A conjecture and the flowchart proof used to prove the conjecture are shown.

Given: A B C D is a parallelogram. Prove: Angle 1 is supplementary to angle 3. Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.



Drag an expression or phrase to each box to complete the proof.

A Conjecture And The Flowchart Proof Used To Prove The Conjecture Are Shown.Given: A B C D Is A Parallelogram.

Answers

Answer 1

Answer:

1. Definition of parallelogram

Step-by-step explanation:

1. Definition of parallelogram

2. Angle Congruence Postulate

3. m<2 + m<3 =180

4. m<1 + m<3 =180

5. Definition of supplementary

A Conjecture And The Flowchart Proof Used To Prove The Conjecture Are Shown.Given: A B C D Is A Parallelogram.
Answer 2

∠1 is supplementary to ∠3 by the Definition of supplementary angles

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Prove: Angle 1 is supplementary to angle 3.

Given information as; ABCD is a parallelogram.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = the exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

m<1 + m<3 = 180                            Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

Therefore, we can conclude that ∠1 is supplementary to ∠3 by the Definition of supplementary angles.

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A Conjecture And The Flowchart Proof Used To Prove The Conjecture Are Shown.Given: A B C D Is A Parallelogram.

Related Questions

What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1?

Multiply both sides by 6.
Add 2 to both sides.
Change the direction of the inequality.
Change the inequality to ≤.

Answers

Answer:

A) Multiple both sides by 6

Step-by-step explanation:

Edge2020

Solve for b. -1b - 8 > -7​

Answers

Step-by-step explanation:

Hey there!

Given;

-1b - 8 > -7

Take '-8' to right side.

-1b > -7+8

-1b > 1

b > -1

Hope it helps...

Help please if you can thanks

Answers

Answer:

The answer is C

Step-by-step explanation:

In 1 they are talking about future tense: What will happen

In 2 they are talking about present tense: What is happening

So they said what they are going do to and now they are doing it

Hope this helped:)

Drag each label to the correct location on the graph.Not all labels will be used.

I’ll cashapp whoever knows the right answer 30 dollars .

Answers

Step-by-step explanation:

I'd 5603642259 password is 123456 join meeting on zoom

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?

Answers

Given:

Total number of students at Colfax Middle School = 270

Ratio of boys to girls is 5:4.

Total number of students at Winthrop Middle School = 180

Ratio of boys to girls is 4:5.

The two schools hold a dance and all students from both schools attend.

To find:

The fraction of the students at the dance are girls

Solution:

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

[tex]5+4=9[/tex]

Number of boys [tex]=270\times \dfrac{5}{9}=150[/tex]

Number of girls [tex]=270\times \dfrac{4}{9}=120[/tex]

There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

[tex]4+5=9[/tex]

Number of boys [tex]=180\times \dfrac{4}{9}=80[/tex]

Number of girls [tex]=180\times \dfrac{5}{9}=100[/tex]

Now,

Total number of students in both schools [tex]= 270+180[/tex]

                                                                [tex]= 450[/tex]

Total number of girls in both schools [tex]= 120+100[/tex]

                                                         [tex]= 220[/tex]

The fraction of the students at the dance are girls is

[tex]\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}[/tex]

[tex]\text{Required fraction}=\dfrac{220}{450}[/tex]

[tex]\text{Required fraction}=\dfrac{22}{45}[/tex]

Therefore, the required fraction is [tex]\dfrac{22}{45}[/tex].                                

5000 jumps for 8 hours ___ per hour

Answers

Answer:

This is 625 jumps an hour.

Alexander is a stockbroker. He earns 11​% commission each week. Last​ week, he sold ​$5,400 worth of stocks. How much did he make last week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011?

Answers

Answer: 594 and 30888

Step-by-step explanation:

5400 x 0.11 = 594

594 dollars in commission of one week

52 weeks in a year

52 x 594 = 30888 dollars made in 2011

594 dollars in commission of one week.

$30888 he make in commission in​ 2011.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Stocks sold= $5400

Commission each week = 11%

So, Commission on Stocks sold

= 5400 x 0.11

= 594

Thus, 594 dollars in commission of one week.

As, 1 Year = 52 weeks

So, He can make in 2011 = 52 x 594 = $30888

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A circle is centered at the point O (0,0) and has a radius of the square root of 38?
Where’s does the K (6,1) lie?

Answers

Answer:

The point (6,1) lies inside the circle.

Step-by-step explanation:

Equation of a Circle

A circle centered at the point (h,k) and with radius r, can be expressed with the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center of the given circle is (0,0) and the radius is [tex]r=\sqrt{38}[/tex], thus the equation of the circle is:

[tex](x-0)^2+(y-0)^2=(\sqrt{38})^2[/tex]

Simplifying:

[tex]x^2+y^2=38[/tex]

Each point (x,y) meeting the condition of the equation lies exactly on its circumference. For example, the point [tex](\sqrt{2},6)[/tex] belongs to the circumference, but the origin (0,0) is inside the circle, and the point (5,5) is outside the circle.

