in AABC, the measure of angle A=x degree, the measure of angle B=(2x)degrees, and the measure of angle C=(6x+18)degrees. What is the measure of angle B?

In AABC, The Measure Of Angle A=x Degree, The Measure Of Angle B=(2x)degrees, And The Measure Of Angle

Answers

Answer 1

Answer:

m<B: 36

Step-by-step explanation:

x + 2x + 6x + 18 = 180

9x + 18 = 180

9x = 162

x = 18

m<B:

2x

2(18)

36

Answer 2

Answer:

m<B=36°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

That means the sum of m<A+m<B+m<C=180°

We're given that:

m<A=x°

m<B=(2x)°

m<C=(6x+18)°

we can substitute those values as m<A, m<B, and m<C

x+2x+6x+18=180

combine like terms

9x+18=180

subtract 18 from both sides

9x=162

divide by 9

x=18°

we found the value of x, but we're not done yet

The question asks to find m<B, which is 2x°

in that case, we can substitute our known value to find the measure of <B

m<B=2x°

m<B=2(18)°

m<B=36°


Related Questions

If you were to make $9.00 per hour and worked 36 hours over the past
two weeks

Answers

Answer:  I think its 324

Step-by-step explanation: $9.00 X 36 = 324

in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19

Answers

Answer:

b) 13

Step-by-step explanation:

67 - 55 = 12

55 - 46 = 9

46 - 34 = 12

34 - 25 = 9

25 - x = 12

rearrange that so,

25 - 12 = x

x = 13

Answer:

b) 13

Step-by-step explanation:

67 - 12 = 55

55 - 9 = 46

46 - 12 = 34

34 - 9 = 25

pattern: subtract 12, subtract 9

the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:

25 - 12 = 13

EFGH is translated 5 units to the left and 2 units up.
y
-1 1 2 3 4 5 6 7 8 x
-1
E4,-1)
-2
FO, -3)
H6, -2)
-3
-4
G(2, 4)
-5
8
-7

A. E(-1,1)

B. E(6,-6)

C. E (-1,-3)

D. E(9,-3)

Answers

The correct answer will be C: E(-1,1)one has to be negative because of it going to the left so it will have to be the first one

The original price of a bicycle was $375. Now it is on sale for $295. What percentage of the original price was the markdown?

Answers

Answer: $80

Step-by-step explanation:

Answer:

The percentage of the original price that was discounted is 21.33%

Step-by-step explanation:

The original price of a bicycle was $375. Now it is on sale for $295.

The discounted price of a product is calculated as the percentage of discount that you want to apply multiplied by the price of the product. This is the amount of money that is discounted. But to calculate the sale price, the original price of the product must be subtracted minus the discounted quantity.

So, this expressed in this case is:

375-x*375=295

The value of x is the discount that you want to calculate expressed in decimal number. This result will then be multiplied by 100 to obtain the discount expressed as a percentage.

Isolating the value of x you get:

-x*375=295-375

-x*375=-80

x=(-80)÷(-375)

x=0.2133

As a percentage, it is 0.2133*100= 21.33%

The percentage of the original price that was discounted is 21.33%

What is the median of 5,2,9,21,12,3

Answers

Answer: 7

Step-by-step explanation:

First order the numbers by least to greatest

2, 3, 5, 9, 12, 21

Then find the number inbetween

In this case it's a tie between 5 and 9.

Find the average of those two numbers

The average is 5+9/2 = 7

Median is 7

We want to find the zeros of this polynomial:
p(3) = (x + 2)(2x - 3)(3-3)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph

Answers

it’s -2 , 3/2 , and 3

Which solution for P makes the equation true?

Answers

Answer:

8

Step-by-step explanation:

12.50(8) =100 +20 = 120

Answer:

p=8

Step-by-step explanation:

First we have to try all of the options to see if it is right

12.50(8)+20=120

(12.50*8)+20=120

100+20=120

120=120

Yay! The first one was right!

19. Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north
of Dave. To the nearest mile, how far is it from Sally's house to Dave's
house.
Jenny
O A) 2.65 mi.
O B) 5 mi
O C) 7 mi
D) 25 mi

Answers

Answer:

The answer is seven miles

The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north of Dave.

Distance is

c²=3²+4²

c²=9+16

c²=25

c=5 miles

The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.

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HELP WITH QUESTION 1 PLEASE! I’ll give you brilliance

Answers

Answer:

Step-by-step explanation:

A is 10

B is 13

C is [tex]\sqrt{43.65}[/tex]

D is [tex]\sqrt{74}[/tex]

what is 2 copies of 1/6

Answers

1/6 + 1/6 = 2/6
2/6=1/3

from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building​

Answers

Answer:

c 33ft .....

Step-by-step explanation:

c is correct

The possible height of the building is 33 ft.

What is Angle of Elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Here, Let the height of the building be x ft

           Base = 12ft.

          Angle of Elevation = 70⁰

Now, tan α = perp. / base

         tan 70⁰ = x/12

         2.74 = x/12

          x = 12 X 2.75

          x = 33

Thus, the possible height of the building is 33 ft.

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Mutiple choice (needed 20 characters)

Answers

The answer is the C=10p

what is the best description pf addititon property of equality

Answers

Addition Property of Equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Pls Help!!!!! I will pick the brainiest answer as well. ;)

Answers

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Is the number 0.1875 rational or irrational

Answers

rational...............

The coordinates for a rectangle are 3,6 3,-6 -7,6 what is the perimeter

Answers

Answer:

Perimeter of the rectangle = 44 units

Step-by-step explanation:

Let the coordinates given are the vertices A(-7, 6), B(3, 6), and C(3, -6) of the rectangle.

Since, opposite sides of a rectangle are equal in length,

Fourth vertex of the rectangle will be D(-7, -6)

Length of AB = 3 - (-7) = 10 units

Length of BC = 6 - (-6) = 12 units

Length of CD = 3 - (-7) = 10 units

Length of AD = 6 - (-6) = 12 units

Therefore, perimeter of the rectangle = 2(Length + width)

                                                               = 2(12 + 10)

                                                               = 44 units

what is the solution to the system of equations below? y=-3x-9 and y=1/3x-39

a. (9, -36)
b. (9,0)
c. (-9, 18)
d. (-9, -42)​

Answers

Answer:

Step-by-step explanation:

Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?

Answers

Answer:

It's the point in where they intersect or cross.

HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO

Answers

Answer:

40 students

10 teachers

Step-by-step explanation:

32 + 8 = 40

5 + 5 = 10

Hope this helps!! ♥︎

15.00 + 1.75x = 7.50 + 2.25

Answers

I believe it’s X=+15 sorry if I’m wrong

Does the point (4, 1) lie on the line y = 3x + 1 ?​

Answers

Answer:

no

Step-by-step explanation:

To determine if the point lies on the line, substitute x = 4 into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.

y = 3(4) + 1 = 12 + 1 = 13 ≠ 1

Thus (4, 1) does not lie on the line

Replace x in the equation with the x value of the point and solve for y. If Y equals the y value of the point then the point lies on the line.

y = 3x + 1

y =3(4) +1 = 12 +1 = 13

y = 13, this does not equal the y value of the point which is 1, so point (4,1) does not lie on the line.

I need help this has been missing for about a month I'll give brain list​

Answers

Answer: Combination 2,3,4 (going down)

Step-by-step explanation:

These are the equations

1. 3.97(5)+5.25=25.1 this is (10 cents over cant buy)

2. 2.75(7)+2.4(2)= 24.05 (good)

3. 5.25(2)+2.4(6)= 24.9 (good)

4. 3.97(3)+2.75(4)= 22.91 (good)

5. 5.25(2)+2.75(6)= 27 (two dollars over cant buy)

please I need someone to help my assignment​

Answers

Answer: x = 10

Step-by-step explanation:

The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

In this case, we have:

A = (x - 4)

B = (x - 2)

H = x

Then we have the equation:

(x - 4)^2 + (x - 2)^2 = x^2

Now we need to solve this for x, first let's simplify it.

