Find the value of x and y

Find The Value Of X And Y

Answers

Answer 1

Answer:

y = 110°

x = 55°

Step-by-step explanation:

The line is a transversal.

∠Y = 110°, according to the rule of transversals.

Also, 2X = Y, since in a transversal the vertical angles are equal.

Vertical angles are the ones that are at the intersection of the parallel line and the transversal.

So, 2X = Y = 110°

X = 55°

Hence, X = 55° and Y = 110°.


Related Questions

Where is the function increasing?
Enter your answer in the boxes.
The function is increasing from x =

Answers

Answer: Just by seeing the graph, we can see that the function is decreasing from

x = 1 , to x = 8

(In this section the function has negative slope, its rate of change is negative)

(From x = -5 to x = -2 the function is increasing)

(From x = -2 to x = 1 the function stays the same)

The record high temperature is 41° the record low temperature is -16° what is the difference in the record temperatures

Answers

Answer: [tex]57\°[/tex]

Step-by-step explanation:

For this exercise it is important to remember that:

1. The word "difference" indicates subtraction (The result of a subtraction is called "difference").

2. The multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]

For this case, according to the data given in the exercise, the records high temperature and the record low temperature are:

[tex]High\ temperature=41\°\\\\Low\ temperature=-16\°[/tex]

Therefore, if you want to find the difference in the record temperatures, you need to sutract them.

Then you get the following result:

[tex]High\ temperature-Low\ temperature=41\°-(-16\°)=41\°+16\°=57\°[/tex]

17. Which of the following is a composite number?
O A. 19
O B.63
OC.0
O D.1
What is it

Answers

The answer is 63.because it can be divided by other many numbers like 3,7,9 ......

I am 100% sure about the answer..

Answer:

B. 63.

Step-by-step explanation:

Because 63 can be written as a multiple of smaller numbers .

For example 7 * 9 = 63.

The population of the United State is 3x10^8 and the population of the world is 7x10^9. How many times larger is the population of the world than the U.S.?

Answers

Answer:

The world's population is 23 times larger than the United States population.

Step-by-step explanation:

United States population = 3x10^8=300,000,000 or 300 million

The World's population = 7x 10^9= 7,000,000,000 or 7 billion

7 billion divided by 300 million = 23.33333333

7000000000 / 300000000 = 23.333333333

3. Carmen invested $3000 in an account
that pays 3.6% annual interest
compounded monthly. To the nearest
whole dollar, what will be the balance
in her account after 6 years?
A. $3223 B. $3648
C. $3709 D. $3722

Answers

Answer: C. $3709

Step-by-step explanation:

Using the formula to calculate amount(A) , which is given as :

A = p  [tex](1+r)^{n}[/tex] , where

A = amount

P = principal

r = rate

n = number of years

From the question,

A = ?

P = $3000

r = 3.6%

n = 6

substituting into the formula , we have

A = 3000[tex](1+0.036)^{6}[/tex]

A = 3000 [tex](1.036)^{6}[/tex]

A = 3000 (1.236398679)

A = 3709. 196038

To the nearest dollar

A = $3709

Answer:

C) $3722.

Step-by-step explanation:

Given: Carmen invested $3000 in an account that pays 3.6% annual interest compound monthly. To the nearest whole dollar, what will be the balance in her account after 6 years?

The formula to compound interest is:

I = P(1 + R)^T

Put in the terms:

I = $3000(1 + 3.6%)^6

I = $3000(1 + 0.036)^6

I = $3000 x 1.036^6

I = $3000 x 1.23639868

I = $3709.19604

Rounded, that's C) $3722.

Does anyone know this???
Pls help.

Answers

Answer:

∠ABC = 110°

Step-by-step explanation:

Since Δ BCD is equilateral then the 3 angles are congruent with measure 60°

Thus ∠ DBC = 60°

Δ ABD is isosceles with AB = BC

Thus the base angles are congruent, that is

∠ BAD = ∠ ADB = 65°

Calculate ∠ ABD by subtracting the sum of the base angles from 180°

∠ ABD = 180° - (65 + 65)° = 180° - 130° = 50°

Hence

∠ ABC = ∠ ABD + ∠ DBC = 50° + 60° = 110°

Answer:

110°

Step-by-step explanation:

Triangle ABD is an isosceles triangle.

