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

Thomas spent $3.30 for 3 ice cream cones. Dan spent 2.50 for 2 ice cream cones. How much less did Dan or Thomas spend?


A. $0.25

B. $0.05

C. $0.15

D.$0.10

Answers

Answer: Thomas spent .15 less

Step-by-step explanation:

Dan: 2.50/2=1.25

Thomas: 3.30/3=1.1

1.25-1.1=.15

Answer:

C

Step-by-step explanation:

Each cone they bought was 1.10 each and 1.25 each

1.10<1.25

1.25-1.10=0.15

**URGENT**

18+14=-4(7x -8)
I need help understandin, with a provided answer so I further know/understand

Answers

Answer:

x=0

Step-by-step explanation:

A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d P t ​ =P 0 ​ ⋅2 d t ​ , where P t P t ​ is the population after t hours, P 0 P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 14 hours, to the nearest whole number?

Answers

Answer:

Population of bacteria in culture after 14 hours is 285541.

Step-by-step explanation:

We are given with [tex]P_{t} =P_{0}(2)^{\frac{d}{t}}[/tex]

Here initial population is 41000 , t=5 and d=14

Plug in these values into the formula

[tex]P_{14} =41000(2)^{\frac{14}{5} }[/tex]

Simplify

[tex]P_{14}= 41000(2)^{2.8}[/tex]

     =41000(6.9644)

     =285540.5847...

To the nearest whole number is 285541.

Answer:

285541.

Step-by-step explanation:

P0=41000-The initial population

t=14-Time elapsed

d=5-The doubling time

Pt=P0⋅2^t/d

Pt=41000⋅2^14/5-Plug in

Pt=285540.5848≈285541-(Use parenthesis in the calculator for the exponent)

The children became Americanized much faster than their parents. Often this caused painful conflicts in immigrant families. A gap appeared between the children and their parents. The parents clung to Old World customs and beliefs. The kids spoke English all day with their friends. They thought in American terms. More than anything else, they wanted to be accepted as equals in their adopted land.

Which other detail best supports the idea that children became comfortable in America more quickly than their parents?

When they left school, they looked, talked, and acted just like other American kids.
During hard times, kids had to drop out of school early. In the days before World War I, it was an accomplishment to finish grammar school.
Many kids went directly from grammar school to special vocational schools sponsored by private agencies. . . .
Students were also instructed in the fundamentals of health, hygiene, and personal grooming.

Answers

The right answer is Many kids went directly from grammar school to special vocational schools sponsored by private agencies. . .

I hope it helps :)

Answer:

the answer is C

Step-by-step explanation:

Hope this helped!! :)

Can I get brainliest i need it to level up:)

a triangle has the following two angle measures:
based on the angles given the third angle must have a measure of _______?

Answers

Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

[tex]41 + 77 + x = 180[/tex]

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: [tex]118 + x = 180[/tex]

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: [tex]x = 62[/tex]

Therefore, the third angle must have a measure of 62°.

The cost of renting a canoe is $5.25, plus $0.50 per hour for the time that the canoe is out. Which equation could be used to find C, the cost in dollars for using the canoe for H hours?

Answers

Answer:

C = 5.25 + 0.50H

Step-by-step explanation:

gah, I'm never sure how to explain my work in these sorts of problems. hopefully I was able to help anyways!

Answer:

c=(5.25+0.50H

Step-by-step explanation:

Info in the pic please helppp me ASAP!!!!

Answers

It looks blurry could you take an other one please .

Can I please get help with the answer I don’t understand

Answers

Your answer is BC = 4x + 8

Help plz. If correct, I follow you or mark brainlist

Answers

Answer:

I believe 60 square units in the white rectangle and and 140 square units in the blue. Together would be 200 square units...i think...im sorry if i'm wrong

Step-by-step explanation:

because lxw, 10x6, and lxw, 14x10, add you get 200

ASAP please answer I did the same question 2 times, I give brainist stars thank you and will comment and help you back

Answers

Answer:

the answer is a

Step-by-step explanation:

1/4 times 2 is 2/8 then you add 2 plus 1 is 3 and 2/8 plus 3/8 is 5/8

Answer:

C

Step-by-step explanation:

Enrique is measuring the mass of a flower petal. Which unit of measurement should he use to eliminate the need to write the value in scientific notation?
grams
centimeters
liters
kilograms

Answers

The answer is grams because mass is always measured in grams! Sorry if it is incorrect, please message if you need anymore help! ~pluto100

Answer:

the answer is A) grams

Step-by-step explanation:

just took the test on edge 2021

Cross multiply to solve for x.
6
8
12
х
Value
Correct
Х
please help!!