(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2

2*x^2 - 12*x + 20 = x^2

2*x^2 - 12*x + 20 - x^2 = 0

x^2 - 12*x + 20 = 0

The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Then the solutions for our equation are:

[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]

Then the two possible solutions are:

x = (12 - 8)/2 = 4/2 = 2

Notice that if x = 2, then the length of the catheti will be:

A = 2 - 4 = -2

B = 2 - 2 = 0

This has no sense, so we can discard this solution.

The other solution for x is:

x = (12 + 8)/2 = 10

x = 10

Then:

H = 10

A = 10 - 4 = 6

B = 10 - 2 = 8

This solution makes sense, then x = 10.

what is the median test score?
a)2.5

b)2

c)3

d)5

Answers

Answer: The answer I got was A) 2.5

Step-by-step explanation:

Hope this Helps!!!

Ok first of all fort nite is you know second I did some calculations its not five so the thing I cant find out is what 5.5  rounded is so what ever 5.5 rounded to is your answer so if you find out what 5.5 is rounded to youll have your answer! I hope this helps

Function f is defined by the equation f (x) = 10x + 2. What is the value of f (2)?

Answers

Answer:

f(2) = 22

Step-by-step explanation:

To find f(#), plug the number into each x of the equation.

f(x) = 10x + 2

f(2) = 10(2) + 2

Simplify the parentheses by multiplying.

f(2) = 20 + 2

Add.

f(2) = 22

Hope this helps!

Carmena and Alicia go to the supply store to purchase packs of
pens and paper. Carmen bought 5 packs of paper and 3 packs
of pens for $36.60. Alicia bought 6 packd of paper and 6
packs of pens for $53.40. What is the price of one pack of
paper and one pack of pens?

Answers

Pens Are 4:95

Paper is 3:95

The prices for both the things are $4.95 and $3.95 respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

Given that,

The price for  5 packs of paper and 3 packs of pens is  $36.60.

And, for 6 packs of paper and 6 packs of pens is  $53.40.

Suppose the price of one paper pack be x and of pens be y.

Then, the given case can be written in terms of equation as,

5x + 3y = 36.60         (1)

6x + 6y = 53.40         (2)

Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,

2(6x + 6y) - 4(5x + 3y) =  2 × 53.40 - 4 × 36.60  

=> 12x - 20x = 106.80 - 146.40

=> -8x = -39.60

=> x = 4.95

Substitute x = 4.95 in equation (2) to get,

6 × 4.95 + 6y = 53.40

=> 6y = 53.40 - 29.70

=> y = 23.70/6

       = 3.95

Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.

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Bonnie deposits $70.00 into a new savings account.
• The account earns 4.5% simple interest per year.
• No money is added or removed from the savings account for 3 years.
What is the total amount of money in her savings account at the end of the 3 years?

A. $9.45
B. $79.45
C. $94.50
D. $164.50

Answers

Answer:

B. $79.45

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.

I = (70)(0.045)(3)

I = 9.45

70 + 9.45 = $79.45

Please let me know if you have questions.

No need for an explanation it is option

Answers

Answer:

152

Step-by-step explanation:

Trick question,

4x + 52 + 28 = 180

Then

You subtract 180 and 28 to get 152

A wall 4 ft. high casts a 6 ft. shadow, while a tree casts a 24 ft. shadow How tall is the tree ?

Answers

file link above thiss

Here is my question again:

Answers

Answer:

[tex] \sqrt[2]{3} [/tex]

[tex] \sqrt[4]{3} [/tex]

Step-by-step explanation:

A garden is in a shape of an equilateral triangle with side 4 ft.

The objective is to find the area of the garden.

