The function f has a relative maximum at x = -√[(2 + sqrt(2))/5], so the answer is (b) - root 5/5.
To find the relative maximum of a function, we need to find the critical points of the function, where the derivative of the function is zero or undefined.
Let's start by finding the derivative of f(x)
f'(x) = 15x⁴ - 12x² - 3
Now, we can find the critical points by solving the equation f'(x) = 0
15x⁴ - 12x² - 3 = 0
We can factor this equation by substituting y = x²
15y² - 12y - 3 = 0
Solving for y, we get
y = (2 ± √(2))/5
Substituting back x² for y, we get
x² = (2 ± √(2))/5
Taking the square root of both sides, we get
x = ± √[(2 ± √(2))/5]
Therefore, the critical points are
x = -√[(2 + √(2))/5], √[(2 - √(2))/5]
Now, we need to determine whether these critical points are relative maximum or minimum.
We can use the second derivative test to determine the nature of the critical points. The second derivative of f(x) is
f''(x) = 60x³ - 24x
Plugging in the critical points, we get
f''(-√[(2 + √(2))/5]) = -48√(2) < 0 (relative maximum)
f''(√[(2 - √(2))/5]) = 48√(2) > 0 (relative minimum)
Therefore, the relative maximum of the function f(x) is at
x = -√[(2 + √(2))/5]
So, the correct answer is (b) - root 5/5.
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how many tickets of each type were sold ?
Answer:
Let's use a system of equations to solve the problem.
Let x be the number of regular admission tickets sold, and y be the number of fast pass tickets sold.
From the problem, we know that:
x + y = 104 (equation 1)
and
8x + 22y = 1280 (equation 2)
We can use equation 1 to solve for x in terms of y:
x = 104 - y
Substituting this expression for x into equation 2, we get:
8(104 - y) + 22y = 1280
Simplifying and solving for y, we get:
832 - 8y + 22y = 1280
14y = 448
y = 32
So the student sold 32 fast pass tickets.
To find the number of regular admission tickets sold, we can substitute y = 32 into equation 1 and solve for x:
x + 32 = 104
x = 72
So the student sold 72 regular admission tickets.
Therefore, the student sold 72 regular admission tickets and 32 fast pass tickets.
how do i solve this please help
The percentage of Container B that is full after the pumping is complete is 77.2%.
How to find the percentage ?To find the percentage of Container B that is full after the water from Container A is pumped into it, we first need to find the volume of both containers.
The volume V of a cylinder can be calculated using the formula:
V = πr²h
Volume of Container A (V A) = π x (10^2) x 20 = 2000π cubic feet
Volume of Container B (V B) = π x (12^2) x 18 = 2592π cubic feet
Percentage = (V A / V B) x 100
Percentage = (2000π / 2592π) x 100
Percentage = (2000 / 2592) x 100 = 77.1604938
To the nearest tenth, the percent of Container B that is full after the pumping is complete is approximately 77.2%.
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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
Use the following information to answer questions 2 and 3.
Suppose Kiran has a group of 50 people that he is going to study in an experimental study and he needs them to sign a form to participate. He creates two groups of 25 people. The first group consists of the first 25 people who turned in the signed form. The second group consists of the other 25 people who signed the form.
2. Are there any potential problems with Kiran's study? Explain your reasoning.
3. Why is it important to randomly assign people to groups in an experimental study?
Answer:
2. Yes, there are potential problems with Kiran's study. The first group consists of the first 25 people who turned in the signed form. This means that the first group may not be representative of the entire population of 50 people. For example, if the first 25 people who turned in the signed form are all from a particular demographic group, then the results of the study may not be generalizable to the entire population.
3. It is important to randomly assign people to groups in an experimental study because it helps ensure that the groups are similar in all respects except for the studied variable. This helps reduce the impact of confounding variables and increases the study's internal validity. Random assignment also helps to ensure that any differences between the groups are due to chance rather than systematic differences between the groups.
