Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle
C

Answers

Answer 1

Answer:

  m∠C = 72°

Step-by-step explanation:

The sum of the angles in the triangle is 180°.

  A +B +C = 180°

  (2x +11)° +(3x -8)° +(4x -12)° = 180°

  9x = 189 . . . . . . . . divide by °, add 9

  x = 21 . . . . . . . . . divide by 9

Angle C is ...

  (4x -12)° = (4(21) -12)° = 72° . . . . angle C

_____

Additional comment

Angle A is 53°; angle B is 55°.


Related Questions

Describe how to determine the average rate of change between x = 2 and x = 5 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answers

Answer: The average rate of change is 56.

Given that, f(x)=2x^+1

We need to determine the average rate of change between x=2 and x=4 for the function.

DUE TODAY PLZ HELP!!

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.

3x + y = -2

y = 2x + 3

Answers

The solution to the system of equations expressed as a coordinate point is [tex](x.y)=(-1,1)[/tex]

To solve the system

[tex]3x + y = -2\\y = 2x + 3[/tex]

Note that [tex]y[/tex] is already made subject of formula in [tex]y = 2x + 3[/tex]. So substitute the value for [tex]y[/tex] into [tex]3x + y = -2[/tex] to eliminate [tex]y[/tex] and leave us with an equation with [tex]x[/tex]

[tex]3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1[/tex]

Substitute this value of [tex]x[/tex] into [tex]y = 2x + 3[/tex] to get the value of [tex]y[/tex]

[tex]y = 2(-1) + 3\\y=-2+3\\y=1[/tex]

The solutions are [tex]x=-1,y=1[/tex], or expressed as a coordinate point

[tex](x.y)=(-1,1)[/tex]

Learn more about systems of equations here: https://brainly.com/question/16763389

What is the equation of a line that is parallel to y = -2x + 1 and passes through the point (3, -2)?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.

[tex]y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]

Which of the following word phrases describe the expression y + 3?

A.three less than y
B.the sum of y and 3
C.the product of y and 3
D.three more than y

Answers

B. The sum of y and 3

Hope you find this helpful!
Brainliest and a like is much appreciated!

Please help!!!! Will give brainliest!!!!

Answers

Answer:

it is c

Step-by-step explanation:

W/5+20=22. How do I do this

Answers

Answer:

W = 10

Step-by-step explanation:

W / 5 + 20 = 22

W / 5 - 20 = 22 - 20

W / 5 = 2

W * 5 = 2 * 5

W = 10

Step-by-step explanation:

[tex] \frac{w}{5} + 20 = 22 \\ \\ \frac{w}{5 } = 22 - 20 \\ \\ \frac{w}{5} = 2 \\ \\ w = 5 \times 2 \\ \\ w = 10[/tex]

A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow

Answers

Answer:

Probability 29%

Step-by-step explanation:

Answer:

65/139

Step-by-step explanation:

Just did this problem

Hello, good night, can someone help me?

Answers

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls

I believe the answer is b I hope this helps.

Help help help help math ASAP

Answers

Answer:that is 0.01541

Step-by-step explanation:

what do the widths of the bars in an energy pyramid represent?

Answers

Answer:

it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong

The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.

What is a energy pyramid?

It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.

When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.

Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.

Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.

Learn more about the energy pyramid here:

https://brainly.com/question/2515928

solve the sinusoidal equation:


5sin(3x)-1=3

Answers

Answer:

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Step-by-step explanation:

[tex]5sin(3x)-1=3[/tex]

[tex]5sin(3x)=4[/tex]

[tex]sin(3x)=\frac{4}{5}[/tex]

[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Simplify (2x + 5y) + (3x - 2y) ​

Answers

Answer:

5x + 3y

Step-by-step explanation:

Combine Like terms: 2x + 3x = 5x

                                   5x + (5y - 2y) = 3y

                                    Ans: 5x + 3y

                                   

Solve the following systems of linear equations below by elimination or by substitution method. y = 4/3 x - 9
y = x + 3

Answers

Answer:

x=33 and y=36

Step-by-step explanation:

You can rewrite the equation into

x+2=4/3x-9

Now you can subtract 2 on both sides

x=4/3x-11

Now subtract 4/3x on both sides:

-1/3x=-11

Multiply -3 on both sides:

x=33

Now substitute x with 33

y=33+3

y=36

Thus x=33 and y=36

Hope this helps!

