The ratio of the measures of the three angles of a triangle is 4:5:9. Find the measure of the largest angle of the triangle.

Answers

Answer 1

Answer:

[tex]90^{\circ}[/tex]

Step-by-step explanation:

The interior angles of all triangles sum up to [tex]180^{\circ}[/tex]. Therefore, we can write the following equation:

[tex]4x+5x+9x=180[/tex], where [tex]x[/tex] is some constant.

Combining like terms, we have [tex]18x=180,\: x=10[/tex].

Therefore, the angles of this triangle are [tex]4(10)=40^{\circ}, \: 5(10)=50^{\circ}, \: 9(10)=90^{\circ}[/tex], the largest of them being [tex]\fbox{$90^{\circ}$}[/tex].


Related Questions

Susan purchased a prepaid phone card for $15. Long distance calls cost 14 cents a minute using this card. Susan used her card only once to make a long distance call. If the remaining credit on her card is $9.26, how many minutes did her call last?

Answers

Answer:

41 minutes

Step-by-step explanation:

Step one:

given data

Susan purchased a prepaid phone card for $15

let the number of minutes be x

and let the total be y

per minute call cost = 14 cents = $0.14 per minute

Hence the expression for the situation is given as

y= 15-0.14x

Step two:

given that the balance after a call is 9.26

9.26=15-0.14x

solve for x

9.26-15= -0.14x

5.74=0.14x

divide both sides by 0.14

x=5.74/0.14

x=41 minutes

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?

Answers

Answer:

a. 311 hours

b. i. $3,100 in receipts  

   ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

= 311 hours

b. In 311 hours, the total receipts would be:

= 311 * 10

= $3,110

The expenses would be:

= 311 * 9

= $2,799

if y=4x+5 what is the slope of the line

Answers

Answer:

4

Step-by-step explanation:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

In this case, check what number replaces the variable for slope, m:

y = mx + b

y = 4x + 5

In this case:

y = y

m = 4

x = x

b = 5

Therefore, 4 is your answer.

~

Hii!

___________________________________________________________

Answer:

Below is all the information you need! ^^

Step-by-step explanation:

Note that the equation that is given to us is in slope intercept form.

The slope intercept formula is y=mx+c, in which.

m=slope

c=y intercept

In the equation y=mx+c, the slope is m.

Similarly, in the equation y=4x+5, the slope is 4.

--

Hope that this helped! Best wishes.

--

Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)

Answers

Answer:627.072

Step-by-step explanation:

Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks. °ω°

Answers

Answer:

D ( not 100 percent) hear me out time is constant and I think the constant has to be on the bottom

Step-by-step explanation:

It’s between c and d for me hope this gets you a lil further ahead

Зr — Зу = — 18
9x — 6y= — 48
Please help!

Answers

Answer:

The answer should be (-4,2)

Step-by-step explanation:

Giving brainliest!!!???

Answers

Answer:

B.

Step-by-step explanation:

Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.

I hope this helps :)

solve the inequality for u.​

Answers

Answer:

u ≤ 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

32 ≥ 4u

Step 2: Solve for u

Divide both sides by 4:                     8 ≥ uRewrite:                                              u ≤ 8

Here we see that any value u smaller than or equal to 8 would work as a solution to the inequality.

De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?

Answers

Answer:

53 caramelos

Step-by-step explanation:

El número total de caramelos en el frasco = 180 caramelos

Para Laura

Laura se ha comido la décima parte de un frasco

1/10 × 180 caramelos = 18 caramelos

Por Marta

Marta una novena

1/9 × 180 = 20 caramelos

Por Cristina

Cristina una quinta.

1/5 × 180 = 36 caramelos.

De lo que queda, Juan se ha comido la mitad.

La cantidad de caramelos que quedan se calcula como:

180 - (18 + 20 + 36)

= 180 - 74

La cantidad de caramelos que quedan = 106 caramelos

Para juan

De lo que queda, Juan se ha comido la mitad.

