The tangent of angle X is 2.246.
Work out the size of angle X.
Give your answer to the nearest degree.
____ °

(8 x 47) - (5 x 47)

Also The difference is 141

The measurement of the angle MRX is 130°.

Given that a figure we need to find the angle MRX,

The lines TP and ZX are perpendicular to each other, and there is a line MQ intersecting at R,

So,

Angles MRT and MRZ are complementary so,

m ∠MRZ + m ∠MRT = 90°

50° + m ∠MRT = 90°

m ∠MRT = 40°

Also,

Angles TRX and TRZ are supplementary so, and equal to right angle, so,

m ∠MRX = m ∠MRT + m ∠TRX

m ∠MRX = 90° + 40°

m ∠MRX = 130°

Hence the measurement of the angle MRX is 130°.

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Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

arcsin(6/17) can be used to find m∠P in the right angled triangle.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

let m∠P be represented as θ, hence using trigonometric ratio:

sinθ = MN/MP

substituting values:

sinθ = 6/17

θ = sin⁻¹(6/17)

m∠P = sin⁻¹(6/17)

arcsin(6/17) can be used to find m∠P in the right angled triangle.

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Answer:

So the greatest common factor 85 and 95 is 5.

Step-by-step explanation:

We will now calculate the prime factors of 85 and 95, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85 and 95.

We will first find the prime factorization of 85 and 95. After we will calculate the factors of 85 and 95 and find the biggest common factor number .

Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:

85 = 5^1 × 17^1

Prime factors of 95 are 5, 19. Prime factorization of 95 in exponential form is:

95 = 5^1 × 19^1

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17

We found the factors and prime factorization of 85 and 95. The biggest common factor number is the GCF number.

So the greatest common factor 85 and 95 is 5.

To create line graphs for the given data, choose an appropriate count, label the graph and axes, plot the data points, and connect them with a line to visualize the trends.

In order to create a line graph, it is important to select a suitable number to count by, depending on the range and data distribution. This helps in ensuring that the graph is readable and properly represents the information. Additionally, labeling the graph and axes with clear titles provides clarity to the reader.

For the first set of data (Illustration 2), the recorded hours are already given. To create the line graph, plot the data points where the x-coordinate represents the hour and the y-coordinate represents the number of faulty units recorded during that hour. Connect the data points with a line, moving from left to right, to visualize the trend of faulty units over time.

Regarding the second set of data (Illustration 3), the information provided lists the sales performance of Martha and George over a period of 6 months. In this case, the x-axis represents time and the y-axis represents the sales in S (units or currency). Using the same steps as before, plot the data points for each month and connect them with a line to show the sales performance trend for both individuals.

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Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)

Answer:

Option A

Step-by-step explanation:

The income statement comprises of income made in a given year.

It never gives details of the target income or the income projected.

Hence, projected profit will not be included in the income statement. Rest all other options i,e Net Sales c. Cost of Goods d. Operating Expenses are the actual income and expenditure components that are included in a income statement

Option A is correct

Answer:A

Step-by-step explanation:I just took the test

Answer:

f = 59

g = 59

Step-by-step explanation:

f = 180 - 121

f = 59

g = 180 - 121

g = 59

Input data

S=(3x+47)°

T= (5x+21)°.

Answer:

Step-by-step explanation:

Given that 5 miles is 8 km, convert 19.2 km to miles

5 : 8 = x : 19.2

x = 5 * 19.2 : 8

x = 12

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

check

5 : 8 = 12 : 19.2

0.625 = 0.625

the answer is good

The Median of the data shown on the line plot is 6.5.

The median of a line plot The median is the central value in a data set that is arranged in numerical order from least to greatest. In other words, the median is the middle number of a set of data. To find the median of a set of data on a line plot, follow the steps below:

Step 1: Arrange the data in numerical order from least to greatest. In the line plot provided above, the data is already arranged in order from least to greatest. It ranges from 4 to 12.

Step 2: Determine the total number of data points. In this case, there are 8 data points.