We can tell the difference by evaluating the equation at each point. For the first point [tex](\sqrt{2},6)[/tex], the equation is:

[tex](\sqrt{2})^2+6^2=2+36=38[/tex]

The equation is satisfied.

For the origin (0,0):

[tex]0^2+0^2=0[/tex]

For the point (5,5):

[tex]5^2+5^2=50[/tex]

We can conclude that if the left side is greater than 38, the point is outside the circle, if it's less than 38, the point is inside the circle.

Let's test the point (6,1):

[tex]6^2+1^2=37[/tex]

The point (6,1) lies inside the circle.

Solve. -7x + 29 = 6 (8+3x)

Answers

Answer:

Hi there

Your answer is

x = -.76 OR -19/25

Step-by-step explanation:

-7x +29 = 6(8+3x)

-7x +29 = 48 + 18x

-18x

-25x +29 = 48

-29

-25x = 19

/-25

x = -.76 OR -19/25

Answer:

x=-19/25 or x=-0.76

-(1+7x)-6(-7-x)=36 what is x equal to

Answers

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-(1 + 7x) - 6(-7 - x) = 36

Step 2: Solve for x

Distribute: -1 - 7x + 42 + 6x = 36Combine like terms: -x + 41 = 36Subtract 41 on both sides: -x = -5Divide both sides: x = 5

Step 3: Check

Plug in x to verify it's a solution.

-(1 + 7(5)) - 6(-7 - 5) = 36

-(1 + 35) - 6(-12) = 36

-(36) + 72 = 36

-36 + 72 = 36

36 = 36

Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.

What is the error in Aaron’s reasoning?
The commutative property is not true for addition.
The negative signs were switched.
The numbers are not in the correct order.
The associative property was used.

Answers

Answer:

The answer is "the negative signs were switched"

Answer:

The answer is "the negative signs were switched"

Step-by-step explanation:

k(n)=3n+2; Find k(0)

Answers

Answer:

2

Step-by-step explanation:

substitute 0 for n:

3(0)+2

=2

Answer:

2

Step-by-step explanation:

The least common multiple of two numbers is 24. Which could be the two numbers?
6 and 8
4 and 6
8 and 16
4 and 12

Answers

Answer:

a

Step-by-step explanation:

Answer:

A=6 and 8

Step-by-step explanation:

Hope it is correct

Select equivalent or not equivalent for each pair of expressions

Answers

Answer:

1: equivalent

2: equivalent

3: not equivalent

Step-by-step explanation:

for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.

Mario walked 7422 steps one day then he walks 5570 stops the next day. which calculation can be used to find the total number of steps Mario walked two days

Answers

Answer:

A caucluation he can use is adding, just add 7422 and  5570 and you should get your answer.

Step-by-step explanation:

Mario walked total 12992 steps.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mario walked 7422 steps one day

and, he walks 5570 stops the next day.

So, the total number of steps

= 7422 + 5570

= 12992 steps

Hence, Mario walked total 12992 steps.

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Alisa uses her cell phone to search how many pounds of sand will is required to fill 1 cubic foot and finds out the answer is 100 pounds. Choose 1 of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. Sand b- 0.08$ per lb sand A- 0.08333 PLS HELP ME

Answers

This question is Incomplete

Complete Question

Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her

to set up a beach volleyball court in their back yard. A standard beach volleyball court is approximately

26 feet by 52 feet. She figures that she will need the sand to be one foot deep. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.

Sand A = 60Ibs = $5

Sand B = 150lbs = $12

Alisa uses her cell phone to search how many pounds of sand is required to fill 1 cubic foot and finds the answer is 100 pounds. Choose one of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. Identify which brand was chosen as part of your answer.. Answer:

For Sand A should would need:

$11.266.67

Step-by-step explanation:

From the above question, we can assume that: her court is 1 cubic foot and can be filled with 100 pounds of sand

First we find the volume of the box

52ft × 26ft × 1 ft

= 1352 ft³

100Ib = 1 ft³

1352 ft³ × 100 Ib/ft³

= 135200Ibs

Sand A = 60Ibs = $5

Hence, $1 = 60Ibs/5

= 12Ibs

To purchase enough sand using Sand A to fill the court

= 135200Ibs/12lbs

= $11.266.67

What is the value of 8 in 0.283

Answers

Answer:

0.08 which is eight hundredths

Step-by-step explanation:

0.283

The 8 in is the hundredths place, so the eight's value is 8 hundredths.

Answer:

the value of 8 is hundredths


A ribbon 105 centimeters long is cut into two pieces. One of the pieces is four times longer than the other. What is the length, in centimeters of the shorter piece
of ribbon?
Type your answer as the number ONLY.

Answers

Answer:

  21 cm

Step-by-step explanation:

The two pieces have a length ratio of 1 : 4, so the shorter piece is 1/(1+4) = 1/5 of the total length.

