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

whats the rate of change?​

Answers

Every time x is added by one, y is added by three.

530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help

Answers

Answer:

6% of 530 is 31.8 hope this is what you ment

Which is a graph of a proportional relationship?
Which one?

Answers

Answer:

third graph (choice three/bottom left)

Step-by-step explanation:

Anything with a proportional relationship will always have a constant ratio (ratios will always be equivilent).

you can eliminate any graph that has an x or y intercept other than zero, or does not have a straight line.

The two main rules of a proportional graph or direct proportion is that:

the line must go through the origin (0,0)the graph must be linear

Answer:

the bottom left one

Step-by-step explanation:

it starts at the origin and as the x value increases, the y value increases too

you can easily rule out out the top two just because it doesn't start at the origin

How do I solve 2(6x +4) +7x by simplifying the expressions?

Answers

Answer:

19x+8

Step-by-step explanation:

First distribute 2 into the parenthesis which will equal 12x+8+7x

Than add like terms 12x+7x =  19x

Than youre left with 19x+8 and that is the answer :}

Answer:

19x+8

Step-by-step explanation:

You multiply everything in the parenthesis by 2 and then get rid of the parenthesis so then the equation will be 12x+8+7x. Then you add 12x and 7x together because you can't add together a normal number and a variable. Then the equation will be 19x+8. This is the final equation.

Y=-1/5x+12
What is the y-intercept?
What is the slope?

Answers

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

Wilma Workerette worked 43.5 hours last week. Her base pay is $9.00 per hour and she gets time-and-a-half for any hours beyond 40. Using Method 1:

Answers

Answer:

9$

Step-by-step explanation:

Hope this helps!

Answer= 9$

Good luck on ur assignment/test!‼️

what is 0.3% of 3.7%? round to the nearest hundredth

Answers

i got .000111 ... if right make me brainliest

what is 2 days to 12 hours in a ratio​

Answers

Answer:

1:4 ? not really sure entirely what this question is asking. more context pls ?

Step-by-step explanation:

Answer:

2 to 12?

Step-by-step explanation:

plz help me will mark brainlest 1 hour and two or more have to answer must get every one correctt and must answer all three

Answers

page one step two=. 5x=15
page one step three=. 5x/5=15/5
page one step four=. x=3


page two step one=. 6n+3-3=9-3
page two step two=. 6n=6
page two step three=. n=1


page three step one=. m/3+4-4=7-4
page three step two=. m/3=3
page three step three=. m/3*3=4*3
page three step four=. m=9

Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.

Answers

Answer:

$80 - $20 = $60 left.

Step-by-step explanation:

A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume

Answers

Answer:

44.53

Step-by-step explanation:

I'm smort

Identify the x and y intercepts 10x+4y=-20

Answers

Answer:

(-2,0) and (0,-5) on the graph for the interprets x and y.

Note: I need points lol, pls put thanks and vote your stars for me! Thx!

The required x and y-intercept of the given equation is x = -2 and y = -5.

Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,

First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2

Second for y-intercept x = 0
10(0) + 4y = -20
y = -5

Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.

learn more about function here:

brainly.com/question/21145944

#SPJ3

I will mark BRAINLIEST ​

Answers

Answer:

Im cochie man and give me points plz i need em im sorry :(

Step-by-step explanation:

The equation for line w is y = 2x – 3. Line d contains the point (4, -1) and is parallel to line w. Which equation
describes line d?

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

y = 2x - 3

Gradient of line w = 2

Gradient of line d = 2

i.e line w and d are parallel.

Equation of line d is:

y - (-1) = 2(x - 4)

y + 1 = 2x - 8

y = 2x - 7

Determine the slope

(4,12) and (6,20)

Answers

M=4 the slope to your equation is 4.

Answer:

4

Step-by-step explanation:

3x - 2y = 38
x = 6 - y


Choose a solving method to find the solution


(if possible provide explanation I do not understand this!)

Answers

hope this is correct and that it helps
plug 6-y in for x
3(6-y)-2y=38
distribute
18-3y-2y=38
combine like terms
18-5y=38
subtract and divide
y=-4

plug y in
x=6-(-4)
solve
x=10

y= -4
x=10

Can someone answer this plz im giving brainliest

Answers

Answer:

1, 3, 5, 7, 10 those are the answers to Y

Answer:

7: 1

21: 3

35: 5

49: 7

77: 11

What is the additive inverse of 9/10

Answers

Answer:

-9/10

Step-by-step explanation:

check answer:

number + additive inverse = 0

9/10 + -9/10 = 0

Estimate the value of 13 (between which two whole number)

Answers

Answer:

C

Step-by-step explanation:

between three and four

it would be probably 4

whats 20+1 :3 i hope you lie it!

Answers

Answer:

201

Step-by-step explanation:

dat is the answer or is it fish hmmmmm

jk it's 21 if you actually want the real answer

If f(x)=3x+12, find the value of x so that f(x)=36
with steps please!

Answers

Answer:

x = 8

Step-by-step explanation:

36 - 12 = 24

24/3 = 8

hurry i only got 15 min

Answers

1st option
-2 is -1 + -1
3= +1+1+1

Answer:

Its the A

first

Step-by-step explanation:

3 is positive ( + )

2 is Negative ( - )

29points!
Match the vocab word with the definition:
.1Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed
2.

An expression that consists of numbers, operations, and sometimes grouping symbol.
3.

The order in which operations must be computed when more than one operation is involve.
4.

A number representing how many times the base number should be multiplied by itself.
5.

A Symbol that represents a value that can change.
6.

A single number or variable, or numbers and variables multiplied together.
7.

The numerical factor in a term. A number being multiplied by a variable.
8.

A number on its own, it has a fixed value.
9.

A combination of variables, numbers, and operations.
10.

You replace, or substitute, all the variables with numbers and then simplify.
11.

A statement that the values of two math expressions are equal (indicated by the sign =).
12.

The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
13.

The symbol of a math operation.

plus, minus, times, divided by, equals
14.

An equation or inequality containing one or more variable
Open Sentence

Exponent (Power)

Numerical Expression

Operator

Term

Evaluate

Order of Operations

Grouping Symbol

Constant

Coefficient

Variable Expression

Equation

Inequality

Variable

Answers

A:8

B:14

C:3

D:11

E:7

F:4

G:1

H:12

J:9

K:10

L:2

M:6

N:5

O:13

The product of a 3 and the sum of number and 5 is equal to 60

Answers

Answer:

3n + 5 =60

Step-by-step explanation:

Answer : n=55/3

What is the value of (-5)^4?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

-625

Step-by-step explanation:

-5× -5 = 25

25 × 25= 625

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.

Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?

a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.


b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.


c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.


d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.


e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.

Answers

I got A and E I hope that works

Please find the measure of the exterior angle

Answers

Answer:

exterior angles:

144°and 36°

126° and 54°

90° and 90°

Step-by-step explanation:

we know that each angle in a triangle adds up to 180°.

so,

2x+3x+5x=180

10x=180

x=180/10

x=18

the interior angles are:

2x=36°

3x=54°

5x=90°

and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)

-3(n-3)????????????????!!!

Answers

The answer is -3n+9 when you solve it

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?

Answers

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]

Therefore, it will take 88.2 months to accumulate the amount.

find the difference between the actual values of the two sixes in the number 6036​

Answers

the difference between the two sixes is the first six’s actual value is 6000 where the second six is 6
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