Step-by-step explanation:
Answer:
2. Yes, Kiran's study does have possible flaws, indeed. The first 25 people who submitted the signed form are in the first group. This indicates that the first group might not be typical of the total 50-person population. The study's findings might not apply to the entire population, for instance, if the first 25 persons to submit a signed form are all from the same demographic group.
3. In this experimental study, it's crucial to divide participants into groups at random since it helps to ensure that the groups are comparable in all regards outside the studied variable. This raises the study's internal validity and lessens the effect of confounding variables. Also, random assignment makes sure that any discrepancies between the groups are the result of chance, rather than deliberate divisions.
mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship
The equation that shows the relationship is w = 38m.
Writing an equation to show this relationshipIf Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:
w = km
where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.
We are given that k = 38, so we can substitute this value into the formula to get:
w = 38m
Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.
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You have 10 grades in your math class. After ordering them from least to greatest, this is the data set: {80, 82, 82, 83, 85, 88, 92, 95, 95, 96}. Which statement is true about the mode?
The mode is 95.
The mode is 82.
There are two modes: 82 and 95.
There is no mode
Answer:
82 and 95
Step-by-step explanation:
Most repeated
What is 143,246 rounded to the 3rd significant figure?
A scatter plot displays _____ on a graph that shows the relation between two variables.
A scatter plot is a graphical representation of a set of data points that displays the relationship between two variables.
How to solve the question?
The plot uses a Cartesian coordinate system, with one variable plotted on the x-axis and the other on the y-axis. Each data point is represented by a dot, with its location on the plot determined by its values for the two variables. The pattern of the dots on the plot gives insight into the relationship between the two variables.
Scatter plots are useful for visualizing the strength and direction of a relationship between two variables. A positive relationship between the variables means that as one variable increases, the other variable also increases. In contrast, a negative relationship means that as one variable increases, the other variable decreases. A scatter plot can also help to identify any outliers or unusual data points.
Scatter plots can be used to analyze many types of data, including scientific data, financial data, and social data. They can be used to identify trends, correlations, and patterns that might not be immediately apparent from a simple numerical analysis of the data. Scatter plots are a valuable tool for data analysis and visualization, and are widely used in scientific research, data analysis, and data-driven decision making.
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URGENT - Will also give brainliest to simple answer
Answer:
The answer for the Area is 8
Step-by-step explanation:
Area of semi circle =1/2pir²
r=d/2=8/2=4
A=1/2×4²
A=1/2×4×4
A=2×4
A=8
Answer:
32 or 100.53
Step-by-step explanation:
*assuming 8 is radius and not diameter*
A = [tex]r^{2}[/tex]
r = 8
[tex]8^{2} = 64[/tex]
A = 64 or ≈201.062
divide by 2 for half of the circle
32 or 100.53
What is the amplitude of the function?
We can see here that the amplitude of the function is: A. 3.
What is amplitude of a function?The amplitude of a function is the measure of its maximum deviation from its central value. In simpler terms, it is the height of a wave or the distance from the center line to the peak or trough of a function.
For example, in a sine wave, the amplitude is the distance from the center line (or zero) to the highest point of the wave. In mathematical terms, if f(x) is a periodic function with period T, then the amplitude A of f(x) is given by:
A = (f(x)_max - f(x)_min)/2
where f(x)_max and f(x)_min are the maximum and minimum values of f(x) over one period.
Max = 4
Min = -2
A = [4 - (-2)]/2 = 6/2 = 3
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Calculate the size of angle 0.
Give your answer to the nearest degree.
In the given triangle, using the law of Cosines, the value of angle θ is 103°
Law of Cosines: Calculating the value of an angleFrom the question, we are to calculate the value of angle θ in the diagram.