You earn $8.45 an hour. How much would you make for a 40-hour week, before taxes are withheld?
giving crown

Answers

Answer:

278.5

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \sqrt{ {x}^{3} } [/tex]

[tex] \sf { ({x}^{3} ) }^{ \frac{1}{2} } [/tex]

[tex] \sf (x ){}^{3 \times \frac{1}{2 }} [/tex]

[tex] \sf{x {}^{ \frac{3}{2} } }[/tex]

Hence, the required power in fractional form is ~

[tex] \sf \frac{3}{2} [/tex]

The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

Which graph represents a linear function? (4 points)

A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.

Answers

Answer:

The second option

Step-by-step explanation:

Linear means a straight line.

Choices 1, 2, and 4 are wrong because they are either a parabola or wavy, and by definition of both of these terms, they are not straight and are therefore not linear.

The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

(5 + 16) = 7 + (4 x 7) =
Bidmass

Answers

Answer:

(5 + 16)=7 + (4 x 7)

Step by step - explanation:

Solve:

Add the numbers

(5 + 16)= 21.

(4 x 7) = 28 + 7 = 35.

So the result is 21 = 35.

Hope that helps. x

Answer:

Step-by-step explanation:

(5+16)=7+(4.7)

(21)=7+(4.7)

21=7+(4.7)

21=7+(28)

21=7+28

21=35

Answer: 21=35

Can y’all please help me with these questions

Answers

Answer:

13. STR

14. VY

Step-by-step explanation:

I hope this helps!

pls help it is math for 7th grade.

Answers

Answer:

36.8   *36 8/10 of 36 4/5

Step-by-step explanation:

2/5x(-1/2)= -2/10

37+(-2/10)=36.8

PLS PLS PLS PLS HELP :D <33

Answers

Answer:

Value of x = 3

m∠HEB=27°

Step-by-step explanation:

1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees

2) Set the two equations added together equal to 90 and solve for x

19x+6+9x=90

28x=84

x=3

3) Plug in x into 9x to get HEB

9(3)=27

Divide using polynomial long division.
2. (x² + 7x +44) = (x +4)

Answers

Answer:

the answer is given in the photo below

Solve the equation. Show your work!
2. 2m + 1.5 = 3m - 11.7

Answers

Answer:

gek

Step-by-step explanation:

Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere

Answers

Answer:

i think D. All of the above would generate a sphere is answer

Please some urgent help!!!!

Answers

Answer:

brain less or i hack ur acc to ban

Step-by-step explanation:

u cant report me because im hacker

The anwser would be 2.
This is because of the blue line in the middle so you only have to count one half

What is the slope of a line that is parallel to the line y = 3/4x + 2?




Answers

Answer:

E

Step-by-step explanation:

1+2+2+1

what is linear spline?​

Answers

9Linear splines

The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.

SOMEBODY HELP NO LINKS PLZ AND THANK YOU

two stores opened on the same day. Both stores have 75 customers by the end of the first week, Store A'S customers doubled each week for six weeks, Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5 ?

A Store A
B Store B
C They have the same number of customers
D Not enough information

show work plz and thank you

Answers

Answer: store b

Step-by-step explanation:

Answer: b

Step by step explanation

Please help to answer the question below

Answers

Answer:

angle 2 and angle 3 are corresponding angles.

Answer:

2 and 3 corresponding, angle 2 and angle 3

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