∈A∪(B\A) iff x∈A or x∈B\A iff x∈A or x∈B and x∉A iff x∈A or x∈B (this is because if x∈B and x∈A then x∈A, so no elements are lost when we forget about the condition x∉A) iff x∈A∪B.

iii) x∈A\(B U C) iff x∈A and x∉B∪C iff x∈A and x∉B and x∉C (if x∈B or x∈C then x∈B∪C thus we cannot have any of those two options). iff x∈A and x∉B and x∈A and x∉C iff x∈(A\B) and x∈(A\B) iff x∈ (A\B) n (A\C).

iv) x∈A\(B ∩ C) iff x∈A and x∉B∩C iff x∈A and x∉B or x∉C (if x∈B and x∈C then x∈B∩C thus one of these two must be false) iff x∈A and x∉B or x∈A and x∉C iff x∈(A\B) or x∈(A\B) iff x∈ (A\B) ∪ (A\C).

8 0
3 years ago
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kiruha [24]

Answer:

55*5=275

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(2a^(3))^(-3)<br> --------<br> (3b(-2))
Andrei [34K]
Hello,

\dfrac{(2a^{3})^{-3}}{3b*(-2)}=-\dfrac{1}{(2a^3)^3*6b}=-\dfrac{1}{48a^9b}



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Answer:

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you welcome

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