If m angle EFH = (5x+1), m angle HFG = 62 degrees, m angle EFG = (18x+11), find each measure

Answer:

B. 3x10^4

Step-by-step explanation:

9x10^-8 = 0.00000009

3x10^-12 = 0.000000000003

0.00000009 / 0.000000000003 = 30,000

3x10^4 = 3x10,000 = 30,000

Given a₁ = 100, r=-20, the explicit formula of the geometric sequence is: a(n) = 100 . (-20)ⁿ⁻¹, and the first five terms are: 100, -2000, 40000,  -800000, 16000000

Let

a₁ = the first term

r = ratio

The n-th term of a geometric sequence is given by:

a(n) = a₁ . r^(n-1)

To find the explicit formula, substitute a₁ = 100, r=-20

a(n) = 100 . (-20)ⁿ⁻¹

The first 5 terms:

a₁ = 100

a(2) = 100 . (-20)²⁻¹

       = 100 . (-20)¹ = -2,000

a(3) = 100 . (-20)³⁻¹

       = 100 . (-20)² = 40,000

a(4) = 100 . (-20)⁴⁻¹

       = 100 . (-20)³ = -800,000

a(5) = 100 . (-20)⁵⁻¹

       = 100 . (-20)⁴ = 16,000,000

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Answer:

c

Step-by-step explanation:

(a) A regular 16- gon is a convex polygon ← True

(b) It has 16 congruent sides ← True

(c)

the sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 16 , then

sum = 180° × 14 = 2520°

thus 2880° is False

(d)

the sum of the exterior angles of any polygon = 360° ← True

Area of Rectangle :42 [tex]cm^{2}[/tex]

To calculate the shaded area, first calculate the overall area and then deduct the areas of the four little rectangles.

The following are the dimensions of the large rectangle:

The length is merely one of the little rectangles' length: 7

The width is equal to the length of one of the tiny rectangles plus the width of two of the small rectangles, thus 7 + 0.5 + 0.5 = 8.

As a result, the area of the largest rectangle is 7 × 8 = 56 cm^2.

We must now calculate the areas of the four smaller rectangles. It's simply length multiplied by width:

7 ×0.5 = 3.5

Because there are four rectangles, multiply by four:

14 cm squared = 3.5 ×4

Finally, the shaded area is calculated as 56 - 14 = 42 cm squared.

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Quinn, the student, is the fastest

Quinn: 30/60, or 1/2 page per second.

Quinn is the fastest student when it comes to folding pamphlets.

A polynomial divided by another polynomial is a rational function. The domain of a rational function is the set of all numbers excluding the denominator's zeros because polynomials are defined everywhere.

A rational function in mathematics is any function that can be defined by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials.

Find the folding speed of the students per second.

Neiva: 1/3 pages per second.

Sarah: 2/10 or 1/5 pages per second.

Quinn: 30/60 or 1/2 pages per second.

Deron: 45/120 or 3/8 pages per second.

Among these students, Quinn is the fastest student in folding pamphlets.

Therefore, the correct answer is option b. Quinn.

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Answer:

D

Step-by-step explanation:

point P is in plane Z not plane X

Answer:

[tex]p=11[/tex]

Step-by-step explanation:

[tex](5p+7)+(3p-5)=90\\8p+2=90\\8p=88\\p=11[/tex]

Brainliest Answer Please

The Final value for the given question is 11 /5.

x / 11 = 13 / 65 is the given expression.

Here, we must determine the value of 'x' in the preceding expression.

We get by multiplying '11' on both sides

= x * 11 / 11 = 13 * 11  / 65

By canceling common numbers on the numerator and denominator we get

= x  = 13 * 11 / 65

= x = 11 / 5

Therefore, the correct value for x is 11 /5.

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The coordinate of point L of the given square is; (0, 15)

Some of the properties of a square are that;

All four sides of a square are equal

All internal angles are equal to 90°

All internal angles are equal to each other

Diagonals intersect at right angles

No, from the given square we see that the coordinates are;

K(0, 0) and R(15, 0)

Since side KR would have a length of 15 units, then KL would also be equal to 15 units.

Thus, coordinate of point L is; (0, 15)

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The inequality or equality that describes the following situation is; m ≤ 77 marbles.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Also set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

We need to find the inequality or equality that describes the following situation; Juan has over 77 marbles.

Let the marbles juan has m then

The  inequality or equality that describes the following situation is;

m ≤ 77 marbles.

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Answer:

D.) 14/9

Step-by-step explanation:

Remove parenthesis and add

8/9 + 2/3

Get LCD of 9

8/9 + 6/9 = 14/9

Answer:

Answer:

Step-by-step explanation:

A line segment is connected to the line or was formerly part of the line.

A line segment has an end and is a distance between two points, while a line could be undefinably long.

Line segments are finite between two points, while rays are just line segments that extend indefinitely into one direction.

A ray only has one endpoint. Line segments have two

Step-by-step explanation:

1.x+1

1+1 is 2

AB has a magnitude of 9√6 according to estimates.

AB's vector direction is given as Ф = 84.80° (angle which lies in the 4th quadrant with clockwise direction).

In complex numbers, the distance formula is employed to demonstrate the plane as well as its magnitude. Furthermore, distance formulas can be used to calculate the distance between two planes in three-dimensional and n-dimensional planes.

Now, in response to the given question;

J and K have (-1,10) and (1,-12) coordinates, respectively.

The distance formula for the points A and B is as follows:

AB² = (x₂ - x₁)² + (y₂ - y₁)²

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

The coordinates for the points A and B's  are-

(x₁,y₁) = (-1,10)   and (x₂,y₂) = (1,-12).