From the given diagram,
We have a triangle ABC with given side lengths
From the given information,
a = 42 cm
b = 78 cm
c = 57 cm
From the law of Cosines, we have that
cos B = (a² + c² - b²)/2ac
Thus,
cos θ = (a² + c² - b²)/2ac
Substitute the parameters
cos θ = (42² + 57² - 78²)/2(42)(57)
cos θ = (1764 + 3249 - 6084) / (4788)
cos θ = -1071/4788
θ = cos⁻¹(-1071/4788)
θ = 102.9255
θ ≈ 103°
Hence, the value of θ is 103°
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3. Find the area of the shape below. Break
the larger shape into smaller pieces if needed.
8.4m
4m
11.4m
8m
ak direst
boyut ved FI
So, the area of the shape is 164.4 square meters.
What is area?In geometry, area is the measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundaries of a flat object such as a polygon, circle, or rectangle. Area is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on. To calculate the area of a shape, you typically need to use a specific formula depending on the type of shape, such as base times height for a triangle, or length times width for a rectangle.
Here,
The area of the shape is equal to the sum of the areas of these smaller pieces. We can calculate each area as follows:
The area of the rectangle on the left is 4m x 8.4m = 33.6 square meters.
The area of the rectangle on the right is 8m x 11.4m = 91.2 square meters.
The area of the triangle on the top is (8.4m x 4m) / 2 = 16.8 square meters.
The area of the triangle on the bottom is (11.4m x 4m) / 2 = 22.8 square meters.
Therefore, the total area of the shape is:
33.6 + 91.2 + 16.8 + 22.8 = 164.4 square meters
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Compare these rational numbers. Which of the following are true?
i. -2.3 - 1.3
ii. -2.3 -1.3
iii. -2.3> - 3.3
iv. -2.3 -3.3
a.ii and iv
b.ii and iii
c.i and iii
d.i and iv
The correct options for the given rational numbers are (a) ii and iv.
What are rational numbers?P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. The natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.
To compare the rational numbers, we need to perform the given operations and determine their relative magnitudes:
i. -2.3 - 1.3 = -3.6
ii. -2.3 -1.3 = -3.6
iii. -2.3 > -3.3
iv. -2.3 -3.3 = -5.6
Comparing i and ii, we see that they are equal. Therefore, both options i and ii are true.
Comparing iii, we see that -2.3 is greater than -3.3. Therefore, option iii is true.
Comparing iv, we see that -5.6 is less than both -2.3 and -3.3. Therefore, option iv is false.
So, the correct options are (a) ii and iv.
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838
Discovering Solids Quiz
Geometry B (SP23) 3 / Area
1. How many faces, vertices, and edges are in the figure below?
faces= 6, vertices = 5, edges = 9
Ofaces= 5, vertices = 6, edges = 10
Ofaces = 7, vertices = 7, edges = 12
faces = 8, vertices = 8, edges = 8
The given figure is a hexagonal pyramid and it has 7 faces, 7 vertices, and 12 edges. The correct option is c)
What is hexagonal pyramid?A hexagonal pyramid is a three-dimensional geometric figure that has a hexagonal base and triangular faces that meet at a common vertex. It is also known as a hexagonal pyramid or a hexagonal pyramid.
According to the given information:
The given shape is a Hexagonal pyramid
Here are the characteristics of a hexagonal pyramid:
Faces: 7 (1 hexagonal base and 6 triangular faces)
Vertices: 7 (1 common vertex where all the triangular faces meet and 6 vertices on the hexagonal base)
Edges: 12 (6 edges on the hexagonal base and 6 edges connecting the base to the common vertex)
So, a hexagonal pyramid has 7 faces, 7 vertices, and 12 edges.
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1. 76x8. 2. 84x9
3. 68x4
4. 32x6 PART 1
5. 59x7
6. 74x8
7. 68x8
8. 95x9
9. 84x5
10. 22x4
11. 48x5
12. 84x8
13. 76x9
14. 89x9
15. 63x5
16. 32x9
17. 63x8
18. 79x9
19. 78x5
20. 49x4
21. 94x6
The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
1. 76 x 8 = 608
2. 84 x 9 = 756
3. 68 x 4 = 272
4. 32 x 6 = 192
PART 2
5. 59 x 7 = 413
6. 74 x 8 = 592
7. 68 x 8 = 544
8. 95 x 9 = 855
9. 84 x 5 = 420
10. 22 x 4 = 88
11. 48 x 5 = 240
12. 84 x 8 = 672
13. 76 x 9 = 684
14. 89 x 9 = 801
15. 63 x 5 = 315
16. 32 x 9 = 288
17. 63 x 8 = 504
18. 79 x 9 = 711
19. 78 x 5 = 390
20. 49 x 4 = 196
21. 94 x 6 = 564
Therefore, The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564
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Below is the table of values of a function. Write the output when the input is n.