Answers

x = 69 because of the funny number

73,836 divided by 84
show work pls.

Answers

Answer:

879

Step-by-step explanation:

84 |73836          

1738-672=663

663-588=756

which one is the unit of force
A.Joules
B. Newton
C. Celsius
D. Kelvin

Answers

Answer:

Newtons

Step-by-step explanation:

Joules measure electrical power and celcius and Kelvin measures temperature.

write an equation in point slope form of the line that passes through the (0,1) and has a slope of -3/2

Answers

Answer:

y - 1 = -3/2(x - 0)

Step-by-step explanation:

trust me

The equation of the line in point-slope form is y - 1 = -3/2(x - 0).

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that passes through the (0,1) and has a slope of -3/2. The equation of the line will be written as,

y - y₁ = m(x-x₁)

y - 1 = (-3 / 2) ( x - 0 )

Therefore, the equation of the line in point-slope form is y - 1 = -3/2(x - 0).

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Jin adds 1 gallon of a water-and-bleach mixture that is 4% bleach to 2 gallons of a
water-and-bleach mixture that is 10% bleach. What percent of the final mixture is bleach?

Answers

Answer:

14%

Step-by-step explanation:

1 gallon + 2 gallons = 3 gallons

1/3 of this is 4% bleach, while 2/3 is 10% bleach, together 3/3 is 14% bleach.

Find the length of the missing side 24 7

Answers

Answer:

It could be 25 if the shape is a triangle and in inches.

Step-by-step explanation:

You need to give us the type of shape it is.

what is -f+2+4f=8-3f

Answers

Answer:

f=1

Step-by-step explanation:

You're welcome :)

-f + 2 + 4f = 8 - 3f
3f + 2 = 8 - 3f
6f = 6
f = 1

I don’t get it I need help due today at 11:59

Answers

Answer:

25 and 31, respectively

Step-by-step explanation:

1. Divide the number of miles (77 1/2) by the number of gallons (3 1/10).

2. Whatever number you get is where you place your dot

Tip: Converting fractions to decimals can make the work easier (in this case [77 1/2=77.5], [3 1/10=3.1], [99 1/5=99.2], and [3 1/5=3.2]

Katie borrowed $550. Four months later, she sent a cheque for $562.83 to repay the loan and interest. What was the interest rate charged?

Answers

Answer:

3 percent

Step-by-step explanation:

562-550=12divided 4=3

Text? I go to much going on inside of my head..

Answers

Answer:

If you need anything just let me know.

Step-by-step explanation:

Hope you have a good day.

Solve for x.

x2≥−4



A x≥−2
B x≤−8
C x≥−8
D x≤−2

Answers

Answer:

the answer is c because I just did this answer and I got it correct

The absolute value of x is written as \displaystyle |x|∣x∣. It has the following properties:

If

x

0

,

then

|

x

|

=

x

.

If

x

<

0

,

then

|

x

|

=

x

.

For real numbers \displaystyle AA and \displaystyle BB, an equation of the form \displaystyle |A|=B∣A∣=B, with \displaystyle B\ge 0B≥0, will have solutions when \displaystyle A=BA=B or \displaystyle A=-BA=−B. If \displaystyle B<0B<0, the equation \displaystyle |A|=B∣A∣=B has no solution.

PLEASE HELP HELP. I don’t get the 8 and 9

Answers

Answer: y=8 m=5

Step-by-step explanation:

Answer:

1. 3.125

2. 4.5

Step-by-step explanation:

1. Since the figures are similar, the number you divide from one triangle to the other is the same, no matter the side length. 5(x) = 8 so 5/x = y. If x = 1.6, then y equals 3.125.

2. The same thing here. 4/x = 3 and 6/x = m. In the first equation x would be 1 1 1/3. 6/ 1 1/3 is the same as 6 x 3/4 which is 18/4 or 4.5.

Write the equation of a line in slope intercept form given a slope of -3 and y-intercept
of 12.

