Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answers

Answer 1

Answer:

The correct option is;

Corresponding angles theorem

Step-by-step explanation:

Type of lines of lines a and b = Horizontal and parallel lines

The transversal to a and b = Line c

The angles between a and c labelled clockwise from the upper left quarter segment =  1, 2, 4 and 3

The angles between b and c labelled clockwise from the upper left segment =  5, 6, 8 and 7

Therefore, we have;

Statement   [tex]{}[/tex]                                                   Reason

1. a║b, c is a transversal   [tex]{}[/tex]                             Given

2. ∠6 ≅ ∠2       [tex]{}[/tex]                                              Corresponding angles theorem

3. m∠6 = m∠2       [tex]{}[/tex]                                         Definition of congruent

4. ∠6 is supp. to ∠8        [tex]{}[/tex]                               Definition of linear pair

5. ∠2 is supp. to ∠8        [tex]{}[/tex]                               Congruent supplement theorem

Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.                        


Related Questions

The side length of a cube can be represented by the expression 2x⁵. If the sifr length is doubled, write an expression to represent the new volume of the cube.​

Answers

Answer:

64x⁸

Step-by-step explanation:

Given l=2x⁵

When side length is doubled,

It becomes 4x⁵

Now volume of cube is a³

New volume=(4x⁵)³

                     =64x⁵⁺³

                     =64x⁸

HELP ASAP PLEASE . CONVERT TO STANDARD NOTATION

Answers

Answer:

0.000425 and 62570000000.

Step-by-step explanation:

Answer:

1) 425000

2) 62.570000

Step-by-step explanation:

There are 5 under the 10.

1) 10 x 10 x 10 x 10 x 10 = 100000

100000 x 4.25 = 45000

2) There are 7 under the 10.

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

10000000 x 6.257 = 62.570000.

If you don't understand, count the "0's" and times then by 1 and 0's.

I have 120 blocks. Each block is one of 2 different materials, 3 different colors, 4 different sizes and 5 different shapes. No two blocks have exactly the same all four properties. I take two blocks at random. What is the probability that these two blocks have exactly two of these four properties the same?

Answers

Answer: 0.54

Step-by-step explanatio;

We would have three in common out of 4 characteristics (4 out of 4 is not possible). There are 4 possible ways to share 3 out of 4 characteristics.

Denoting the characteristics as {M,C,Si,Sh} so P(B2={1,1,1,0}|B1={1,1,1,0}) is the probability that box 2 shares its first three characteristics with box 1 given that box one has characteristics

We now have

P(B2 has 3 elements in common with B1)=P(B2={1,1,1,0}|B1={1,1,1,0})xP(B1={1,1,1,0})+P(B2={1,1,0,1}|B1={1,1,0,1})xP(B1={1,1,0,1})+P(B2={1,0,1,1}|B1={1,0,1,1})xP(B1={1,0,1,1})+P(B2={0,1,1,1}|B1={0,1,1,1})xP(B1={0,1,1,1})

P(B2 has 3 elements in common with B1)=(4x5x24+3x4x30+2x3x40+1x2x60)1120x119= 0.084

which is close enough to the value from the simulation code (modified to count the number of 3-ties)

Now, I use the same reasoning to compute:

P(B2 has 2 or more elements in common with B1)=(19x20x6+11x12x10+9x10x12+14x15x8+7x8x15+5x6x20)1120x119= 0.54

Equation: (2-1)((3-1)+(4-1)+(5-1)) + (2)((3)+(4)) + (12) = 35 with a total of 119 possibilities.

answer: 35/119

A clothing store uses a markup of 40% on all items they purchase to sell, find the markup is the original cost was 10.2
Please help I’m desperate

Answers

Answer:

$14.28

Step-by-step explanation:

you have to find 40% of 10.20 which is 4.08. Then you add that to 10.20 and you get 14.28.     (please give brainliest)

Answer:

4.08

Step-by-step explanation:

wels at its next

3. The Henderson Hawks minor-league baseball team is giving away baseballs an

game. The balls cost $3 each and the towels cost $2 each. The team wants to give away

200 items and nave 5000 to spend. How many of each item should the team give away Show your

work or explain your reasoning.