= 1/2 × 106

= 53 caramelos

¿Cuántos dulces quedan?

= 106 caramelos - 53 caramelos

= 53 caramelos

Por tanto, quedan 53 caramelos.

I need answers to these please number them.

Answers

1.) 37

2.) -16

3.) 11

4.) 1

Step-by-step explanation:

A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?

Answers

Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation:

direct and inverse variation

Answers

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

Evaluate the expression for the given value of x.

4.5 − 1.5 for = 3

Answers

There is no x? Can’t help because information is missing

Answer:

Either 0, 12, or 9 (Possibly)

Step-by-step explanation:

I'm assuming that you forgot to put the x next to 4.5 or 1.5 or that you forgot to put x next to both of them and that =3 means x=3

Case 1 (4.5x - 1.5x, x = 3):

You can simplify this expression because both of the units are the same (x). 4.5x - 1.5x = 3x. Next, you have to plug in 3, which would be 3 * 3 which is 9.

Case 2 (4.5x - 1.5, x = 3):

Plug in 3 and you would get 13.5 (4.5 * 3) - 1.5, which is equal to 12.

Case 3 (4.5 - 1.5x, x = 3):

Plug in 3 and you would get 4.5 - 4.5 (1.5 * 3), and since they are the same, it is equal to 0.

If none of these are the answer or you are asking something else, feel free to comment on this answer

-Hope this helped-

Helppp pleaseeeeee Brainly

Answers

Answer:

1. 4

2. 16

3. 8

Step-by-step explanation:

1. 4^2 / 2^2

4^2 = 16

2^2 = 4

16/4 = 4

2. (8- 4) x 4

8 - 4 = 4

4 x 4 = 16

3. 2^2 + 2^2

2^2 = 4

2^2 = 4

4 + 4 = 8

Hope I helped!

Answer:

[tex]\frac{4^{2} }{2^{2} } = 4[/tex]

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

[tex]2^{2} +2^{2}[/tex] = 8

Step-by-step explanation:

[tex]\frac{4^{2} }{2^{2} } = 4[/tex] because [tex]4^{2} = 16[/tex] and [tex]2^{2}[/tex] = 4. 16/4 is the same as 4.

(8 - 4) x 4 = (4) x 4 = 16. This is the same as [tex]4^{2}[/tex].

[tex]2^{2} +2^{2}[/tex] is the same as 4 + 4, which is 8.

Hope it helps!

determnine if each table shown below represents a function or not.

Answers

                                                 Table 1

Input (x)               1            3           5            5              9

Output (y)             7           16          19          20           28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 1, it is clear that:

Each input or x-value of the X set has a unique y-value or output of the Y set. There is no duplicated input (repeated x value).

Therefore, Table 1 represents a function.

                                                Table 2

Input (x)               0.5          7           7            12            15

Output (y)             7           15          10          23           30

 

We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 2, it is clear that:

There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.

As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.

Therefore,  Table 2 does not represent a function.

What expression represents the value of y?​

Answers

The expression that represents the solution of y is y = √wz

How to determine the value of y?

The triangle represents the given parameter

Also, we can see that the figure combines two right-angled triangles is

By the theorem of the right-angled triangle

w : y = y : z

Express the above ratio as a fraction

So, we have the following equation

w / y = y / z

Cross multiply in the above equation

So, we have

y² = wz

Take the square roots

y = √wz

Hence, the solution of y is y = √wz

Read more about right-angled triangle at

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answer for brainlist

Answers

Answer:

Y intercept is (0,5), The slope is 5

Step-by-step explanation:

y = slope x + y-intercept

A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?

Answers

Answer:

Ok, so the discount is given in a percentage, in this case 10%.  The sale price is going to reflect 10% of the original price minus the discount, so...

Sale $ = original$ - original $ x .10

If we use some algebra, we can reorganize the equation to solve for the original price...