Answers

Answer:

y=-3x+12

Step-by-step explanation:

use the formula y=mx+b and just plug in the numbers. m is slope and b is y intercept

sorry if this is wrong :)

What is the value of the expression below? (4/5 + 3/5) + 3.5 × 5​

Answers

Answer:

24.5

Step-by-step explanation:

Answer:

18.9 is your answer

Step-by-step explanation:

Luka buys a special pass to a fair for $7 that allows him to go on every ride for $1 each. How many rides will Luka need to ride in order to spend $20?

Answers

Answer:

He would have to do 13 rides.

Step-by-step explanation:

If he initially pays $7, which lets him pay only $1 for each ride, so when he spends $20, he would have done 13 rides.

There are 13 rides will Luka need to ride in order to spend $20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Luka buys a special pass to a fair for $7 that allows him to go on every ride for $1 each.

Here, Luka need to ride in order to spend $20.

Let number of rides = x

So, We can formulate;

⇒ $7 + $1x = $20

⇒ 7 + x = 20

Solve for x as;

⇒ x = 20 - 7

⇒ x = 13

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Given the speeds of each runner below, determine who runs the fastest. \text{Brooke runs 13 feet per second.} Brooke runs 13 feet per second. \text{Will runs 308 feet in 26 seconds.} Will runs 308 feet in 26 seconds. \text{Ron runs 1 mile in 551 seconds.} Ron runs 1 mile in 551 seconds. \text{Debbie runs 658 feet in 1 minute.} Debbie runs 658 feet in 1 minute.

Answers

Answer:

Brooke runs the fastest.

Step-by-step explanation:

Brooke runs 13 feet per second.

Therefore, speed of Broke = 13 feet per sec.

Will runs 308 feet in 26 seconds.

Speed of Will = [tex]\frac{\text{Distance}}{\text{Time taken}}[/tex]

                       = [tex]\frac{308}{26}[/tex]

                       = 11.85 feet per second

Ron runs 1 mile in 551 seconds.

1 mile = 5280 feet

Speed of Ron = [tex]\frac{5280}{551}[/tex]

                       = 9.58 feet per second

Debbie runs 658 feet in 1 minute.

1 minute = 60 seconds

Speed of Debbie = [tex]\frac{658}{60}[/tex]

                             = 10.97 feet per seconds

Here, speed of Brooke is the maximum.

Therefore, Brooke runs the fastest.

if you are given two coordinate points, you need to first find the?​

Answers

Answer: First you need to find the first point on the coordinate graph..which would be x then y. Remember run before you jump.

Step-by-step explanation:

The first point on the coordinate graph, x, must be identified first. Remember to run before you jump.

What is the coordinate points?

A set of variables that accurately depicts a position. On a graph, the first number represents the distance along, and the second number represents the distance up or down. For example, the point (12,5) is 12 units down and 5 units up.

A coordinate plane is an organizing structure for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis. The coordinate plane is divided into four quadrants. The origin is where these lines intersect (0, 0).

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x, y).

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What of the following statements describes a zero slope? Check all that apply.
The line goes up when moving right to left.
The line goes down when moving right to left.
The line is horizontal.
The line is vertical.
The run is zero.
The rise is zern

Answers

Answer:

A,D,E

Step-by-step explanation:

Answer:

A) The line goes up when moving right to left

False. The slope being zero means there is no change in elevation or height. The line is completely flat and horizontal. Recall that slope = rise/run. If the slope is 0, then the rise must be 0.  

B) The line goes down when moving right to left.

False. The same reasoning as choice A

C) The line is horizontal

True. Any line with a slope of zero is going to be horizontal. For instance, the equation y = 0x+5 is the horizontal line through 5 on the y axis.  

D) The line is vertical

False. This contradicts choice C above. Vertical lines have undefined slopes which aren't numbers due to the fact we cannot divide by zero.  

E) The run is zero

False. The run can be any number but zero. For example, slope = 0 = 0/1 or 0 = 0/5. Dividing zero over any nonzero number leads to 0.

F) The rise is zero

True. As mentioned before in previous answer choices (see choice A in particular).  

===========================================

In summary, there are only two true statements and they are choice C and choice F. The other statements are false.

Step-by-step explanation:

Dillon deposited 3/4 of his paycheck into the bank. If he deposited $46.50 into his bank account, what was the amount of the paycheck?

Answers

Answer:

$62

Step-by-step explanation:

Take $46.50 and divide it by 3 to get 1/4 of the paycheck

46.50/3 = 15.50

Then multiply 15.50 by 4 to get the whole pay check

15.50 x 4 = 62

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