input
output
3
7
8
n
output
6
14
16
*blank*
Answer:
input output
3 7
8 16
n blank
Step-by-step explanation:
we can see that the function's output is twice the input plus one. Therefore, when the input is 6, the output will be 2 * 6 + 1 = 13. When the input is 14, the output will be 2 * 14 + 1 = 29. However, since the output for the input value "n" is not given in the table, we cannot determine the output for that input.
I hope it helps you
1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2. ) Commonly referred to as the average of all values.
3. ) Middle value in the set of data arranged in increasing or decreasing order.
4. ) Contains two modes.
5. ) Most frequently occurring score.
pls answer my grade dropped to 75 last grading pls answer correctly
The match of the given defines are any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude is Measure of central tendency, Commonly referred to as the average of all values is Mean, Middle value in the set of data arranged in increasing or decreasing order is Median, Contains two modes is Bimodal, Most frequently occurring score is Mode.
The identified match from the box to the given defines are the mean is the sum of all values divided by the total number of values. The median is the middle value when data is arranged in order.
The mode is the value that appears most frequently in a set of data. Bimodal refers to a distribution that has two modes. Finally, measure of central tendency refers to any method used to represent the center of a set of data.
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--The given question is incomplete, the complete question is given
" identify the following defines. and choose from below box:
mean, mode, median, measure of central tendency, bimodal
1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2. ) Commonly referred to as the average of all values.
3. ) Middle value in the set of data arranged in increasing or decreasing order.
4. ) Contains two modes.
5. ) Most frequently occurring score.
pls answer my grade dropped to 75 last grading pls answer correctly"--
Find the volume of the figure below. Use 3.14 for pi. Round your answer to the nearest
tenths place if necessary.
The volume of cone as per given figure is 314cm³.
The following mathematical operation must be carried out in order to determine a cone's volume: V = Π(h/3)r². The surface area of the circular portion of a cone is simply πr2. The lateral face wrapping around this base is calculated as πrl, or if you aren't given the slant height, you can use the formula πr√(r2+h2).
To calculate the volume of a cone, we apply the following formula:
, where V = volume
h = height
r = radius
π = pi
(h = height of cone, r= radius of cone)
Given:
Height of cone = 12 cm
Radius of cone = 5 cm
Volume of cone, V = 3.14 * (12/3 )* 5* 5
= 3.14 * 20 * 5
= 3.14 * 100
= 314 cm³
Therefore, The volume of cone as per given figure is 314cm³.
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URGENT, PLEASE HELP, I'M WILLING TO GIVE 20+ POINTSS
Answer:
for the following question the answer will be
1/5=0.2 given as example
60%=0.6
50%=1/2
3/4=0.75
for 1/6 there os no answer for it the answer is 0.166
Write an expression for the apparent nth term an of the sequence. (Assume that n begins with 1.) 4, 5/3, 6/5, 1, 8/9
The nth term of the sequence as: an = { 4 (n - 1) if n is odd
1 if n is even and n ≠ 4 8/2n when n = 4
What is arithmetic progression and its formula ?
An arithmetic progression is a list of numbers where each term is obtained by adding a specific number to the previous term, except for the first term. The following formulas help solve arithmetic progression problems: AP common difference: d = an - an-1. AP nth term: an = a (n -1)d
Sum of n terms of AP: Sn = n/2 (2a (n - 1)d)
The given sequence is 4, 5/3, 6/5, 1, 8/9.
