The measure of the angles of a triangle are in the extended ratio of 3 : 7 : 10. Find the measures of the angles.
A. 27 degrees, 63 degrees, 90 degrees
B. 30 degrees, 60 degrees, 90 degrees
C. 30 degrees, 70 degrees, 100 degrees
D.33 degrees, 77 degrees, 80 degrees

Answers

Answer 1

Answer:

A. 27 degrees, 63 degrees, 90 degrees.

Step-by-step explanation:

Let the angle of the triangle be x

Given the following data;

3 : 7 : 10 = 3x : 7x : 10x

We know that the sum of the sides of a triangle is equal to 180 degrees.

3x + 7x + 10x = 180

20x = 180

x = 180/20

x = 9

For the first side;

3x = 3 × 9 = 27°

For the second side;

7x = 7 × 9 = 63°

For the third side;

10x = 10 × 9 = 90°

Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.

Answer 2

Answer:

The measure of the angles of a triangle are in the extended ratio of 3 : 7 : 10. Find the measures of the angles.

A. 27 degrees, 63 degrees, 90 degrees✓

B. 30 degrees, 60 degrees, 90 degrees

C. 30 degrees, 70 degrees, 100 degrees

D.33 degrees, 77 degrees, 80 degrees

A. is the right answer.

Step-by-step explanation:

Let the required angles of the triangle be 3x, 7x and 10x

According to the above problem,

[tex]3x + 7x + 10x = 180 \\ 20x = 180 \\ x = \frac{180}{20} \\ \boxed{x = 9}[/tex]

Therefore the angles are :---

[tex]3x = 3 \times 9 = 27°✓ \\ 7x = 7 \times 9 = 63°✓ \\ 10x = 10 \times 9 = 90°✓[/tex]


Related Questions

Solve the following system of equation susing the combination method: 3x - 4y = -4 X + 3y = - 10​

Answers

Answer:

x=3

Step-by-step explanation:

Fast because there’s a time limit on this

Answers

It’s a or c I think have a nice day

Answer:

B. 36

Step-by-step explanation:

The pattern is multiplying by 3. You can figure this out by dividing 12 by 4 (which is 3) and 324 by 108 ( which is also 3). Then all you have to do is multiply 12 by 3 which is 36!

I hope this helps, and have a great day! :)

TRUE OR FALSE:

4(6a + 8) = 10a + 12

Answers

Answer: the answer is true

Answer:

This is False for sure

3
y =
+2
What is the slope


Answers

Algebra Example:

Divide each term in 3y=2 3 y = 2 by 3. Cancel the common factor of 3 . Divide y by 1 . Using the slope-intercept form, the slope is 0 .

Finaly Result: 0

Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that it takes 4.82 seconds if it actually takes 5.05 seconds then what is the percent error in Joey's measurement to the nearest 10th of a percent

Answers

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error =   Measured value – True Value /True value  x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

Please can someone help me.

Answers

Answer:

4

Step-by-step explanation:

Answer:

y = 4[tex](2)^{x}[/tex]

Step-by-step explanation:

An exponential function in standard form is

y = a[tex]b^{x}[/tex]

Substitute points from the graph into the equation to find a and b

Using (0, 4 ), then

4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ], so

a = 4

y = 4[tex]b^{x}[/tex]

Using (1, 8 ), then

8 = 4[tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 2

y = 4 [tex](2)^{x}[/tex] ← exponential equation

If a = 2 and b= -1, the expression 3ab2 is equal
to
(1) 6
(2) 12
(3) 36
(4) -12

Answers

Number 4: 12 would be the answer

Morgan was holiday shopping and spent $83 on gifts. She bought 7 candles and spent $6 on lunch for herself. How much did she spend on each candle?

Answers

$11

Step-by-step explanation:

$83 to begin with

-$6 for her lunch

$77 dollars leftover

If she bought 7 candles, each candle has to be $11 bc 77÷7=11

Hope this helped <3

Answer:

she spent 11 dollars on each candle

Step-by-step explanation:

I need help plz ????

Answers

the answer is 128.605 m^2

Help plz and thanks you for helping me

Answers

Answer:

12.5

Step-by-step explanation:

x= 5 when y = 12

y = 30 = 12 x 2.5 (do the same to the other number)

5 x 2.5 = 12.5

Ace C.a.r.l.o.s.


What is the leading coefficient of 3x4 – 4x2 + 12x –18

Answers

Answer:

3

-18

Step-by-step explanation:

A scale of a model of a new building was created for approval by the city. The scale of the model is 3 inches=20 feet. If the model is 5 feet tall, how tall is the actual building?

