Find the value of x in each case

Find The Value Of X In Each Case

Answers

Answer 1

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5


Related Questions

Examine the linear relationships.

Linear equation A: y=45x
Linear equation B is represented by this graph.


A line that passes through points (0, 2) and (5, 4).

© 2017 StrongMind. Created using GeoGebra.


Which statement is entirely correct?

Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than

Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than

Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than

Equation B has a steeper slope, because 52 is greater than 45.

Answers

Using linear functions, it is found that the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

a is the slope, which is the rate of change.The higher the slope, the steeper the function is:

Linear equation A is given by:

[tex]y = \frac{4}{5}x[/tex]

Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:

[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]

Equation A has a higher slope, hence, it is steeper, and the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A similar problem is given at https://brainly.com/question/20386726

Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9

Answers

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?

Answers

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

pls pls pls helpe with this:((((((​

Answers

Step-by-step explanation:

9. option B

3,13

13 = 5(3) - 2

13 = 15 - 12 → 13 = 13

It’s B
Hope it helps!

1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)

Answers

Answer:

In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.

Hope this helps

Step-by-step explanation:

Does 2/3 = 4/9? Explain

Answers

Answer:

No

Step-by-step explanation:

2/3 > 1/2

4/9 < 1/2

Answer:

The left side ( [tex]\frac{2}{3}[/tex] )

0.6 (bar notation)  

does not equal to the right side ( [tex]\frac{4}{9}[/tex] )

0.4 (bar notation)

, which means that the given statement is false.

False

2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.

Answers

Answer:

Length=22 cm

Step-by-step explanation:

Perimeter=56 cm

let width=x

According to given condition:

length=4x-2 ...........(A)

Perimeter=2(length+width)

Substitute the values in above formula:

56cm=2(4x-2+x)

56cm=2(5x-2)

56cm=10x-4

(56+4)=10x

60 cm=10x

x=60cm/10

x=6cm

For the value of length :

Substitute the value of x in equation (A):

Length=4x-2

Length=4(6)-2 cm

Length=24-2 cm

Length=22 cm

If you have any confusion in this question, please let me know.

540 men can construct a bulding in 7 month. How many man should be removed from workerto finish the building in 9 month

Answers

Answer:Arms: 6 – 8 sets per week. Core: 10 – 12 sets per week. These set guidelines are a really good starting point for building muscle after 50. Remember, more is not always better

Step-by-step explanation:

1.) A desk at Target sales for $150.00. Sales tax is 8.5%. What is the total cost
the desk including sales tax? (1 pt)
Answer

Answers

Answer:

$162.75

Step-by-step explanation:

150 * 1.085 = 162.75

The answer please it’s from khan academy

Answers

Answer:

Step-by-step explanation:

Before removing brackets, multiply everything inside them by two.

2*1/5 m - 2 * 2/5 + 3/5

2/5 m - 4/5 + 3/5

2/5 m - 1/5

That's as much as you can do. No further reduction is possible.

Answer:

[tex]\frac{2m-1}{5}[/tex]

Step-by-step explanation:

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

First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:

[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]

Merge the denominators:

[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]

Simplify:

[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]

Merge the denominators again:

[tex]\frac{2m-4+3}{5}[/tex]

Simplify one final time:

[tex]\frac{2m-1}{5}[/tex]

Please mark brainliest if this helps you, and I can provide more information if needed.

Nadia charges $7.00 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.70 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?​

Answers

Answer:

35

Step-by-step explanation:

19+19.50=38.5

38.5×7=269.5

269.5÷7.70=35

A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons

Answers

Answer:

1/3 hours : 22 gallons

1.5 hours : 99 gallons

Step-by-step explanation:

set a proportion fo all of them

x hours : 22 gallons:

66 22

--- = ---

60 x

22/66 = 0.3333333333333 x 60

= 20 and convert to fraction

20/60 simplified is 1/3

1.5 hours : x gallons

66 x

-- = ---

1 1.5

1.5 / 1 = 1.5

1.5 x 66 = 99

x = 99

how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction? ​

Answers

Step-by-step explanation:

63/56 = 9/8 = 1⅛.

hope this helps you.

