The given expression has no solution.
What is simplification ?
Another word for "solving a math difficulty" is "simplifying an expression." When you simplify an expression, your goal is essentially to make it as simple as you can. There shouldn't be any additional multiplication, dividing, adding, or removing to be done at the conclusion. Take the formula 4 + 6 + 5 as an illustration.
Here the given expression is ,
=> 2x+ 3x -\(\frac{1}{2}\) -( 5x -\(\frac{2}{3}\) ) = 2
=> 2x+ 3x -\(\frac{1}{2}\) - 5x +\(\frac{2}{3}\) = 2
=> 5x-5x - \(\frac{4-3}{6}\) = 2
=> 0 - \(\frac{1}{6}\) =2
Therefore the given expression has no solution.
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Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
Mention the difference between fossils fuel and alternative energy source with examples.
Answer:
comparing fossils with other engerys:
Most alternatives energy sources doesn't have as much pollution produce like fossil fuel does,
Fossil comes from underground or persevered by nature, when others can be made by renewable resources, such as Wind(windmills) , sun (solar), and water (those rolly things)
A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a k=4
square units
b. k=1.5
square units
ck=1
square units
Answer:
a = 160 square units
Step-by-step explanation:
The areas of the image are 160, 22.5 and 10 square units
The area of the polygon is given as:
A =10 square unit
The area of the image of the polygon is calculated as:
\(A_k = A * k^2\)
When k = 4, we have:
\(A_4 = 10 * 4^2\)
\(A_4 = 160\)
When k = 1.5, we have:
\(A_{1.5} = 10 * 1.5^2\)
\(A_{1.5} = 22.5\)
When k = 1, we have:
\(A_{1} = 10 * 1^2\)
\(A_{1} =10\)
Hence, the areas of the image are 160, 22.5 and 10 square units
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What is the answer??????
Answer:
\(\frac{-2}{3}\)
Step-by-step explanation:
First, change the mixed numbers to improper fractions to make the solving process easier.
1 2/3 = 5/3
2 1/3 = 7/3
Now, subtract.
5/3 - 7/3 = -2/3
Answer: -2/3
hope this helps!! p.s. i really need brainliest :)
What is the value of x?
Answer:
7
Step-by-step explanation:
An equilateral triangle has side lengths of 24. What is the
height of the triangle?
sorry wrong answer i don't know how to remove
Step-by-step explanation:
Pythagorean theorem
А What is the value of x?
Enter your answer in the box.
X=
Answer:
x = 25
Step-by-step explanation:
Since ∠ A = ∠ B then the triangle is isosceles and AC = BC , that is
4x - 30 = 2x + 20 ( subtract 2x from both sides )
2x - 30 = 20 ( add 30 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Step-by-step explanation:
x=11
hope it helps.
comment me if im correct then i will post step by step
and sorry, if im incorrect.
PLEASE HELPP!! it’s due in an hour!!
Answer:
12x I think
Step-by-step explanation:
this is very confusing.
2x² + 2x - 4 = 2x ( x + 1 - 2 )
4x + 2x - 4
8x-4
4x = 2x ( x + 1 - 2)
8x + 2 - 2
8x + 4x
= 12x. I think 12x is the correct factor.
find the value of x in the Triangle shown below 6. 10
We can use Pythagoras's theorem expression:
\(h^2=a^2+b^2\)Where h is the hypotenuse of the triangle and a and b are its legs, in this case, we have the value of the length of one leg and the value of the length of the hypotenuse, then we can solve for the other leg length like this:
\(\begin{gathered} h^2=a^2+b^2 \\ h^2-a^2=b^2 \\ b^2=h^2-a^2 \\ b=\sqrt[]{h^2-a^2} \end{gathered}\)Now let's replace the values from the figure, b is x, h is 10 and a is 6
\(\begin{gathered} b=\sqrt[]{h^2-a^2} \\ x=\sqrt[]{10^2-6^2} \\ x=\sqrt[]{100-36} \\ x=\sqrt[]{64} \\ x=8 \end{gathered}\)Then, x equals 8
the graphs are isomorphic. (you must provide an answer before moving to the next part.)group startstrue or false
The function \(f:V_1\rightarrow V_2\) is one - one and onto and both the graphs are isomorphic. So, the statement is True.
In mathematics, two structures are said to be isomorphic if they have the same mathematical structure, even if their elements and operations may be named or represented differently. This means that they have the same pattern of relationships between their elements and that any statement that is true in one structure is also true in the other.
Isomorphism is a fundamental concept in many branches of mathematics, including abstract algebra, topology, and graph theory. It is often used to simplify problems by reducing them to a known isomorphic structure. For example, in graph theory, two graphs are isomorphic if they have the same number of vertices, edges, and connectivity, which allows one to study the properties of a graph by studying a simpler isomorphic graph.
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Complete Question:-
Consider the following pair of graphs: The graphs are isomorphic. (You must provide an answer before moving to the next part.) True or False
Find the x- and y-intercepts.
3x + y = 6
Answer:
x intercept = (2,0)
y intercept = (0,6)
Answer:
x intercept=(2,0)
y intercept=(0,6)
Step-by-step explanation:
when finding the x intercept you multiply the y by zero so you are just left with the x. then you would divide six and 3x by 3 so that you just get x, and you would get that x=2.
You do the same for the y intercept except you multiply x by xero, so you would be left with y=6.