Answers

Answer:

400 feet

Step-by-step explanation:

real

1 feet = 12 inches

5 feet = 60 inches

scale

3 inches = 20 feet

60 inches=

60/3 = 20

20*20= 400

therefore 5 feet tall equall 400 feet

The actual length of the building will be 400 feet.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The scale of the model is,

⇒ 3 inches = 20 feet

Now,

Since, The scale of the model is,

⇒ 3 inches = 20 feet

And, The model is 5 feet tall.

Since, 1 feet = 12 inches

So, 5 feet = 60 inches

Here, The scale of the model is,

⇒ 3 inches = 20 feet

So, The actual length of the building = 60 × 20/3

                                                         = 400 feet

Thus, The actual length of the building = 400 feet.

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ5

At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-color dogs.
For every 1 brown dog, there are 2 ________? What?

Answers

Answer:

Black dogs

Step-by-step explanation:

The ratio of brown dogs to black dogs is 5:10, which simplifies to 1:2.

Answer:

the answer is black dogs

Step-by-step explanation:

5 is half of 10 and 1 and 2 are related via halfs so if brown dogs are 1 then black dogs are two. hope i helped pls mark me brainliest i just need one more please and thank you

PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?

Answers

Answer: 5

Step-by-step explanation: Sum of Angles = 900'. 6 right angles

= 540', leaving 360', which is impossible.

What is the difference between 10 and 12?

Answers

2why does this need to be 20 letters longi

Answer:

there is 2 spaces between them, and that 10 has 2 factors and 12 has 3 factors.

Step-by-step explanation:

a group buys 6 hot dogs and 3 hamburgers for a total of $27.75. the hamburgers cost $1.75 more than a hot dog. what is he cost of the hamburger

Answers

Answer:

Cost of one hamburger = $4.25

Step-by-step explanation:

Let,

Cost of one hot dog = x

Cost of one hamburger = y

According to given statement;

6x + 3y = 27.75      Eqn 1

y = x + 1.75             Eqn 2

Putting value of y from Eqn 2 in Eqn 1

6x + 3(x+1.75) = 27.75

6x + 3x + 5.25 = 27.75

9x = 27.75 - 5.25

9x = 22.50

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{22.50}{9}\\x=2.50[/tex]

Putting x=2.50 in Eqn 2

y = 2.50 + 1.75

y = 4.25

Hence,

Cost of one hamburger = $4.25

Jill measures some scrap boards in her garage to
see if she has enough to make a border around her
garden. She needs 10 meters total. The boards
measure 2.75 meters, 3.2 meters, 1.65 meters, and 2.6
meters. Does Jill have enough?

Answers

Answer: Yes, Jill has enough scrap boards to create a border around her garden.

Step-by-step explanation:

2.75 + 3.2 + 1.65 + 2.6 = 10.2 m

Answer:

Yes

Step-by-step explanation:

If you add all of them together, they make 10.2, which is enough

I GIVE BRAINLIEST AND 20 POINTS. please someone solve me these. Explain how and it would be better wth a pic.​ thank u.

Answers

Answer:

A = 12

B = 0

r = 2

Step-by-step explanation:

A) √121 + 3/5 + 2/5 = 11 + 1 = 12

B) √100 - 3 -7 =  10 - 3 - 7 = 0

r) 1/2 - 1/2 + √4 = 2

Jill brought 6 1 3 boxes of carrot muffins for a bake sale. Mike brought 1 3 4 boxes of apple muffins.

Answers

Answer: 8 1/12

Step-by-step explanation:

The remainder of the question is:

What is the total number of boxes of apple Jill and Mike brought to the bake sale?

This will be the addition of both fractions which will be:

= 6 1/3 + 1 3/4

The LCM of 3 and 4 is 12

= 6 4/12 + 1 9/12

= 7 13/12

= 8 1/12

3x(x − 2) + 2 x=6
i really need help

Answers

This equation if finding x would be 88

The weights of 5 adult Chihuahuas recorded by a
veterinarian are listed below. What is the median weight
of the Chihuahuas?
2,850 g, 1,880 g, 1,530 g, 1,920 g, 2,850 g
A 2,850 g
B 1,920 g
c 2,206 g
D
1,530 g

Answers

Answer:

B. 1, 920

Step-by-step explanation:

To get the median, you order from lowest to highest.

So;

1, 530  ,  1,880  ,  1,920  ,  2,850  ,  2,850

Then you find the middle ground / the number in the middle. Since it's odd, all we have to do is look at the number directly in the middle. So the answer is B. 1, 920.

Simplify the following expression
Simplifying expressions
8th grade math
Algebra 1

Can someone explain why
(-5k^2m)(2km)^4(3km^4)^2
——————————————
k^2m^3
Simplifies to -720k^6m^10

But 3m/m^4 simplifies to 3/m^2
Even though their both fractions how come only one stays a fraction? What’s the difference so I can figure out in the future?

