What are the values of the two angles?

What Are The Values Of The Two Angles?

Answers

Answer 1

Answer:

the angle 3x is 42 degrees, the angle 12x-30=138 degrees

Step-by-step explanation:

first, write an equation to represent the problem.

3x+(12x-30)=180

3x+12x=210

15x=210

x=14

Answer 2

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.

Theory

There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.

In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.

Now that we know that we can solve the problem.

Solving

So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.

Since we know this, we can state the following equation:

[tex]3x+12x-30=180[/tex]

We can say this due to the rule of Supplementary angles adding up to 180 degrees.

We can now use Algebra to simplify the equation:

[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]

After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.

[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]

We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.

Cheers!


Related Questions

(☞╹◡╹)☞ Enjoy ☜(╹◡╹☜)

Answers

Step-by-step explanation:

hey.....

how are uh

Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures

Answers

Answer:

american sign language (ASL)

cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started​

Answers

Answer:

4:30

Explanation:

Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30

 WILLL GIVE 100 points
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .

The points of the polygon =(3,3) (0,3) (6,-6) (9,6)

Image attached of the polygon

Answers

Answer:

The image of the dilated polygon is attached below

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).

Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at ​(0, 0)​, the new vertices is at:

A'(0,0), B'(1, 1) and C'(-1, 1)

The graph of the polygon is attached.

What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.

Answers

Answer:

13

Step-by-step explanation:

13÷8=96r3 आओऋअःनबभसजहलव

The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let the required dividend would be x

The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question

As per the given question, the solution would be as:

⇒ x ÷ 8 = 96 r3

⇒ x  + 3 = 96 × 8

⇒ x + 3 = 768

⇒ x = 768 - 3

⇒ x = 765

Therefore, the required dividend would be 765.

Learn more about the quotient here:

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PLEASE ANSWER QUICK AND SHOW WORK

Miss Johnson borrow $8,300 to buy a car. She agreed to a
4% interest rate and payments for 5 years.
How much will her interest be?
What is her total debt for buying the car?

Answers

Answer:

Interest: $402.20

Total Debt owed: $9,302.00

Step 1: Multiply the principal (the original amount borrowed) by the interest rate (%):  

$8,300 x 4% = 360.00 (interest for one year)

Step 2: Find out how many years she will be paying back the loan and add that number of years to the first payment year ($360). ($360 + 5years = 365 total payments) Then multiply the total number of payments by the interest rate ($365 x .04 = $14.60 interest per payment).

Step 3: Add up all the yearly interests ($14.60 per payment x 12 months = $181.20 yearly interest)

Step 4: Add the yearly interest to the total debt owed.  

$9,302 + $181.20 = $9,483.20 total debt

Total amount owing after 5 years = $8,300+($365 x .04 interest rate per payment for 60 months)=10,605.00 dollars owed in 5 years of payments. Interest owed is 10,605 x .04=$410.20 for a grand total of 10,915.20 dollars owed overall for this 4% loan which was paid back over a period of five years with twelve monthly payments per year at four percent interest rate per month ($410.20/12=$34.02).

What is the value of x in the equation ?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

This is our equation

[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]

First off we can distribute the 2.5 and the 4

Now our equation is [tex]15x-10=10+6+2x[/tex]

subtract [tex]2x[/tex] from both sides

[tex]13x-10=16[/tex]

add [tex]10[/tex] to both sides

[tex]13x=26[/tex]

Divide both sides by [tex]13[/tex]

[tex]x=2[/tex]

can someone please do this? nit the mini task though, number 8

Answers

1 is C

2 is D

3 is C

4 is A

5 is D

5 is A

7 is B

Please help with this question.

Answers

Answer:

x=52º

Step-by-step explanation:

A triangle's angles are equal to 180º.

Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.

66+62+x=180

Add 66 and 62.

128+x=180

Subtract 128 from both sides of the equation.

x=52

Angle x is equal to 52º.

Hope this helps :)

The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12cm , find the diameter of the ball

Answers

Answer:

D=12 cm

Step-by-step explanation:

please check the image for the answer. Thank you .

Please help me with this math problem!! :)

Answers

Step-by-step explanation:

the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.

so,

y² + 7 = 32

y² = 25

y = 5

2y² = k

2×5² = k

50 = k

the opposite angle of 150 is also 150 degrees.

the opposite angle of x is also x.

so, we have as sum of angles

360 = 150 + 150 + x + x = 300 + 2x

60 = 2x

x = 30 degrees

100 POINTS

Given Point P(3,4), what is the resulting point after the following transformations?

