The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Need by (at most tmrw but would love if u answered tdy!) Thanks!

Answers

Answer 1

Answer:

The measures of all eight angles formed by the parallel lines and transversal are;

The four angles for the one of the parallel line = 12°, 168°, 12°, 168°

The four angles for the other parallel line = 12°, 168°, 12°, 168°

Step-by-step explanation:

The same-side interior angle theorem states that the the sum of the same side interior angles formed by the transversal intersection of two parallel lines is equal to 180°

Whereby the ratio of the angles is 1:14, we have;

Let one of the angles = x

Therefore, the other angle = 14·x

We then have;

x  + 14·x = 180°

15·x = 180°

x = 180°/15 = 12°

∴ The other angle = 14×12 = 168°

Hence the four angles on one of the parallel lines are therefore;

12°, 168°, 12°, 168°

Similarly, the four angles on one of the other parallel line are;

12°, 168°, 12°, 168°

The measures of all eight angles formed by the parallel lines and transversal = 12°, 12°, 12°, 12°, 168°, 168°, 168°, 168°.


Related Questions

Will name the brainliest !

Will name the brainliest !

Answers

Answer:

c = 3477 feet (As rounded to the nearest whole number)

Step-by-step explanation:

We will use the Sin ratio for this problem since the opposite side of the Angle 15 is given and we have to find the triangle's hypotenuse;

Sin(15) = \(\frac{900}{c}\)

=> Now isolate the variable c all to itself;

Sin(15) * c = 900

c = \(\frac{900}{Sin(15)}\)

c = 3477.33 or 3477 feet

Hope this helps!

Look for a pattern and predict the next two numbers.
1, 1/6, 1/11, 1/16, ___, ___

Answers

Answer:

1/21 1/26

Step-by-step explanation:

Denominator increases by 5

Answer:

So your answer is, 1, 1/6, 1/11, 1/16, 1/21, 1/26

Step-by-step explanation:

Simpler answer: the next two numbers in the sequence are, 1/21 and 1/26

If you wish to keep going it would go, 1/31, 1/36, 1/41, 1/46, 1/51, 1/56, and so on. Basically, I am adding "5" to the denominator.

PLEASE MARK BRAINLIEST

in bowl of fruit there are green grapes and black grapes in the ratio 3:4.
if there are 24 grapes,how many black grapes are there

Answers

Answer:

32 black grapes

Step-by-step explanation:

24 green grapes

3:4

24÷3=8

8×4=32

there are 32 grapes

bridget was thinking of a number bridget subtracts 7.7 from the number and gets an answer of 68 form an equation with x from the information

Answers

Answer:

68 + 7.7 = x

Step-by-step explanation:

I need help. Find the ratio of the trig function.

I need help. Find the ratio of the trig function.

Answers

Answer:

tanΘ = \(\frac{4}{3}\)

Step-by-step explanation:

tanΘ = \(\frac{opposite}{adjacent}\)

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = \(\sqrt{256}\) = 16

then

tanΘ = \(\frac{16}{12}\) = \(\frac{4}{3}\)

Helpppp pleaseeee helppppp

Helpppp pleaseeee helppppp

Answers

Answer:

2x-1=x+7

-x     -x

2x-1=7

+1      +1

2x=7

/2    /2

x=3.5

Step-by-step explanation:

The first official count of Sudan's referendum has been announced
with the country's diaspora in Europe overwhelming voting for
secession
In this sentence, diaspora means.
the
space sought for occupation by a nation
the financial sector, including banking and investing
the territory within which power can be exercised
the dispersion of something that was originally
localized

Answers

Answer:

the dispersion of something that was originally localized

Step-by-step explanation:

that's the definition of the word diaspora.

a certain field is a rectangle with a perimeter of feet. the length is feet more than the width. find the width and length of the rectangular field.

Answers

The length and width of the rectangular field is 316 ft and 133 ft respectively.

An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.

It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.

Given,

perimeter of rectangular field = 898 ft

let width be 'x'

then,

length = x+183

The perimeter of a rectangle is,

\(P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133\)

Thus, the width is 133 ft and length is (133+183)=316 ft.