Answers

Answer:

1. [tex]\frac{(-5k^{2}m)(2km)^{4} (3km^{4}) ^{2}}{k^{2}m^{3}}[/tex] = -720[tex]k^{6}m^{10}[/tex]

2. [tex]\frac{3m}{m^{4} }[/tex] = [tex]\frac{3}{m^{3} }[/tex] (or 3[tex]m^{-3}[/tex])

Step-by-step explanation:

1. The given expression is:

[tex]\frac{(-5k^{2}m)(2km)^{4} (3km^{4}) ^{2}}{k^{2}m^{3}}[/tex]

With respect to the principle of exponential, we have;

[tex]\frac{(-5k^{2}m)(2^{4}k^{4} m^{4})(3^{2}k^{2}m^{8})}{k^{2} m^{3} }[/tex]  = [tex]\frac{(-5k^{2}m)(16k^{4} m^{4})(9k^{2}m^{8} }{k^{2}m^{3} }[/tex]

 Applying the law of indices,              

= [tex]\frac{(-5*16*9)(k^{2+4+2})(m^{1+4+8}) }{k^{2} m^{3} }[/tex]

= [tex]\frac{-720k^{8} m^{13} }{k^{2}m^{3} }[/tex]

= -720[tex]k^{8}m^{13}[/tex] x [tex]k^{-2} m^{-3}[/tex]

= -720[tex]k^{8-2} m^{13-3}[/tex]

= -720[tex]k^{6}m^{10}[/tex]

2. [tex]\frac{3m}{m^{4} }[/tex]

divide the numerator and denominator with common factor m,

= [tex]\frac{3}{m^{3} }[/tex]

This can not be simplified further since there are no more common factors, so that;

[tex]\frac{3m}{m^{4} }[/tex] = [tex]\frac{3}{m^{3} }[/tex] (or 3[tex]m^{-3}[/tex])

The Montoya family and the Cooper family are seeing a movie together in the theater. At the concession stand, Mr. Montoya paid $20 for 3 large popcorns and 1 large drink that his family will share. Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30. How much does each item cost?

Answers

Answer:

Both items cost $5 each

Step-by-step explanation:

Given data

let popcorn be x

and drink be y

Mr. Montoya paid $20 for 3 large popcorns and 1 large drink

so

3x+y= 20-------------1

and

Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30

so

3x+3y= 30----------------2

solve 1 and 2 above

3x+y= 20

y= 20-3x

put y= 20-3x in eqn 2

3x+3(20-3x)= 30

3x+60-9x= 30

collect like terms

3x-9x= 30-60

-6x= -30

x= 30/6

x= $5

put x= 5 in y= 20-3x

y= 20-3*5

y= 20-15

y= $5

Mr. Daniels is organizing a class trip on a budget of $900. The bus rental costs $600. Mr. Daniels will also buy tickets that cost $9.50 per student.
Which inequality represents the number of students, s, that can go on the trip?
A 9.55 s 600
B. 9.55 s 300
C. 9.55 s 900
D. 9.55 s 1,500
HeLP ASAP

Answers

Answer:

Mr.Daniels is a fajjett

Step-by-step explanation:

The answer is A my dude.

Use the space below to explain how you know if the statement is correct or incorrect:
Andy has been saving his pocket money. He began the month with $44 and ended with $110.
He said the end of the month amount was 250% of his original amount.

Answers

Answer:

Yes, it is correct.

Step-by-step explanation:

Word Version: Andy is correct, forty-five dollars multiplied by two-hundred-fifty percent is equal to one-hundred-ten dollars.

Number version: Andy is correct, $44 x 250% = $110

✧brainliest appreciated✧

SOMEONE HELP ASAP PLEASE

Answers

Answer:3/4

Step-by-step explanation:

21 lizards: 35 frogs

Answers

Answer:

To simplify the ratio, you can put it into a fraction and divide both the numerator and the denominator

Both numbers can be divided by 7

21/7= 3

35/7= 5

3 lizards: 5 frogs

Step-by-step explanation:

Hope this helps!

BTW...if y'all have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤

Lyla is ordering pizza for a party. She can get 3 large pizzas for $26. At this
rate, what will 12 large pizzas cost?

