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
masya89 [10]
2 years ago
13

Determine which lines are parallel and which are not parallel. Explain your reasoning.

Mathematics
1 answer:
NeX [460]2 years ago
6 0

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

You might be interested in
Can someone plz help me if u can’t see zoom in plz help me
kvv77 [185]

Answer:

City 1 and City 2

Step-by-step explanation:

The water is moving down stream, moving from City 1-2-3-4 in that order.

if water was taken a the X mark, the pollutants would have to have come from the cities above where the sample was taken.

Hope this helps!

8 0
2 years ago
Read 2 more answers
Tanikwa started a new exercise program using the indoor track. In her first workout she ran 8 laps for every 4 laps that she wal
Elina [12.6K]

Answer:

The correct answer would be 2:1

Step-by-step explanation:

In order to find this, start with the ratio as it is written and sub in the values. Then simplify to the lowest possible terms.

Ran:Walker

8:4

2:1

6 0
3 years ago
Can y’all help me with this?
77julia77 [94]

Answer:

BBBBB

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve the expression using pemdas (4+5)÷3×4​
Dennis_Churaev [7]

1) you add the variables in the bracket

(4+5)÷3×4

9÷3×4

2) you multiply 3 by 4

9÷3×4

9÷12

3) now you divide 9 by 12

9÷12

=0.75

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!! WORTH 20 points it’s all I have show all of your work!!!!!!!
stiv31 [10]

Answer:

Part A: [0,2], Part B: [2, 4], Part C: [8,10], Part D: 0 ft

Step-by-step explanation:

Part A:  The time between 0 seconds to 2 seconds is the time when it's increasing. There is no other time like that.

Part B: The graph shows a straight line so therefore it is staying the same.

Part C: The graph shows a sharp decline.

Part D: Starting from the 10th second, the balloon already hit to ground so it would only make sense for it to stay there...

8 0
3 years ago
Other questions:
  • What is the value of x?
    15·1 answer
  • Will give brainliest to whoever can explain this.
    10·1 answer
  • Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 2x+y+
    5·1 answer
  • As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of
    10·1 answer
  • You are to demonstrate that you understand slope. You are to draw two graphs of lines. One line needs to have a slope of 2/3 and
    14·1 answer
  • Nth term of this sequence 5 10 15 20 25
    7·1 answer
  • Find the slope of the line determined by each pair of points: (-1,3), (-6,-4)
    6·1 answer
  • 11. Cory owns x shoes. Nico has y shoes. The
    13·2 answers
  • Given two points (-3, 1) and (4, -1) are on a line. Write an equation in slope-
    14·1 answer
  • What is the value of <br> 2021<br> −<br> 2223<br> +<br> 2425<br> ?<br> ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!