Answers

This question is not correctly written

Complete Question

The Henderson Hawks minor-league baseball team is giving away baseballs an

game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your

work or explain your reasoning.

Answer:

They should give away 100 balls and 100 towels

Step-by-step explanation:

Let the number of balls = x

Let the number of towels = y

x + y = 200........ Equation 1

y = 200 - x

$3 × x + $2 × y = $5000

3x + 2y = 5000...... Equation 2

3x + 2(200 - x)= 5000

3x + 400 - 2x = 5000

Collect like terms

3x - 2x = 500 - 400

x = 100

Number of balls to be given away = 100

Note:

y = 200 - x

y = 200 - 100

y = 100

Number of towels to be given away = 100

Therefore, they should give away 100 balls and 100 towels

long division how 2 do it

Answers

Answer:

1.Divide the tens column dividend by the divisor.

2.Multiply the divisor by the quotient in the tens place column.

3.Subtract the product from the divisor.

4.Bring down the dividend in the ones column and repeat.

Step-by-step explanation:

Google

hope it helps

Please mark Brainliest

Using the greatest common factor, reduce the fraction 15/20

Answers

Answer:

using the formula the answer is 3/4

Four pounds of almonds cost $30, 7 pounds of almonds cost $52.50, and 12 pounds of almonds cost $90. Which equation gives the total cost y of x pounds of almonds?

Answers

Answer:

y=7.5x

Step-by-step explanation:

The awnser is: y=7.5x

Dennis brought 5 cans of slime for $23.50.what was the unit rate per can?

Answers

Answer:

$4.70

Step-by-step explanation:

23.50/5=4.7

$4.70 per can of slime

A washer and dryer cost $748 combined, the washer costs $93 more than the dryer. What is the cost of the dryer?

Answers

The dryer cost $327.50 and the washer cost $420.50 since the total is $748 first subtract $93 from 748 then the answer is $655 then divide by 2 which is equal to $327.50

How do I find the missing sides to this special triangle?

Answers

that equals to 90 so find the number that is missing

Answer:

willywonka

Step-by-step explanation:

chile i don't even know

Answer for moneyy. will also give brainliest

Answers

Answer:

1 and 3- vertical angles

5 and 8- linear pair

2 and 6- corresponding angles

Step-by-step explanation:

2 cm X 2.4 X ? = 10.08cm

Answers

Answer:

2 × 2.4 = 4.8

10.8÷ 4.8 = 2.1cm

Solve the equation x32 +10 =118
1. x =36
2. x = 6
3. x = 108
4. x = -3128

Answers

Answer:

none are correct. The correct answer is x= 3 3/8

Step-by-step explanation:

what is the slope of (-3,2) (-5,-2)
what is the slope of (7,1) (1,-7)​

Answers

Answer:

The slope of the points (-3,2) (-5,-2) is 2

The slope of the points (7,1) (1,-7)​ is 4/3

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the points given and find the slopes:

(y2 - y1) / (x2 - x1)

(-2 - 2) / (-5 + 3)

-4/-2

= 2

Find the next slope:

(y2 - y1) / (x2 - x1)

(-7 - 1) / (1 - 7)

-8/-6

= 4/3

The slope of the points (-3,2) (-5,-2) is 2

The slope of the points (7,1) (1,-7)​ is 4/3

The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap d so that the rails just touch one another when the temperature is increased from T1=-20F to T2=90F. Using this gap, what would be the axial force in the rails if the temperature rises to T3=110F? The cross-sectional area of each rail is 5.10 in2

Answers

Answer:

um hola

Step-by-step explanation:

Which of the following rules represent the function graphted
F(x)=1/2x
F(x)=x
F(X) = x + 2

Answers

Answer: F(x) = x

Step-by-step explanation:

y = mx + b is the base equation

m = the slope slope equals the increase of y over x

b = the y intercept

y = 1/1 x + 0

so y = x

or f(x) = x

F(x) = x

Have a nice day

BRAINLIST! I WILL GIVE BRAINLIST!!!

