1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lakkis [162]
4 years ago
5

if you draw 35 lines on a piece of paper so that no two lines are parallel to each other and no three lines are concurrent, how

many times will they intersect?
Mathematics
1 answer:
Levart [38]4 years ago
5 0

Answer:

The lines will intersect 595 times.

Step-by-step explanation:

We can do it in 2 methods.

<u>1st method:-</u> Let us count the number of intersections by drawing lines one by one.

1st line - 0 points=0

2nd line- new 1 point=1

3rd line - old 1 point + new 2 points with two old lines = 1+2

4th line - old (1+2) points+ new 3 points= 1+2+3

5th line - old (1+2+3) points + new 4 points=1+2+3+4

Like that from 35th line-1+2+3+4......34 = \frac{34X35}{2}=595

<u>2nd method:-</u>

We have to choose 2 lines from 35 lines.

We can do it in 35_{C} _{2} ways = 595 points

You might be interested in
Karla makes paper airplanes. Today, it takes her 32 min to make 16 paper airplanes.
Pavel [41]

Answer:

48/b

Step-by-step explanation:

32÷16=2 so it takes two minutes per airplane. if she makes airplanes for 96 minutes at the same pace (2 min per airplane) then you need to divide 96 by 2 which gives you 48!

7 0
3 years ago
What is the answer <br>7(2m+5)​
ira [324]

Answer:

14m+35 is your answer ☺️☺️☺️

6 0
3 years ago
Read 2 more answers
Line E'F' has endpoints located at E'(1,0) and F'(1,3). Line EF was dilated by a scale of 1/2 from the orgin. Which statement de
Lerok [7]

Answer:

If line EF was dilated by a scale of 1/2 from the origin to get line E'F', then if line E'F' is dilated by a scale of 2 from the origin, EF is obtained. Also, the length of EF is double than the length of E'F'.

Dilation by a scale of 2 from the origin transforms point (x,y) into (2*x, 2*y)

E'(1,0) -> E(2,0)

F'(1, 3) ->F(2, 6)

length of E'F': 3

length of EF: 6

6 0
3 years ago
I need help with this
defon

i guess just times them all then divide up by how many numbers you have

3 0
3 years ago
The distance between two cities is 180km. The distance was covered by a car at the rate of 50km/h, by a bus 45km/h, by a truck a
Gennadij [26K]

Answer:

The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.

The constant is the total distance which is 180 km

Step-by-step explanation:

Step one:

given data

The distance between the  two cities is 180km

1.The distance was covered by a car at the rate of 50km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/50

time= 3.6 hours

2.The distance was covered by a bus 45km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/45

time= 4 hours

3.The distance was covered by a bicycle at 25km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/25

time= 7.2 hours

7 0
3 years ago
Other questions:
  • Please help asap I'll give 20 points
    15·1 answer
  • An election ballot asks voters to select three city commissioners from a group of six candidates, in how many ways can this be d
    5·1 answer
  • I need help with this asap. (4x+2)(x+1)=
    5·2 answers
  • Write a story complex for 1/4÷1/8
    11·1 answer
  • 1.
    5·1 answer
  • A giant pizza box in the shape of a rectangular prism measures 38 m × 38 m × 0.25 m. What is the surface area of the box?
    6·1 answer
  • 7th GRADE MATH WILL GIVE BRAINLIEST 20 POINTS ​
    5·1 answer
  • Make a equation for the scatter plot line
    12·1 answer
  • 22222222222222+2222222222222222222
    5·2 answers
  • During a certain five year. The consumer price index decreased by 75% but during the next five yearperiod is decreased by only 3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!