Need a little help does anyone’s know how to do this?

Need A Little Help Does Anyones Know How To Do This?

Answers

Answer 1

Answer:

106°

Step-by-step explanation:

Given that the points B, C and D are colinear, it means that

2x + 40 = 5x + 10

collecting like terms

40 - 10 = 5x - 2x

3x = 30

x = 10

Hence the angle ∠E

= 5(10) + 10

= 60°

∠BCE = X + 4

= 10 + 4

= 14°

Given that the sum of angles in a triangle is 180°

∠D + 14 + 60 = 180

∠D = 180 - 74

= 106°


Related Questions

HELLLPPPP I need a explication on whether or not these angle relationships are possible

Answers

Answer:

Step-by-step explanation:

5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180

Answer:

no, the values would be above 180º

Step-by-step explanation:

if...

(4x - 9) + (2x + 3) + y = 180

(5x + 30) + y = 180

then...

(4x - 9) + (2x + 3) = 5x + 30

so...

6x - 6 = 5x + 30

x = 36

plug it in.

4(36) - 9 = 135

2(36) + 3 = 75

already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.

HELP!
Choose the slope and y-intercept that
correspond with the graph.

Answers

Answer:

The second answer

Step-by-step explanation:

Remember rise over run since this is a negative line go down 4 and over to the right 3. Now you found your slope which is -4/3. To find the y intercept simply look at the y axis and look at where the line passes through it

Use technology to find the line of best fit for the following data. (−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6) When the equation of the line is in the form y=mx+b, what is the value of b?

Answers

Answer: Intercept (b) = - 2.2567

Step-by-step explanation:

(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6)

Using the online regression calculator :

ŷ = -0.60205X - 2.2567

y is the predictor variable

X - the independent variable

0.60205 = slope or gradient

- 2.2567 = intercept (b) where the line best fit cross the y-axis.

The linear regression line is made using the least-squares method. The value of b is -2.2567.

How does linear regression work?

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least-squares method.

Given the points of the data(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6).

Now, Since the question states about using the technology, therefore, if we use the online regression calculator:

ŷ = -0.60205X - 2.2567

y is the predictor variable

X - the independent variable

-0.60205 is the value of m which is the slope or gradient of the regression line, while -2.2567 is the value of the intercept of the regression line.

Hence, the value of b is -2.2567.

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if a coin is tossed twice find the probability of getting a) 2 heads b) atleast 1 head c) no heads

Answers

Answer:

B

Step-by-step explanation:

A coin has two sides so there is a 50% chance of getting heads or tails.

Answer:

a) 1/4

b) 3/4

c) 1/4

Step-by-step explanation:

Possible outcomes of two tosses of a coin:

HH

HT

TH

TT

There is a total of 4 possible outcomes.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

a) 2 heads

HH     <-------  1 desired outcome

HT

TH

TT

p(2 heads) = 1/4

b) at least 1 head

HH   \  

HT      }     <------ 3 desired outcomes

TH    /

TT

p(at least 1 head) = 3/4

c) no heads

HH

HT

TH

TT    <------- 1 desired outcome

p(no heads) = 1/4

I SHALL NAME THEE BRAINLIEST! (: Use Associative and Commutative Properties to combine like terms. Simplify the expression. Plz help me. -5X + 8X - 4 -5Y + 3 - 6Y + 2Y + 4 6 + X - 5 + 3X + 8 3B - B + 7 + 4B

Answers

Answer        

6B+7X-9Y+19

Step-by-step explanation:

Look at the amount of soft drink in each bottle of capacity 2L, given here. How much more soft drink should be added to completely fill each of the bottles?

Answers

Answer:

1992.50 mL; 825 mL

Step-by-step explanation:

Given that :

Capacity of bottles in the attachment = 2L

Amount of soft drink in bottle 1 = 7.50mL

Amount of soft drink in bottle 2 = 1175mL

Converting liter milliliter

1Litre = 1000 milliliters

Therefore 2Litres = 2000 milliliters

Capacity each of bottle = 2000 milliliters

Volume of drink required to completely fill bottle 1:

2000mL - 7.50mL = 1992.50 mL

Volume of drink required to completely fill bottle 2:

2000mL - 1175mL = 825 mL

The tee for the fifth hole on a golf course is 375 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.

