The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles

Answers

Answer 1

Answer:

1st ∡ = 15.5°

2nd ∡ = 77.25°

3rd ∡ = 87.25°

Step-by-step explanation:

1st ∡:  x

2nd ∡:  y

3rd ∡:  z

Equations we can create from data given in problem:

y + z = 5x

z = 5x + 10

We have enough expressions to create an equation:

x + 5x + 5x + 10 = 180

11x = 170

x = 15.5

y = 5(15.5) = 77.25

z = y + 10 = 87.25

Answer 2

Answer:

30 70 80 Trust

Step-by-step explanation:


Related Questions

(2a+b)² -(3a+4b)(2a+7b)​

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-2a^2 - 25ab - 27b^2

hope this helps :)

Help me ASAP!!!!! I’ll give anyone 5 stars for the correct answer .

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the correct answer is B, 17 :)

Answer:

The answer to the math problem is 17

I NEED HELP PLZZZZZZZZ!!!!

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Answer:

C

Step-by-step explanation:

The correct answer is C

3. Emi buys 15 baskets of strawberries to share with her class.
Each basket has 12 strawberries. How many strawberries does
she have to share with the class?

Answers

Answer:

15x12=180 good luck

Step-by-step explanation:

15x12=180

Bill buys a large can of paint. The size of the can is measured in which unit?

Answers

Answer:

Barometer i think im not sure

Step-by-step explanation:

Pressure is a mechanical (non-electrical and non-magnetic) measure. All mechanical measures can be derived from just three basic mechanical units. Which three we use is actually arbitrary. This means that using three we can produce or define all other mechanical measures by multiplying or dividing some combination of the chosen three.

Most measuring systems use time, length, and mass as the basic three in which case pressure would be mass / (time * time * length * length). Compare that with kilogram per (meter*meter * second*second) which is also called a Pascal.

Another measuring system might use time, length, and force as the three basic measures. Here mass is omitted in place of force. Nothing is lost because mass and force can be written in terms of the other with the help of time and length. In this case pressure would be force / (length*length). Compare this with Newton per meter*meter which also defines a Pascal.

How pressure is measured in practice is another good question. The standard method is to use some device that employs a medium to compare the unknown pressure to some known familiar pressure. Mercury tubes illustrate this nicely and are still used in laboratories. They work because mercury is a very dense fluid. A lighter fluid can push upon and move a column of mercury but cannot pass through it.

Measuring the movement of mercury when a known pressure is applied to one end reveals the pressure at the other end. The persistence of millimeters of mercury (mmHg) as a unit for reporting pressure is testament to this method. Other pressure gages work by employing something like springs or strain sensors calibrated to mimic the readings that a mercury tube would report.

Select all situations that are are accurately described by the expression 15*35.

A. A population begins at 15,000. The population triples each hour.How many bacteria are there after 5 hours?

B. A population begins at 15,000. The population triples each hour.How many thousand bacteria are there after 5 hours?

C. A population begins at 15,000. The population triples each hour.How many thousand bacteria are there after 3 hours?

D. A bank account balance is $15. The account balance triples each year. What is the bank account balance,in dollars,after 5 years?

E. A bank account balance is $15,000.It grows by 3,000 each year. What is the bank account balance,in thousands of dollars,after 5 years?

Answers

Answer:

If the total truly is 15 x 35 = 525

None of the situations work

Step-by-step explanation:

The correct situations that are are accurately described by the expression 15 × 3⁵ is,

D. A bank account balance is $15. The account balance triples each year. What is the bank account balance ,in dollars, after 5 years?

What is Multiplication?

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 expression is,

⇒ 15 × 3⁵

Hence, By option D;

The situation is,

A bank account balance is $15. The account balance triples each year. What is the bank account balance ,in dollars, after 5 years?

Hence, We can formulate;

⇒ Amount after 5 years is,

⇒ 15 × 3⁵

Thus, The correct situations that are are accurately described by the expression 15 × 3⁵ is,

D. A bank account balance is $15. The account balance triples each year. What is the bank account balance ,in dollars, after 5 years?

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5- Sam rode 5 kilometers in his car. His sister Pam rode 4000 meters in her car.
Who rode the farthest? (answer in km) *

Answers

Answer:

sam rode further because 5 kilometers is 5000 metres and pam rode 4000 metre therefore sam rode 1kilometres further

Step-by-step explanation:

1km= 1000metres

pleaseee help asaaap its one little easy question plzzzz I would appreciate it and I give brainliest ^^!!

