∠A and \angle B∠B are vertical angles. If m\angle A=(3x+26)^{\circ}∠A=(3x+26) ∘ and m\angle B=(x+20)^{\circ}∠B=(x+20) ∘ , then find the value of x.

Answers

Answer 1

Answer:

The value of x is -3

Step-by-step explanation:

The vertical angles are equal in measures

∵ ∠A and ∠B are vertical angles

→ By using the rule above

m∠A = m∠B

∵ m∠A = (3x + 26)°

∵ m∠B = (x + 20)°

→ Equate their measures

3x + 26 = x + 20

→ Subtract x from both sides

∵ 3x - x + 26 = x - x + 20

∴ 2x + 26 = 20

→ Subtract 26 from both sides

∵ 2x + 26 - 26 = 20 - 26

∴ 2x = -6

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{-6}{2}[/tex]

x = -3

The value of x is -3


Related Questions

Write the equation of the line that passes through the
point (6,4) and is parallel to 2x + 3y = 18.

Answers

Parallel = same slope
Find slope of 2x + 3y = 18
Start by putting it in y = mx+b form
Y = -2/3x + 18
Slope is -2/3x
Y = -2/3x + b
Plug in the points into equation
4 = -2/3(6) + b
4 = -4 + b
b = 8
Equation: y = -2/3x + 8

The equation of the line that passes through the point (6,4) and is parallel to 2x + 3y = 18 is: y = -2/3x + 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that line passes throuthe gh the point (6,4) and is parallel to 2x + 3y = 18.

Parallel lines have the same slope

To Find slope of 2x + 3y = 18

Then Start by putting it in y = mx+b form;

Y = -2/3x + 18

Slope = -2/3x

Y = -2/3x + b

Now Plug in the points into equation

4 = -2/3(6) + b

4 = -4 + b

b = 8

Hence, the Equation: y = -2/3x + 8

Learn more about equations here;

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Please help need answer now!!

Answers

Answer: 5/2

Step-by-step explanation:

Using slope formula m = rise/run

At a basketball game 64% were supporting the visiting team. If total number of people attending h the e game was 2000, how many people were supporters of the home team

Answers

Answer:

720

Step-by-step explanation:

0.64 x 2000 = 1280

2000 - 1280 = 720

No. of people supporting the home team out of 2000 people is 720.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, At a basketball game, 64% were supporting the visiting team.

The percentage of people supporting the home team is

(100 - 64)% = 36%.

Now, Total number of people who came to watch is 2000.

∴ No. people supporting the home team is,

= (36/100)×2000.

= 36×20.

= 720 people.

learn more about percentages here :

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Help me please I will give you the brainliest please ;( :[​

Answers

Answer:

I'm not great with domain and range but for the 4th question the answer is b. and for the 5th part 1 the answer is a. and for part 2 the answer is d. i believe

I need the answer please!!!!!!!



Solve: -2(x+4)-1=3(x-2)+4

Answers

Answer: x= -7/5 procedure: -2x-8-1=3x-6+4       -2x-9=3x-2   -2x-3x= -2+9    -5x= 7   answer: x= -7/5

(HELP ME PLEASE) In a triangle that two of its sides are worth 8 cm and 10 cm, the possible values ​​of the third side are:

Answers

Answer:

I'm not sure....

10-8 = 2

lowest point

10+8 = 18

highest point

so the possible values of the third side are:-

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

I'm not sure this is what you are looking for but this is my answer....

i hope this helps...

have a great day ahead :)

after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball​

Answers

Answer:

7 seconds i think let me know if its wrong

Step-by-step explanation:

Why is the product of negative reciprocals always -1?

Answers

Answer:

please check the explanation.

Step-by-step explanation:

Let suppose we have a number = n  

n≠0    

The negative reciprocal of 'n' = -1/n

Taking the product of 'n' and its negative reciprocal '-1/n':

[tex]n\left(-\frac{1}{n}\right)[/tex]

remove parentheses: (-a) = -a

[tex]=-n\frac{1}{n}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=-\frac{1\times \:n}{n}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:n[/tex]

[tex]=-1[/tex]

Canceling the common factor (the number itself) will bring -1.

It proves that the multiplication of any number and its negative reciprocal will always yield -1.

What graph represents the equation y = -1/2x + 1?

Answers

Answer:

The answer to your question is A.

Step-by-step explanation:

Every term is

a constant

a variable

an expression​

Answers

An expression nahehshddsjshshs
A variable since the coefficients wouldn’t match with others.

Tom has $5.05 in quarters and dimes. How many coins are quarters if the total
number of coins is 28? Try creating a system of equations and solving this by either
substitution or elimination.
quarters

Help due by 8 am tm

Answers

Answer: The answer would be 7.03

Step-by-step explanation: cause you gotta get the 28 in there i hope im right

Answer:

15 quarters

Step-by-step explanation:

Assuming q = quarters and d = dimes...

First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.

q + d = 28

.25q + .10d = 5.05

Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.

q + d = 28

4(.25q + .10d) = 4(5.05)

After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6

q + d = 28

q + .4d = 20.20

Divide both sides by .6 to get d by itself.