Translate 3 up and 2 left
Rotation 180° around origin
Reflection over y-axis

Answers

Answer:

(1, -7)

Step-by-step explanation:

P(3,4)

3 up ---> y = 4 + 3 = 7

2 left ----> x = 3 - 2 = 1

new point (1, 7)

after 180 rotation around origin

point is (-1, -7)

now reflection over y-axis

(1, -7)

Answer:

[tex](1,-7)[/tex]

Step-by-step explanation:

Refer to the image below

A toy rocket is launched from the ground, the equation

h= -16t^2+ 80t, models the height of the rocket h in feet at any timet

in seconds.

For which interval of time will the rocket be higher than 64 feet off the

ground?

Answers

Answer:

Step-by-step explanation:

We can graph the function and determine the points where the y value line is greater than 64 feet.  We could also solve the equation for h = 64.

Graphing:

A graph is attached.  The intersections of the line at height = 64 feet are at (1,64) and (4,64).  The first is going up and the second coming down.  The period of time the rocket is above 64 feet is from 1 to 4 seconds.

Solving:

h= -16t^2+ 80t

64 = -16t^2+ 80t

-16t^2+ 80t - 64 = 0

Solve using the quadratic formula:

We get two answers:  1 and 4 (seconds)

What are complex integers ?

Answers

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

Which coin does Jeff have the most of in his collection?

nickel
penny
dime

Answers

Answer:

dimes

Step-by-step explanation:

Answer: dimes

Step-by-step explanation:

se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?

Answers

se necesitarían 14 días para construir la casa

can i have help on this q plz

Answers

Answer:

14.8

Step-by-step explanation:

7.4 * 2 = 14.8.

hope this helps

Answer:

54.76[tex]cm^{2}[/tex]

Step-by-step explanation:

The area of a shape is base times height. bh

Since this is a square, all of the sides are the same length. Meaning 7.4*7.4 to make 54.76cm^2.

Complete the following proof. Given: (BD) is the perpendicular bisector of (AC) Prove: ∢A≅∢C
Statement Reason
1. (BD) is the perpendicular bisector of (AC) 1. Given
2. Point B is the midpoint of (AC) 2. Definition of perpendicular bisector
3. 3. Definition of midpoint
4. ∢ABD and ∢CBD are right angles 4. Definition of perpendicular bisector
5. ∢ABD and ∢CBD are congruent 5. All right angles are congruent.
6. 6. Reflexive property of congruence
7. 7.
8. ∡A≅∡C 8.

Answers

Answer:

I dont know if this is right but... i tried XD

Step-by-step explanation:

Angle A is congruent to angle C.

What is Triangle?

A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.

If XYZ is a triangle, it is represented as ΔXYZ

Here, it is given that BD is the perpendicular bisector of AC.

Then by the definition of perpendicular bisector, B is the midpoint of AC.

Consider ΔABD and  ΔCBD

ΔABD and  ΔCBD are right triangles with  ∡ABD =  ∡CBD = 90°.

So,  ∡ABD ≅  ∡CBD   (∵ all right angles are congruent)

Now, by the reflexive property of congruence, every side or angles are congruent to itself.

So BD ≅ BD

Since B is the midpoint of AC, AB = BC.

Hence AB ≅ BC

By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.

Hence ΔABD ≅ ΔCBD

So, Angle A is congruent to angle C.

Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.

To learn more about congruence of triangles, click:

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the atomic number of arsenic is 33. what is the electron configuration of an arsenic atom

Answers

1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3


At the craft store, Patty bought a bag of yellow and brown marbles. The bag contained 85
marbles, and 60% of them were yellow. How many yellow marbles did Patty receive?

Answers

Answer:

51 yellow marbles

Step-by-step explanation:

60% of 85 can be found by multiplying 85 and 0.6 to get 51

Answer:

i got 51 marbles! simple.

The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building.
Combined, there are 199 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the
number of bathrooms and fireplaces by 68. The difference between the number of fireplaces and elevators is
23. If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47. Determin
the number of rooms, bathrooms, fireplaces, and elevators in the building.

Answers

Using a system of equations, it is found that there are:

132 rooms.38 bathrooms.26 fireplaces.3 elevators.

For the system, we have that:

The number of rooms is x.The number of bathrooms is y.The number of fireplaces is z.The number of elevators is w.