Answers

Answer:

B) Corresponding Lines

Step-by-step explanation:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

(Hope this helps)

Yours Truely, TheAnimeCatUwU

PLEASE HELP! SO Confused
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree.

Answers

Answer:

12.73 Degrees

Step-by-step explanation:

I'm going to assume some things. The height of the truck is not changing, i.e. the distance and length of the ramp are but the height stays the same.

We draw our right triangle, see photo*

We really only care about finding out what side a is so

[tex]c = \frac{a}{sin(A)} \\12 = \frac{a}{sin(36)} \\12sin(36) = a\\a = 7.05342302750\\sin(x) = (\frac{opp}{hyp} )\\sin(x) = (\frac{7.05342302750}{12} )\\= 35.9999 \:degrees[/tex]

So, since I stated that height did not change, the same process just using 32 for the hypotenuse.

[tex]sin(x) = (\frac{opp}{hyp} )\\sin(x) = (\frac{7.05342302750}{32} )\\= 12.73367164 \:degrees[/tex]

How many 1/9's in 31

Answers

There are a total of 279 1/9s in 31.

What is simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To find out how many 1/9's are in 31, you can divide 31 by 1/9.

This can be simplified by converting the division of a fraction to multiplication with its reciprocal:

31 ÷ (1/9) = 31 × (9/1)

Simplifying the expression on the right side gives:

31 × 9 = 279

So there are 279, 1/9's in 31.

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What’s the answer to:

2x+2 + 4x-4

Answers

6x-2. Which can be simplified to (3x-1) by taking a common factor, 2.

Answer: 6x-2

Step-by-step explanation:

The answer is 6x-2

Sadie is going to invest in an account paying an interest rate of 3.1% compounded
annually. How much would Sadie need to invest, to the nearest hundred dollars, for
the value of the account to reach $1,030 in 16 years?

Answers

Answer:

600

Step-by-step explanation:

math

Please help meeeeeeeeeeeeeeeee

Answers

Answer:

y = -1

Step-by-step explanation:

IM GIVING 20 POINTS AWAY PLEASE HELP ME WITH QUESTIONS 2-4 AND EXPLAIN HOW YOU GOT YOUR ANSWER PLEASE!!!!!

Answers

Answer:

2:(90) 4:B

Step-by-step explanation:

so what you do for 2 is that you times all the number thann  you get youar ansmwer and for 4 you times 6 time 10 and thime 24 you get your answer

A sailboat’s sail has three sides that are all the same length. Each side measures x−10 units. The sail’s perimeter is 63 units.
What is the value of x?

x=?

I'm giving 60 points so if one of you each answer you guys get 30 legit only no scams and the person that gets it right gets brainliest

Answers

Answer:

x = 31

Step-by-step explanation:

Triangle with same sides given.Each side = x - 10 units

Perimeter is the sum of the side lengths.

Substitute and solve for x:

3(x - 10) = 63x - 10 = 21x = 31

My favorite Pokemon card has a mass of about one and a half
_____
grams
kilograms
millimeters
or inches

Answers

Answer:

grams cause its is really small

HELP I AM SO STUCK!!! WILL GIVE BRAINLIEST!!!Choose the graph below that represents the following system of inequalities: (1 point) y ≥ −3x + 1 y ≤ 1 over 2 x + 3 Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.

Answers

Answer:

I dont know honestly

Step-by-step explanation:

Do you have like a picture you can show me of the problem

Write a cubic function whose graph passes through the points.
4. (-1,0), (2,0), (3,0), (0,9)

Help ASAP

Answers

Answer:

(0,9) (-1,0), (2,0), (3,0),

Step-by-step explanation:

add me on discord LD BrxzyYT#8144 :)

Until recently, Carrie owned 1,300 acres of farmland. This year, she sold the old land and purchased a new plot that is 1,391 acres in size. What is the percent of increase in the amount of land that Carrie owns now?

Answers

Answer:

she got 91 more acres of land

Step-by-step explanation:

all you have to do is see that there was 1,300 and now she owns 1,391 it adds 91 more acres of land hope this helps mark me as brainlist:)

Bashir find some nickels and pennies under the couch cushions how much (money in dollars) does he have if he has 120 nickels and 60 pennies?How much money (in dollars dose he have if he has x nickles and y pennies?​

Answers

Answer:

Step-by-step explanation:

A playground slide has a price of $770. With sales tax, it will cost $847. What is the sales tax percentage?

