Given: l || m; 1 = 20x + 5; 2 = 24x - 1 Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o Find the value of x.

Answers

Answer 1

Answer:

The answer to your question would be, x=4.

Step-by-step explanation:

∠1 and ∠2 are interior angles between parallel lines that are on the same side of a transversal, so they are supplementary.

Therefore, (20x+5)+(24x-1) = 180

44x = 176

x=4

I hope this helps! Have a great day! :]

Answer 2

For the given set of parallel lines l and m , value of x is equals to 4.

What are parallel line?

"Parallel lines are such lines which are equidistant from each other and never intersect in the same plane."

According to the question,

l ║ m ,

As per theorem pertaining to transversal and parallel lines ,

∠1 and ∠2 are supplementary if and only if they are interior angles.

m∠1 + m∠2 = 180°                    _____(1)

∠1 = 20x + 5

∠2 = 24x - 1

Substitute the value ∠1 and ∠2 in (1), we get

20x + 5 +24x - 1 = 180°

⇒ 44x + 4 = 180°

⇒ 44x = 176

x = 4

Hence, for the given set of parallel lines l and m , value of x = 4.

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Related Questions

Please help! Geometry:

Answers

Answer:

x=29

Step-by-step explanation:

the line in the middle of the triangle is at a right angle, so each side of it must equal 90 degrees, so then 90=3x+3, 90-3=3x then you simply, 87=3x which equals x=29.

The answer to your question is x=29

PLZ hep thank you! :) Estimate a 15% tip on a dinner bill of $63.45 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Calculate tip at a restaurant. Enter cost and tip percent to get a tip amount and total dinner amount. Also split the ... Answer is in dollars and cents or rounded to dollars. ... You can find 10% of your bill by moving the decimal one place to the left. ... To find 15%, halfway in between, we know 15% is 10% plus 1/2 of 10% (5%).

Step-by-step explanation:

Tyler paid $16 for 4 raffle tickets.
What is the price per ticket?

Answers

Answer:

$4

Step-by-step explanation:

16 divide by 4 equals 4

Answer:

$4 per raffle ticket

Step-by-step explanation:

I would make a proportion:

?= price per ticket

4 - $16

1  - ?

Solve: 1×16÷4= 4

Sheldon harvests the strawberries and tomatoes in his garden.

Sheldon also picks tomatoes from his garden. He picked 5310 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.

Answers

Answer:

5310-1.5=x

x=5308.5

Step-by-step explanation:

HELP! Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or the same as the original value.

Answers

Answer:

this the right answer

Step-by-step explanation:

less than the original

A 20% INCREASE FOLLOWED BY A 25% DECREASE

SAME AS THE ORIGINAL

A 25% INCREASE FOLLOWED BY A 20% DECREASE

A $10 INCREASE FOLLOWED BY A $10 DECREASE

A 50% DECREASE FOLLOWED BY A 100% INCREASE

A 50% INCREASE FOLLOWED BY A 33 1/3% DECREASE

have a good day!!

he scatter plot shows the average heights of children up to age 5.
Part A
Drag numbers to complete an equation for the trend line. Numbers may be used once, more than once, or not at all.

(22, 2.5, 18, 32, 4.5)

y = ?x + ?

Part B
Using the linear equation, predict the average height for a two-year old.

A. 15 inches
B. 22 inches
C. 31 inches
D. 35 inches​

Answers

I think answer should be d. Please give me brainlest let me know if it’s correct thanks bye
ITS D THATS Goin BE THE RIGHT ANSWER

Can someone find the answer

Answers

Answer:

it is B.

Step-by-step explanation:

B. can i have brainlyest please

What the person above me said is correct

Tom and his friend Huck were painting a fence. After 1.25 hours, they noticed that they had only painted 3/4 of the fence. What is the rate per hour at which they are painting the fence?
Tom and Huck are painting the fence at a rate of___ of the fence per hour.

Answers

it is 1.25 divided by 3/4 but you have to convert it to decimals. so it is 1.25 divided by 0.75 ≈ 0.66
1.25 is the answer hope it helps

A square sports court has an area of 120 square meters. What two perfect squares would the area of this court fall between?

