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
faltersainse [42]
3 years ago
14

Please help !! using the image above match each pair of angles with the correct relationship

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

9514 1404 393

Answer:

  • Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
  • Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
  • Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
  • Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
  • Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}

Step-by-step explanation:

"Alternate" means the angles are on opposite sides of the transversal.

"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.

"Exterior" means the angles are outside the parallel lines.

"Interior" means the angles are between the parallel lines.

"Corresponding" means the angles are in the same direction from the point of intersection.

  • Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
  • Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
  • Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
  • Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
  • Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}

You might be interested in
The surface area of a cylinder is 1000 square centimeters. The radius of the cylinder is four times the
Elina [12.6K]

Answer:

h = 2.82 cm

Step-by-step explanation:

surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm

6 0
3 years ago
Write the point-slope form of the line that passes through (5,5) and is perpendicular to a line with a slope of 1/4 include all
amid [387]

<u>Answer:</u>

The point-slope form of the line that passes through (5,5) and is perpendicular to a line with a slope of \frac{1}{4} is 4x + y -25 = 0

<u>Solution:</u>

The point slope form of the line that passes through the points \left(x_{1} y_{1}\right) and perpendicular to the line with a slope of “m” is given as  

\bold{y-y_{1}=-\frac{1}{m}\left(x-x_{1}\right)} ---- eqn 1

Where “m” is the slope of the line. x_{1} \text { and } y_{1} are the points that passes through the line.

From question, given that slope “m” = \frac{1}{4}

Given that the line passes through the points (5,5).Hence we get

x_{1}=5 ; y_{1}=5

By substituting the values in eqn 1 , we get the point slope form of the line which is perpendicular to the line having slope \frac{1}{4}can be found out.

y - 5 = -4(x - 5)

y - 5 = -4x + 20

on simplifying the above equation, we get

y - 5 + 4x -20 = 0

4x + y - 25 = 0

hence the point slope form of given line is 4x + y - 25 = 0

3 0
3 years ago
A car dealership sold 236 car in 4 months. At what rate did the dealership sell cars in per month ?
elixir [45]
If you divide 236 by 4 you will get 59. So the answer is 59 cars are sold in a month, on average
3 0
3 years ago
Round off 53.96 to the nearest tenth​
Ne4ueva [31]

Answer:

54.0

Step-by-step explanation:

53.96

The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).

Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.

9 + 1 = 10

Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.

5<u>3</u>.96

54.00

Since you are focusing on the tenth place, keep the zero sitting on that spot.

54.0

5 0
3 years ago
6 less than a number is less than the quotient of the number and 3.
Yakvenalex [24]

Answer:

x<9

Step-by-step explanation:

x-6<x/3

3(x-6)<x

3x-18<x

3x-x<18

2x<18

X<18/2

X<9

7 0
2 years ago
Other questions:
  • Scott has 6 days to save enough money for a $45 concert ticket. If he saves the same amount each day, what is the minimum amount
    6·2 answers
  • if the second angle is 20% more than the first angle and the third angle is 20% less than the first angle in a triangle, then fi
    14·1 answer
  • Does a multi-step equation always, sometimes or never have a solution?
    10·1 answer
  • 10x-8y=4<br> -5x plus 3y=-9
    12·1 answer
  • 7/8m+9/10-2m-3/5<br> Combine like terms to create an equivalent expression.
    5·1 answer
  • Which expression is equivalent to the given expression?
    7·1 answer
  • How long will it take you to drive 225 miles of the speed of 25 mph
    7·2 answers
  • The awnser for this question
    12·1 answer
  • (A) 2.4 cm <br>(B) 4.8 cm <br>(C) 1.8 cm <br>(D) 3.6 cm​
    10·1 answer
  • Distribute: 2 (x + 1)*
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!