This means that ∠ ADB is also 65°

Use the Triangle Sum Theorem (All angles of a triangle sum up to 180°)

65 + 65 = 130

180 - 130 = 50

∠ ABD is 50°

For Triangle BCD, all of the sides are the same.

This means all of the angles will be 60° (60° * 3 = 180°)

To find ∠ ABC, you add the two angles

60° + 50° = 110°

2. There are 30 students in Mrs. Bailey's class and of the class
has their own cell phone. Of this group of students, of them are
allowed to use social media. How many of the students have a
cell phone and can use social media?

Answers

Answer:

The students who have a cell phone and can use social media are 3.

Step-by-step explanation:

The question is incomplete so the complete question is:

There are 30 students in Mrs. Bailey’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?

Now, as given in question we need to find the number of students have a cell phone and can use social media.

Now, to get the number of students of the class who has their own cell phone:

[tex]\frac{1}{5}\ of\ 30.[/tex]

[tex]=\frac{1}{5} \times 30.[/tex]

[tex]=\frac{30}{5}[/tex]

[tex]=6.[/tex]

Of this group of 6 students, 1/2 of them are  allowed to use social media.

So, to get the number of students who use social media:

[tex]\frac{1}{2}\ of\ 6.[/tex]

[tex]=\frac{1}{2} \times 6[/tex]

[tex]=\frac{6}{2}[/tex]

[tex]=3.[/tex]

Therefore, the students who have a cell phone and can use social media are 3.

Determine the y intercept of the graph y-7 =3(x+5) rearrange in slope intercept form

Answers

Answer:

y = 3x + 22

Step-by-step explanation:

y - 7 = 3(x+5)

Distribute,

y - 7 = 3x + 15.

Add 7 to both sides.

Final answer, y = 3x + 22.

Hope this helps!

Answer:

22

Step-by-step explanation:

Remove the brackets on the right.

y - 7 = 3x + 15

Add 7 to both sides.

y - 7 + 7 = 3x + 15 + 7

y = 3x + 22

The y intercept occurs when x = 0

y = 3*(0) + 22

y = 22

y = -1 +3.?
What is the answer

Answers

it is very easy.I will explain u...

between 1 and 3 3 is greater..so we have put the plus sign and multiply + and - it wil ne - so that we have subtracted it...Hope it helps u...

An Atlas moth has a wingspan of 11 inches. What is the wingspan of 26 Atlas moths?

Answers

Answer:

286 inches

Step-by-step explanation:

26×11=286

a deposit of $500 in an account earns 6% simple interest. how long will it be before the total amount is $575?

Answers

Answer:

req time=2.5 year

Step-by-step explanation:

simple interest=[tex]\frac{P\times R\times T}{100}[/tex]

where P=principle

          R=rate of interest

          T=time

totel amount= principle+simple interest

simple interest=totel amount-principles

simple interest=$575-$500=$75

ac/ques, 75=[tex]\frac{500\times 6\times T}{100}[/tex]

75=[tex]30\timesT[/tex]

T=2.5 year

how to change a percent into a decimal​

Answers

Answer:

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left. Remember, if you don’t see a decimal, just imagine that it’s at the end, or far right side, of the number. Imagine that the decimal is followed by two zeroes if that helps.

Step-by-step explanation:

Answer:

Converting Percentages to Decimals

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left.

hope this helps

can you help me with this

The war of wall | Why is the wall special to the narrator and Lou?

Plz help me asap on this problem! To anyone who answers this will get BRAINLY AWARD COMMENT

Answers

Answer:

5.

Step-by-step explanation:

3 * 5 = 15

6 * 5 = 30

7*5 = 35

9*5 = 45

So the constant is 5.

How many minutes is it from
7:00 a.m. to 11:45 a.m.?

Answers

285.
60 x 4 = 240.
add 45 = 285.

Answer:

285 minutes

Step-by-step explanation:

Well first, how many hours form 7 to 11?

11-7 is 4, thus four hours. Since it is 11:45 and not 11, our answer is 4 hours and 45 minutes. We still need to convert 4 hours to minutes though, to do with we multiply 4 by 60.

