John writes the proof below to show that the sum of the angles in a triangle is equal to 180 degrees

Which would John NOT need to use in his proof?

A.The sum of the angles on ore side of a straight line is 180

B. If a statement about a is true and a = b statement formed by replacing a with b is also true.

C.When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

D. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent

John Writes The Proof Below To Show That The Sum Of The Angles In A Triangle Is Equal To 180 DegreesWhich

Answers

Answer 1

Answer: A

Step-by-step explanation:

Answer 2

The proof that is not needed John's proof is When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent

The following proof are needed.

When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. This is why  ∠4≅∠1  and ∠5≅∠3.

The sum of the angles on one side of a straight line is 180. That is why m∠4 + m∠2 + m∠5 = 180°

If a statement about a is true and a = b statement formed by replacing a with b is also true.

m∠4 + m∠2 + m∠5 = 180° (sum of angles on  a straight line)

∠4≅∠1  and ∠5≅∠3 (alternate interior angles)

Therefore,

∠1  can replace ∠4 and ∠3 can replace ∠5

m∠1 + m∠2 + m∠3 = 180°

Therefore, When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent is not needed.

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Related Questions

each marble bag sold by Lisas marbles company contains three red marbles for every four orange marbles if a bag has 24 red marbles how many orange marbles does it contain

Answers

Answer:

32 orange marbles.

Step-by-step explanation:

First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.

This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.

You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,

and 8 × 4 = 32.

It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.

So:

3/4 = 24/O

Red marbles / orange marbles = red marbles / orange marbles.

(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).

3O = 96

÷3 ÷3

O [orange marbles] = 32

Please help me! I’ll mark you brainiest

Answers

Answer:

c

Step-by-step explanation:

It is given that the line AB is Perpendicular Bisector of IK. It means the line AB is perpendicular on IK and the point J divides the line IK in two equal parts.

If a line is bisector of another line, then the point of intersection divides the second line is two equal parts.

Therefore the distance between intersection point and the endpoints of the second line are the same.

The intersection point is J and the end points of IK are I and K. So, we can say that IJ = JK.

Cerell’s Clothing

Color

Percent

Red

10%

Yellow

20%

Blue

50%

Orange

20%

Cerell recorded the percent of her clothing that is Red, Yellow, Blue, or Orange. The results are shown in the table. If Cerell has 145 pieces of clothing, how many pieces of Yellow clothing does she own?

Answers

Answer:

One. first what you want to do you want to convert 20% into a decimal and a way to do that you need to move a decimal two times to the left. when finding the percent of something you will always move the decimal two times to left

now that you have your 20% into a decimal you will multiply 145 by .20

after you have multiply 245 by .20 you should have gotten 29.00

Answer: She has 29 pieces of yellow clothing

Sorry if this doesn't help, have a great day/night, hope it helps, and stay safe!

david drove 150 miles and used 8 gallons of gasoline. Rebecca drove 100 miles and used 6 gallons of gasoline.David said they used gasoline at the same rate.is he correct ?

Answers

NO HE IS NOT CORRECT

Which of the following is equivalent to 3x-4y=24

Answers

what are the options lol

Plz answer this question :) Math​

Answers

Answer:

B. What is the area of regular polygon

Please help me answer this

Answers

Answer:

the answer is a=6π ~~~~~~~~~~~~~~~~

50 POINTS! + BRAINLIEST! ANSWER ASAP

Answers

C it is 1,-6 jjjjjjjjj
(1,-6) is the answer to this question

Find the slope of the line perpendicular for (-3,-2) and (3, 1)

Answers

Answer: m = 1/2

Step-by-step explanation:

Use the slope formula to find the slope m

∆XWZ≈∆______ by ________
triangle ZYX by HL
triangle ZYX by ASA
Not possible
triangle XYZ by HL

Answers

I think triangle ZYX by asa

PLEASE HELP
Which correlation coefficient best matches the data plotted on the graph?
A. -0.32
B. 0.45
C. 0.90
D. -0.95

Answers

Answer:

c

Step-by-step explanation:

If varies directly with and is 20/3 when = 8, which equation describes this relationship?