.6d = 7.8

There are 13 dimes.

d = 13

Subtract 13 from the total coins (28) to get the amount of quarters.

28 - 13 = 15

13 dimes, 15 quarters. Hope this helped!

I need the answer for all but the last one.

Answers

Answer:

2. 7 + 4

3. 21 - 27

4. 8 - 28

Step-by-step explanation:

2. 1 (7+4) = 1×7 + 1×4 = 7 + 4

3. 3 (7-9) = 3×7 - 3×9 = 21 - 27

4. 4 (2-7) = 4×2 - 4×7 = 8 - 28

hope this helps :)

Answer:

1. the answer is 7+4

2. the answer is 21-9.

3. the answer is 8-7.

Hope this helps, have a great day/night, and stay safe!

Please help!!!!!!!!!​

Answers

Answer:

8/125

Step-by-step explanation:

Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far?

A. The percent increase is approximately 31%.

B. The percent increase is approximately 45%.

C. The percent increase is approximately 68%.

D. The percent increase is approximately 82%.

Answers

Answer:

C

Step-by-step explanation:

If you  find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.

A rain gauge had 0.6 centimeter of rain after 2 hours, 0.9 centimeter after 3 hours, 1.2 centimeters after 4 hours, and 1.5 centimeters after 5 hours. At what rate (cm per hour) did it rain?

Answers

Answer: 0.3 cm per hour

Step-by-step explanation:

got it off of quizizzes

What is the range of the function graphed below?

Answers

The range is all possible y values. In this function, range is from -3 < y
* the

Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (1 -3) school (-1, 2) library (3, 2)

Answers

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

help im being timed what is the perimeter of this triangle?!

Answers

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

To find the PERIMETER of a triangle, add the length of its sides.EXAMPLE ⇒ If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. NOTE: The P stands for PERIMETERHope this helpsGod bless

What is the value of x?

Answers

Answer:

x = 5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 16²

x² + 81 = 256 ( subtract 81 from both sides )

x² = 175 ( take the square root of both sides )

x = [tex]\sqrt{175}[/tex] = 5[tex]\sqrt{7}[/tex] ≈ 13.23 units ( to 2 dec. places )

Answer:

x = 5√7

Step-by-step explanation:

By pythagoras theorem,

(hypotenuse)² = (altitude)² + (base)²

(hyp)² - (base)² = (alt)²

(16)² - (9)² = x²

256 - 81 = x²

x² = 175

x = √175

x = 5√7

hope this helps you!

2x4^7=
What is 2x4^7
Example: 2x5^7=2x=78,125

Answers

the answer is 32,768. Do the problem same as your example.

A. -2
B. -1/2
C. 1/2
D. 2

Answers

The correct answer is C

96.90+2.04-24.30 Round your answer to the nearest second decimal

Answers

Answer:

74.64

Step-by-step explanation:

hope this helps :)

Answer:

74.60

Step-by-step explanation:

Hope this helps!

A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water w (in gallons) in the pool after t minutes is given by the function w = 45,000 - 100t. Graph the function. Identify its domain and range. How much water is in the pool after 60 minutes? How many minutes will it take to empty the pool?

Answers

Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool

Step-by-step explanation:

You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,

Ps can I get the brainliest answer

We want to get the domain and range, graph, and analyze the given function.

We have the function:

w(t) = 45,000 - 100*t.

First, we want to get the domain and range of the function.

The domain is defined as the possible values of the input, in this case, is the time.

The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:

w(t) = 0 = 45,000 - 100*t

t = 45,000/100 = 450

Then the domain is D = [0, 450]

The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:

R = [0, 45,000]

The graph of the function can be seen below.

How much water is in the pool after 60 minutes?

Just replace t by 60 in the equation.

w(60) = 45,000 - 100*60 = 39,000

This is 39,000 gallons of water.

How many minutes will it take to empty the pool?

We already found that it takes 450 minutes.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Write this ratio as a fraction in simplest form
140 centimeters to 300 centimeters
Answer choices:
A. 14/30
B. 4/7
C. 1/3
D. 7/15

Answers

Answer:

D

140/300 simplifies to 14/30 and that can be simplified even more to 7/15

Kelly solved an equation: H/ 4 - 11 = 13 using two inverse operations of adding 11 to both sides of the equations, and then dividing both sides by 4. Her answer is H = 6. What is her error?

Answers

Answer:

She should have multiplied by 4, not divided

Step-by-step explanation:

Given

[tex]\frac{H}{4}[/tex] - 11 = 13 ( add 11 to both sides ) ← correct

[tex]\frac{H}{4}[/tex] = 24 ( multiply both sides by 4 to clear the fraction )

H = 4 × 24 = 96

H is divided by 4, thus the inverse operation is to multiply

1. Ginger has 31 drinking straws. If each
straw is 7.875 inches long, how long are
the straws altogether?

Answers

31 x 7.875 = 244.125

244.125 inches altogether

PLZ ANSWER FIRST GETS BRAINLIEST + 20 POINTS

Answers

Answer:

x= -2, y = 5

Step-by-step explanation:

y = -4x-3

y = -2x+1

Set the two equations equal to each other

-4x-3 = -2x+1

Add 4x to each side

-4x-3 +4x = -2x+1+4x

-3 = 2x+1

Subtract 1 from each side

-3-1 = 2x+1-1

-4 =2x

Divide by 2

-4/2 = 2x/2

-2 =x

Now find y

y = -4x-3

y = -4(-2) -3

y = 8 -3

y =5

Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2

Answers

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]

#teamtrees #WAP (Water And Plant)

Solve for x and then find the measure of angle, A.