Each of the following tables defines a relationship between an input x and an output y. Which of the following relationships do NOT represent functions?

Answers

Table C
Explanation: one x value goes to two y values

Enter the missing values in the area model to find 8(8k + 9)

Answers

8(8k+9) = 64k+72 , hope this helped :)

The area of a rectangular model is 64k²+72.

Given that, the length of a rectangle = 8k+9 units and the width of a rectangle = 8 units.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Now area of a model is

(8k+9)×8

= 8×8k+8×9

= 64k²+72

Therefore, the area of a rectangular model is 64k²+72.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

Solve 2х + 4 > 16.
А. x> 6
В. x<10
C. x> 10
D. х< 6

Answers

Answer:

The answer is x > 6.

Reasoning:

2x + 4 > 16You have to subtract 4 from both sides:

2x + 4 > 16

-4 > -4

2x > 12

16 subtract from 4 is 12. You then divide the 12 by the 2.

2x > 12

2 2

x > 6

You then get the result of x > 6.

Convert 890 / 110 into a mixed number

Answers

Answer:

8 and 1/11.

Step-by-step explanation:

Answer:

8 1/11

Step-by-step explanation:

Hope this helps!!

Just in case :

(8 and 1/11)

The answer is = 5/2 x 15/2

Answers

Answer:

I think the answer is 5/2 x 15/2.

Answer:

75/4

But as a mixed Number: 18 3/4

Let me know if I'm wrong.

Please make brainliest.

Two television stations are running the same advertisement. One television stations runs the advertisement eveey 24 minutes and the other television station runs the advertisement every 18 minutes. Both stations have the advertisement on right now. How many minutes until both stations will have the advertisement on again at the same time?

Answers

Answer:

72 minutes

Step-by-step explanation:

Given that:

Advert runs on :

Station 1 : every 24 minutes

Station 2 : every 18 minutes

Both have the advert running presently ; How many minutes until both stations will have the advertisement on again at the same time?

To obtain the time the advert will run again at the same time on both stations, we find the Lowest common factor of 24 and 18

_2__24 ____18

_2__12_____9

_2__6_____ 9

_3__3 _____9

_3__1_____ 3

____1_____1

2 * 2 * 2 * 3 * 3 = 72

After 72 minutes

kakarot to me
aAA pfpfv

Answers

Answer:

yes

Step-by-step explanation:

I need help:)
Please help me

Answers

Answer:

No to both.

Step-by-step explanation:

11(2x + 1) = 4x - 7
show work

Answers

Answer:

0.22

Step-by-step explanation:

22x + 11 = 4x - 7

22x - 4x = -7 + 11

18x = 4

x = 4/18

x = 0.22

Please mark as brainliest.

-1

Explanation

22x + 11= 4x - 7
22x= 4x - 18
18x = -18
X = -1

Hopefully this is right. Let me know and I’ll delete it

f-1(x) = (3х – 5)2 + 12

Answers

Answer:

i think its 3 if im not mistaken

Step-by-step explanation:

HELP ME FOR A BRAINLIEST PLEASE !!

Answers

Answer:

2x-3

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

Parallel lines must have the same slope, in the given equation, the slope is 2, so the slope for the parallel line must also be 2, so that eliminates answer choices B and D.

Now to choose between answer choices A or C, you can just plot the given point (-3, -3) into each equation and see which one fits. Answer A seems to be the correct answer.

Hope this helps!

Divide. Do not round your answer.


38.43
÷
7
=

Answers

Answer:

5.49

Mental or simplified math may be used to solve such equation.

One year Terry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.85 . ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the​ males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the​ females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective​ z-scores. Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Answers

Answer:

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his​ school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

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