To find the expression for the nth term, we must observe the pattern of the sequence. We see that the numerators of the series fractions increase by 1 for each term, while the denominators increase by 2 for each term except the fourth term, which is 1. Therefore, we can write the nth term of the sequence as:
an = { 4 (n - 1) if n is odd
1 if n is even and n ≠ 4
8/2n when n = 4
where n is a positive integer representing the position of the term in the sequence.
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a survey of a random sample of 1280 students loan borrowers found that 448 had loans totaling more than $20,000 for their undergraduate education. construct a 95% confidence interval to estimate the population proportion of student load borrowers who have loans totaling more than $20,000.
The 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000 is approximately (0.3235, 0.3765).
To construct a 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000, we need to calculate the sample proportion, standard error, and critical value.
1. Sample proportion (p) = Number of students with loans over $20,000 / Total sample size
p = 448 / 1280 ≈ 0.35
2. Standard error (SE) = √(p * (1 - p) / n)
SE ≈ √(0.35 * (1 - 0.35) / 1280) ≈ 0.0135
3. For a 95% confidence interval, we use a critical value (z) of 1.96.
Margin of error (ME) = z * SE
ME ≈ 1.96 * 0.0135 ≈ 0.0265
4. Calculate the confidence interval:
Lower limit = p - ME ≈ 0.35 - 0.0265 ≈ 0.3235
Upper limit = p + ME ≈ 0.35 + 0.0265 ≈ 0.3765
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WILL MARK BRAINLIEST!!
A number pattern is shown below.
Please create an equation for the pattern, and find what the difference between the last number in row 6 and the first number in row 6 is. Show or explain your work.
The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is 10
How to solveTo find the equation for the pattern, let's first observe the pattern in the given rows:
Row 2: 8 10 (difference = 2)Row 3: 15 17 19 (difference = 2)Row 4: 24 26 28 30 (difference = 2)Row 5: 35 37 39 41 43 (difference = 2)We notice that the difference between the consecutive numbers in each row is 2.
Now let's observe the first number in each row:
Row 2: 8 (24)Row 3: 15 (35)Row 4: 24 (46)Row 5: 35 (57)It seems that the first number in each row can be calculated by multiplying the row number by (row number + 2). So, for row 6, the first number would be:
6 * (6 + 2) = 6 * 8 = 48
Now let's calculate the remaining numbers in row 6:
Row 6: 48 50 52 54 56 58 (difference = 2)
The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is:
58 - 48 = 10
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What is the slope of the line tangent to the curve y^3-xy^2+x^3=5 at the point (1,2)?
Options are as follows: A. 1/10
B. 1/8
C. 5/12
D. 11/4
The slope of the line tangent to the curve y³-xy²+x³=5 at the point (1,2) is option (B) 1/8.
To find the slope of the line tangent to the curve at the point (1,2), we first need to find the derivative of the curve with respect to x, and then evaluate it at x=1, y=2.
Taking the derivative of both sides of the equation y³-xy²+x³=5 with respect to x using the product rule, we get
3y²(dy/dx) - y² - 2xy(dy/dx) + 3x² = 0
Simplifying this expression and solving for dy/dx, we get:
dy/dx = (y² - 3x²)/(3y² - 2xy)
Substituting x=1 and y=2, we get:
dy/dx = (2² - 3(1)²)/(3(2)² - 2(1)(2))
dy/dx = (4 - 3)/(12 - 4)
dy/dx = 1/8
Therefore, the correct option is (B) 1/8
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What you write when you want to output the value of the variable x to the screen?
Programming languages, including Python, you can use the print() function to output the value of a variable to the screen.
To output the value of the variable x, you would write:
print(x)
The current value of the variable x in the console or terminal window.
If you want to include additional text in the output, you can concatenate it with the variable using the string concatenation operator "+" in Python like this:
print("The value of x is: " + str(x))
"The value of x is: " is a string of text that will be displayed before the value of x.
The str() function is used to convert the value of x to a string, so that it can be concatenated with the other text.