Step 3: Identify the middle value in the data set. This is done by dividing the total number of data points by 2 (the middle point). If the number of data points is even, the median is the average of the two middle values. If the number of data points is odd, the median is the middle value itself. Since there are 8 data points in the line plot above, we have an even number of data points. The two middle values are 6 and 7, so the median is the average of these two values.

Step 4: Calculate the median. Add the two middle values (6 and 7) together and divide by 2:6 + 7 = 13 13/2 = 6.5

Therefore, the median of the data shown on the line plot is 6.5.

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Answer:

to my beliefs it is 18. I THINKKKKK I LIKE ALELI THINKS ITS 18

Answer:

a

c

c

a

Step-by-step explanation:

Step-by-step explanation:

7/8 - 1/4 = 5/8

__z_________z_

The energy of a proton accelerated to 13.8 MeV per particle is 1330.863 kJ/mol.

The proton is a positively charged particle found in the nucleus of an atom. MeV is a measure of energy that stands for million electron volts.

The amount of energy it takes to move an electron through a potential difference of one million volts is represented by one electron-volt. kJ/mol is the standard unit used to express the amount of energy per mole of a chemical substance.

The conversion of energy in MeV to kJ/mol is calculated using a conversion factor of 1 MeV = 96.485 kJ/mol.

Therefore, when a proton is accelerated to 13.8 MeV per particle, the energy in kJ/mol is calculated as follows:

13.8 MeV = 13.8 x 96.485 kJ/mol= 1330.863 kJ/mol

Thus, the energy of a proton accelerated to 13.8 MeV per particle is 1330.863 kJ/mol.

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Answer:

124

Step-by-step explanation:

calculator blablabla

Answer:

dilation

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

on edge

Answer:

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)

How many different sweatshirt designs are possible?

Step-by-step explanation:

It's 4320

Answer:

-8968680

Step-by-step explanation:

If this is what your looking for if not sorryyyy

87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and  8977609  to get -8889820 and then subtracted 78860 from that to get a total of -8968680.

Answer:

13,000

_____

4%

I'm sorry if this is incorrect

Answer:

Step-by-step explanation:

so first

Answer:

your invers of operations are right and X = 7.5

Step-by-step explanation:

The percentage that the population will grow by, over the next 10 years, based on the constant rate, is 31.8%

The population of the area being referred to will grow by 2.8% per year. This means that to find the percentage growth over the next 10 years, the following formula should be used:

Percentage growth in 10 years = (1 x constant rate) ^ number of years  - 1

Solving for the percentage growth in population in ten years gives:

= (1 x 2.8%) ¹⁰ - 1

= 1.028¹⁰ - 1

= 1.318 - 1

= 0.318

= 31.8%

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Answer:

Why do you have two equal signs in this question?

Answer:

6400

Step-by-step explanation:

We have 1 + 3 + 5 + ... + 155 + 157 + 159.

We can use Gauss's strategy.

Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)

Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.

I hope this helps!

No , as we fail to reject the null hypothesis Mr. Goodman claim that his evaluations are significantly different than the history department's.

What is null hypothesis?

Test statistic  X2 =1.9196

p value =0.5893

No , as we fail to reject the null hypothesis Mr.Goodman claim that his evaluations are significantly different than the history department.

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The length of the kite and the tail are \(4\frac{2}{3}\) and \(10\frac{5}{6}\) ft respectively.

The tail of the kite is 1.5 feet plus twice the length of the kite.  Together, the kite and tail are 15.5 ft long.  

The length of the tail and the kite can be found as follows:'

let

length of kite = x

Therefore,

length of the tail = 1.5 + 2x

Together the length of kite and tail is 15.5 ft

Hence,

1.5 + 2x + x  = 15.5

1.5 + 3x = 15.5

3x = 15.5 - 1.5

3x = 14

x = 14  /3

x = \(4\frac{2}{3}\) ft

length of the tail =  1.5 + 2(14 / 3)

length of the tail = 1.5 + 28 / 3

length of the tail = 65 / 6 = \(10\frac{5}{6}\) ft

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