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viva [34]
2 years ago
8

give an example of parallel lines in the real world. then describe how you could prove that lines are parallel.

Mathematics
1 answer:
worty [1.4K]2 years ago
6 0

Answer:

An example would be the way that the shelves of a bookcase are positioned, they are parallel. Parallel lines are two or more lines that when drawn out infinitely long never intersect.

Step-by-step explanation:


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WILL GIVE 100 POINTS
padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the the first term
  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

∵ There are 120 seat in a row

- Substitute a_{n} by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0
2 years ago
A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F a
USPshnik [31]

Answer:

Step-by-step explanation:

The formula we need here is

6(6+x)=5(5+x+3)

which simplifies to

6(6+x)=5(8+x)

which simplifies to

36 + 6x = 40 + 5x and

x = 4

So DG = 5 + 4 + 3 which is 12

7 0
3 years ago
Read 2 more answers
What is the answer to -3(-6.2) = in simplest form
Ksju [112]

Answer:

18.6

Step-by-step explanation:

-3(-6.2)

~Expand

-3 * -6.2

~Multiply

18.6

Best of Luck!

4 0
3 years ago
HELP!!! 40 points for right answer! i will upvote brainliest!!
krok68 [10]
It is C: Given, Reflexive Property

4 0
3 years ago
Read 2 more answers
If an angle is three times of its supplement, find the angle​
zavuch27 [327]

Answer:

<h2>135° angle</h2>

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

5 0
2 years ago
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