m∠1 = (4x + 9)° and m∠2 = (x − 14)° in the given figure. Find x.

An image of two parallel lines and two transversals.

Question 13 options:

7


19


8


37

Answer:

it's b

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

1,800 people represent 100 % of people

  810  people represent     x % of people

once you line up people and percent in columns think cross multiplication

x= 810*100/1,800 = 10 %

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.

The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,

Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21

Total days = 322

The accumulated amount in the savings account on 21 November 2020 will be given as,

I = [$7,800 x 6.2 x (322 / 365)] / 100

I = $426.63

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

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The complete table is given below.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

Time after         change in water     expression      water in tank  

sensor starts

0                              0                        770 + (0)(-14)        770

1                             -14                        770 + (1)(-14)         756

5                            -70                       770 + (5)(-14)        700

10                          -140                      770 + (10)(-14)       630

2)

Time after         change in water     expression      water in tank  

sensor starts

1                           -14                          770 + (1)(-14)         756

0                          0                           770 + (0)(-14)        770

-1                           14                          770 + (-1)(-14)        784

-2                          28                         770 + (-2)(14)        798
-3                          42                         770 + (-3)(14)         812

-4                          56                         770 + (-4)(14)         826

-5                          70                          770 + (-5)(-14)       840

Thus,

The complete table is given above.

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The complete question is given below.

Answer:

x=29

Step-by-step explanation:

(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)

2x-2+x+5=90

3x+3=90

3x=87

x=29

Answer:

x ≈ 8.5 cm

Step-by-step explanation:

Law of Sines

a/sinA = b/sinB

---------------------------

x/sin89 = 8/sin70

multiply both sides by sin89

x = 8/sin70 * sin89

Breakout the calculator

x = 8.512125544373626

x ≈ 8.5 cm

According to the Central Angle Theorem, the central angle occupied by two points on a circle will always be twice the inscribed angle occupied by those same two points, therefore ∠ABC = 1/2 × 56 = 28°.

Since subtended and inscribed angles are mentioned in the definition, we must first understand them in order to understand the central angle theorem. An object at a specific outer position forms an angle known as a subtended angle.

If you disagree with that definition, think about this: On Earth, you are standing and gazing up at the sun. A triangle with three sides is created. The sun's height, the sun ray that travels from the bottom of the sun to your eyes, and these three directions are the three sides of the sun.

The Central Angle Theorem states that the central angle occupied by two points on a circle is always twice the inscribed angle occupied by those same two points.

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In the right triangle in the figure the value of x is solved to be 4.5

Using SOH CAH TOA for the right triangle

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The figures show that

hypotenuse = 6

adjacent = x

given angle = 41 degrees

The value of x will be calculated using cos, CAH let the angle be y

cos y = adjacent / hypotenuse

cos 41 = x / 6

x = 6 * cos 41

x = 4.528

x = 4.5

Hence the value of x is 4.5

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The perimeter of the rectangle is 19n + 7.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,

perimeter of a rectangle = 2(l + w)

where

Therefore,

w = 6n - 3.5

l = 3.5n + 7

Hence,

perimeter of a rectangle = 2(6n - 3.5 +  3.5n + 7)

perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)

perimeter of a rectangle = 2(9.5n + 3.5)

perimeter of a rectangle = 19n + 7

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Answer:

B. f and g are reflections of each other about the x-axis.

Step-by-step explanation:

I calculated it logically

Answer:

For what-

Step-by-step explanation:

huh

Answer:

whats this for....

have a good day :)

Step-by-step explanation:

Answer:

y-int = 0

slope = -1

equation: y = -x

Step-by-step explanation:

The line crosses the y-axis at y = 0, so the y-intercept is 0.

Go from (0, 0) to (-1, 1).

slope = m = rise/run = 1/(-1) = -1

y = mx + b

y = -x

y-int = 0

slope = -1

equation: y = -x

Answer:

Step-by-step explanation:

Approximate APR (annual percentage rate) is:

Correct choice is B

Answer:

29 degrees I think

Step-by-step explanation:

Divide or multiply the output by a constant to expand or contract the graph in the y direction.

2f (x) is stretched by a factor of 2 in the y direction, and f (x) is contracted by a factor of 2 in the y direction (or stretched by a factor of ).

The y = f (x), y = 2f (x), and y = x graphs are shown here.

This is the difference quotient:

f (x + h) - f(x ) /h

quotient of difference

and f(x) = x3; thus, the difference quotient for this function is

(x + h)³ - x³ / h

quotient of difference.