Answers

Answer:

158.73 yd

Step-by-step explanation:

A picture of the situation is needed, investigating I could find a related one, in the same way the important thing is the solution, the data can be exchanged. I attach the drawing.

Let use the formula of the law of cosine:

c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos C, to solve the problem

Let the third side be c, we replace:

c ^ 2 = 375 ^ 2 + 240 ^ 2 - 2 * 375 * 240 * cos 16 °

c ^ 2 = 198225 - 173027.10

c ^ 2 = 25197.9

c = 158.73

So the distance is 158.73 yd

Answer: the right answer is 195.4

Step-by-step explanation: this guy does not what's happening

Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below: Gymnastic Scores Score Number of Students 0 1 1 1 2 2 3 6 4 4 5 3 6 2 Based on the table, what is the mean gymnastic score? 2.5 3.5 5.2 9.4

Answers

Answer:

3.5

Step-by-step explanation:

I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish

The mean for gymnastic score is, 3.5

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.

Now, We get;

The mean for gymnastic score is,

= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19

= 3.47

= 3.5

Thus, The mean for gymnastic score is, 3.5

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can someone please help me?

Answers

Answer:

-1

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

What is the range of the function represented by this graph?​

Answers

Answer:  The range is real numbers less than 1

[1, -∞)  

Step-by-step explanation:  The range is all the y-values.  The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.

Answer:

y < 1

(the < has a line underneath it)

Step-by-step explanation:

help quick quick quick qucik

Answers

Answer: 85 = 3.75x + 12.25

The restaurant can have 19 loads

Step-by-step explanation:

The 85 accounts for the restaurant's budget.  The 3.75x accounts for the cost of each load.  The 12.25 accounts for the delivery fee.

85 = 3.75x + 12.25

Subtract 12.25

72.75=3.75x

Divide by 3.75

19.4=x

Round down

x = 19

Hope it helps <3

Answer:

19.4

Step-by-step explanation:

3.75x+12.25=85

subtract 12 from both sides, and divide to put the variable alone.

Then you have to get 19.53333333

Round up and its 19.4

Check if it is true

3.75×19.4+12.25=85

Write an inequality:

from (–5) to (–1) inclusive

Answers

Answer:

Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.

PLEASE HELP ME If ƒ(x) = -x and ƒ(-3), then the result is: -3. 0. 3. None of these choices are correct.

Answers

Answer:

The answer is 3.

Step-by-step explanation:

This is because f(-3) = -(-3) = 3.

Write as an equation: Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years younger than Carol. Together the sisters are 68 years old. How old is Barbara? (Let b = Barbara)

Answers

a+b+c=68

b-3=a

c-5=b

now just solve the system of equations, substitue so that there are only b's in the equation:

a+b+c=68

(b-3) + b + (b+5) = 68

3b=66

b=22

Therefore Barbara is 22

The required age of barbar is 22 years.

Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years younger than Carol. Together the sisters are 68 years old.  How old is Barbara to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Let the age of Alice, Barbara and Carol are a, b and c.

Age Alice is 3 years younger than Barbara,

a = b - 3     - - - -(1)

Age Barbara is 5 years younger than Carol

b = c - 5

c = b + 5     - - - -(2)

Together the sisters are 68 years old i.e.

a + b +c =68

From equation 1 and 2

b - 3 + b + b +5 = 68

3b + 2 = 68

3b = 66

b  = 33

Thus, the required age of barbar is 22 years.

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How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.

39π in3
117π in3
1053π in3
1521π in3

Answers

Answer:

Volume of the cylinder is 1521π in³

Step-by-step explanation:

Hello,

To find the volume of a cylinder, we need the know the formula used for calculating it.

Volume of cylinder = πr²h

r = radius

h = height

Data,

Radius = 13in

Height = 9in

Volume of a cylinder = πr²h

Now we need to substitute the values into the formula

Volume of a cylinder = π × 13² × 9

Volume of a cylinder = 169 × 9π

Volume of a cylinder = 1521π in³

Therefore the volume of the cylinder is 1521π in³

Answer:

1521

Step-by-step explanation:

A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a .

Answers

Answer:

B. The given value is a for the because the data collected represent a . statistic year sample

Step-by-step explanation:

A population is the total of similar items that are of interest to the researcher.

Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.

A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.

In this scenario the population is the whole year, and the sample is 41 days.

So the mean derived from the sample is statistic of sample from the year.

This can be used to make deductions about the whole year.

