If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.

If Angle DEG Is 8x + 14 And Angle GEF Is 8x - 7, The Measure Of Angle DEG Is ___ Degrees.

Answers

Answer 1

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5


Related Questions

Solve the equation. Check your answer. 27=9x+2-4x

Plz help
The x's are varibles not multiplication btw

Answers

Step-by-step explanation:

27=9x+2-4x

or, 27-2=9x-4x

or,25=5x

or,25/5=X

so, X=5

Given: 40,905; 40,509; 40,095; and 40,059, the correct arrangement of these numbers from the least to the greatest value is:

40,905; 40,509; 40,095; and 40,059.
40,059; 40,095, 40,509; and 40,905.
40,059; 40,095; 40,905; and 40,509.
40,095; 40,059; 40,509; and 40,905.
40,509; 40,905; 40,095; and 40,059.

Answers

Answer:

Step-by-step explanation:

40905

40509

50095

40059

Is greatest to least. You want it to go the other way around.

40059

40095

40509

40905

The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.

A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimeters per minute. And find the angular speed of the CD in radians per minute

Answers

9514 1404 393

Answer:

16,965 mm/min90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

The manager at a computer recycling plant says it takes workers a minimum of 120 seconds to break down a computer monitor. The exact amount of time depends on the number of screws in the computer that must be removed. It takes 10 seconds to remove each screw, and then an additional 30 seconds to sort the computer parts into their appropriate containers for recycling. Write an inequality that determines the minimum number of screws that are in each computer monitor.

Answers

Answer: 120 + 10s + 30

Step-by-step explanation:

120 + 10s + 30

let "s" be the amount of screws

(7 - 1) to the 2 power plus 2 and to the 4 power - 8

Answers

The answer is 56. work is shown below.

Step 1: apply 2nd power to everything inside parentheses

(7 - 1)² = 7² - 1²

Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).

1 x 1 = 1

7 x 7 = 49

Step 3: subtract

49 - 1 = 48

Step 4: apply exponent

2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)

2 x 2 = 4

2 x 2 = 4

4 x 4 = 16

2⁴ = 16

Step 5: add

48 + 16 = 64

Step 6 (final step): subtract

64 - 8 = 56

final answer: 56

I need help with this.

simplify
[tex] \sqrt{?} 121[/tex]

Answers

The answer is 11. Think of it as 11 x 11 for this one. 11 x 11 is 121. A method that always helps me is using long division.

What is 5 * 5 * 2 * 2 * 2 in standard form

Answers

Answer:

50000 5000 200 20 2

Step-by-step explanation:


Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations

Answers

Answer:

what elevation there is no elevation

Step-by-step explanation:

pew pew

Answer:duhh

Step-by-step explanation:

Question 7 of 10 Which of the following is most likely the next step in the series? A B. C. D.
please help if you can​

Answers

Answer:

I choose option d it maybe the answer

Answer:

D

Step-by-step explanation:

The number of sides increase by 1 each time

Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!

Answers

Refer to the equation y=mx+c

Calculate the area of this section of floor in square feet.

Answers

Answer:

A total= 0.6703125 ft²

Step-by-step explanation:

A1= 3.9× 14.3= 55.77 in²

A2=1/2 × 14.3× ( 9.6-3.9)= 40.755 in²

A total= A1+ A2= 55.77+40.755=96.525 in²

1 ft= 12 in , 1ft²= 144 in²

Atotal= 96.525÷144= 0.6703125 ft²

[tex]-4\sqrt{28x}[/tex] times [tex]\sqrt{7x^3}[/tex]

Answers

Answer:

[tex] {56x}^{2} [/tex]

Step-by-step explanation:

[tex] - 4 \sqrt{28x} \times \sqrt{ {7x}^{3} } [/tex]

[tex] = -4 \times 2 \sqrt{7x} \times \sqrt{7x} [/tex]

[tex] = - 4 \times 2 \times 7x \times x[/tex]

[tex] = {56x}^{2} [/tex]

Resuelve las siguientes ecuaciones
a. 3x + 30 = 80 + 2x​

Answers

Answer:

3x + 30 = 80 + 2x

3x – 2x = 80 –30

x= 50

I hope I helped you^_^

Answer:

x=50

Step-by-step explanation:

3x + 30 = 80 + 2x​

subtract 2x from both sides

1x + 30 = 80

subtract 30 from both sides

x=50

Find the HCF of 1045 and 1520 by long division. Method​ plsss

Answers

Answer:

95

Step-by-step explanation:

you can watch answer in photo. by the way where r u from?

Answer:

I hope it helped U

stay safe stay happy ❤️❤️

if the 6th term of an A.p is 11and its first term is 1 find the common diferent​

Answers

Answer:

[tex]thank \: you[/tex]

Answer: common diff = 2

Explanation:

Common diff = (11 - 1)/(6 - 1) = 10/5 = 2

Several probability expressions for a normal distribution are provided below. Drag the correct percentage to each probability expression.
Items
a. 68%
b. 47.5%
c. 13.5%
d. 2.5%
Category
1) P(?-2??x??)
2) P(?-??x??+?)
3) P(?+2??x)
4) P(?-2??x??-?)