Sale $ = original$ - original $ x .10

Sale $ = original$ (1 - .10)

Sale $ = original$ x .90

original$ = sale$/.90

So now we can plug in our values

original price = 50/.90

original price = 55.55555 = $55.55 to the nearest nickel

Help me out please an thank you

Answers

This answer is the third choice, C

The triangle shown is an equilateral triangle. An equilateral triangle has sides lengths a. What is the area of the equilateral triangle with the length of each side equal to a? One-half a sine (60 degrees) 3 a sine (60 degrees) One-half a squared sine (60 degrees) a squared sine (60 degrees)

Answers

Answer: its C

Step-by-step explanation:

The area of an equilateral triangle can be written as a squared sine (60 degrees) thus Option D is correct.

What is an equilateral triangle?

The triangle in which all three sides are of the same length. In this the all angles are the same 60°.

The area of a triangle can be calculated by,

A = 1/2 x b x h..................1

Where,A - Area of triangle

b - base

h - height

From, Pythagoras Theorem

a² = h² + (a/2)²

h² = a² - (a/2)²

Put the value of “h” in equation 1

A = 1/2 x b x h

A = 1/2 x √[a² - (a/2)²] x h

A =  √3/4 a²

Since √3/4 = sin 60°.

So, the area of an equilateral triangle as a squared sine (60 degrees).

Learn more about the equilateral triangle;

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HELP ME PLEASE!! ASAP THANK YOU

Answers

Answer:

the third and fourth one

Step-by-step explanation:

Answer:

the equations that have the solution n= 9 are the 3rd and 4th ones..

The sum of -5, -9, and 10 is _____.

4
-4
-14
14

Answers

Answer:

-4

Step-by-step explanation:

In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

33.9

Step-by-step explanation:

What function uses the OPPOSITE and the ADJACENT?

tanR=  

adjacent /opposite

​  

=  

70/ 47

tanR=  

70 /47

R=tan  

−1

(  70 /47  )

​  

 

At the gates of the zoo there is a 15 ft. tall statue that casts a shadow 18 ft. long. If the adult elephant in the exhibit is 10 ft. tall then how long is its shadow?

Answers

Answer: 12 ft long
Explanation: Let’s assume the scale factor is 1.2 multiply 10 by 1.2 and that equals 12 ft

If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.

Answers

260


143 divided by .55=260
117 divided by .45=260
260 times .45=117
260 times .55=143

Select the correct answer.

Simplify.

Answers

Answer:

is it m-9?

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

solve algebraically for all values of x[tex]\sqrt{x-4} +x=6[/tex]

Answers

Answer:

x=5

sqrt of 5-4=1

then 1 +x(5)=6

The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.

To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:

Start with the given equation: (√x - 4) + x = 6.

Begin by isolating the square root term on one side of the equation. Subtract x from both sides:

(√x - 4) + x - x = 6 - x

√x - 4 = 6 - x

Move the constant term to the right side by adding 4 to both sides:

√x - 4 + 4 = 6 - x + 4

√x = 10 - x

Square both sides of the equation to eliminate the square root:

(√x)² = (10 - x)²

x = (10 - x)²

x = (10 - x)(10 - x)

x = 100 - 10x - 10x + x²

x = 100 - 20x + x²

Rearrange the equation to form a quadratic equation:

x² - 21x + 100 = 0

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:

(x - 4)(x - 25) = 0

Set each factor equal to zero and solve for x:

x - 4 = 0 or x - 25 = 0

Solving for x in each case:

x = 4 or x = 25

Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.


To know more about equation:

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What is the area of a 3/4 yards and 5/6 yard rectangle?

Answers

Answer: 15/24

Step-by-step explanation:

A x B = 5/6 x 3/4 = 15/24

-18v^2 + 23v^2 =
Please show work

Answers

-18v^2 + 23v^2 =

In order to find the solution to this problem we are gonna add like terms.

-18v^2 + 23v^2
= 5v^2

A negative plus a positive results to a positive

Help Please ! =(
Find the measures of the interior angles of the triangle.

Answers

x= 86
So, 86-35 which is 51.
A= 86 and C=51
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