In a certain apartment building, apartments can come with 2, 3, or 4 bedrooms; they can have 1 or 2 bathrooms; and they can be located on the lower, middle, or upper level. How many different types of apartments are possible if any number of bedrooms, bathrooms, and locations can be combined?

Answers

Answer:

18 types of apartments

Step-by-step explanation:

There are three options for bedrooms (2, 3, or 4), two options for bathrooms (1 or 2), and three options for location (lower, middle, or upper level).

The number of possible different apartments is:

[tex]n=3*2*3\\n=18\ types[/tex]

18 types of apartments are possible.

listed below are the number of tech-supported questions successfully answered each day by misty and brock over a one week period, who is the more consistent employee?

Misty: 11,13,12,14,10,16,14
Brock: 8,15,10,11,16,10,9

Answers

Answer:

Misty is the more consistent employee

Step-by-step explanation:

The given data are

Misty: 11, 13, 12, 14, 10, 16, 14

Brock: 8, 15, 10, 11, 16, 10, 9

The mean of Misty's successfully answered questions = ∑x/n = 90/7 = 12.86

Misty's data standard deviation = √(∑(x - μ)²/n) = 1.884

The mean of Brock's successfully answered questions = ∑x/n = 79/7 = 11.29

Brock's data  standard deviation = √(∑(x - μ)²/n) = 2.81

Therefore, based on the value of the standard deviation which is a measure of variability, whereby the standard deviation of Brock's number of successfully answered questions is larger than the standard deviation of Misty's number of tech supported successfully answered questions, Misty is the more consistent employee.


What is the actual distance, in miles, between two cities that are 3 inches apart on the map?

Answers

Answer:

Step-by-step explanation: to answer this question I need to know what 1 inch to a mile is. like    every one inch= 12 miles

find the exact value of tan165°.

Answers

Answer:

the answer would be

[tex] - 2 + \sqrt{3} [/tex]

but if you want it in decimal form it would be -0.26794919

Answer:

tan 165 =  -0.2679491924

Step-by-step explanation:

HIJ has coordinates H(-4,3), I7(-2, 0), and J (-4,1). Graph the triangle and its
translation 3 units to the right and 2 units down. What are the coordinates of J'?

Answers

Answer:

J'(-1; -1)

Step-by-step explanation:

Look at the picture.

x - horizontal

y - vertical

left, right - horizontal

n units to the right: x + n

n units to the left: x - n

up, down - vertical

n units up: y + n

n units down: y - n

J(-4; 1)

3 units to the right: -4 + 3 = -1

2 units down: 1 - 2 = -1

J'(-1; -1)

which of the following is not a correct way to represent the ratio 5 to 2 a)2/5 c)5:2 b)5/2 d) 10:4

Answers

Answer:

A

Step-by-step explanation:

Answer:

a)2/5

Step-by-step explanation:

5:2 is correct

5/2 is nothing but 5:2

10:4 is also correct because when we simplify it we get5:2

What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.

Answers

Answer:

48

Step-by-step explanation:

We have that the volume of a cylinder is given by:

 V = pi * (r ^ 2) * h

In this case we know the diameter, we know that the radius is half the diameter like this:

r = d / 2

r = 8/2

r = 4

Now we know that the V equals 768 pi

we replace and we have:

768 * pi = pi * (4 ^ 2) * h

768 = 16 * h

h = 768/16

h = 48

Therefore the value of x would be 48 cm

4^3/4 x 2^x = 16^2/5
work out the exact value of x

Answers

Answer:

x = 1/10

Step-by-step explanation:

[tex] {4}^{ \frac{3}{4} } \times {2}^{x} = {16}^{ \frac{2}{5} } [/tex]

In order to solve the equation express each of the terms in the same base .

in this case we express each of the terms in base 2

That's

[tex] {4}^{ \frac{3}{4} } = {2}^{2 \times \frac{3}{4} } = {2}^{ \frac{3}{2} } [/tex]

And

[tex] {16}^{ \frac{2}{5} } = {2}^{4 \times \frac{2}{5} } = {2}^{ \frac{8}{5} } [/tex]

So we have

[tex] {2}^{ \frac{3}{2} } \times {2}^{x} = {2}^{ \frac{8}{5} } [/tex]

Since the left side are in the same base and are multiplying, we add the exponents