Answers

Answer:

x = 8

The measure of angle A = 30°

Step-by-step explanation:

angle A and B are supplementary and their sum is 180°

6x - 18 + 14x + 38 = 180° add like terms

20x + 20 = 180

20x = 180 - 20

20x = 160 divide both sides by 20

x = 8 and the measure of angle A

6x - 18 ➡ 6 × 8 - 18 = 30°

Which situation could NOT represent a proportional relationship?

A: The number of gallons of water in x barrel with 42 gallons of water in each barrel

B: The amount an employee who makes $8.50 per hour in h hours

C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds

D: The cost of purchasing p pounds of bananas for $0.55 per pound​

Answers

Answer:

the answer is B

Step-by-step explanation:

pay attention to the word NOT

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The ideas expressed in the excerpt emergeddirectly from a larger intellectual debatemostover the 9. Alan invests 425 in a savings account paying 4.14% compound interest.a. How much will his investment be worth after three years? b. Express the amount paid as a percentage of the amount invested a) Show that x - 8x + 20 can be written in the form (x - a) + a where a is an integer. b) Hence explain how you know that x - 8x + 20 is always positive. I have worked out the first bit of the question and the answer is: x-8x+20x-8x+16-16+20(x-4)+4(x-a)+aa= 4I just need help with part b and I'm struggling to do it. Please help. Claudia, a legal assistant, has been vested by her employer after having worked with the employer for ten years. This implies that she __________.a. she can transfer her entire pension fund balances to a new employers plan if she moves to a new companyb. she will receive the amounts contributed by both the employer and herself when she retiresc. she will receive the maximum amount of pension available under her companys retirement plan when she retiresd. she will receive the funds her employer has contributed to the retirement plan only if she is a member of the company while retiring Luke's pencil case measure 1.5 inches by 4 inches by 6 inches. How many pencils can he fit in his pencil case if each pencil has a volume of 3 square inches? help i need it badly 1. Clarify the importance and need of development project.list some points 3 Read the following sentences from page 47.But Jalil wouldn't look at her. He went on chewing the corner of his lower lipand staring at the pitcher.These sentences suggest that Jalil feels-A guiltyB angryCsorrowfulD disinterested REEEEEEEEEEEEEEEEEE how can Ms power point features will help you in your future career Why was Buksas discovery cause for a celebration? What can audio add to a presentation made up of images and diagrams? A pickup truck carrying 10 to the power of 3 identical brick weighs 6770 pounds. If the empty truck weighs 6133 pounds, what is the weight of each brick? The early United States population was predominantly Protestant. In the nineteenth century, urban populations became increasingly Roman Catholic, especially in the cities of the Northeastern United States. This shift in the pattern of religion was caused bya)internal rural to urban migration from farming areas of the easter United Statesb)transnational migration from Ireland, southern Germany, and Italyc)transnational migration from Latin America and the Caribbeand)religious conversion of urban residentse)out-migration of protestants to rural farming areas of the Midwesteern United States Start making better decisions with the world's leading survey platform. Already have an account? Log in for faster support. Identify why research and a clearly written problem statement are important. Select all that apply. They result in a clear and concise statement of the problem. They ensure that all stakeholder needs are considered. They result in a document that is easy to understand. They result in a problem statement with many variations on the solution. Rebecca wants to ____________that she will not have an allergy attack at her friend's house, so she is proactively taking Claritin before she goes; her friend has many pets. Question 15 options:insureassureensure Ricin is a chemical that has the effect of blocking eukaryotic ribosomes from performing translation. Why is this a dangerous chemical? 2) Write an explicit formula for the sequence 2, 9, 16,....d(n) = Elroy was diagnosed with Lennox-Gastaut syndrome when he was 2 years old. Lennox-Gastaut syndrome is a severe form of generalized epilepsy that results in the frequent seizures. It is also associated with intellectual disabilities and developmental delays, likely due to the repeated neuronal insult from the seizures. After trying a number of different medications, the doctors have failed to find one that is able to control Elroy's seizures. Therefore, his doctor recommends that Elroy start on a ketogenic diet to severely limit the amount of carbohydrates in the diet. While this diet is thought to be fairly successful, it is important to calibrate carbohydrate intake precisely to avoid serious side effects. Therefore, Elroy and his parents are working closely with a dietician to ensure that he meets his minimum carbohydrate requirements for glucose-requiring tissues, while still limiting carbohydrates enough to prevent seizures, and simultaneously meeting the regular energy requirements for the rest of his body. When Elroy first starts this diet, his glucose levels decrease. What process increases in order to provide energy for glucose-requiring tissues?