Answers

Y=5/6x is the answer because it is the same decimal as 20/3 divided by 8

how many different integers represent the sum of two or more members of the set {-4, -3, -2, -1, 0, 1, 2, 3, 4}?

Answers

Answer:

3

Step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

21 different integers represent the sum of two or more members of the set {-4, -3, -2, -1, 0, 1, 2, 3, 4}

What is Number system?

A number system is defined as a system of writing to express numbers.

First you need to find the extremes. What is the largest negative value, and what is the largest positive value?

1+2+3+4 =10 so the largest positive value is 10. Therefore the largest negative value must be -10.

Next, we need to determine which integers from 5 to 10 can be covered.

1+4=5

2+4=6

3+4=7

3+4+1=8

2+3+4=9

And 1 to 4 can all be achieved by adding that value and 0.

0=-1+1

So, all the integers from -10 to 10 represent the sums of two or more numbers from the set.

10 positive + 10 negative + 0 = 21 integers.

Hence, 21 different integers represent the sum of two or more members of the set {-4, -3, -2, -1, 0, 1, 2, 3, 4}

To learn more on Number system click:

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I needddddddd helppppppp.

Answers

Answer:

71

Step-by-step explanation:

71

Identify the intercepts of the line. 3x+2y=12

Answers

The x-intercept is (4,0) and the y-intercept is (0,-6)

Answer:

The x-intercept is  ( 4 , 0 ) .

The y-intercept is  ( 0, 6 ) .

Step-by-step explanation:

his is the formula for a linear equation in standard form. This is the easiest equation for finding the intercepts. To find the x- and y-intercepts, substitute  0  for one variable, and solve for the other.

X-intercept: value of  x  when  y = 0

Substitute  0  for  y  and solve for  x .  

3 x + 2 ( 0 ) = 12  

3 x = 12  

Divide both sides by  3 .

x = 12 /3

x = 4  

The x-intercept is  ( 4, 0 ) .

Y-intercept: value of  y  when  x= 0

Substitute  0  for  x  and solve for  y .

( 0 ) + 2 y = 12

2 y= 12

Divide both sides by  2 .

y = 12 /2  

y = 6

The y-intercept is  ( 0 , 6 ) .

These are the intercepts.

1. match the graph to the table of values

Answers

Answer:

In order (Problem 1-4)

B

C

A

D

Step-by-step explanation:

These will give you 100%! Wish I had these before I took the quick check.

Answer:

The answer is b

Step-by-step explanation:

The whole test is

B

C

A

D

C

find the measurement for angle A

Answers

Answer: that is a 45 degree angle

Step-by-step explanation: 90 / 2 is 45

Answer:

∠ A = 44°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

x + 59 + x + 51 + 84 = 180, simplify

2x + 194 = 180 ( subtract 194 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

Thus

∠ A = x + 51 = - 7 + 51 = 44°

please help i’ll give brainliest

Answers

Answer:

[tex]45mm^{2}[/tex]

Step-by-step explanation:

3cm x 1.5cm

3 x 1.5 = ?

3 x 1.5 = 4.5

4.5cm = ?mm

4.5cm= 45 mm

[tex]45mm^{2}[/tex]

Hope this helps!

Arnold invests some money into an account that makes 4% simple interest. After 1 year, he has $2600. How much money did he invest?

Answers

Arnold invested 650 of his money after 1year

Please help will give brainless and extra points

Answers

Answer:

1. 52

2. 65

3. 68

Step-by-step explanation:

Answer:

1. 52

2. 75

3.

Step-by-step explanation:

PEMDAS! I love PEMDAS problems!

1. (63 - 3) / 6 + 42

(P means parenthesis first - after you do this step the parenthesis goes away)

60 / 6 + 42

(We have no exponets so we move on to doing division and multiplication from left to right)

10 + 42

(Now we add!)

