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Firlakuza [10]
3 years ago
6

How many line segments are in the 20th figure?

Mathematics
1 answer:
Trava [24]3 years ago
5 0
The first figure has 3 line segments.

the second figure has 3+3 =3*2 =  6 line segments

the third figure has 3+3+3 = 3*3 = 9 line segments

the fourth figure has 3+3+3+3=3*4=12 line segments...


so it is clear that:

the 20th figure has 3*20=60 line segments.


Answer: 60
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X – 6y - 9 = 0 x = 8y + 6 What is a resulting equation?
serious [3.7K]

Answer:

-2y + 3 = 0

Step-by-step explanation:

x - 6y - 9 = 0

-6y - 9 = -x                          subtract x from both sides

6y + 9 = x                            divide both sides by -1

x = 8y + 6

6y + 9 = 8y + 6                    replace x with 6y + 9

-2y + 9 = 6                           subtract 8y from both sides

-2y + 3 = 0                            subtract 6 from both sides

3 0
3 years ago
Convert the following statement using an "if-then" structure.
GaryK [48]

Answer:

  D. If John owns a dog, then he owns a cat

Step-by-step explanation:

The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...

  ~(John owns a dog) ∨ (he owns a cat)

Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...

  • p = John owns a dog
  • q = he owns a cat

and put those into the structure of the implication: if p, then q.

  If John owns a dog, then he owns a cat. . . . . matches choice D

6 0
2 years ago
What is the linear function equation that best fits the data set?
slavikrds [6]

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

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Therefore, Option 3 will be the correct option.

8 0
3 years ago
Solve the system using substitution.<br> 2x = 5y + 14<br> x = 5y
andrew-mc [135]

Answer:

<h2>y = 2.8</h2><h2>x = 14</h2>

Step-by-step explanation:

To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.

10y = 5y + 14

First, we need to get all the variables on one side of the equation, so we subtract 5y.

5y = 14

Divide by 5

y = 14/5 or 2 4/5 or 2.8

Now for the x part.

2x = x + 14

Subtract 1x

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Now we check our answer.

2(14) = 5(2.8) + 14

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Because 28 equals 28, our solutions are correct.

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Carla has 58 pencils what is the value of the digit of in this number
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Which one five or eight?
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