 105 cm/5 = 21 cm

The shorter piece is 21 cm.

_____

We assume you can figure out how to write only the digits of the number.

What is 1 2/3 - 2 1/3?

Answers

Answer:

-0.6666

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

Make the fractions into improper fractions. Then you procede to subtract from left to right from the top. The 1 2/3 becomes 5/3 and the 2 1/3 becomes 7/3 and when you subtract your answer is -2/3

the sum of pi and 3/4 is a (n)_________ number

A. Rational

B. Natural

C. Whole

D. Irrational​

Answers

the answer is a.rational

Suppose a 24-acre plot of land is being divided into (1/3)-acre lots for 10 poir
a housing development project. What is the greatest number of lots
possible in the development? *
O 8 lots
O 27 lots
O 56 lots
O 72 lots

Answers

72 lots. The operation here is division.
24 is divided into portions of 1/3.
24 divided by 1/3 = 24 x 3/1 = 72

Answer:

72 lots

Step-by-step explanation:

It takes Jada 1 1/2 to mow her lawn. It takes Kam half as long to mow his lawn. How long does it take Kam to mow his lawn?​

Answers

45 minutes to mow his lawn.

6=2(y+2) solve for y pls I need this!!!!!!!!!!

Answers

Answer:

3=y

Step-by-step explanation:

step1

decompose the bracket

6=2(y+2)

6=2y+12

collect like terms

6-12=2y

6=2y

divide both side by 2

Which fraction is equivalent to this decimal?
0.16 repeating
A. 1/16
B. 16/100
C. 1/6
D. 1/3

Answers

Answer: B

16/100 = 0.16

0.16 is 16/100 exactly.

1/16 = 0.000625

1/6 = 16.666...

1/3 = 33.33...

So, the answer is 16/100.

Hope this helps!

The fraction is equivalent to the decimal number 0.16 will be 16/100. Then the correct option is B.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 0.16

The fraction is equivalent to the decimal number 0.16 will be

Multiply and divide the number by 100. Then the fraction number will be

⇒ 0.16 x 100 / 100

⇒ 16 / 100

The fraction is equivalent to the decimal number 0.16 will be 16/100. Then the correct option is B.

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a student on cross country team runs 30 minutes a day as a part of her

Answers

Answer:

Part of her?

Step-by-step explanation:

What..-?

can you help me find the answer to -1/3+-7/4

Answers

Answer:

2.08333333333

Step-by-step explanation:

fromm google

can I have brainliest

Answer:

-25/12

Step-by-step explanation:

It is basically adding 1/3 to 7/4 then placing a negative in front.

Write an equation and interpret the y-intercept.
You need $125 to buy an MP3 player. Your allowance is $5 per week and you earn $20 per lawn mowed
Write an equation that represents your weekly income in dollars for x lawns mowed. Interpret the y intercept . How many lawns do you need to mow to earn enough money in one week to buy the MP3 player?

Answers

Answer:

Answer in explanation

Step-by-step explanation:

The equation of a straight line can be represented in the form;

y = mx + c

where m is slope and c is y-intercept

In this particular case

y = 20x + 5

y is the weekly income, x is the number of lawns mowed

The y-intercept 5 is the amount earned in a week given they no lawn was mowed

In a case where y = 125

125 = 20x + 5

20x = 125-5

20x = 120

x = 120/20

x = 6

You need to mow 6 lawns to earn enough money in one week to buy the MP3 player

The band is selling tickets to their spring show. The auditorium holds 1200 people. What is the reasonable domain for the number of people to attend the show? (Hint: #

Answers

Answer:

don´t ge it sorry

Step-by-step explanation:

It costs a flat rate of $35 for you to rent the ovens for as many hours as you want. You charge $29 per birthday cake. Your total costs is $470. Write and solve an equation to find how many birthday cakes were made.

Answers

470 = 29x+35

(x is number of birthday cakes)

subtract 35 from both sides,

435 = 29x

divide both sides by 29 to get x by itself,

15 = x

15 birthday cakes were made!

Answer:

35+29x=470 x=15 cakes

Step-by-step explanation:

3 35 represents rate for the oven and then 29 dollars per cake is the 29. 470 is the total amount of money you spent you just have to solve the equation from then to get x equals 15

The black graph is the graph of y = f(x). Choose the equation for the red graph. A. y + 4 = f(x) B. y - 4 = f(x) C. y = f(x - 4) D. y = f(x + 4)​

Answers

The equation is m4-m77=m99

The right equation of the red line will be f(x)=y-4 if the equation of the black line is f(x)=y

What is the equation?

The equation is like a relationship between variables.

What is a variable?

A variable is anything which have a value.

How to form an equation?

If we see the points of red line and the lack line we can see the value of x in black line is 4 greater than red line so the equation will be

f(x)=y-4 for the red line for the given equation of the lack line which is f(x)=y

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