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Your question is incomplete, here is the complete question.

A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?

Geometry! The answer is NOT 190 please help!​

Geometry! The answer is NOT 190 please help!

Answers

Using the distance formula, the distance around the park = 190.6 units.

How to Find Distance Using the distance Formula?

Distance formula is given as, \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

To find the distance around the park, find the length of PQ, QR, and PR:

Use the distance formula to find the distance between points P and R:

P(10, 50)

R(80, 10)

PR = √[(80−10)² + (10−50)²]

PR = √[(70)² + (−40)²]

PR = √(4900 + 1600)

PR = √6500

PR ≈ 80.6 units

PQ = |50 - 10| = 40 units

QR = |80 - 10| = 70 units

Thus, the distance around the park = PQ + QR + PR = 40 + 70 + 80.6

Thus, the distance around the park = 190.6 units.

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The triangles below are similar.

therefore x = ?

The triangles below are similar. therefore x = ?

Answers

Answer:

x = 6.

Step-by-step explanation:

JK = JG + GK = 6 + 4 = 10

Scalar factor(k) = JK/JG

k = 10/4 = 5/2

Scalar factor (k) = JL/GH

5/2 = x/15

5 × x = 2× 15

5x = 30

hence x = 6

william is 3 feet 1 inch tall and would like to ride a roller coaster. riders must be at least 42 inches tall to ride the coaster. write an addition inequality to determine how much taller william must be to ride the coaster. let x be the variable representing how much taller william must be.

Answers

The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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HELPPPPPP MEEE PLSSS

HELPPPPPP MEEE PLSSS

Answers

Answer:
208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Hey ! there

Answer:

208

Step-by-step explanation:

In this question we are provided a net of cuboid with ,

Length = 8 m

Width = 6 m

Height = 4 m

And we are asking to find the surface area of the figure ( cuboid ) . We know that ,

\( \quad\underline{ \boxed{\sf{Surface \: Area_{(Cuboid)} = 2 ( lw + wh + hl )}}}\)

Where ,

l refers to length

w refers to width

h refers to height

Solution : -

\( \longmapsto \qquad \: 2((8 \times 6) + (6 \times 4) + (4 \times 8))\)

\( \longmapsto \qquad \: 2(48 + 24 + 32)\)

\( \longmapsto \qquad \: 2(48 + 56)\)

\( \longmapsto \qquad \:2(104)\)

\( \longmapsto \qquad \: \blue{\underline{\boxed{\frak{208 \: m {}^{2} }}}} \quad\bigstar\)

Therefore , surface area of cuboid is 208 square metres .

#Keep Learning

PLEASE HELP IM STUCK PLEASE

PLEASE HELP IM STUCK PLEASE

Answers

There’s an error with the 9, it should be -9. But the correct response to write in the green box is -1. Hope this helped.

what are differences or similarities between everyday logic and mathematical logic?

Answers

The main difference between everyday logic and mathematical logic is that everyday logic is based on general observations and opinions, while mathematical logic is based on precise statements and facts.



Differences:
- Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
- Everyday logic is often used to make decisions or solve problems in daily life, while mathematical logic is used to solve complex mathematical problems.
- Everyday logic can be subjective and influenced by personal beliefs or experiences, while mathematical logic is objective and follows a set of universally accepted principles.

Similarities:
- Both everyday logic and mathematical logic use reasoning to draw conclusions.
- Both everyday logic and mathematical logic rely on evidence and facts to support their conclusions.
- Both everyday logic and mathematical logic can be used to solve problems and make decisions.

In conclusion, while everyday logic and mathematical logic have some similarities in terms of their use of reasoning and evidence, they differ in their approach and application. Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.

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the base of a triangle is 2 feet greater in length than its height. If the area of the triangle is 40 square feet, find the length of the base and the height of the triangle.

Answers

The length is 10 and the height is 8 because the area of a triangle is length time height divided by 2 which means that we need to find what 80 is equals to which is 10 and 8 and they are two feet apart.

Does someone mind helping me with this problem? Thank you!