Answer:

1 1/8.

Step-by-step explanation:

First divide 63 by 56 .

This gives 1 with a remainder of 7.

So we can write the mixed number as 1 7/56.

This simplifies to 1 1/8.

What is the value of the first term in an=n+6?​

Answers

the first term would be 7.

Please help I really need help if right you get Branly please help.

Answers

[1] 1/2

    - It will be 1/2 as large because of the scale factor

[2] 1/4

    - 1/2 * 1/2 = 1/4

[3] (1/2)n

    - For every scale factor (n), there will be a chance of 1/2

Have a nice day! - I know I answered this elsewhere, I saw it twice haha

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

I need help with this what is 4x58

Answers

Answer:

232

Step-by-step explanation:

4*58=232

Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?

Answers

Answer: 0.48

Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.

$5.76 / 12 = $0.48

The price per ear of corn is $0.48

If x = 100, what is the value of x(x-4)?

Answers

Answer:

9,600

Step-by-step explanation:

100-4 is 96

96 times 100 is 9600

9600 I’m sure stay safe

Can someone help me plzzzzz

Answers

It would be 6 I think
6 will be its I had the same thing

What is the square root of r^64

Answers

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Solve the equation-10 +1 +7x =37

Answers

Answer:

Answer in Explanation

Step-by-step explanation:

-10 + 1 + 7x = 37

-9 + 7x = 37

Add 9 on both sides to leave 7x alone

7x = 46

Divide by 7 to leave x alone

x = 46/7 or 6.57

If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:

10 + 1 + 7x = 37

11 + 7x = 37

Subtract 11 from both sides to leave 7x alone

7x = 26

Divide by 7 to leave x alone

x = 26/7 or 3.7

Find x in terms of the other letters a( x + b ) = c( x + d )

Answers

Answer:

[tex]x=\frac{cd-ab}{a-c}[/tex]

Step-by-step explanation:

The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.

First step is to distribute the a and c on either side,

ax+ab=cx+cd

Subtract cx from both sides,

ax+ab-cx=cd

Next, subtract ab from both sides,

ax-cx=cd-ab

Then, factor out x from the left side,

x(a-c)=cd-ab

Finally, divide both sides by a-c,

[tex]x=\frac{cd-ab}{a-c}[/tex]

A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..

Answers

Answer:

B. 117, 89, 61, 33...

Step-by-step explanation:

Starting point is 117 and common difference is - 28.

The first 4 terms are:

117117 - 28 = 8989 - 28 = 6161 - 28 = 33

Correct sequence is B

hihii who knows the answer to this question??

Answers

X times 2+11
Explaination me smart

Part A

x = some unknown number

2x = doubling that number

2x+11 = adding on eleven

Answer:   2x+11 = 25

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

Part B

If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.

So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.

2x+11 = 25

2x+11-11 = 25-11 ..... subtract 11 from both sides

2x = 14

2x/2 = 14/2 ...... divide both sides by 2

x = 7

The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.

Answer:  x = 7

12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!

Answers

Answer:

57.142%

Step-by-step explanation:

28-12=16

16/28*100=57.142%

Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?

Answers

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

What is the length of MN


PLZ HELP

Answers

The answer is 5 because you take away an x for 3x to get 2x so 2x=10
Then divide the 10 by 2 to get x=5

2315 x 584 / 591 x 841

Answers

Answer:

About 2.72 rounded

Step-by-step explanation:

PEMDAS

:))

Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct

Answers

Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.

Diagram is below.

Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer..​

Answers

Answer:

Length of side of square=25ft

Length of three sides=3(25)=75ft

3ft=1m75ft=15m

Cost per metre=15.00

Total cost:-

[tex]\\ \sf\longmapsto 15(15)=225.00[/tex]

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