The numerator can now be simplified by expanding (x + h)3 as (x + h)2(x + h), however I advise factoring (x + h)3 - x3 as a difference of cubes.

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Answer:

n = -4/9

Step-by-step explanation:

first get rid of n on left side

-2 = 9n + 2

Get rid of 2 on right side

-4 = 9n

Make 9n into n

-4/9 = n

ans: n = -4/9

hope this helps :)

The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.

The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.

Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.

Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.

The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.

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Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The rate at which the oil burns.

1 hour = 2/3 ounce

At 12 noon = 193/3 = 64.33 ounces

At 2 pm = 63 ounces

At 5 pm = 61 ounces

The amount of oil at 12 noon is 64.33 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.

At 2 p.m., the amount of oil left in the lantern is 63 ounces.

At 5 p.m., the amount of oil left in the lantern is 61 ounces.

This means,

Amount of oil burnt in the lantern from 2 pm to 5 pm.

= 63 ounces - 61 ounces

= 2 ounces

Now,

3 hours = 2 ounces

2 hours = 1.33 ounces

1 hour = 0.67 ounces

Now,

The number of hours from 12 noon to 2 pm.

= 2 hours

So,

The amount of oil at 12 noon.

= 63 + 4/3

= (189 + 4) / 3

= 193/3 ounces

Thus,

The amount of oil at 12 noon is 65 ounces.

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Answer:

Find the surface area of her notebook.

30 + 30 + 20 + 20 = 100

Now find the surface area of the square stickers.

2 + 2 + 2 + 2 = 8

So this is the surface area of one square, now multiply it by 8.

8 * 7 = 56

This is the surface area of all the stickers, now subtract it to the surface area of the notebook:

100 - 56 = 44

So 44 centimeters of the notebook cover will still be showing.

Step-by-step explanation:

Hello there!

Answer:

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Step-by-step explanation:

We should know 2 important formulas:

Circumference: [tex]l = 2\pi r[/tex]

Area: [tex]S = \pi r^{2}[/tex]

So we need to find the value of r (radius) which equal to a half of diameter:

[tex]r = d/2[/tex]

[tex]r = 1.8/2 = 0.9(m)[/tex]

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

it's none of the above its 27.5

The car travels at the speed of 68 miles per hour.

Billy made error on substitution process.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

The graph shows a proportional relationship between the distance traveled in miles and time in hours.

That means,

distance traveled in miles/ time in hours = k,

where k is a proportional constant.

Here, k is the speed.

The incorrect speed is,

1/68 miles per hour.

k = 1/68.

From the graph,

distance = 272 miles

And the corresponding time is 4 hours.

So, the speed,

= distance / time

The speed = 272 / 4

The speed = 68 miles per hour.

Billy made the error of not substituting the right values to the formula.

Therefore, the speed of the car is 68 miles per hour.

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The complete question is given in the attached image.

Answer:

FAIL TO REJECT

NOT ENOUGH

Step-by-step explanation:

Given a Pvalue of 0.32

Decision region :

When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.

Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis

Therefore, for the scenario above, where Pvalue = 0.32

Possible α values are ; 0.1, 0.05, 0.01

For all α - values listed, the Pvalue is greater than α

Pvalue > α ; Hence, FAIL TO REJECT the Null.

Conclusion :

There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.

Answer:

386

Step-by-step explanation:

4+4+5x2x5+(3+3+3)x6x6+2+2

=4+4+5x2x5+9x6x6+2+2

=4+4+50+324+2+2

=386

Answer:

$62

Step-by-step explanation:

First, convert 15.5% to a decimal by dividing by 100

15.5/100 = 0.155

Then multiply that by $400

400 x 0.155 = $62

Answer:

The answer is Michelle will earn $62 dollars commission selling $400 dollars.

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

Answer:

a₀ = 0

aₙ = aₙ₋₁ + 2ⁿ⁻¹

Step-by-step explanation:

a₀ = 0

aₙ = aₙ₋₁ + 2ⁿ⁻¹

a₁ = a₀ + 2¹⁻¹ = 0 + 2⁰ = 1

a₂ = 1 + 2²⁻¹ = 3

a₃ = 3 + 2³⁻¹ = 7

..............

Answer:

p=43

Step-by-step explanation:

(p+7)+(3p+1)=180

Answer: 0 = 3

Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.

                                                                    - 7            - 7

                                                               --------------------------

                                                               3x - 3x        = 3

                                                                       0          = 3