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enot [183]
3 years ago
14

For what value of x is line m parallel to line n? This is quite urgent.

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

20

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures 65^{\circ} and (3x+5)^{\circ} are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20

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Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)

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By descriptive method = Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.Listing method : A = { 11, 19, 27, 35, 43} and Set builder method : A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

We are given that:

Number range 5 - 50

Remainder = 3 when the number is divided by 8

We need to find the sets of numbers between 5 to 50 when they are divided by 8 gives remainder 3 by description method, listing method and set builder method.

Let the set be A

Descriptive Method

Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.

Listing Method

A = { 11, 19, 27, 35, 43}

Set Builder Method

A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

Therefore, we get that, by descriptive method = Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.Listing method : A = { 11, 19, 27, 35, 43} and Set builder method : A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

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