Answers

Answer:

10%

Step-by-step explanation:

divide 770 from 847 u get 1.1 , that 1 whole is the 770 and the .1 is the tax. .1 from 770 is 77 so 770+77=847

What is 1/5 multiplied by 3

Answers

Answer:

.6 or 3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

1/5 times 3 is the same thing as 1/5 times 3/1.

To multiply, you have to multiply 1 times 3 = 3

and 5 times 1 which = 1.

your answer is 3/5

How to work out this 0.25 x 16 + 4

Answers

Answer:

8

Step-by-step explanation:

0.25*16 = 4

Add on 4 so 4+4 = 8

someone help me please please i need help right now

Answers

Answer:

It's or because of the circumference and pi are related to one another, therefore there has to be the r and since square 2 times and then yes. also because and then.

Step-by-step explanation:

Answer:

the circumfence is C=31.4

Step-by-step explanation:

Because c=2πr so, 2(3.14)5, then 2(5) would equal 10 and 10(3.14) equals 31.4

b. Subtract-2 from each side of the inequality. Write a true
inequality statements .

Answers

Step-by-step explanation: (2+2)x4+I+I=

WILL GIVE BRAINLIEST

Use the following information to find the test statistic of the sample used to test the claim that daily rainfall amounts in the northeastern United States are less than 0.13 inches.
n = 45, x = 0.10 in., s = 0.26 in.
t = –8.263

t = –0.774

t = –2.580

t = –0.395

Answers

Using the t-distribution, the test statistic is given as follows: t = -0.774.

What is the test statistic of a t-distribution test hypothesis?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the tested value.s is the standard deviation of the sample.n is the sample size.

The values of the parameters for this problem are:

[tex]\overline{x} = 0.1, \mu = 0.13, s = 0.26, n = 45[/tex]

Hence the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.1 - 0.13}{\frac{0.26}{\sqrt{45}}}[/tex]

t = -0.774.

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(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​

Answers

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' [tex]\neq[/tex]x''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

______________

As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

Please help me I’ll give you a thanks :-)

Answers

Answer:

... sorry

Step-by-step explanation:

...

What will be the value of his account in 5 years if he does not make any additional deposits or withdrawals?​

Answers

Answer: The guy that answered this question is right

If Wyatt initially invests an amount of $1200 for 4 years at a simple interest of 6.2% and then the amount from that is invested for 5 years at a simple interest of 8%, the new account balance at the end is 2096.64 dollars.

Therefore the answer is $2096.64

What is simple interest?

The amount when invested an initial amount of P for n years at annual simple interest rate of r is given by

A = P + Pnr

here, we have,

As Wyatt invest an amount of $1200 at 6.2% simple interest, at the end of 4 years he will have an amount equal to

A = 1200 + 1200×4×0.062

A = 1497.6

Now as Wyatt invest an amount of $1497.6 at 8% simple interest, at the end of 5 years he will have an amount equal to

A = 1497.6 + 1497.6×5×0.08

A = 2096.64

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what is 36 divided by 6 equals blank sold 36000 divided by 6 equals ​

Answers

Answer: Quotient of 36 and 6 will be 6. Since, 36/6 = 6 with remainder 0.Therefore, the answer to what divided by 2 equals 36 is 72. You can prove this by taking 72 and dividing it by 2, and you will see that the answer is 36. Tip: For future reference, when you are presented with a problem like "What divided by 2 equals 36?", all you have to do is multiply the two known numbers together.hope this helps have a awesome day/night❤️✨

Step-by-step explanation:

The correct calculations show that 36 divided by 6 equals 6, and 36000 divided by 6 equals 6000.

When we divide 36 by 6, the quotient is 6. Therefore, 36 divided by 6 equals 6.

Similarly, when we divide 36000 by 6, the quotient is 6000. Therefore, 36000 divided by 6 equals 6000.

To calculate these divisions, we divide the dividend (36 and 36000) by the divisor (6) to find the quotient.

In the case of 36 divided by 6, we have 36 ÷ 6 = 6.

For 36000 divided by 6, we have 36000 ÷ 6 = 6000.

Hence, the correct calculations show that 36 divided by 6 equals 6, and 36000 divided by 6 equals 6000.

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