The measures of the three angles of a
triangle are given by 2x + 6, x, and 3x.
What is the measure of the largest angle?

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]

Step-by-step explanation:

The angles in a triangle must add to 180 degrees.

We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.

[tex]2x+6+x+3x=180[/tex]

Combine like terms (all terms with an x) on the left side.

[tex](2x+x+3x)+6=180[/tex]

[tex]6x+6=180[/tex]

Now solve for x by isolating the variable.

6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.

[tex]6x+6-6=180-6\\6x=174\\[/tex]

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.

[tex]6x/6=174/6 \\x=29[/tex]

Substitute 29 for x in the angle measures.

2x+6= 2(29)+6=58+6=64x=29 3x= 3(29)=87

The largest angle is 87 degrees.


Related Questions

can someone please help me

Answers

78-27=
51/8.50=6

Answer is 6 friends

Subtract the amount of pizza from total and divide that among 8.50

Please look at picture

Answers

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Answers

Answer:

[tex]22.21\ \text{mph}[/tex]

[tex]22.2\ \text{mph}[/tex]

Step-by-step explanation:

[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]

[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]

[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing

At 25 minutes

[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]

[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]

[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].

At 35 minutes

[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]

[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]

[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].

PLEASE HELPP ASAP!!! (brainly if u help)

A camper on top of a 400 foot cliff is enjoying the view. They look down and see a
bear at an angle 37 degrees. Approximately how far is the bear from the base of the
cliff? (Round your answer to the nearest foot.). REMEMBER THE UNITS

Answers

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation

Answers

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

got it right on a quiz

The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)

Answers

Answer:

17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.

Answer:

The answer is 16,25

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5

Answers

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?


What is the mean and the median

Answers

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Please Hurry!!!!!
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = Is it possible for the height of the box to be 15 inches?

Answers

Answer:

Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.

The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.  Complete the equation that models the volume of the box in terms of its height, x, in inches.  24 x2 -  168 x = 2,880

Is it possible for the height of the box to be 15 inches?  

Yes

Answer:

24 x2 -  168x = 2,880, Yes

Step-by-step explanation:

.

can someone help my lil sis again.

Answers

Answer:

282 + d

Step-by-step explanation:

Number of miles driven by Deandre for week 1 = 282 miles

Number of miles for week 2 = d

Total number of miles driven for two weeks can be expressed as:

(282 + d) miles

Find the product: (6x+5)(2x−7)

Answers

-420 is your answer
your welcome make me the brainliest!!!

What is the solution to the equation 2(x + 3)2 = 98?

Answers

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

What is the arc length of the shaded region of the circle to the newest centimeter?

Answers

l=theta (in radians) x radius
So 28 degrees =7pi/45
Then 7pi/45 x 4 =1.954768762 = 2cm (to nearest cm)

Write a linear function f with f(2)=-2 and f(1)=1

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus
account, however you have not used your account since you set it up and forgot the
number. You remember that the first number was a 4 and the second number was
either a 5, 6, or 7. You had no idea what the last two numbers were.

How many
different combinations are possible?

900 combinations
200 combinations
300 combinations
1200 combinations

Answers

Answer:

Step-by-step explanation:

The first number is one choice: 1

the second number is one of 3: 3

The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10

3*100 = 300

Not too many, but it will take you awhile to run through them.

What is the value of x?

Answers

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

I’ll give you brainleist please just help fast

Answers

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Solve super fast please

Answers

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

21

Step-by-step explanation:

21 because if you put 21 for x, 21+6= 27, and 27 divided by 3 is 9. Ur welcome

What is (x+1) (x+2) in standard form?

Answers

Answer:

x^2+3x+2

Step-by-step explanation:

Answer:

X^2 + 3X+2

Step-by-step explanation:

Multiply x's then multiply x's with the one and 2

then add the 2x + 1x

and  you should get x^2 + 3x +2

I hope that helps

your welcome

help will give brainliest if right

BTW the last answer choice is D. 1

Answers

i think maybe it's A. sorry if that's wrong

Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?

Answers

i don’t understand why people are sending files for answers

Como hago para calcular el porcentaje de unos datos agrupados , porfa ayuda no entiendo. osea tipo : tengo que calcular cual es el porcentaje de personas que trabajan que tienen esta edad 31-46 y pues nose si colocar 3%-4% ay no se estoy perdida porfa si entienden lo q trato de decir me ayudaria resto

Answers

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15

Answers

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]

Answers

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

Line GH passes through points (-6,-30) and (4,-5) . What is the linear equation for line GH?

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). The slope-intercept form of the equation for this line.

Answer:

y=1/4x+2

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1=1/4 (x - 12). The slope intercept form of the equation for this line.

Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?

Answers

Answer:

$15 for 5 cupcakes

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

Answers

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2[tex]\pi[/tex]rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2[tex]\pi[/tex]rh

                         = 2 x [tex]\frac{22}{7}[/tex] x 2 x 14

                         = 2 x 22 x 2 x 7

                         = 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

Other Questions
which of the following is the equivalent to the radical expression below when x> 0 square foot 12x^3 + Square root 6x At the beginning of school you set-up a 4 digit pin to get into your My Payments Plusaccount, however you have not used your account since you set it up and forgot thenumber. You remember that the first number was a 4 and the second number waseither a 5, 6, or 7. You had no idea what the last two numbers were. How manydifferent combinations are possible?900 combinations200 combinations300 combinations1200 combinations Define general banking services offered by financial institutions Line GH passes through points (-6,-30) and (4,-5) . What is the linear equation for line GH? What is (x+1) (x+2) in standard form? Which term describes the complete set of processes carried out by an organism in order to sustain life?v refers to the set of chemical processes carried out by an organism in order to sustain life. in Digestion is a form of activity. Which verb form best completes the sentence?A qu hora _____ usted a mi casa?A. vendrsB. vendrC. vendrnD. vendr what is one reason that manufacturing is declining in austrailia (help-) Please Hurry!!!!!Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = Is it possible for the height of the box to be 15 inches? What does the Constitution reflect of the countrys founders?a. their visionb. their protective powersc. their optimismd. their future planning HELP ME PLEASE DONT MIND THAT ANSWER DIDNT MEAN THE CLICK IT :( Please help me with this question!! Write the energy transformation for what happens when we eat a plant. a teammate tells you that you tend to take over shared projects. you've gotten this feedback from other too. what should you say? A I wish you would have mentioned this during projects. please be sure to do so on the next one. B I'm sorry you're feeling left out, I'll be sure to give you more to do on the next one. C I'm sorry maybe we can work together to divide our responsibility on the next one. D I've gotten this feedback before, I just like things done a certain way. E I'm used to leading projects, so I usually just take over without even realizing it Solve the equation for x. X2 + 10x + 16 = 0 O A. -8,-2 OB. 8,2 OC.-4 OD. 4 14. In order for drugs to be considered therapeutic equivalents, they mustA. have different route of administrationB. be bioequivalent.O C. have different dosage forms.D. contain identical amounts of different active ingredients.Help me please!!!!! Which correctly describes how the graph of the inequality 5x + 2y = 13 is shaded? The selling price of an item is $520. It is marked down by 10%, but this sale price is still marked up from the cost of 360$. Find the markup from cost to sale price. Plz help its due by 1 Find the one of the following sets of side lenghts could represent a right triangle