∠A and \angle B∠B are supplementary angles. If m\angle A=(7x-15)^{\circ}∠A=(7x−15)

and m\angle B=(2x-3)^{\circ}∠B=(2x−3)

, then find the measure of \angle A∠A.

Answers

Answer 1

Answer:

m ∠ A = 139° ; m ∠ B = 41°

Step-by-step explanation:

Supplementary angles sum = 180°

m ∠A + m ∠ B = 180°

 (7x - 15) + (2x - 3) = 180°

9x - 18 = 180°

9x = 180 + 18

9x = 198°

x = 22

m ∠A  = 7x - 15 = (7·22) - 15 = 154 - 15 = 139°

m ∠ B = 2x - 3 = (2·22) - 3 = 44 - 3 = 41°

Check:  m ∠ A + m ∠ B = 180°

                 139° + 41° = 180


Related Questions

If 2x +4= 36, what is the value of x?

Answers

Answer:

2x + 4 = 362x = 36-42x = 32x = 32/2x = 16

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?​

Answers

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

what’s 4x+9-x-3x=9 ?

Answers

Answer:

x=0

Step-by-step explanation:

4x+9-x-3x=9

4x-x-3x=9-9

0x=0

x=0

Rearrange to make x the subject
4(x-3) =y
pls help

Answers

4(-3x)=y F f f f f f f f d d d d d d d d d d d d d d d d d d d d d d

In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? % ​

Answers

Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.

Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.

Answers

Where's your question?


Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?

Answers

Answer is 36. Hope this helps.

x-40+9x-5 simplified

Answers

Answer:

your answer would be 10x-45

Step-by-step explanation:

The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.

Answers

Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

The length of the missing side is 7.5

Step-by-step explanation:

let the missing side be x

[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]

98.01 = 42.25 + x^2

x^2 = 98.01 - 42.25

x^2 = 55.76

[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]

x = 7.5 or 7.47

Drag and drop each reason next to the corresponding statement to prove ∠B ≅ ∠C, given point M is the midpoint of BC.

Answers

Answer:

1. Given

2. Definition of midpoint

3. Given

4. Reflexive property of congruence

5. SSS

6. CPCTC

Step-by-step explanation:

What is 2x + 45?

Plz help, Wanna T.a.l.k?

Answers

X= 22.5 get the x by itself by dividing by 2

Answer:

It is linear

Step-by-step explanation:

I don't know if you needed it graphed or what was needed to solve your question

A system of equations is shown. x = 10 3x + 5y = 20

Answers

Answer:

(10, - 2 )

Step-by-step explanation:

x = 10 → (1)

3x + 5y = 20 → (2)

Substitute x = 10 into (2)

3(10) + 5y = 20

30 + 5y = 20 ( subtract 30 from both sides )

5y = - 10 ( divide both sides by 5 )

y = - 2

solution is (10, - 2 )

Can I please get brainliest, thank you!!

divide four into twelve

Answers

Answer:

3

Step-by-step explanation:

Four circles and 12 dots, divide them equally into the circles.

Answer:

3

Step-by-step explanation:

It's kinda like multiplying 3 and 4 then get 12

8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?

Answers

Let y-axis saving
X-axis weeks
Slope change in y-axis/x-axis
If at week 5 she has 85
85=6(5)+C
C=55
Y=6x+55

PLEASE LAST ONE HELP!!!

Answers

Answer:

JKN and ONK

Step-by-step explanation:

Hope this helps :)

what pattern do you noticed for each column​

Answers

Answer:

If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.

For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.

This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.

Step-by-step explanation:

Hope that makes sense :)

If you still don't get it, please let me know.

Make y the subject of the formula
w=x^2-2yz

Answers

Answer:

Solve for y by simplifying both sides of the equation, then isolating the variable.

y = x^2/2^z - w/2z

Step-by-step explanation:

Answer:

w=x^2-2yz

x^2-w=2yz

x^2-w=y

2z

Step-by-step explanation:

While Dr. Andy operated, he thought of consecutive odd integers. His intensas
such that 4 times the sum of the first and fourth was 12 greater than 3 times them
the second and third. What were the first four integers on Dr. Andy's list?

Answers

Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).

The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:

1/3(x)+1/4(x+1)=9.

 

Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...

1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).

 

Now the equation is 4/12(x)+3/12(x+1)=9

 

Multiply both sides by 12 so the denominators are gone:

 

[12•]4/12x+3/12(x+1)=9•12

4x+3(x+1)=108

 

Using distribution, it's now 4x+3x+3=108. Continuing on with the math...

7x+3=108

7x=105

x=15

 

We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?

5+4=9 and 9=9 so YES! The numbers are 15 and 16

Please Answer this (mathematics)

Answers

Answer:

50.21, 50.12, 50.102,50.021

the last one

Step-by-step explanation:

sorted into descending order

Estimate the sum of 462+526+856

Answers

So first round them to the nearest hundred so it’ll be 500+500+900. Then add them together to get 1900

Answer: 1844 because you just simply add 462+526+856=1844.

please answer a and b fast
15 marks

Answers

Answer:

a) $670

b) $6600

Step-by-step explanation:

a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price

0.906P = 607, P is the price of 1 kg of silver on 1st January 2015

P = 607/0.906 = 669.9779249 ≈ $670

b) The decrease of the price was $1320, which is 20%.

