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
Oxana [17]
2 years ago
14

I. Tell whether each statement is TRUE or FALSE. Refer to the figure below. Write your answer on the space provided.

Mathematics
1 answer:
Vika [28.1K]2 years ago
3 0

Answer:

1. TRUE

2. TRUE

3. TRUE

4. TRUE

5. FALSE

6. TRUE

Step-by-step explanation:

1. From the diagram, we have that m∠2 and m∠7 are alternate interior angles

If m∠2 = 70° and m∠7 = 70°, then we have;

m∠2 = 70° = m∠7

m∠2 = m∠7

Therefore, the alternate interior angles of the lines l₁, and l₂ are equal, and therefore, the lines l₁ and l₂ are parallel, l₁ ║ l₂

TRUE

2. If m∠3 = 90° and m∠7 = 90°, therefore, the angle formed by the intersection of l₃ and l₂ = 90°

Therefore l₃ ⊥ l₂

TRUE

3. m∠5 and m∠7 are corresponding angles

If m∠5 = 85° and m∠7 = 85°, then, m∠5 = m∠7

Therefore, the corresponding angles formed by the lines l₁ and l₂ are equal, therefore;

l₁ ║ l₂

TRUE

4. Whereby we have, m∠1 = m∠5, we get;

m∠1 + m∠5 = 180° by sum of angles on a straight line

∴ m∠1 + m∠5 = m∠1 + m∠1 = 2·m∠1 = 180°

m∠1 = 180°/2 = 90°

∴ m∠1 = 90° = m∠5, and l₃ ⊥ l₁

TRUE

5. m∠1 and m∠8 are alternate exterior angles

If m∠1 = 98° and m∠8 = 82°

∴ m∠1 ≠ m∠8 and l₁ ∦ l₈

FALSE

6. Given that l₁║ l₂, then the angle formed between l₁ and l₃ will be equal to th angle formed between l₂ and l₃

Therefore;

If l₁║ l₂, and l₃ ⊥ l₁, then l₃ ⊥ l₂

(If l₁║ l₂, and l₃ is perpendicular to l₁, then l₃ is also perpendicular to l₂)

TRUE

You might be interested in
Find the value of x round to the nearest tenth
Leto [7]

Answer:

58.6

Step-by-step explanation:

Use the formula c=\sqrt{a^{2}+b^{2}

solving for x (b)

b=\sqrt{c^{2}-a^{2} = \sqrt{61^{2}-17^{2} ≈58.58327

and 58.58327 rounds to 58.6

4 0
3 years ago
The weight of eggs from a local farm are Normally
SVEN [57.7K]

Answer:

65.5

Step-by-step explanation:

I just took the assignment on edge. Good luck

5 0
3 years ago
Statistical Question
nadezda [96]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
This is my last question
mariarad [96]

Answer: B

Step-by-step explanation:because my teacher said she having trouble

5 0
3 years ago
The price of a gallon of unleaded gas was $2.80 yesterday. Today, the price rose to $2.87 . Find the percentage increase. Round
marin [14]
Earlier price is 2.80
Current price is 2.87

Increment is 
2.87 - 2.80
0.07

Increment percentage is
(0.07 / 2.80) * 100
2.5 %
4 0
3 years ago
Other questions:
  • Which of the following numbers are rational 25/9, -25, 0.333...,
    12·2 answers
  • What are the solutions of the system?
    14·1 answer
  • 6 • 10^2 is how many times as 3• 10^3
    15·1 answer
  • What is the solution to the system?
    6·1 answer
  • Let f(x) = 2x2 and g(x) = x2-1. Then f(g(2)) =
    9·1 answer
  • Please help me. I will fail...I will mark you brainiest.
    6·1 answer
  • Confused and need help please, step by step and exact location would be helpful
    14·1 answer
  • Plz help me!!!!!!!!!!!
    11·2 answers
  • How can you solve A Problem Like this ? ​
    12·2 answers
  • How do I do this word problem?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!