[tex] {2}^{ \frac{3}{2} + x } = {2}^{ \frac{8}{5} } [/tex]

Since they have the same base we can equate them

That's

[tex] \frac{3}{2} + x = \frac{8}{5} [/tex]

[tex]x = \frac{8}{5} - \frac{3}{2} [/tex]

[tex]x = \frac{1}{10} [/tex]

Hope this helps you

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.) 40

Answers

Answer:

Probability of selecting none of the correct six integers:

a) 0.350

b) 0.427

c) 0.489

d) 0.540

Step-by-step explanation:

a) 40

Given:

Number of integers in a lottery  6

Order in which these integers are selected does not matter

To find:

Probability of selecting none of the correct six integers

Solution:

When the order of selection does not matter then we use Combinations.

Given integers = 40

Number of ways to choose 6 from 40.

Let A be the sample space of choosing digits 6 from 40.

Then using Combinations:

(n,k) = n! / r! (n-r)!

n = 40

r = 6

40C6

=(40,6) = 40! / 6! ( 40 - 6)!

           = 40! / 6!34!

           = 40*39*38*37*36*35*34! / 6!34!

           = 2763633600 / 720

          = 3838380

Let E be the event of selecting none of the correct six integers.

So using combinations we can find the total number of ways of selecting none of 6 integers from 40

n = 40 - 6 = 34

r = 6

34C6

=(34,6) = 34! / 6! ( 34 - 6)!

           = 34! / 6! 28!

           = 34 * 33 * 32 * 31 * 30 * 29 * 28! / 6! 28!

           =968330880 / 720

           = 1344904

Probability of selecting none of the correct six integers:

P(E) = E / A

       = 1344904 / 3838380

        = 0.350

Probability of selecting none of the correct six integers is 0.350

b) 48

Following the method used in part a)

(n,k) = n! / r! (n-r)!

n = 48

r = 6

48C6

=(48,6) = 48! / 6! ( 48 - 6)!

            = 48! / 6! ( 42 )!

            = 48*47*46*45*44*43*42! / 6!42!

            = 8835488640 / 720

            = 12271512

Let E be the event of selecting none of the correct six integers.

So using combinations we can find the total number of ways of selecting none of 6 integers from 48

n = 48 - 6 = 42

r = 6

42C6

= (42,6) = 42! / 6! ( 42 - 6)!

              = 42! / 6! 36!

              = 3776965920

              = 5245786

P(E) = E / A

       = 5245786/12271512

       = 0.427

c) 56

(n,k) = n! / r! (n-r)!

n = 56

r = 6

56C6

=(56,6) = 56! / 6! ( 56- 6)!

            = 56! / 6! ( 50 )!

            = 56*55*54*53*52*51*50! / 6! 50!

            = 23377273920/6

            = 32468436

Let E be the event of selecting none of the correct six integers.

So using combinations we can find the total number of ways of selecting none of 6 integers from 56

n = 56 - 6 = 50

(50,6) = 50! / 6! ( 50- 6)!

           = 50*49*48*47*46*45*44! / 44! 6!

           = 11441304000 / 6

           = 15890700

P(E) = E / A

       = 15890700 / 32468436

      = 0.489

d) 64

(n,k) = n! / r! (n-r)!

n = 64

r = 6

64C6

=(64,6) = 64! / 6! ( 64 - 6)!

            = 64! / 6! ( 58 )!

            = 64*63*62*61*60*59*58! / 6! 58!

            = 53981544960 / 720

            = 74974368

Let E be the event of selecting none of the correct six integers.

So using combinations we can find the total number of ways of selecting none of 6 integers from 64

n = 64 - 6 = 58

(58,6) = 58! / 6! ( 58- 6)!

           = 58*57*56*55*54*53*52! / 52! 6!

           = 29142257760/ 6

           = 40475358

P(E) = E / A

       = 40475358/ 74974368

      = 0.540

The probability of selecting none of the correct six integers in a lottery is, 0.350.

Number of integers given = 40

So, Total outcomes for choosing 6 from 40 integers.

         Number of arrangements [tex]=_{6}^{40}\textrm{C}[/tex]

                                                    [tex]=\frac{40!}{6!*34!} =3838380[/tex]

Since, we have to find probability of selecting none of the correct six integers in a lottery.

Remaining integer = 40 - 6 =34

Let favourable outcomes is selecting none of the correct six integers.

