The angles of a triangle are described as follows: Angle A is the largest angle; it's measure is twice the measure of Angle B. The measure of Angle C is 10 more than one-third of Angle B. Find the measures of angle B?

Answers

Answer 1

Answer:

[tex]\bold{\angle B = 51^\circ}[/tex]

Step-by-step explanation:

Given a [tex]\triangle ABC[/tex] such that [tex]\angle A[/tex] is the largest.

[tex]\angle A[/tex] is equal twice of [tex]\angle B[/tex]

[tex]\angle C[/tex] is 10 more than one third of [tex]\angle B[/tex]

To find:

Measurement of [tex]\angle B[/tex].

Solution:

Let [tex]\angle B =x^\circ[/tex]

As per question statement:

[tex]\angle A = 2\times \angle B=2x^\circ[/tex]

[tex]\angle C = \dfrac{1}{3}\angle B +10= \dfrac{1}{3}x +10 ^\circ[/tex]

Using the angle sum property of a triangle i.e. sum of all the three internal angles is equal to [tex]180^\circ[/tex].

[tex]2x+x+\dfrac{1}{3}x+10 = 180\\\Rightarrow \dfrac{10}{3}x =170\\\Rightarrow x = 51^\circ[/tex]

Therefore, the answer is:

[tex]\bold{\angle B = 51^\circ}[/tex]


Related Questions

A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x.

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Answer:

114 degree

Step-by-step explanation:

Can someone help me?

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Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

a recipe calls for 3 parts water to 1 part milk. how much milk will you need if you use 12 mL of water?

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Answer:

3mL

Step-by-step explanation:

Graph the linear function d(x)=−1/2x−3.

Answers

Answer:

Step-by-step explanation:

The required graph of the given function d(x)=−1/2x−3 has been shown.

Given that, to plot the graph of the linear function,  d(x)=−1/2x−3.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.
At x = 0
d(0) = -1/2 * (0) - 3
d(0) = -3
So, the ordered pair will be (0, -3).
Now, put x = 2
d(2) = -1/2 * 2 - 3
d(2) = -1 - 3
d(2) = - 4
So the ordered pair will be (2, -4)
joining these two points will show the graph of the given equation d(x)=−1/2x−3.


Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.

Learn more about graphs here:

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Read the proof.

A 2-column table with 3 rows. Column 1 has entries 1, 2, 3. Column 2 is labeled Step with entries sine (2 x) = sine (x + x), question mark, sine (2 x) = 2 sine (x) cosine (x).

What is step 2?

A. sin(2x) = cos(x)cos(x) – sin(x)sin(x)
B. sin(2x) = sin(x)cos(x) – sin(x)cos(x)
C. sin(2x) = cos(x)cos(x) + sin(x)sin(x)
D. sin(2x) = sin(x)cos(x) + sin(x)cos(x)

Answers

Answer:

D

Step-by-step explanation:

The answer is D on Edge 2020

The missing step in the table is  sin(2x) = sin(x)cos(x) + sin(x)cos(x), the correct option is D.

What is a Trigonometric Ratios?

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

The step 1 in the table is

sin (2x) = sin (x+x)

The step 3 is

sin (2x) = 2 sine (x) cosine (x)

The step 2 is obtained by the trigonometric identity

sin (x+y) = sinx cosy + cosx siny

So,

sin (x+x) = sinxcosx+sinx cosx

sin (2x) =  sin(x)cos(x) + sin(x)cos(x)

To know more about Trigonometric Ratios

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factor 147a^2b-675b^3

Answers

Answer:Factor the polynomial

3(a−4b)2

5) through: (2, 4) and (4.-5)​

Answers

I think this is what you are asking for.

FIRST ONE GETS BRAINLEYST FREE IF CORRECT!!


Which of these statements uses transitional words to connect ideas?
A. Many states have more than one national park. Florida has the Everglades and the Dry Tortugas.
B. Arizona has a very famous national park. It is called the Grand Canyon. It is famous and draws visitors from all over the world.
C. The beautiful, lush Hawaiian islands are the home of two of the world’s most active volcanoes.
D. South Dakota's Badlands are home to a lot of wildlife, including bison, bighorn sheep, and swift foxes.

Answers

Answer:

D

Step-by-step explanation:

I had this on my quiz and said it was right. Hope this helps!

What is the value of the expression

3/5 (x-8) - y

When x=15 and y=1/10

A 11/10
B 21/10
C 31/10
D 41/10

Answers

Answer:

D 41/10

Step-by-step explanation:

substitute the values given into the equation. Calculate.

Answer:

D: 41/10

Step-by-step explanation:

Please help will give thank, brainliest, and 5 stars!

Answers

Answer:

Correct

Step-by-step explanation:

Answer:

your right its 19000

Step-by-step explanation:

Please help me out!!!!!

Answers

Given:

The zeros of the polynomial are [tex]-2,\pm 5,4[/tex].

Degree = 4

Leading coefficient  = 1

To find:

The polynomial.

Solution:

If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.

Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.

[tex]p(x)=(x+2)(x-4)(x+5)(x-5)[/tex]

[tex]p(x)=(x^2-4x+2x-8)(x^2-5^2)[/tex]     [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]p(x)=(x^2-2x-8)(x^2-25)[/tex]

Using distributive property, we get

[tex]p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)[/tex]

[tex]p(x)=x^4-25x^2-2x^3+50x-8x^2+200[/tex]

On combining like terms, we get

[tex]p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200[/tex]

[tex]p(x)=x^4-2x^3-33x^2+50x+200[/tex]

Here, the leading coefficient is 1. So, it is the required polynomial.

Therefore, the correct option is E.

Please help on what you can !