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show your work i need it
The expression representing the width of the garden is given as follows:
6w + 2.
An equivalent expression is given as follows:
2(3w + 1).
How to obtain the expression?The width of the rectangle is represented as follows:
w.
Six times the width of the rectangle is represented as follows:
6w.
Two feet plus six times the width of the rectangle is represented as follows:
6w + 2.
6 = 2 x 3, hence the simplified expression can be given as follows:
2(3w + 1).
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A circle has a diameter of 28 centimeters.
Estimate the area of the circle. Use
3.14
or
22
7
for
π
.
What is the volume of the rectangular prism?
A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.
The area of the given circle is 616 sq.cm.
The volume of rectangular prism is 416 mm³
What is a circle?A circle is a particular type of ellipse when the eccentricity is zero and both foci are present. The locus of points drawn equally apart from the centre is also referred to as a circle. The radius of a circle is the separation between its centre and its periphery. The circle's diameter, which is equal to twice its radius, is the line that splits the circle into two equal pieces.
What is area of circle?Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.
Area of Circle = πr² or πd²/4, square units
where π = 22/7 or 3.14
according to question,
Area = pi times the radius squared
A = pi * r²
A = 22/7 * 14²
A = 22/7 * 196
A = 4,312 / 7
A = 616 sq. cm.
V = l*w*h
To determine the volume, multiply all three dimensions together.
For Connexus users Rectangular prisms and volume quiz part 2:
l * w * h = 8 * 5 * 10.4 = 416
the volume of rectangular prism is 416 mm³
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Devaughn is 12 years younger than Sydney. The sun of their ages is 78. What is Sydney’s age?
Answer:
Sydney’s age is 45 & Devaughn's age is 33
Step-by-step explanation:
D= Devaughn
S= Sydney
D+S= 78
S-12=D
(S-12)+S=78
2S=90
S=45
D=33
I need some help please
Answer:
y + 21 = - 4(x - 7)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 21 ) and (x₂, y₂ ) = (- 4, 23 )
m = [tex]\frac{23-(-21)}{-4-7}[/tex] = [tex]\frac{23+21}{-11}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4
using (a, b ) = (7, - 21 ) , then
y - (- 21) = - 4(x - 7) , that is
y + 21 = - 4(x - 7)
select all expressions that are equivalent to -3.75+ 2(-4x +6.1) - 3.25x
We can simplify the expression by distributing the 2 and combining like terms:
-3.75 + 2(-4x + 6.1) - 3.25x
= -3.75 - 8x + 12.2 - 3.25x (distributing the 2)
= -11.75 - 11.25x (combining like terms)
Therefore, any expression that simplifies to -11.75 - 11.25x is equivalent.
Possible equivalent expressions are:
-3(-3.92x + 3.917)
-11.75 - 11.25(x+1)
-11.75 - 9x - 2.25x
-1.5(-15 + 9x)
11.25x - (11.75 + 2(-3.75))
Note that there are many other possible expressions that are equivalent to -3.75+ 2(-4x +6.1) - 3.25x, but the key is that they all simplify to the same value of -11.75 - 11.25x.
Rename the fraction as a decimal and a percent 3/25
Answer:
it is 12 percent
Step-by-step explanation:
your welcome
Suppose there is a regular polygon that can be decomposed into 46
triangles. The measure of one of its interior angles is (9.5x+26.2)
.
What is the value of x
?
The value of x in the regular polygon is 15.4.
What is the value of x?The value of x is calculated as follows;
The sum of the interior angles of a polygon with n sides is given by the formula;
(n-2) x 180
Since the regular polygon in question can be decomposed into 46 triangles, it has 46 x 3 = 138 sides.
The value of each interior angle is calculated as;
= (n - 2) x 180 / n
= (138 - 2) x 180 / 138
= 169.6⁰
9.5x + 26.2 = 169.6
9.5x = 143.4
x = 15.1
Learn more about interior angles here: https://brainly.com/question/24966296
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