Does someone mind helping me with this problem? Thank you!

Answers

y+2=1(x-12)
Your question starts off with y- so do -2

Evaluate 3 8 × 5 12 Give your answer in its simplest form

Answers

Answer:

5/32

Step-by-step explanation:

3/8 × 5/12

Multiply.

15/96

Simplify.

5/32

Answer:

19.456 or 19456

Step-by-step explanation:

3.8× 5.12 = 19.456 while 38× 512= 19456

I can't tell which it is because of how the question is

Anyway, hope I assisted you

explain what the following correlation coefficient tell you about two sets of data r=0.4

Answers

If r is between 0 and 1 it is a positive correlation

if r is between -1 and 0 it is a negative correlation

\(0In this case, for r=0.4, The correlation is positive. It's a weak association

57% of people in state prisons for drug offenses in the us are african american. what percentage of illicit drug users in the us are african american?

Answers

The percentage of illicit drug users in the US are African American is a. 14%

According to data from the National Survey on Drug Use and Health, in 2019, 14.5% of African Americans reported using illicit drugs in the past month, compared to 12.4% of the overall population. While African Americans are overrepresented in state prisons for drug offenses, they do not use drugs at a significantly higher rate than other racial and ethnic groups.

It's important to note that drug use is a complex issue with many social and economic factors at play. It's crucial to approach drug use and addiction with a public health perspective that prioritizes prevention, treatment, and harm reduction over punitive criminal justice approaches.

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Your question is incomplete, but probably the complete question is :

57% of people in state prisons for drug offenses in the US are African American. What percentage of illicit drug users in the US are African American?

a. 14%

b. 28%

c. 42%

d. 56%

The​ _______ of a probability experiment is the collection of all possible outcomes. a. outcome b. sample space c. event d. unusual event e. experiment

Answers

Answer:B.Sample space

Step-by-step explanation:

y = 1/2 x + 1
-2x + 4y = 4
need an answer please
y = -x - 3
y + x = 2

Answers

There are infinitely many solutions and thus infinitely many values for x and y in the first system of equations. There are no solution for the second system of equations.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

The first system of equations are,

y = 1/2 x + 1

-2x + 4y = 4

Multiplying throughout the first equation by 4, we get

4y = 2x + 4

and the second equation is 4y = 2x + 4

Both the equations are same and so the lines coincide.

They have infinitely many solutions.

The second system of equations are,

y = -x - 3

y + x = 2 ⇒ y = -x + 2

Both are in the form of y = mx +c, which is the equation of the line in slope intercept form.

Here m is the slope.

Given lines have the coefficient of x same, and so slopes are same.

So the lines are parallel.

Two parallel lines does not have a solution.

Hence the first system of equations have infinitely many solutions and second system of equations does not have any solution.

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The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.

Answers

Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

4) In the graph below, what is f(2)?
40
35
30
25
20
15
10
5
0
1 2 3 4

4) In the graph below, what is f(2)?40353025201510501 2 3 4

Answers

Check the picture below.

4) In the graph below, what is f(2)?40353025201510501 2 3 4

im failing pls help !!!!!

im failing pls help !!!!!

Answers

Answer:

ill suck ya wang

Step-by-step explanation:5$ and ill suck yo wang to do your homework

Answer:

It is C.

Step-by-step explanation:

If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.

Therefore, it is C.

14/3 = 7y solve for y and simplify your answer as much as possible

Answers

Answer:

2/3 = y

Step-by-step explanation:

to solve you got to cancel out the 7
so 7y/7.
whatever you do to one side, you do to the other.
14/3 ÷ 7 = 7y/7
14/3 ÷ 7 = 0.6666... = 2/3 = y

If

x = ab/c

derive the formula for the uncertainty of x. (Hint: partial derivatives may prove useful).

