Mathematics High School

What is the missing reason for the 3rd step in the proof below?
A. If two lines are parallel, then alternate interior angles are congruent
B. Corresponding angles theorem
C. Vertical angles are congruent
D. If two lines are parallel, then alternate exterior angles are congruent

What Is The Missing Reason For The 3rd Step In The Proof Below?A. If Two Lines Are Parallel, Then Alternate

Answers

Answer 1

Answer:

The missing reason for the 3rd step in the proof below is;

C. Vertical angles are congruent

Step-by-step explanation:

In the two column proof, we have;

Statement   [tex]{}[/tex]            Reason

1. AB ║ CD   [tex]{}[/tex]           1. Given

2. ∠3 ≅ ∠7   [tex]{}[/tex]           2. Corresponding angles theorem

3. ∠7 ≅ ∠6   [tex]{}[/tex]           3. Vertical angles are congruent

4. m∠3 = m∠7   [tex]{}[/tex]      4. Definition of congruence    

m∠7 = m∠6

5. m∠3 = m∠6    [tex]{}[/tex]      5. Substitution

6. m∠3 ≅ m∠6    [tex]{}[/tex]     6. Definition of congruence

Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other

Other vertical angles in the diagram are;

1) ∠5 and ∠8

2) ∠1 and ∠4

3) ∠2 and ∠3

Related Questions

stats. can someone help?

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Answer:

you should try picto math it very helpful!

Step-by-step explanation:

Solve by graphing

|1x - 1| = |2x - 5|

Answers

Answer:

x=4 or x=2

Step-by-step explanation:

2 school bags cost $ 276 . Find the cost of 88 school bags

Answers

Answer:12144

Step-by-step explanation:

Answer : FROM THE TOP, MAKE IT DROP THAT'S A WET!!! THAT'S A WET #WAP!!!

a square tablecloth is 160cm along each side. it hangs over the table edge 30cm on each side.
a) what is the area of the tablecloth?
b) what is the area of the table?

Answers

a) of those are the only 2 answers you can choose from

For what value of q is the equation -13(q + 4) = 7q + 16

Answers

Answer:

Q = -3.4

Step-by-step explanation:

Our original equation is:       -13(q+4)=7q+16

if we simplify this, we get:     -13q-52=7q+16

Subtract 16 from both sides: -13q-68=7q

Add 13q to both sides to get:      -68=20q

divide the equation to get this:  -3.4=q

Subtract: (b^2 + 9 ab + 5a ) - ( 3b^2 -25ab + 1)

Answers

Answer:

- 2b^2 + 34ab + 5a - 1

Step-by-step explanation:

here's your solution

=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)

=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1

=> - 2b^2 + 34ab + 5a - 1

hope it helps

What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10

Answers

The simplified version is -8x+10

a square has a side length of (x-7) a what is the area?

Answers

Answer:

4x+28

Step-by-step explanation:

What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm

Answers

We dont know this
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm

Answer:

12

Step-by-step explanation:

-6n-2n=16


This isn't urgent

Answers

I’m pretty sure n = -2

Answer:

n = -2

Step-by-step explanation:

[tex] - 6n - 2n = 16[/tex]

➡️ [tex]( - 6 - 2)n = - 8n[/tex]

➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]

➡️ [tex]n = 16 \div ( - 8)[/tex]

➡️ [tex]n = - 16 \div 8[/tex]

➡️ [tex]n = - 2[/tex]

Hey help a tom outtttttttttttttttttttttt

Answers

Answer: 3X2+4x=-2

Step-by-step explanation:because thats the mathematic equation for a average square

Factor the expression using the GCF. 58+28=

Answers

Answer:

2(29+14)

Step-by-step explanation:

Given function:

To find the GCF of 58+28..

Find the GCF of 58+28:

[tex]58=29[/tex]·[tex]2[/tex] [tex]28=14[/tex]·[tex]2[/tex]

Rewrite:

[tex]2(29+14)[/tex]

Therefore, using GCF, the new expression would be 2(29+14)..

The expression 58 + 28 can be factorized as 2 (29 + 14).

What is GCF?

GCF which is the abbreviated form for Greatest Common Factor of two numbers, as the name implies, is the greatest common factor of both the numbers.

GCF of two numbers can be found using prime factorization.

Given the expression 58 + 28.

To find the GCF of two numbers, list the prime factors of these two numbers.

58 = 2 × 29

28 = 2 × 14 = 2 × 2 × 7

The only common factor is 2.

So the greatest common factor is 2.