Answers

Answer:$104

Step-by-step explanation:

About 104$ for 12 pizzas

a vendor buys lemons at 25 rupees Per dosan and sells them at rate of 5 for 12 rupees find his gain or loss percent​

Answers

Answer:

25/12

Step-by-step explanation:

4 times the sum of 34 and 8​

Answers

Answer: 168

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

34+8=42

42x4=168

Other Questions
What opportunities, if any, did the Declaration of Independence provide to minorities? Plz no hate i need help plz dont mind it saying english its a diffrent sub that they dont have Round 19 and 17 to the nearest tenth What is the acceleration of a car going 50 mph that slows down to rest over 10 seconds? Imagine this. There are glowing lights all around a ship in the middle of the ocean. An 18th-century sailorwould most likely think that a monster was surrounding the shipready to ingest it and all the people onboard. Today, we know that the lights come from the phosphorescent glow of jellyfish. Although swarms of jellyfish can be beautiful, they can also be a central part of an ecological disaster in the making.For an animal that has does not have a brain, a heart, or blood, jellyfish have a negative impact in many places in the world. Normally, jellyfish travel in groups called swarms. When these swarms multiply and their numbers grow out of control, they are called blooms. Some species of jellyfish can release up to 40,000 eggs daily! Its no wonder that these swarms could turn into blooms.In the Black Sea, blooms of Mnemiopsis jellyfish are responsible for millions of dollars in losses for the local fishery industries who catch and sell anchovies. These blooms of jellyfish eat the larvae and eggs of these local fish leaving the fishermen without fish and without a way to make a living.Today, there is an unlikely hero in the Black Sea. A different species of jellyfish called the Bereo jellyfish found its way into the Black Sea. This species eats the Mnemiopsis jellyfish. The Bereo are creating a more balanced ecosystem. Although this has saved the Black Sea, scientists are wary about using the Bereo in other seas. We are thinking about using the Bereo in other areas, but we are concerned. There is a real fear of negative ecological consequences from introducing new species."Science data shows that over the past few years there has been an increase in swarms of jellyfish, said Steve Hay, a plankton ecologist. Fisheries are not the only industry affected by these swarms. In the past few years, seawater filled with jellyfish clogged the filters of nuclear power plants in Japan, Israel and Scotland. The plants were shut down after the blooms clogged the cooling water filters (intake pipes).The Sea of Japan is filled with jellyfish and is disturbing the ecology and clogging our power plants, stated a local high school student. We decided to cook the jellyfish and make a caramel candy. These students from Fisheries High School in Japan are hoping that their unique solution to the problem will help to save the Sea of Japan from the jellyfish takeover. They hope they can sell the candy and save the sea.In addition, jellyfish blooms can even affect the political stability of a country. A power plant in the Philippines was shut off after the system was clogged by jellyfish. Thousands people were without electricity. The Philippine citizens were so upset that there was nearly a political upheaval in the country. What can be done about these all these disruptions?Jellyfish occur naturally in nature. It is not clear why these blooms occur. It is important that scientists and industries continue to study jellyfish blooms closely in order to avoid these far-reaching problems.(someone please do the chart with this article) A blueprint of a house shows a wall that is 5 inches long. If the blue pretty strong to a scale of 1:60, what is the actual width of the wall in the house Senator ___ proposed policies to improve the national economy know as the American System graph of a function is alone that passes through the points (0,1) and (3,10) write an equation in the form y=Mx+b. For this function Both the U.S. Constitution and the Texas Constitution act to protect individual rights by Which number is a factor of the prime factorization of 601. 62. 153. 94. 3 can someone tell what's the definition of civil rights which ones are equalivilent to 2.510/-410/4-10/-4-5/-2-5/25/2 Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:2,020 22mWhat does the second term of the expression represent? The number of months Megan will wait to sell the gadget The original value of the gadget The monthly depreciation value of the gadget The total depreciation value of the gadgetplease explain for brainliest Emily cuts two circles from a sheet of colored paper measuring 8" x 12". One circlehad a radius of 3 inches and the other had a diameter of 5 inches. How many squareinches of paper are left over? Is it possible to cut another circle with a 3 inch radius fromthe paper? If the 3 inch circle fits what is the largest circle (What is its radius) you candraw that will still fit on your paper. The age of Mughals was cultural metaphors of the India: poetry, miniature painting, music, dancing, clothing and culinary taste etc. reached on its peak. However, its foundation has been already laid by Delhi Sultans. Between Delhi Sultanate and Mughals, which period you think was more cultured and elegant? Give your opinion with valid arguments. The major source of energy in the United States:natural gas coal oil nuclear renewables If a CFOC was launched and travels 65 meters and is in the air for 3 seconds, what is the launch velocity and angle? Bonita Corporation purchased a truck at the beginning of 2020 for $54,500. The truck is estimated to have a salvage value of $2,180 and a useful life of 174,400 miles. It was driven 25,070 miles in 2020 and 33,790 miles in 2021. Compute depreciation expense using the units-of-production method for 2020 and 2021. Throughout our lives, we may be asked to do things we do not want to do. Tell about a time when this happened to you. pls help ASAPwill marking brainliest Take gravitational constant g = 10 m/s2.1) The work function for calcium is 2.9 ev. If we shine on the surface made of calcium with alight of 420 nm wavelength, answer the following questions:a) Find the energy of the incident photon.b) Is this energy enough for an electron to leave the atom and if so what is itsmaximum energy?