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
pishuonlain [190]
2 years ago
12

Given: l || m; ∠1 ∠3

Mathematics
1 answer:
Katarina [22]2 years ago
3 0

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

  • It is given
  • ∠2 ≅ ∠3
  • converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

You might be interested in
What is the justification for each step taken from line 2 to line 3?
matrenka [14]
2x was subtracted from both sides.

A. Subtraction Property of Equality
7 0
3 years ago
Read 2 more answers
I need help in math!!!
PIT_PIT [208]

Answer:

This angle is acute, so it cant be C or D.

Step-by-step explanation:

Imma go with A.

3 0
3 years ago
In Ryan Corporation, the first shift produced 5 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produc
Andru [333]

Answer:

13750

Step-by-step explanation:

Let 'x' be the number of bulbs produced in second shift

Number of bulbs produced in 1st shift= 5.5x

Total number of bulbs= 5.5x+x

16250=5.5x+x

x=2500

Number of bulbs produced in shift 1= 5.5×2500

                                                            = 13750

7 0
2 years ago
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
X =<br><br> a.) 100<br> b.) 120<br> c.) 140<br><br> I would appreciate that
34kurt
Hmmm if the question is about the triangle and the "top" angle, the answer will be c= 140.
5 0
3 years ago
Other questions:
  • 2x=3y-1
    7·1 answer
  • Please help me with this
    14·2 answers
  • Simultaneous equation<br><br> 3x+y=16<br><br> What's the answer?
    5·1 answer
  • Question 14(Multiple Choice Worth 4 points)
    11·1 answer
  • The formula for figuring a student's average test score a is a= p/t, where p is the total points earned on all the tests and t i
    6·1 answer
  • The original price of a scarf was $16. During a store closing sale, a shopper saved $12 on the scarf. What percentage discount d
    14·1 answer
  • How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9?
    12·1 answer
  • Please help me 25 pts.
    15·2 answers
  • I NEED HELP URGENT! WILL GIVE BRAINLIEST
    8·1 answer
  • If they bake only cakes, then in a single day George can bake 10 cakes while Greta can bake 5 cakes. If they only make pies, the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!