Combined, there are 199 rooms, hence:

[tex]x + y + z + w = 199[/tex]

The number of rooms exceeds the  number of bathrooms and fireplaces by 68, hence:

[tex]x = y + z + 68[/tex]

The difference between the number of fireplaces and elevators is  23, hence:

[tex]z - w = 23[/tex]

If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:

[tex]2y = z + w + 47[/tex]

Replacing the third equation into the fourth:

[tex]z = 23 + w[/tex]

[tex]2y = z + w + 47[/tex]

[tex]2y = 23 + w + w + 47[/tex]

[tex]2y = 2w + 70[/tex]

[tex]y = w + 35[/tex]

Then, from the second equation:

[tex]x = y + z + 68[/tex]

[tex]y + z = x - 68[/tex]

We can solve for w, considering that:

[tex]y = w + 35[/tex]

[tex]z = 23 + w[/tex]

[tex]y + z = x - 68[/tex]

[tex]x = y + z + 68[/tex]

[tex]x = w + 35 + w + 23 + 68[/tex]

[tex]x = 2w + 126[/tex]

[tex]x + y + z + w = 199[/tex]

[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]

[tex]5w + 184 = 199[/tex]

[tex]5w = 15[/tex]

[tex]w = \frac{15}{5}[/tex]

[tex]w = 3[/tex]

Then, solving for the other variables:

[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]

[tex]y = w + 35 = 3 + 35 = 38[/tex]

[tex]z = 23 + w = 23 + 3 = 26[/tex]

There are:

132 rooms.38 bathrooms.26 fireplaces.3 elevators.

A similar problem is given at https://brainly.com/question/17096268

HELPPPPPPP ME ASAPPPPPP

Answers

Answer:

D

Step-by-step explanation:

Perpendicular lines intersect to create right angles. That rules out A and B because both have a right angle in them. C has two lines that are parallel. The only one left is D which is neither parralell or perpendicualar.

On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.

Answers

Answer: Refer to figure 1 for the diagram needed.

A ' = (-1, 2)

B ' = (-6, 1)

C ' = (-7, 6)

D ' = (-3, 7)

Area = 24 square units

============================================================

Explanation:

Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.

To reflect any given point over the y axis, we apply this rule

[tex](x,y) \to (-x,y)[/tex]

which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.

After all of the points have been reflected, you'll get what is shown in figure 1.

------------------

To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.

The area of rectangle FEHG is 6*6 = 36 square units

Then we subtract off the areas of these four outer triangles

Triangle AED = 5*2/2 = 5Triangle AFB = 1*5/2 = 2.5Triangle BCG = 1*5/2 = 2.5Triangle CDH = 1*4/2 = 2

Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.

FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables

Answers

Answer:

c

Step-by-step explanation:

Drag steps and expressions into place to explain and show how to evaluate x⋅y for x=3 and y=9.

Answers

your pics not loading in

Answer:

1. Substitute 9 for y..............................3 x y

2.  Substitute 3 for X .......................................3x 9

3.   multiply ................................... 27                                        

Step-by-step explanation:

2 over 3 take 1 over 2

Answers

Answer:

-1/6

Step-by-step explanation:

(2/3-1)/2

(-1/3)/2

-1/6

1. The expression 2p - 15 represents the number of lilies left in the zoo's garden after a storm. If p = 223, how many lilies are left in the garden after the storm? 431 lilies 223 lilies 193 lilies 208 lilies​

Answers

2(223)-15
446-15=431lilies

Two friends, Gabriel and Hudson, had just bought their first cars. Gabriel uses 10 gallons of gas to drive 339 miles in his car. The table below represents the number of miles, yy, that Hudson can drive his car for every xx gallons of gas.

How much farther can Gabriel's car travel on one gallon of gas than Hudson's car?

Answers

Answer- 15.8 Miles

Explanation photo was given above.

how to solve x-3=2-3x​

Answers

Answer:

x = 5/4

Step-by-step explanation:

x-3=2-3x​

Add 3x to each side

x+3x-3=2-3x​+3x

4x-3 = 2

Add 3 to each side

4x-3+3 = 2+3

4x =5

Divide each side by 4

4x/4 = 5/4

x = 5/4

Answer:

5/4

Step-by-step explanation:

[tex]x-3=2-3x\\-3=2-4x\\-5=-4x\\\frac{-5}{-4} =x\\x=\frac{5}{4}[/tex]

Combine all like terms by moving them to their respective sides, then simplify as best you can.

What is the equation of the line that passes through the point (4,7) and has a slope
of -1/4

Answers

Answer:

See answer below.

Step-by-step explanation:

y - 7 = -1/4(x - 4)

y - 7 = -1/4(x - 4)   in point slope form  

In slope intercept form: y - 7 = -1/4x + 1

                                       y = -1/4 x + 8

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