4*60=240

Now we add 240 and 45

240+45=285

The answer is 285 minutes.

Write y = -0.4x + 0.9 in standard form using integers​

Answers

Answer:

the answer is 1.3 that 8s the answer

The standard form of the given equation is 10y+4x=9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y = -0.4x + 0.9.

The standard form for linear equations in two variables is Ax+By=C.

Now, y+0.4x=0.9

Multiply by 10 on both the sides of an equation, we get

10y+4x=9

Therefore, the standard form of the given equation is 10y+4x=9.

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Find the measures of an interior angle and an exterior angle of a regular 12-gon

Answers

Answer:

The interior angle of 12-gon is [tex]150^{\circ}[/tex]  

The exterior angle of 12-gon is [tex]30^{\circ}[/tex]

Step-by-step explanation:

Given as :

A regular 12-gon is a dodecagonal polygon

i.e The number of sides of the polygon = n = 12

Let The exterior angle of 12-gon = x°

And Let The interior angle of 12-gon = y°

Now,

Exterior angle = [tex]\frac{360^{\circ}}{number of sides}[/tex]

So, exterior angle of 12-gon = [tex]\frac{360^{\circ}}{n}[/tex]

Or, x = [tex]\frac{360^{\circ}}{12}[/tex]

∴ x = [tex]30^{\circ}[/tex]

So,The exterior angle of 12-gon = x = [tex]30^{\circ}[/tex]

Again

Interior angle = [tex]180^{\circ}[/tex] - exterior angle

So, interior angle of 12-gon = [tex]180^{\circ}[/tex] - exterior angle

Or, y =  [tex]180^{\circ}[/tex] -  [tex]30^{\circ}[/tex]

∴ y =  [tex]150^{\circ}[/tex]

So,The interior angle of 12-gon = y = [tex]150^{\circ}[/tex]

Hence, The interior angle of 12-gon is [tex]150^{\circ}[/tex] and The exterior angle of 12-gon is [tex]30^{\circ}[/tex] . Answer

Choose the congruence theorem that you would use to prove the triangles congruent.

SSS
SAS
ASA
AAS

Answers

The answer is SSS . This is because the sides values are shown.

The required criteria for congruence is SSS criteria.

What are the criteria for congruent triangles?

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

From the given figure for the two triangles,

It is clear that the corresponding sides for both the triangles are equal.

Thus, both the triangles satisfy the congruence criteria os SSS.

Hence, the given two triangles are congruent by the SSS criteria.

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Solve v = 1/3bh for b

Answers

Answer:

Step-by-step explanation:

Find the slope of the line between (-3,6) and (-5,9
PLEASE SHOW WORK!
THANK YOU

Answers

slope = change in y/change in x = (9-6)/(-5-(-3)) = -3/2

answer: -3/2

Alexis runs a small business and creates recordings of her friend’s skateboard stunts. She puts the recordings onto Instagram. She currently has 100 Instagram followers. If the number of followers grows at a rate of 1% every 12 hours. The following function represents this situation.
f(x) = f(1. + r)^t where f is the number of initial followers and r is the grown rate and t is time.
1) Alexis wants to figure out how many followers she will have after 5 days, use the equation to solve.

2) Alexis hopes to eventually have 1,000,000 followers, how long will it take her to reach this level of followers.

3) Fill in the chart below.


#Days since upload 0 10 20 50 100 300 500

Number of Instagram followers
4) In words, explain why the rate increases so fast.

5) Create an equation for the number of followers if the rate increased 3% every 24 hours.

Answers

Answer:

(1). 110 followers

(2). 463 days

(3). Days since upload                0 10 20 50 100 300 500

Number of Instagram followers 100 122 149 270 732 39158 2,000,000

(5) [tex]f(x)=100(1.03)^d[/tex]

Step-by-step explanation:

Part 1:

The function that represents the situation is:

[tex]f(x) = 100(1 .01)^{2d}[/tex]

Where [tex]d[/tex] is number of days.

Using this equation we find the number of followers after 5 days:

[tex]f(d) = 100(1 .01)^{2*5}=110[/tex] followers.

Part 2:

We solve the equation

[tex]1,000,000 = 100(1 .01)^{2d}[/tex]

for [tex]d[/tex] and get:

[tex]d=463\: days.[/tex]

It takes Alexis 463 days to reach 1,000,000 followers.