Substituting the given values in the distance formula;

AB = √[(1 + 1)² + (-12 - 10)²]

AB = √[(2)² + (-22)²]

AB = √[4 + 484] = √486

AB  = 9√6 (magnitude of the vector AB)

Estimate this same vector AB's direction now. The direction of a vector is defined by the angle formed by it with a horizontal line.

To determine the direction of a vector, utilize one of the formula given.

tan Ф = Δy/Δx

Where, x = horizontal change

and, y = vertical change

tan Ф = (y₂ - y₁)/(x₂ - x₁)

       = (-12 - 10)/(1 + 1)

tan Ф = -22/(2) = -11

Ф = 84.80°  (angle which lies in the 4th quadrant with clockwise direction).

As a result, this same distance between A and B is discovered to be 9√6 (the same as the magnitude of a given vector AB).

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Answer:

$340 per week

Step-by-step explanation:

$40 hours a week

$8.50  per hour

40x8.5=weekly pay

40x8.5=340

Answer:

t < -6 (the other part of the question I don't understand)

Step-by-step explanation:

2t < 5 - 17

2t < - 12

t < - 12 /2

t < -6

Answer:

216

Step-by-step explanation:

Assuming that it is in centimetres, what we have to do is multiply the width by the length. Therefore we have to do 12×18, which equals 216

Answer:Area = w multiplied by l

12*18

=216

pls mark brainliest

Step-by-step explanation:

The first paycheck payment to the independent contractor is $4,615.38

Dr. salaries and wages expense $4,615.38

Cr. salaries and wages payable                     $4,615.38

What is the amount of first  bi-weekly pay to the contractors?

On the basis that there are 52 weeks in a year, hence, there would be 26 bi-weeks in a year, in order to determine the amount of first paycheck payment to the independent contractor, we simply divide the annual cost of contract by 26 bi-weeks in a year.

first paycheck payment =annual contract fees/26 bi-weeks

first paycheck payment =$120,000/26

first paycheck payment =$4,615.38

The paycheck refers to first 2 weeks which ends on on 12th January, whereas the actual payment would occur a week later on 19th of January, as a result, the amount is owed until 19th January, which means that salaries and wages expense would be debited and salaries and wages payable would be credited until actual payment is made on the 19th of January.

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The  greatest number of goodie bags he can make is 18.

The number of coloring books that would be in each bag is 4

The number of markers that would be in each bag is 5

The number of chocolate that would be in each bag is 18

The greatest number of goodie bags he can make can be determined by calculating the highest common factor of 72, 90, 180.

The factor of a number is a number that perfectly divides another number. For example, the factors of 18 are 1, 2, 3, 6, 9, 18. The highest common factor is the highest factor of two or more numbers. The highest common factor of 4 and 8 is 4.

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

Factors of 180 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180.

Common factors = 1, 2, 3, 6, 9, 18

Highest common factor = 18

The number of coloring books that would be in each bag = 72 / 18 = 4

The number of markers that would be in each bag =90 / 18 = 5

The number of chocolate that would be in each bag = 180 / 18 = 18

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Answer: The answer is 304

Step-by-step explanation: The way to divide this is putting it this way 2432/8.

Answer:

arithmetic

Step-by-step explanation:

Answer:

X is the value of cordinatinate so X is 1

Answer:

A) 96°

B) 84°

C) 84°

D) 96°

Step-by-step explanation:

∠2 = ∠5 = (180-84)° = 96°

∠3 = ∠4 = 84°

Hope this helps

Joseph needs 22.4 packets of orange drink mix which requires one packet of orange drink mix for every half gallon.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

We have been given that Joseph is mixing 5 1/2 gallons of orange drink for his class picnic.

And every 1/2 gallon requires 1 packet of orange drink mix.

We have to determine the number of packets of orange drink mix Joseph needs.

Let the number of packets of orange would be x

We can write this as a ratio as

1/2 gallon : 1 packet = 5 1/2 gallons : x packets

0.5 gallon : 1 packet = 11.2 gallons : x packets

⇒ x = 11.2/0.5

⇒ x = 22.4

Therefore, he needs 22.4 packets of orange drink mix.

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According to estimates, FG has a magnitude of 2√5.

The vector direction of FG is given as = 63.43°. (angle formed in the 1st quadrant with anti-clockwise direction).

The distance formula is used in complex numbers to show the plane in addition to its magnitude. Distance formulas can also be used to determine the actual the distances between two planes in three- and n-dimensional planes.

Now, in answer to the question posed;

F and G have coordinates of (-1,10) and (1,-12), respectively.

The formula for calculating the distance between points A and B is as follows:

FG² = (x₂ - x₁)² + (y₂ - y₁)²

FG = √[(x₂ - x₁)² + (y₂ - y₁)²]

The coordinates for the points F and G's  are-

(x₁,y₁) = (-4,0)   and (x₂,y₂) = (-6,-4).

Substituting the given values in the distance formula;

FG = √[(-6 + 4)² + (-4 + 0)²]

FG = √[(-2)² + (-4)²]

FG = √[4 + 16] = √20

FG  = 2√5 (magnitude of the vector FG)

Estimate the direction of this same vector FG now. The angle formed by a vector with a horizontal line defines its direction.

Use one of the following formulas to calculate the direction of a vector.

tan Ф = Δy/Δx

Where, x = horizontal change

and, y = vertical change

tan Ф = (y₂ - y₁)/(x₂ - x₁)

      = (-4 + 0)/(-6 + 4)

tan Ф = -4/(-2) = 2

Ф = 63.43°  (angle lies with in the first quadrant with anticlockwise direction).

As a result, the distance between F and G is determined to be 2√5. (the same as the magnitude of a given vector FG).

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