58 + 28 = (2 × 29) + (2 × 14)

Taking the common factor of 2 outside the brackets,

58 + 28 = 2 (29 + 14)

Hence the expression 58 + 28 can be factorized as 2 (29 + 14) using the greatest common factor.

To learn more about GCF, click on the link given :

https://brainly.com/question/11444998

#SPJ2

What is the size of ABC?

Answers

Add them up and you have your answer

Type your response in the box.
Identify the purpose of the video and note the similarities between it and Twain's essay "Taming the Bicycle."

Answers

Answer:

i need the text.

Step-by-step explanation:

The video’s purpose is to instruct the viewer on the steps involved in learning how to ride a bicycle. The video has a few similarities to Twain’s essay. Both describe the process of learning how to ride a bike in a humorous way.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Just multiply

Step-by-step explanation:

I need a lot of help please answer right !

Answers

Answer:

$16

Step-by-step explanation:

Answer:

Estimate: $16

Exact amount: $15.98

Step-by-step explanation:

To find the estimate amount of money she has left, we will add everything up and subtract it from $45.12.

$7.89 + $21.25 = $29.14

$45.12 - $29.14 = 15.98

Now lets round your answer to $16.  Therefore, the estimated amount that she has left is $16.   And based on the calculations above, we can see that the exact amount of money she has left is $15.98.

Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?

Answers

Answer:

She will be paid $684

A package of 4 pair of insulated socks cost $32.76. What is the unit price of the pair of socks

Answers

8.19$ sorry if I got it wrong

Answer:

The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)

BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!

Answers

shouldn’t it be the figures are similar? theyre the same size, along with the same measure of angles.

Step-by-step explanation:

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.

A is incorrect because the size of the shape doesn't change when getting reflected.

B and D is incorrect because just by looking at the shape D is not equal to A' or B'

Hope this helps!!

convert 5000 mm = ____ cm​

Answers

Answer:

it's 500 cm

HOPE THIS HELPS

Step-by-step explanation:

Answer:

500 cm

Step-by-step explanation:

i did the math

HELP ME PLASE IM BEGGING YOU

Answers

Answer:

5x+4

Step-by-step explanation:

(7x+1)-(2x-3)

Remove parentheses

=7x+1-(2x-3)

=7x+1-2x+3

Simplify

7x+1-2x+3=5x+4

Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?

Answers

Step-by-step explanation:

5 360

8 x

5x=360•8

x=576miles

Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?

Answers

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

Can u pls help me with this question

Answers

Answer:

20.5 ounces

Step-by-step explanation:

11.5+2.25s=?

11.5+2.25(4)=

Look at the picture and thanks

Answers

B is the correct answer

A pollster surveys 80 people to determine whether they will vote for Seth Gleason for mayor. 42 out of 80 say yes. What is the experimental probability that the next person surveyed will say he or she plans to vote for Seth Gleason?

Answers

Answer:

42 out of 80

Step-by-step explanation:

Given function:

surveys 80 people42 votedto find the experimental probability that the next person surveyed say yes or no..

Thinks:

42 out of 80 means 42:80 in ratio formif 42:80  that they’ll vote for Seth Gleason then this means that the next person have 42:80 chance to vote for Seth Gleaso...

Forms:

0.525 42/80.. simplify form=21/40. 52.5%

Therefore, the percentage the next person would vote for Seth Gleason is a percentage of 52.5% and also have a ratio of 42:80.

Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing temperature by 7 degrees Celsius. What is the freezing temperature of the gallon of salt water?

Answers

Answer:

-7°C

Step-by-step explanation:

Freezing point of water = 0°C

By adding salt, freezing point lowers by 7°C ;

The freezing point of salt water can be expressed as ;

Since temperature lowers :

Freezing point of salt water :

Freezing point of water - 7°C

0°C - 7°C

= - 7°C

-4(5k - 7) + 2k = -2(9k + 5)

Answers

1. -20k+28+2k=-18k-10
2. -18k+28=-18k-10
3. 28=-10
No solution
-20k+28+2k=-18k-10
-18k+28=-18k-10
28=-10
No solution

please help I dont understand ​

Answers

The slope is 3, count from one point to o other. If you go from -2,0 up to -1,3 you go up 3 and over one so the slope is 3

Answer:

Step-by-step explanation:

Remark

All you need is 2 points that you can rely on as being accurate.

(2,0) should certainly be one of them. I would pick (-1,3) as the other but it is less certain.

Givens

y2 =3

y1 = 0

x2 = -1

x1 = - 2

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (3 - 0) / (-1 - - 2)

m = (3 )/ (-1 + 2)

m = 3/1

m = 3

Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $4,720

Answers

Answer:

13

Step-by-step explanation:

​  

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