Given m || n, find the value of x and y

Answer:

There are three answers

Step-by-step explanation:

B is the image of D

B is the image of E

C is the image of D

Answer:

B is the image of D

B is the image of E

C is the image of D

Step-by-step explanation:

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Answer:

Add 4x to both sides.

Step-by-step explanation:

Adding 4x to both sides would move 'x' onto one side in a single step. The -9x and 4x would combine to make -5x.

\(-9x = -4x + 5\\\rule{150}{0.5}\\-9x + 4x = -4x + 4x + 5\\\\-5x = 5\\\\\frac{-5x=5}{-5x}\\\\\boxed{x=-1}\)

Hope this helps.

Answer:

D. add 4x to both sides

Step-by-step explanation:

:)

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:

Deon

Step-by-step explanation:

Gerain has 2 parts almonds in 5 parts total, i.e., 2/5 = 0.40

Deon has 3 parts almonds in 7 parts total, i.e., 3/7 ≈ 0.43

So Deon's concentration is higher

Answer:

Deon has a higher concentration

Step-by-step explanation:

Answer:

it not

Step-by-step explanation:

The actual elements of the sequence and their indexing can vary depending on the context in which the notation is used.

The expression "\(\(\left \langle a_{\alpha : \alpha \in Ord} \right \rangle\)\)" represents a sequence or a tuple of elements indexed by the ordinal numbers.
An example of this notation could be a sequence of real numbers indexed by the ordinal numbers.

For instance, consider the sequence \(\(\left \langle a_{\alpha : \alpha \in Ord} \right \rangle\)\) where \(\(a_{\alpha}\)\) is defined as follows:
- \(a_0 = 1\)
\(- \(a_1 = 2\)\)
\(- \(a_2 = 3\)\)
\(- \(a_3 = 4\)\)
- ...
\(- \(a_{\omega} = \omega + 1\)\)
\(- \(a_{\omega + 1} = \omega + 2\)\)
\(- \(a_{\omega + 2} = \omega + 3\)\)
- ...
\(- \(a_{\omega^2} = \omega^2 + 1\)\)
\(- \(a_{\omega^2 + 1} = \omega^2 + 2\)\)
\(- \(a_{\omega^2 + 2} = \omega^2 + 3\)\)
- ...
\(- \(a_{\omega^3} = \omega^3 + 1\)\)
\(- \(a_{\omega^3 + 1} = \omega^3 + 2\)\)
- ...
In this example, the index set is the set of all ordinal numbers, and the elements of the sequence are defined based on the ordinal numbers.

The sequence starts with the natural numbers, then proceeds to the numbers obtained by adding \(\omega\) to each natural number, and so on.
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The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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Answer:

The equation of the parallel  line to the given equation is

3 x-4 y = -4    and

The equation of the parallel  line to the given equation is

\(y = 1 + \frac{3 x}{4}\)

Step-by-step explanation:

Explanation:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

The equation of the parallel line to the given equation is

3 x - 4 y = k

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

The equation of the parallel  line to the given equation is

3 x- 4 y = -4

Dividing '4' on both sides , we get

\(\frac{3 x-4 y}{-4} = 1\)

\(\frac{-3 x}{4} +y =1\)

\(y = 1 + \frac{3 x}{4}\)

Conclusion:-

∴ The equation of the parallel  line to the given equation is

3 x- 4 y = -4

and

The equation of the parallel  line to the given equation is

\(y = 1 + \frac{3 x}{4}\)

Answer:

the answer is b and d edge 2021

Step-by-step explanation:

I am finished taking the test got a 100%

Answer:

m

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

\(\sqrt{9}=\sqrt{3*3} = 3\)

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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The value of x is -15

Functions are simply defined as expressions or rules showing the relationship between two variables.

These variables are listed as;

From the information given, we have that;

g(x) =x  -1, if g(x) = -16

Now, we have to equate the two functions, we get;

x - 1 = -16

collect the like terms, we get;

x =-16 + 1

add the values, we have;

x = -15

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The complete question:

Given g(x) =x  -1, if g(x) = -16, find x.

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Answer:

8(-3x+2y)

Step-by-step explanation:

Find the GCF of -24x and 16y

The GCF is 8 so put -24x and 16y in parenthesis

(-24x+16y)

Now put the 8 outside the parenthesis and divide 8 on both -24x and 16y and put the quotient inside the parenthesis to replace the -24x and 16y:

-24x/8 = -3x

16y/8=2y

8(-3x+2y)

Hope this helps!

Answer:

False, False, A. 180

Step-by-step explanation:

A flat line is 180 degrees. A right isosceles triangle has one right angle. None of the sides on a scalene triangle are the same.

Answer:

i think it is the first one

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. Examples include 8 / 4 = 2 and 3 / 6 = 0.5

Answer:

1:4 or 25%

Step-by-step explanation:

There is a 1 in 4 chance of picking the prize door since there are 4 total doors.  This is equal to a 25% chance

Answer:

1-4 so a 25 percent chance of getting a valuable prize

Step-by-step explanation:

1 out of 4 doors has a prize (1-4)

hopefully this helps

Answer:

12)5^x=125

13)5

Step-by-step explanation:

The base on the logarithm is also the base of the exponent so 5^something=something else and 125 is the number in the logarithm it is put on the other side so 5^something=125 and as the something is x the answer is 5^x=125

The second question uses the same logic 2^y=32 so y must be 5

Hope I helped :)

Answer:

why does an increase in reaction temperature generally increase the reaction rate

The equation that relates the height of the kite to the speed of the wind is: h = 5w.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.

Using the three data points we have, we can calculate the slope of the line as follows:

m = (y2 - y1) / (x2 - x1)

= (75 - 50) / (15 - 10)

= 25/5

= 5

Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.

For example, using the point (10, 50):

50 = 5(10) + b

b = 0

So the equation that relates the height of the kite to the speed of the wind is:

h = 5w

where h is the height of the kite in feet, and w is the speed of the wind in mph.

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Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

Answer:

X=1/174

Step-by-step explanation:

Answer:

x = -5/21

Step-by-step explanation:

The common denominator between all the terms in this equation is 30. Multiply everything by 30.

[x+1/6=3x/10]  * 30

30x + 5 = 9x   subtract 9x on both sides

21x+5 = 0  subtract 5 on both sides

21x = -5   divide 21 on both sides

x = -5/21