Answers

Step-by-step explanation:

Number of books : 4        6       8      10

Total Price :          $10     $15   $20  $25

Hope this helps!     :3

plz mark as brainliest!

find the values
using
expansion formula
1) 1.5×2.5​

Answers

Answer:

[tex]3.75[/tex]

Step-by-step explanation:

[tex]1.5 \times2. 5 \\ = 3.75[/tex]

Please can I have the brainliest?

Have a nice day!

Paras starts math class at 10:30 AM. She finishes her math class at 11:15 AM
How long is paras in the math class

Answers

Answer:

1 hr 15 mins

Step-by-step explanation:

Answer

45

Step-by-step explanation:

30+15=45

The sum of two numbers is 11 and their difference is 5

Answers

Answer:

3 and 8

Step-by-step explanation:

3 + 8 = 11

8 - 3 = 5

A graph for 2x − 5y = −10

Answers

Answer:

Step-by-step explanation:

A new backpack costs $45.00 plus 7.4% for sales tax. Find the amount of tax you would have to pat for the backpack.

Answers

Answer:

$48.33

Step-by-step explanation:

1. Find the amount of the sales tax by multiplying the tax percentage by the sales price.

$45 × 7.4% = $3.33

2. Add the amount of the sales tax back to the sales price.

$45.00+$3.33 = $48.33

PLEASE I NEED HELP!!!!!!!! BRAINLIEST AND POINTS!!!!!

Answers

Step-by-step explanation:

[tex] {a }^{2} + {b }^{2} \: = {c }^{2} \\ {10}^{2} + {26}^{2} = {c}^{2} \\ 100 \: + \: 676 \: = \: {c}^{2} \\ 776 \: = {c}^{2} \\ c \: = 27.9[/tex]

HELP AGAINNNNNNNNNPLSPLS

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:



What is the x-intercept of the line containing the points (-6, 10) and (12,-2)

Answers

Answer: x = 9 is the x-intercept. Step-by-step explanation: We have given the coordinates (-6,10) and (12,-2).

need some help (Geo)​

Answers

Answer:

A 60

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

there are 2 ways to solve this...

1st, y=60 by the vertical angles theorem

2nd, x=120 by the linear pair postulate (x + 60 = 180)

next, y=60 because y + 120 = 180

Car sales increased steadily from March to August *
True
False

Answers

Answer:

i think it is true

Step-by-step explanation:

mark me as brainliest and follow and like my answer

Answer:

False

Step-by-step explanation:

Car sales increased steadily from

May to July

As you can see I have pointed the months with red dots

Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?

Answers

Answer:

23.75

Step-by-step explanation:

Given that:

Brian's age = 27

Age of Chris is 17 more than one - fourth of Brian's age.

To find:

Age of Chris = ?

Solution:

Let age of Chris = [tex]x[/tex]

One - fourth of Brian's age =  [tex]\frac{27}{4}[/tex]

17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17

Therefore, we can write the equation as per question statement:

[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]

Therefore, Chris is 23.75 years old if Brian is 27.

what does (2,12) represent

Answers

Answer:

An ordered pair

Step-by-step explanation:

Sam and liam raced each other up and down the hill. Sam's avrage speed up hill was 1 mph, and his avrage speed down hill is 9 mph. Liam ran up and down the hill with the same speed 2 mph.If the path from the bottom of the hill is 1 mile long, how much time did it take the boys to finish-and who is the winner?

Answers

Answer:

a. i. 1.11 h ii. 1 h. b. Liam

Step-by-step explanation:

a.

i. Sam's time

We know distance d = vt where v = speed and t = time.

Since our distance here is the length of the path, d = 1 mile.

For Sam, his speed up the hill is v = 1 mph, so, the time it takes him to go uphill is t = d/v = 1 mi/1 mph = 1 h.

He goes down hill at a speed of v = 9 mph, so the time it takes him to go down hill is t = d/v = 1 mi/9 mph = 1/9 h = 0.11 h

So, the total time it takes him to complete the trip is t = 1 h + 0.11 h = 1.11 h

ii. Liam's time

For Liam, his speed both uphill and downhill is v = 2 mph, so, the time it takes to cover each trip is t = d/v = 1 mi/2 mph = 0.5 h.

So for both uphill and downhill trip, the total time is t' = 2 × 0.5 h = 1 h

b. Since Liam's time t' = 1 h < Sam's time t = 1.11 h, that is t' = 1h < t = 1.11 h, Liam is the winner.

Please help The sum of two numbers is 36 and the difference is 6. What are the numbers?

Answers

Answer:

15 and 21

Step-by-step explanation:

Answer:

15 and 21

Step-by-step explanation:


(3,-8), (3, 2), (6, -1), (2, 2)) (-6, 3), (2,-2), (0, 8), (1, 1))

Answers

Answer:

yeet

Step-by-step explanation:

yeet

A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, andher running speed,in miles per hour,when she runs at a constant speed of 5.4miles per hour for m minutes,and then at be miles per hour for n minutes

Answers

Answer:

The answer is below

Step-by-step explanation:

A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes

Solution:

Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.

Hence:

m + n = 30

60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.

The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time

The total distance ran (D) is:

D = 5.4(m/60) + b(n/60)

Suppose a skydiver (mass = 80 kg) is falling toward the Earth. Calculate the skydiver’s Gravitational Potential Energy at the point when the skydiver is 100 m above the Earth.

Thanks ahead of time!

Answers

Step-by-step explanation:

Gravitational potential energy = mgh = (80)(9.81)(100) = 78,480J.

Answer this Question plz and thank you and don’t forget to explain your answer because that’s what I need

Answers

Answer:

decrease

12%

Step-by-step explanation:

the number went down

3.499*0.88=3.097

so 12% decrease in price

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