Answers

3rd from the left side

A square sports court has an area of 120 square meters. The First two perfect squares would the area of this court fall.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = [tex]sides^{2}[/tex]

A square sports court has an area of 120 square meters. The two perfect squares would the area of this court fall.

The area of the first two squares = [tex]sides^{2}[/tex]

The area of the first squares = 10 x 10

                                            = 100 sq. meters

The area of second squares = 11 x 11

                                                 = 121 sq. meters

Learn more about the area;

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP :O Simple Algebra! I'll give BRAINLIST!!!!!!!! Pls look at the image below. Please do all. Tell me which is equivalent. TY. Quick pls

Answers

Answer:

Step-by-step explanation:

There is no picture. Can I have brainly still?

Jeremiah opened a savings account with a one-time deposit of $500. His savings account will pay a 5% simple interest per year. His brother, Brian, opened another savings account with a one-time deposit of $200. Brian’s savings account will pay 3% compounded annually. Who would earn more interest, to the nearest dollar, in 2 years?

Answers

Answer:

jeremiah would earn more interest to the nearest dollar in 2 years

Step-by-step explanation:

It is found that jeremiah would earn more interest to the nearest dollar in 2 years.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Given that Jeremiah opened a savings account with a one-time deposit of $500. Rate of 5% simple interest per year.

I = 500 x 5 x 1/100

I = 25

For 2 year it would be 50 dollars.

Also, Brian, opened another savings account with a one-time deposit of $200. Rate of 3%

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\a = 200(1 + \dfrac{3}{2})^{4}[/tex]

a = 12.35

Hence, It is found that jeremiah would earn more interest to the nearest dollar in 2 years.

Learn more about simple interest here:

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Write the equation of the line in slope-intercept form.

The equation of the line in slope-intercept form is

Answers

Answer:

y = 70x + 20

Step-by-step explanation:

Let me know if I am right

Y=70x=20 let me know if it is right

Order these three values from least to greatest. Explain or show your reasoning.
65% of 80
82% of 50
170% of 30


(Will give brainliest)

Answers

Answer: 82% of 50, 170% of 30, 65% of 80.

Step-by-step explanation: By converting the percentages to decimals (Shift the decimal point to the left twice for the percentages) and then multiplying them by the desired number, you will find the percentage of said number. In this case the numbers are 41, 51, 52.

Answer:

82% out of 50

65% out of 80

170% out of 30

Step-by-step explanation:

that's the correct answer

why would a prism beat a sphere in a competition?
A.GO FOR THE CUBE
B.NO ONE HAS THE EDGE
C.IT CAN NOT WINN

Answers

Answer:

B.

Step-by-step explanation:

Gary's pay is $15 per hour. He receives a 6% pay raise.

What is Gary's new hourly pay rate?

A
$15.60 per hour

B
$15.90 per hour

C
$16.10 per hour

D
$16.30 per hour

Answers

Answer:

A 15.60 per hour

Step-by-step explanation:

Answer:

Gary's new pay rate is $15.90 per hour.

Hope this helps :)

-ilovejiminssi♡

This negative and positive stuff is really confusing me can anyone please help?

Answers

Answer:

Positive integers have values greater than zero. Negative integers have values less than zero. Zero is neither positive nor negative. The rules of how to work with positive and negative numbers are important because you'll encounter them in daily life, such as in balancing a bank account, calculating weight, or preparing recipes. (THIS EXPLAINS WHT THEY R, HOPE THIS HELPS U)

Step-by-step explanation:

The data set shows the numbers of yogurt pretzels in various bags.

5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9
Select the statement that correctly describes the data.

Answers

Answer:

B

Step-by-step explanation:

i believe the answer is B but I’m not sure

hope dis helps ^-^

Answer:A

Step-by-step explanation:

HELP PLEASE I BEG YOU 100 POINTS

Answers

Lol......lol........

Kendra wants to enclose her circular flower garden with a fence. The garden measures 4.5 yards across . How many fencing will Kendra need ?