Part 3:

Days since upload                0 10 20 50 100 300 500

Number of Instagram followers 100 122 149 270 732 39158 2,000,000

This is obtained from the graph of the function f(x).

Part 4:

The number of Instagram followers increases fast because the rate of increase is 1% of the previous number of followers, and as the followers increase, this 1% takes increasingly big values, leading to increasingly fast growth rate of followers. Put simply, we would say that f(x) is an exponential function.

Par 5:

If the rate is increased to 3% every 24 hours, then the function f(x) becomes:

[tex]f(x)=100(1.03)^d[/tex]

where [tex]d[/tex] is days. and if we represent this in terms of every 12 hours then

[tex]f(x)=100(1.03)^{t/2}[/tex]

where [tex]t[/tex] is every 12 hours.

billys moped shop charges $17 an hour to rent a moped and a helmet . julios shop charges $9 an hour and $16 for the helmet . For what number of hours are the total charges the same at both shops ?

Answers

Answer:

2 HOURS

Step-by-step explanation:

The 1st hour of Billys moped shop costs $17. While Julios costs $25. But at the second hour mark it Billy's moped shop charges $34 an hour and Julios also charges $34nfor 2 hours of rental.

Answer:

2

Step-by-step explanation:

Billy's Moped Shop charges $17 per hour for a moped + helmet.  Julio's moped shop charges $9 per hour for a moped + $16 upfront for a helmet.

Let x be hours and p be price,  let's set up an equation for each.

Billy's equation is 17x = p

Julio's equation is 9x + 16 = p

After 1 hour,  Billy's would charge $17 and Julio's would have charged $25.  After 2 hours,  Billy's would charge $34 and Julio's would charge $34.  The answer is 2.

Which of these is an example of a recurring-payment variable annuity

Answers

Investing $2500 annually for 10 years into an annuity with a 3.4% APR yields approximately $31,790.56, making option B the correct choice.

A recurring-payment variable annuity typically involves regular contributions over time, often with variable returns based on market performance. Option B seems to fit this description best: "An annuity with an APR of 3.4% into which you invest $2500 each year."

To calculate the future value of this annuity, we can use the formula for the future value of an annuity:

FV = Pmt × [(1 + r)^n - 1] / r

Where:

FV = Future value

Pmt = Payment per period ($2500)

r = Interest rate per period (3.4% or 0.034)

n = Number of periods (number of years)

Let's assume we invest for 10 years:

[tex]FV = 2500 * [(1 + 0.034)^10 - 1] / 0.034[/tex]

Calculating this gives us approximately $31,790.56.

Therefore, investing $2500 each year for 10 years into an annuity with an APR of 3.4% would result in a future value of approximately $31,790.56.

Final answer: B. An annuity with an APR of 3.4% into which you invest $2500 each year.

The Correct question is:

Which of these is an example of a recurring-payment variable annuity?

A. An annuity with a minimum APR of 3.4% into which you invest a lump sum of $12,500

B. An annuity with an APR of 3.4% into which you invest $2500 each year C. An annuity with a minimum APR of 3.4% into which you invest $2500 each year

D. An annuity with an APR of 3.4% into which you invest a lump sum of $12,500

From the top of a vertical cliff 50 m high, the angle of depression of an object that is level with the base of the cliff is 70°. How far is the object from the base of the cliff?

Answers

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

Now, from figure

Tan angle = [tex]\dfrac{\textrm perpendicular}{\textrm base}[/tex]

I.e TanФ = [tex]\dfrac{\textrm AB}{\textrm OA}[/tex]

Or, TanФ = [tex]\dfrac{\textrm h}{\textrm x}[/tex]

Or, Tan 70° = [tex]\dfrac{\textrm 50 meters}{\textrm x meters}[/tex]

Or, 2.74 = [tex]\dfrac{\textrm 50}{\textrm x}[/tex]

∴ x =  [tex]\dfrac{\textrm 50}{\textrm 2.74}[/tex]

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

Final answer:

We can determine the distance of the object from the base of the cliff using trigonometry. Specifically, we form an equation using the tangent of the given angle and the known height, solve for the distance, and then substitute the known values to obtain the specific distance.