Answers

The appropriate distribution of the percentages are :

P(μ-2σ≤x≤μ) = 47.5%

P(μ-σ≤x≤μ+σ) = 68%

P(μ-2σ≤x) = 2.5%

P(μ-2σ≤x≤μ-σ) = 13.5%

For a normal distribution :

The mean, μ = 0

The mean, μ = 0The standard deviation, σ = 1

Therefore :

P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)

P(x≤μ) - P(x≤μ-2σ)

P(Z ≤ μ) - P(Z ≤ 2(1))

P(Z ≤ 0) - P(Z ≤ 2)

Using the normal distribution table :

0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)

P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)

P(x≤μ+σ) - P(x≤μ-σ)

P(Z ≤ μ+σ) - P(Z ≤ μ-σ)

P(Z ≤ (0+1) - P(Z ≤ 0-1)

P(Z ≤ 1) - P(Z ≤ - 1)

Using the normal distribution table /

0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)

P(μ-2σ≤x) = P(μ-2σ)

P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))

P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)

P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)

P(x≤μ-σ) - P(x≤μ-2σ)

P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)

P(Z ≤ (0-1) - P(Z ≤ 0-2(1))

P(Z ≤ -1) - P(Z ≤ -2)

From normal distribution table :

0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%

Learn more : https://brainly.com/question/14308582

Sarah, Bob and Nellie are cousins. Sarah is half the age of Bob. In three years time Nellie will be twice as old as Sarah. Their ages at the moment add to 38 years. Determine the ages of Sarah, Bob and Nellie

Answers

9514 1404 393

Answer:

Sarah is 7Bob is 14Nellie is 17

Step-by-step explanation:

Let s, b, n represent the current ages of Sarah, Bob, and Nellie, respectively.

  s = b/2 . . . . . . Sarah is half Bob's age

  2(s+3) = n+3 . . . . in 3 years, Nellie will be twice Sarah's age

  s + b + n = 38 . . . . . their ages now add to 38

__

We can rearrange the first two equations to find Bob and Nellie's age in terms of Sarah's. Then we can substitute into the third equation to find Sarah's age.

  b = 2s . . . . . . multiply the first equation by 2

  2s +3 = n . . . . subtract 3 from the second equation and simplify

  s +(2s) +(2s+3) = 38 . . . . substitute for b and n

  5s = 35 . . . . . . . . . . . . subtract 3, collect terms

  s = 7 . . . . . . . . . . . . divide by 5

  b = 2(7) = 14

  n = 2(7) +3 = 17

Sarah is 7, Bob is 14, and Nellie is 17.

The median speed at which Dave drove to work was __________. 63 miles per hour 62 miles per hour 58.89 miles per hour 59 miles per hour

Answers

Step-by-step explanation:

Dave run with was 63 miles

Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.

How much money is in your account after 18 months?

Answers

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Kaitlin recorded the results for a sample of 536 candies.
Color Counts Sample Proportion ()
Red 123 23%
Yellow 145 27%
Green 64 12%
Orange 129 24%
Purple 75 14%
The candy company claims that the distribution of each color is exactly 20%.
Select the observed and expected frequencies for the yellow candies.
a.) Observed: 145
Expected: 80.4
b.) Observed: 123
Expected: 80.4
c.) Observed: 107.2
Expected: 14
d.) Observed: 145
Expected: 107.2

Answers

Answer:

Observed: 145

Expected: 107.2

Step-by-step explanation:

to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.

To get the expected frequency, we use the formula:

n equals s a m p l e space s i z e equals 536

p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2

E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2

Answer: 104.5

107.2

Step-by-step explanation:

Write 7 hundred in standard form​

Answers

Answer:

700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

7 hundred in standard form is 700.

Q19. If 3x + 5x = -9, then x + 1 =
00
2

Answers

Step-by-step explanation:

8x=-9

x=-9/8

x+1=-9/8+1

x+1=-1/1

x+1=-1

How do you find the HCF of 15t and 6s?

Answers

Answer:

HCF=3

Step-by-step explanation:

Factors of 15t= 3*5*t

Factors of 6s= 2*3*s

HCF= Common factors

common factor = 3

HCF=3

how high is a tree that cast a 23ft shadow at the same time

a 9ft post casts a shadow which is 11ft long ​

Answers

Answer:

tree is about 18.82 ft high

Step-by-step explanation:

The triangles (that are formed by the tree and the poll with their shadows and the line from top to the end of the shadow) are in proportion because they cast the shadow at the same time.

x/9 = 23/11 , we write the proportions

x = 23*9 / 11, multiply both sides by 9

x ≈ 18.82 ft.

ii) Ramesh asked me where I lived. (into direct speech)​

Answers

Answer:

Ramesh asked me,"where do you live?"

Ramesh said to me," where do you live".

Help me pls!!!!!!!!!!!​

Answers

Answer:

.01 times

Step-by-step explanation:

Given the triangle below, find the angle θ in radians. Round to four decimal places.

Answers

Answer:

θ = 0.9626

Step-by-step explanation:

Hi there!

We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]

Use the inverse cosine ratio

[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

[tex]\displaystyle \theta=0.9626[/tex]

Therefore, θ = 0.9626 when rounded to four decimal places.

I hope this helps!

Answer:

theta = 0.9626 radians

Step-by-step explanation:

cos theta = a/h

cos theta = 4/7 = 0.5714

so, the angle theta = arc cos 0.5714 =

55.1520 °

in radians => 55.1520 × π / 180°

= 0.9626 radians

Please help


Solve the inequality.
1
X +
<-3 or x - 3>-2
2 –
x <
or x >[]

Answers

Answer:

x <_ - 3/0.5 or x > 1

Answer

The Pep Club planned to sell streamers for 50¢ each. They also raised $100 selling pom poms. How many streamers would they need to sell in order to raise a total of $150?​

Answers

Answer:

300 streamers

Step-by-step explanation:

Need help on #3 pliss

Answers

Answer:

B. 0.28

Step-by-step explanation:

Add all the sports up and you get 50

14 (soccer players)/50 (total number of students)

14/50 = 28/100 = 0.28

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