So, number of arrangements, = [tex]=_{6}^{34}\textrm{C}[/tex]

                                                 = [tex]\frac{34!}{6!*28!}=1344904[/tex]

Probability is defined as, divide favourable outcomes by total outcomes.

So, The probability of selecting none of the correct six integers in a lottery,

                            [tex]P=\frac{1344904}{3838380}=0.35[/tex]

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____________________________________________________________________
Bennett brings 3 gallons of water to his football game. His teammate, Jordan, brings 3 times as many gallons of water as Bennett. If one gallon of water contains 128 fluid ounces, how many ounces of water did Bennett and Jordan bring to their football game?

Answers

Answer:

It could be 768 fl. oz I think?

Step-by-step explanation:

Bennett has 3 gallons of water and Jordan has 3 times as many gallons as bennett

Let's calculate how many gallons do Jordan has

3*3 = 9

Jordan has 9 gallons of water

every gallon of water contains 128 fluid ounces

Benett

Benett has 3 gallons

so  the fluid ounces are given by : 3*128=384

Benett has 384 ounces

Jordan

Jordan has 9 gallons so 9*128 = 1152

so Jordan has 1152 fluid ounces

greatly appreciate help :) picture below

Answers

Answer:

The answer is None.

Step-by-step explanation:

I took the test on FLVS and I got the answer right.

I hope this helps. I am sorry if you get this wrong.

Answer:

None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.

Step-by-step explanation:

The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room.

Answers

According to the questionLet breadth be xSo length = 5/2. XNow perimeter of rectangle = 2(l+b).so70 = 2 × ( X + 5/2 X)35 = 7x/2x = 35 × 2/7x = 10So breadth = 10mlength = 5/2 × 10 = 25m

Answer:

Length = 25 cmBreadth = 10 cm

Step-by-step explanation:

Let breadth of the room be 'x'

Let length of the room be '[tex]2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x[/tex]'

Perimeter ( P ) = 70 cm

Now, let's find the breadth of the room 'x '

Perimeter of rectangle = [tex]2(l + b)[/tex]

plug the values

[tex]70 = 2(2.5x + x)[/tex]

Collect the like terms

[tex]70 = 2 \times 3.5x[/tex]

Calculate the product

[tex]70 = 7x[/tex]

Swap the sides of the equation

[tex]7x = 70[/tex]

Divide both sides of the equation by 7

[tex] \frac{7x}{7} = \frac{70}{7} [/tex]

Calculate

[tex]x = 10 \: cm[/tex]

Breadth = 10 cm

Now, Let's find the length of the room ' 2.5x '

Length of the room = [tex]2.5x[/tex]

Plug the value of X

[tex] = 2.5 \times 10[/tex]

Calculate the product

[tex] = 25 \: cm[/tex]

Thus , The length and breadth of the room is 25 cm and 10 cm respectively.

Hope this helps..

Best regards!!

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

A. add x, subtract 1, divide by 4
B. add x, subtract 4, divide by 4
C. subtract 3x, subtract 4, divide by 4
D. subtract 3x, subtract 4, divide by -4
E. subtract 1, add x, divide by 4

Answers

Answer :

A. add x, subtract 1, divide by 4

D. subtract 3x, subtract 4, divide by -4

Step-by-step-explanation : Further explanation

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+3x-1=-x+4-1\\Simplify\\3x=-x+3\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\3x+x=-x+3+x\\Simplify\\4x=3\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4x}{4}=\frac{3}{4}\\x=\frac{3}{4}[/tex]

I hope it helps:)

Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB

Answers

Answer:

m∠DEA = 62°

m∠ADB (arc) = 194°

Angle ∠ADB   = 21°.

Step-by-step explanation:

The given information are;

[tex]AB\left | \right |DC[/tex], m CB (arc) = 62°, m∠DAB (arc) = 104°

arc∠BCD = 360° - 104° = 256°

m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)

Therefore DC (arc) = 194°

m DA ≅ m CB =  62° (Parallel lines congruent arc theorem. Arc between two parallel lines)

m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°

m∠DEA = 62°

Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°

m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)

∴  m∠ADB (arc) = 360 - 104 - 62 = 194°

m∠ADB (arc) = 194°

Angle ADB = subtended by arc AB = ∴1/2×arc AB

Angle ∠ADB  = 42/2 = 21°.

Angle = 21°

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