The formula to find the area of the triangle is, A= 1/2• b • h

Here, b represents the side of the triangle and h represents and h represents the height of the triangle.

The height of an equilateral triangle can be calculated by,

H = /3/2 • b

= /3/2 • 4

=

[tex] \sqrt[2]{3} [/tex]

Now substitute the value of b and h in the formula of area of triangle.

A = 1/2 • 4 •

[tex] \sqrt[2]{3} [/tex]

=

[tex] \sqrt[4]{3} [/tex]

ft²

Answer:

4 and [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Base of the triangle is:

b = 4

Height of the triangle:

h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]

Area is:

A = 1/2* 4* [tex]2\sqrt{3}[/tex]
Other Questions
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1Traditionally, why did Maori men wear Ta moko? (Site 1) PLZ HELP ILL GIVE BRAINLINSTThe women's-rights movement in the United States was first started by women whoGroup of answer choicesfaced economic discrimination in the workplacehad experience in other social-reform movementswere important figures in the Second Great Awakeninghad an impact on the outbreak of the Revolutionary War Perry Investments bought 2,000 shares of Able, Inc. common stock on January 1, 20X1, for $20,000 and 2,000 shares of Baker, Inc. common stock on July 1, 20X1 for $24,000. Baker paid $2,400 of previously declared dividends to Perry on December 31, 20X1. At the end of 20X1, the fair value of the Able stock was $18,000 and the fair value of the Baker stock was $28,000. The stocks were purchased for short-term speculation prior to the effective date of the change in accounting rules for equity investments. Perry owns 10% of each company.Perry should record the receipt of the Baker dividend as:______a. DR Cash 2,400 CR Investment in Baker 2,400b. DR Cash 240 CR Dividend income 240c. DR Cash 2,400 CR Dividends receivable 2,400d. DR Dividends receivable 2,400 CR Dividend income 2,400 Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book A beta particle emitter is Cobalt - 60. Cobalt - 60 decays to Nickel in an exited state.Then gamma rays are emitted to bring Nickel to its ground state.Discuss how you would use a Beta-particle source to investigate the penetration limits of beta-particles in the laboratory.Which of these two sources, strontium-90 or cobalt-60, would be more suitable touse for the penetration experiment above. Justify your answer. The command center of the nervous system is the ______________________ . I need help please. Help meeeee hurryyyy List two reasons why someone looking at a career in the Energy cluster might want to focus on new technology, such as energy-efficient products or sustainable energy. Give two examples of careers that may work with these new energy technologies. materials used in front office In a chemical reaction, there is more matter in the reactants than in the products true or false Ecological succession usually includes changes in all of the following EXCEPT-A. The number of different kinds of plantsB. The number of plants of any one speciesC. The overall size of the dominant plantsD. The rate at which species produce offspring Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your workWill give points!!! The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the bid?207,216,225,234 What is one social issue that is important to you and explain why it's important to you Find the coordinates of the point (a, b).a = ?(0, 1)0 12(a, b)O v2O v22.1(-1,0)45DONE(1,0)b= ?1O v2O v22.2(0, -1) Heres a picture of it In towns and cities today, the burial of cremated remains has replaced full body burial for reasons of space and cost. The immediate family members of the deceased keep themselves in their houses. The minute the neighborhood gather near the family home to make the items required for the funeral, including paper flags containing prayers, paper processional lanterns, and he wouldnt candlestick. The women prepare the food required for the feast, given before the burial. One woman of the neighborhood has a special honor of sewing a white pilgrims club that will shroud the body for its journey to the land of the dead. Meanwhile, the man who will be pallbearers take a grave in the cemetery. On completing the task, the family members wash their hands and salt water. This is the traditional funeral ritual of which religion?? Triangle ABC is similar to triangle DEF. What is the value of x in centimeters?A. 17 cmB. 16.5 cmC. 15.4 cmD. 18 cm I'm having trouble with this question?what is the author's purpose in the above passage, and how does she achieve it though her organization and choice of detail? king Arthur and Guinevere.