0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010

-0.20P = 1320

P = 1320/(-0.20) = $6600

I don’t understand this :(

Answers

Step-by-step explanation:

Sum of two interior Angles equals to exterior angle . So ,

1 = 65 + 47 = 112°

And , angle sum property of a ∆ is 180° . Hence ,

2 = 180 - 65 - 68 = 47°

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer might be: 24

F = 1.8 C + 32
(a) Work out the value of F when C = -8

Answers

Answer:

17.6°

Step-by-step explanation:

1.8x-8=-14.4

-14.4 + 32= 17.6°C

The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?

Answers

Answer:

$2408.

Step-by-step explanation:

28 * 86

1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))

Answers

Answer:

[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]

Please help make sure to show your steps too, please

Answers

Answer:

Slope = -2

Step-by-step explanation:

Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:

Let (x₁, y₁) = (-4, 10)

    (x₂, y₂) = (0, 2)

The formula for solving for the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

where m represents the slope of the line.

Substitute the given values into the formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]

[tex]m = \frac{-8}{0 + 4 }[/tex]

m = -8/4

m = -2

Therefore, the slope of the line is -2.

May I please receive help?

Answers

Answer:

74 meters

Step-by-step explanation:

don’t get it. someone help. algebra 1!

Answers

The y - intercept is -2
Have a great day/night !

Answer:

+2

Step-by-step explanation:

Other Questions
The ___________ Empire considered itself to the continuation of the Roman Empire, and was only later given this name. Question 3 options: British Macedonian Ottoman Byzantine. find x help pls i need help asap pls! Part AAs the company has increased in popularity, it has continued to add employees in all departments. The production facility manager has provided data that shows the relationship between the number of units produced in an hour and the number of workers on the production line during that hour. The data is shown in the table.Question 1: What type of function would be model the data? Question 3: Use the graphing tool and best fit function of the tool to write a function that models the data. Round coefficients and constants to the nearest hundredth. Question 4: Produce about 2300 fidget spinners every hour. How many workers should Marco recommend. Show your work. solve pls brainliest 14. We go to school ___________ bike. A. on B. by C. with D. in identify poetic devices NO SCAMS show and tell where they are60PTSA veryBeautiful dayComes when IDont spendEvery second worryingFor whats in the future,Good days dont always come easyHowever,I try to grow within myself and avoidJealousy, Ive realized over time itKills.Love seems easierMakes things easierNobody really wants to fightOver nonsense.Perhaps thats just me thinkingQuite a lot of people seem to notRealize how helpful it is to have commonSense.Trying my best,Understanding what I am doing in the momentVery important steps to progressingWho wouldnt want to grow?Xenas is what ill be You know now how I feel, about feeling tooZealous. I simply want to grow Hacer una crnica deportiva President Reagan was trying to comfort a shocked nation after the shuttle exploded and the crew was killed.As you read the speech, annotate it for the different rhetorical devices you see. Start with ethos, pathos, and logos but then identify other examples of devices. Highlight the lines in the speech and write a comment identifying these devices on them on the side. You should have at least 7 entries on this speech. Thenon the bottom of the speechexplain in a short paragraph (1/4+ page) how all of these rhetorical devices help to make the speech more effective. Using the quadratic formula to solve 5x = 6x-3, what are the values of x? David created two functions. Function A can be represented by y=3/4x +2. Function be is represented by the graph below. Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =please help (: 1. The Crusades helped start the Scientific Revolution by:A. breaking up kingdoms into feudal fiefdoms.B. bringing Europeans into contact with the Islamic world.C. increasing the power and prestige of the Catholic Church.D. All of the choices are correct.2. Which of the following ideas is most associated with the Age of Enlightenment?A. Colonies exist for the benefit of the mother country.B. The king's rule is absolute and his authority comes from God.C. One can deduce the best form of government by analyzing man in his natural state.D. By following a Middle Path between extremes, one can better understand the universe.3. Which of the following philosophers believed that, in the state of nature, man's life was "nasty, brutish, and short?"A. John LockeB. Thomas HobbesC. Baron de MontesquieuD. Jean-Jacques Rousseau4. Which of the following philosophers advocated for a separation of powers in which three branches of the government check each other?A. John LockeB. Thomas HobbesC. Baron de MontesquieuD. Jean-Jacques Rousseau5. Enlightened despots, like Catherine the Great or Frederick the Great:A. voluntarily gave up power.B. persecuted Enlightenment philosophers.C. were forcibly removed from power by rebellions.D. pursued limited reforms based on Enlightenment ideas. WHY did Hernando Cortes's accomplishments MATTER?? True or False? Winds always flow from low pressure to high pressure.True or False? Land heats and cools faster than water.True or False? Both global and local winds are caused by uneven heating of the Earth's surface.True of False? The 'horizontal movement of air is called wind.What is the Coriolis effect? What was the experience of North Carolina soldiers throughout the war? Please hurry, question in the image.Only real answers will get positive feedback. How to use is 5/8 of a gallon of paint to cover 4/5 of a walk what is the unit rate at which Martha paints in walls per gallon What unit is used to measure force all over the worlD 14 Which of the following was a primary goal ofPresident Abraham Lincoln at the outset of theCivil War?A.to abolish slavery in both Union andConfederate statesB.to restore the Confederate states to the UnionC. to punish the Confederate states for secessionD.to prevent slavery from spreading to westernterritories Sulphuric acid (H2SO4) is titrated against 25.00cm3 of 0.200 mol/dm3 Sodium hydroxide solution (NaOH). It is found that 23.20 cm3 of sulphuric acid is required for neutralization. Calculate the concentration of Sulphuric acid