Explanation:

The subject matter of this question falls in the field of trigonometry as it involves calculating distance using a known height and angle of depression. The object is level with the base of the cliff, and therefore forms a right triangle with the cliff and the sight line from the top of the cliff.

We can use the tangent function to solve this problem. In trigonometry, the tangent of an angle in a right triangle is the opposite side (height) over the adjacent side (distance we're looking for). Given the angle of depression (70°) and the height of the cliff (50 m), we can set up the following equation:

tangent(70°) = height/distance

Moving terms around gives:

distance = height / tangent(70°)

Substituting for height and tangent(70°) we get:

distance = 50 m / tan(70°)

Solving the above equation will give us the distance of the object from the base of the cliff.

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help!! i have been getting my answers wrong all day

Answers

Answer

20.45pi

Step-by-step explanation:

14/2=7

49pi

49pi/2=20.45pi

Find the area please don’t lie to me

Answers

Answer:

108 yd²

Step-by-step explanation:

The formula of an area of a trapezoid:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

From the picture we have

[tex]b_1=19yd,\ b_2=5yd,\ h=9yd[/tex]

Substitute:

[tex]A=\dfrac{19+5}{2}\cdot9=\dfrac{24}{2}\cdot9=12\cdot9=108\ yd^2[/tex]

Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the rest on folders with paper. Each folder filled with paper costs $3.89. Part A: Select the inequality that shows how many folders filled with paper (x) Jessica can buy. $36.25 + $3.89x ≤ $58.50 $36.25x + $3.89x ≤ $58.50 $36.25 + $3.89x ≥ $58.50 $36.25x + $3.89 ≥ $58.50

Answers

Answer:

[tex]\$36.25+\$3.89x\le \$58.50[/tex]

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so

[tex]\$36.25+\$3.89x\le \$58.50[/tex]

What is the slope of the line that passes through the points e (5,1) and f (2, -7)

Answers

Answer:

8/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-1)/(2-5)

m=-8/-3

m=8/3

Which of the following numbers is irrational?
A. 2/3
B. -√81
C. 5.76262...
D. √2

Answers

Answer: options C and D

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

A . 2/3 is a rational number because it is a fraction

B . -[tex]\sqrt{81}[/tex] = -9 which could be written as -9/1 , so it is a rational number

C. 5.76262... is irrational because the decimal has no end point

D. [tex]\sqrt{2}[/tex] is a common example of irrational number , because finding the square root of 2 is also continuous .

Therefore , options C and D are irrational

What is the answer for 5/2 and it is equal to 1/3

Answers

Answer:

5/2=2.5, while 1/3= aprox 0.333, therefore 5/2 is not equal to 1/3.

Step-by-step explanation:

Here is the long division table for 5/2

 2. 5 0 0

2 5. 0 0 0

− 4      

 1 0    

− 1 0    

   0 0  

 −   0  

     0 0

   −   0

       0

Here is the long division table 1/3 ( to three decimal places)

0. 3 3 3

3 1. 0 0 0

− 0      

 1 0    

−   9    

   1 0  

 −   9  

     1 0

   −   9

       1

An easier way to do 5/2 is to think of 50/2, which is 25, and then add a decimal point, making it 2.5.

An easier way to do 1/3 is to think of it as one third (of one), or 0.333 repeating.

It takes the average adult 22 minutes to walk a mile, with a standard deviation of 6 minutes. About what percentage of adults take longer than 27 minutes to walk a mile? Note: Assume that a Normal model is appropriate for the distribution of walking times. 29.67% 70.33% 20.33% 79.67%

Answers

Answer:

The correct answer is C. 20.33%

Step-by-step explanation:

1. Let's review all the information given to us to answer the question correctly.

Mean of time of adults walking a mile = 22 minutes

Standard deviation = 6 minutes

Normal distribution for the walking times

2. What percentage of adults take longer than 27 minutes to walk a mile?

27 minutes = Mean + 5 minutes

27 minutes = Mean + 0.83 * Standard deviation

Using the z table for z = 0.83, we have that:

P (z) = 0.7967

Therefore the probability of adults that take longer than 27 minutes walking a mile is:

1 - 0.7967 = 0.2033

The correct answer is C. 20.33%

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