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Paul [167]
2 years ago
7

Points L, M, and N are collinear.

Mathematics
1 answer:
Natali5045456 [20]2 years ago
6 0
<h3>Answer:</h3>

33

<h3>Step-by-step explanation:</h3>

Vocabulary

Before going into an explanation, let's go over some important vocabulary.

  • Collinear - Collinear describes points that are on the same line. This means that there is 1 line with the 3 points L, M, and N.
  • Segment addition postulate - The segment addition postulate states that if there are 2 collinear points (A and C) with another point in between them (B), then the statement AB + BC = AC must be true.

Solving for MN

Using the postulate above we can make a new equation. First, let's set up an equation that mirrors the postulate.

  • LM + LN = MN

Now, let's plug in the values we know.

  • 13 + 20 = MN

Then, solve.

  • 33 = MN

This proves that a possible value of MN is 33.

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The number of fiction books in a libary is %150 of the number of non-fiction books. the libary has 4,000 books in total. how man
Nitella [24]

Answer:

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

Step-by-step explanation:

Let the number of

Fiction books = x

Non fiction books = y

The libary has 4,000 books in total.

Hence: x + y = 4000........ Equation 1

The number of fiction books in a libary is %150 of the number of non-fiction books.

x = 150% of y

x = 150/100 × y

x = 1.5y

We substitute 1.5y for x in Equation 1

x + y = 4000

1.5y + y = 4000

2.5y = 4000

y = 4000/2.5

y = 1600 non fiction books

Solving for x

x = 1.5y

x = 1.5 × 1600

x = 2400 fiction books.

Therefore,

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

5 0
3 years ago
You earn $65,000 a year, are married, and claim your spouse, yourself, and two children. What amount is withheld weekly for fede
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Answer:

C

Step-by-step explanation:

5 0
3 years ago
4:3 and 25:45 are equal ratios true or false
kondaur [170]
False.

The scale factor for 3 and 45 is 15.

45 / 3 = 15.

We know that 25 isn't even a whole number for the scale factor, because no number x 4 can equal 25 (whole numbers only).

25 / 3 = 6.33333
8 0
3 years ago
What is the probability that all three of them will have birthdays in the same month as you?
Effectus [21]
Probabilty = 12×(1/12)^3=1/144
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3 years ago
5x-10x+ 2(3y-2)= 10y-5x + 4
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5x-10x+ 2(3y-2)= 10y-5x + 4

Multiply 2 x 3y and by -2

5x-10x+6y-4=10y-5x+4

You get 6y-4

-5x+6y-4=10y-5x+4

Subtract 10x from 5x to get -5x

6y-4=10y+4

Add 5x to the -5x

6y=10y+8

Add 4 to the other side to get 8

-4y=8

Subtract 6y-10y to get -4y

-4y/-4=8/-4

Divide -4y and 8 by -4 to get y by itself and -2

Y=-2

Answer

Hope this helps
6 0
3 years ago
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