Answers

The formula for the uncertainty of x, Δx, can be derived using partial derivatives as follows:

Δx = √((Δa/a)² + (Δb/b)² + (Δc/c)²)

To derive the formula for the uncertainty of x, Δx, we can use the concept of partial derivatives. The general formula for the uncertainty propagation of a function involving multiple variables is given by:

Δf = √((∂f/∂x₁)²Δx₁² + (∂f/∂x₂)²Δx₂² + ... + (∂f/∂xₙ)²Δxₙ²)

In this case, we have x = ab/c, and we want to find Δx. We can assign x as a function of a, b, and c:

f(a, b, c) = x = ab/c

To find Δx, we need to calculate the partial derivatives (∂f/∂a), (∂f/∂b), and (∂f/∂c) and substitute them into the general formula.

∂f/∂a = b/c

∂f/∂b = a/c

∂f/∂c = -ab/c²

Now, we can substitute these partial derivatives into the uncertainty propagation formula:

Δx = √((∂f/∂a)²Δa² + (∂f/∂b)²Δb² + (∂f/∂c)²Δc²)

= √((b/c)²Δa² + (a/c)²Δb² + (-ab/c²)²Δc²)

= √((b²Δa² + a²Δb² + a²b²Δc²)/c²)

= √((a²b²Δc² + b²Δa² + a²Δb²)/c²)

Simplifying further, we get:

Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c

Thus, the formula for the uncertainty of x, Δx, is:

Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c

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(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. y (1) y x+ y (2) y2 (22+y2) (b) Find the general solution of (2). a) OI have placed my work and my answer on my answer sheet b)OI want to have points deducted from my test for not working this problem.

Answers

For equation (1), y' = xy + y, we can see that it is a linear differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 1.

For equation (2), y' = y^2(22+y^2), we can see that it is a Bernoulli differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 2.

To find the general solution of equation (2), we can use the following steps:

Divide both sides by y^2 to obtain y^(-2)y' = 22+y^2.

Substitute u = y^(-1) to obtain u' = -22u - 1.

Solve for u using separation of variables to obtain u = Ce^(-22x) - (x+D), where C and D are constants.

Substitute back y^(-1) for u to obtain the general solution y = (Cx+D)/(1-22xy), where C and D are constants.

Therefore, the general solution of equation (2) is y = (Cx+D)/(1-22xy), which is a rational function.

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Consider the sequence: 2,4,8,16,32
Is this sequence arithmetic or geometric?

Answers

Answer:

geometric sequence

Step-by-step explanation:

In an arithmetic sequence the terms increase or decrease by the same amount each time. In a geometric sequence the terms are multiplied by a common ration.

The given sequence, 2,4,8,16,32 the terms do not increase by a constant number each time and they are instead multiplied by a common ratio.

Eg. to get to 4 from 2 you multiply by 2, to get to 8 from 4 you multiply by 2. this same process happens throughout the sequence therefore this is a geometric sequence

Answer:

The sequence is geometric

Step-by-step explanation:

The sequence is geometric.

Definition of geometric sequence: A sequence where the next number is made by multiplying the common ratio with the previous number.

In this sequence, there is 2, 4, 8, 16, and 32

4 is made by multiplying 2 with the common ratio, which is true

8, is made by multiplying 4 with the common ratio, 2

As you can see, the numbers have a common ratio of 2, which means this sequence is geometric

Let me know in the comments if you have any questions. If you could mark this answer as the brainliest, I would very much appreciate it!

5. To pass a course with an A grade a student must have an average of 90 or greater. A​ student's grades on three tests are 83,96, and 85 Find what score the student must get on the next test to get an A average What grade must the student get? blank or greater

Answers

Answer:

x  ≥ 96

Step-by-step explanation:

Let x be the fourth score

To find the average add up all the scores and divide by 4

We want to score to be 90 or higher

( 83+96+85+x) /4≥ 90

Multiply both sides by 4

( 83+96+85+x) /4 *4≥ 90*4

( 83+96+85+x) ≥ 360

Combine like terms

x+264 ≥360

Subtract 264 from each side

x+264-264 ≥360 -264

x  ≥ 96

The student needs a 96 or greater.

Solve this please quickly everything on the picture. Thank you

Solve this please quickly everything on the picture. Thank you

Answers

Answer:

yes because i said

Step-by-step explanation:

bc i said

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