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
nadya68 [22]
3 years ago
15

Complete the missing parts of the paragraph proof.

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answers:

1) Given

2) angle 2 ** see note below

3) angle 3 ** see note below

4) converse of alternate exterior angle theorem

note: you can swap the answers for 2 and 3 and it doesn't matter

========================================================

Explanations:

1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.

2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)

4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).

You might be interested in
Of new calculators tested,8 were defective and 42 passed inspection. What ratio compares the number of defective calculators to
sesenic [268]
The number of new calculators tested was 50 . . . 8 were bad and 42 were good.

The ratio of defective ones to new ones tested is 8:50 or 4:25 or 16% .
4 0
3 years ago
Read 2 more answers
Simplify<br>5/2y-1 - 6/3y-1​
Kipish [7]

Answer:

Step-by-step explanation:

First Group like terms:

5/2y-6/3y-1-1

Add similar elements:5/2y-6/3y=1/2y

1/2y-1-1

1/2y=y/2

=y/2-1-1

=y/2-2

6 0
2 years ago
How many solutions does the equation below have? 1/(-6-8x) = -3- 1x​
uranmaximum [27]

Answer:

This equation has 2 solutions.

1. x=\frac{-15+\sqrt{89}}{8}

2. x=-\frac{15+\sqrt{89}}{8}

5 0
1 year ago
Which expression represents the phrase "three times the sum of a number and 4"?
Alexxandr [17]

The answer is D. 3(x+4)

3 0
3 years ago
B) Here are the first four terms of a quadratic sequence.
Nookie1986 [14]

Find answer is the given attachment

5 0
2 years ago
Other questions:
  • Need help asap
    8·1 answer
  • 2. A guy wire for a tree is 20 ft. long, making a 21o angle with the ground. How far is the base of the tree from a stake anchor
    9·1 answer
  • What is the percentage of 7 out 251
    7·2 answers
  • In the circle above, the length of AO is 1, and x = 88º. What is the area of sector AOB?
    10·2 answers
  • Which expression is equivalent to -2 - 7 <br><br> -2 - (-7) <br> 2 - 7 <br> -2 + (-7) <br> 2+7
    10·2 answers
  • Will mark brainliest if right :)
    7·1 answer
  • What is 5 2/3 + 3 3/4
    9·2 answers
  • What is a quadratic function?
    9·1 answer
  • How do I solve for d in the following equation? c(ad)+x=bd+ad(yz)
    14·1 answer
  • Which graph represents the function f(x) = 1/x -1?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!