52

2. (8*4+5^2) + 8

(Now we have to do PEMDAS inside the parenthesis - So we have to do exponents first)

(8*4 + 25) + 8

(Now you do multiplication from left to right)

(32 + 25) +8

(Now that we only have one sign in our parenthesis we can solve it to get rid of it.)

67 + 8

(now add!)

75

3. (13 + 5)^2 + 8 / 2

(We have to do parenthesis first because of the P)

18^2 + 8/2

(now we do exponents)

324 + 8 / 2

(Now we divide and multiply from left to right)

324 + 4

(now add!)

328

What is the greatest common factor of the terms in the expression 36 a + 54 a b minus 27 b? 9 9ab 18 18a

Answers

Step-by-step explanation:

18a is the greatest common factor

Answer:

uhm the last gurl was wrong pretty sure its 9 plain

Step-by-step explanation:

a diving board is 2.8 meters above the surface water of the pool. the bottom of the pool is 3.4 meters below the surface of the water. which expression can be used to find the distance from the diving board to the bottom of the pool in meters

(2.8) - (-3.4)
(-3.4 - (2.8)
(2.8 - 3.4)
(-3.4 - 2.8)

Answers

Answer:The answer is b because c and D dong make since. An A is wrong

Step-by-step explanation:

Work out the mean for the data set below:
67005, 67004, 67006, 67006, 67005, 67005, 67004, 67005

Answers

Answer:

[tex]59467[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Statistics

Mean: [tex]\frac{total}{amount}[/tex]

Step-by-step explanation:

Step 1: Define

Total:   67005 + 67004 + 67006 + 67006 + 67005 + 67005 + 67004 + 67005

Amount:   8 numbers

Step 2: Find mean

Substitute:                    [tex]\frac{67005 + 67004 + 67006 + 67006 + 67005 + 67005 + 67004 + 67005}{8}[/tex]Add:                              [tex]\frac{475736}{8}[/tex]Divide:                          [tex]59467[/tex]

And we have our final answer!

solve 2x-y > 1 for y

Answers

Answer:

y<2x−1

Step-by-step explanation:

1 Subtract 2x2x from both sides.

-y>1-2x−y>1−2x

2 Multiply both sides by -1−1.

y<-1+2xy<−1+2x

3 Regroup terms.

y<2x-1y<2x−1

Plssss hlppppppppo I have to submit today. I will give you brainliest point.

Answers

Answer: I only know the angles I am so sorry but for the questions with angles is 4. 90 degrees   5. 60 degrees   6. 60 degrees        

Step-by-step explanation:

Which is the best estimate of?
square root 35

Answers

3.27 tell me if you got it right

A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight? Do not include the percent sign (%) in your answer.

Answers

Given:

Capacity of jet plane = 200,000 liters of fuel

Fuel used during flight = 130,000 liters

To find:

The percentage of the fuel capacity it uses on this flight.

Solution:

According to the question, we need to find 130,000 is what percent of 200,000.

[tex]\text{Required percentage}=\dfrac{\text{Fuel used during flight}}{\text{Capacity of jet plane}}\times 100[/tex]

[tex]\text{Required percentage}=\dfrac{130000}{200000}\times 100[/tex]

[tex]\text{Required percentage}=65[/tex]

Therefore, the jet plane uses 65 percent of fuel capacity during flight.

These two lines are
Graphs of non-proportional relationship makes makes them nonproportional

Answers

9514 1404 393

Answer:

  C  They do not go through the origin

Step-by-step explanation:

The graph of a proportional relationship is a straight line with a y-intercept of 0. These lines do not go through the origin, so do not describe a proportional relationship.

Find the rate of change from the given table.

Answers

the rate of change would be D. 4

3 raised to power minus 2

Answers

Answer:

Step-by-step explanation:

3^-2= 1/9

Normally 3^2 is 9 but since the power is a negative, you but the 9 as the bottom or denominator of a fraction.

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