Answers

14.14 because 4.5/2= 2.25
2.25*3.14=7.065
7.065*2= 14.14
The answer is 14.14

11ピースのスライスチーズが入ったパッケージの価格は2.97ドルです。

18スライスのパッケージは、スライスあたり同じ価格でいくらかかりますか?あなたの理由を説明または示してください。

Answers

Answer:

$4.86

Step-by-step explanation:

The package of cheese that cost $2.97 has 11 slices. To know how much each slice costs, we need to divide $2.97 by 11.

That is $2.97/11 = $0.27 per slice

Now we need to calculate how much would cost a package of 18 slices with the same price per slice.

As we now know that each slice costs $0.27, we just need to multiply 18 by $0.27 to know the total price.

That is 18*$0.27 = $4.86

A package with 18 slices would cost $4.86.

4.86 hope this helps.

Angelica is deciding which bank would give her the best simple interest rate on a $300 deposit. One bank says she will have $320 in her account if she leaves the principal for 2 years. Is this enough information for Angelica to find the interest rate?

PLEASE HELP

Answers

Answer: No. I don't believe that is enough information.

Step-by-step explanation:

Answer: No

Step-by-step explanation:

You'll need to know what the second bank will do before deciding.

can you give me the answer by 11 pm

Answers

355.30 or if rounded 355

Which algebraic expression represents "Sarah has five time as much homework today as yesterday"? A. 5 + h B. 5h C. h-5 D. h/5

Answers

B. 5h- this is because you just do yesterday’s times 5

In a proof of the Pythagorean theorem using similarity what allows you to state that the triangles are similar in order to write the true proportions C-a and

Answers

Answer:

a2+b2=c2

Step-by-step explanation:

e.g:

a=5 b=2 c=?

52+22=c2

25+4=c2

29=c2

square root of 29= c

c=5.385164807

Nick spends 12$ to buy 16 oranges. How much does Nick snap per orange
A. $0.25
B.$0.75
C.$1.33
D.$4.00

Answers

Answer:

B. 0.75

Step-by-step explanation:

hope it will help u

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Answer:

0.75

Step-by-step explanation:

12=16

divide

6=8

divide

3=4

divide

1.5=2

divide

0.75=1

Make sure to check your work!

please help solve this, I can't figure out how to do it

Answers

Here is a picture that might help you, if you need more help just ask.

i can't figure it out either !

Find the area and perimeter of trapezium.

Answers

Answer:

Perimeter- 26cm

Area- I Don't know sorry. I'll comment if I figure it out

The perimeter is 26 and the area is 56

Use what you know about decimals or fractions to explain why (0.2)⋅(0.002)=0.0004.

A rectangular plot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its area in square kilometers? Show your reasoning.

Answers

An area of rectangle: a · b

a = 0.4 km

b = 0.07 km

a · b = 0.4 km · 0.07 km = 0.028 km²

Answer:

An area of rectangle: a · b

a = 0.4 km

b = 0.07 km

a · b = 0.4 km · 0.07 km = 0.028 km²

????????????????????????????????????

Answers

x = 13

13 x 8 = 104
2(13) + 14 = 40
104 + 40 + 36 = 180

Elimination Problem Please I Need HELP this makes me want to die lol

3y= -5x-3
y= -x+1

HELP ME PLEASE I BEGGGG

Answers

Answer:

(-3, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3y = -5x - 3

y = -x + 1

Step 2: Rewrite Systems

Equation y = -x + 1

[Multiplication Property of Equality] Multiply everything by -3:                   -3y = 3x - 3

Step 3: Redefine Systems

3y = -5x - 3

-3y = 3x - 3

Step 4: Solve for x

Elimination

Combine 2 equations:                                                                                   0 = -2x - 6[Addition Property of Equality] Add 6 on both sides:                                  6 = -2x[Division Property of Equality] Divide -2 on both sides:                              -3 = x

Step 5: Solve for y

Define original equation:                                                                               y = -x + 1Substitute in x:                                                                                                y = -(-3) + 1Simplify:                                                                                                           y = 3 + 1Add:                                                                                                                 y = 4
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