Solve the equation for x.
answer:
x=-2
Step-by-step explanation:
my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2
Answer:
x = -2
Step-by-step explanation:
● (5/6)x - (1/3) = -2
Add (1/3) to both sides
● (5/6)x - (1/3) + (1/3) = -2 + (1/3)
-2 is (-6/3)
● (5/6)x = (-6/3) + (1/3)
● (5/6)x = -5/3
Move 5/6 to the other side and switch the places of 5 and 6
● x = (-5/3) × (6/5)
● x = -30/15
● x = -2
Shaq made 8 out of 15 free throws he attempted in game 6 of the NBA Finals. The Lakers want to know how many consecutive free throws he would have to make to raise the percent of successful free throws to 75% during the game.
write and equation that represents this situation.
The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).
Which equation represents Shaq's situation as described in the task content?It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.
As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.
Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.
Therefore, it follows from percent proportion that;
( 8 + x ) / ( 15 + x ) = 75 / 100
The simplified equation which represents the required situation is therefore;
( 8 + x ) = 0.75 ( 15 + x ).
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Which pair of triangles is Alessandra referring to, and which criterion should she use for establishing congruence?
Answer:
△ABCtriangle and △CDAtriangle, by side-angle-side
Step-by-step explanation:
The amount of money in the account after 18 years will be $449.5.
What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.Given is a parallelogram as shown in the image.
In order to prove ABCD as a parallelogram, we can prove ΔABE and ΔCDE congruent to each other by Angle - Angle - Side congruent property as -
∠BAE = ∠DCE {Alt. int. angles}
∠ABE = ∠CDE {Alt. int. angles}
AB = CD {Given}
Therefore, she can prove ABCD as a parallelogram by proving -
ΔABE ≅ ΔCDE using AAS criteria.
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can someone tell me the answer please. they were covering this while I was in quarantine
Answer:
m<LMR =28°
Step-by-step explanation:
By subtracting the total line measure (178) from m<RMN you get the measurement of LMR. So basically its 178-150=28
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)
Answer the question in the pics
The expression for the area of triangle ABC, given ∠A = 48°, ∠C = 67°, and AC = 15, is 83.57 square units.
The area of a triangle can be calculated using the following formula:
Area = (1/2)×AB ×AC ×sin(C)
We are given the angles ∠A = 48°, ∠C = 67°, and the side AC = 15.
To find the area, we need to find the length of side AB and the sine of angle C.
By law of sines
AB/sin(A) = AC/sin(C)
Rearranging the equation, we get:
AB = (AC × sin(A))/sin(C)
Substituting the given values, we have:
AB = (15 × sin(48°))/sin(67°)
AB = (15 × 0.7431) / 0.9217
AB = 12.09
Now that we have the length of side AB, we can substitute it into the formula for the area:
Area = (1/2)× AB × AC × sin(C)
Substituting the values AB = 12.09, AC = 15, and sin(C) = 0.9217:
Area = (1/2) × 12.09 × 15 × 0.9217
Area = 83.57
Therefore, the expression for the area of triangle ABC, given ∠A = 48°, ∠C = 67°, and AC = 15, is 83.57 square units.
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Let M be an m x n matrix (where m doesn't necessarily equal n). (a) Explain why the n x n matrix M^T M is symmetric. (See Example 26.1.10 for discussion of the interest in such matrices.) (b) Consider the n-variable quadratic form g(x) (M^T Mx). Show that g(x) = ||MX||^2. Conclude that q is positive-semidefinite. (C) Show that q is positive-definite exactly when N(M) = {0}. (Hint: when is the length of Mx equal to zero?)
The (i,j)-th entry of \(M^T M\) is the same as the (j,i)-th entry of \((M^T)^T M^T\), which is just the (j,i)-th entry of\(M^T M\), \(M^T M\) is symmetric, g(x) is not positive-definite.
(a) The transpose of a matrix is obtained by interchanging its rows and columns. Therefore, for any matrix \(M, (M^T)^T = M\).
Now, let's consider the product \(M^T M\). The (i,j)-th entry of this product is obtained by taking the dot product of the i-th row of \(M^T\) and the j-th column of M. But the j-th column of M is just the j-th row of\(M^T\), so we are taking the dot product of two rows of\(M^T\). Therefore, the (i,j)-th entry of \(M^T M\) is the same as the (j,i)-th entry of \((M^T)^T M^T\), which is just the (j,i)-th entry of\(M^T M\). Therefore, \(M^T M\) is symmetric.
(b) We have \(g(x) = x^T (M^T M) x\). Let's expand this product:
\(g(x) = [x^T (M^T)][Mx]\\= [(Mx)^T][Mx]\\= ||Mx||^2\)
Therefore, \(g(x) = ||Mx||^2\).
Now, let's consider \(q(x) = g(x) = ||Mx||^2\). We want to show that q(x) is positive-semidefinite, which means we need to show that q(x) is non-negative for all x. This is easy to see since ||Mx||^2 is the squared length of the vector Mx, which is always non-negative.
(c) To show that q(x) is positive-definite exactly when N(M) = {0}, we need to show two things:
(i) If N(M) = {0}, then q(x) is positive-definite.
(ii) If N(M) is not equal to {0}, then q(x) is not positive-definite.
(i) Suppose N(M) = {0}. This means that the only vector that satisfies Mx = 0 is the zero vector. Now suppose that \(g(x) = ||Mx||^2 = 0\). This implies that Mx = 0, since the length of a vector is zero if and only if the vector itself is zero. But we just showed that the only vector that satisfies Mx = 0 is the zero vector, so x must be the zero vector. Therefore, \(g(x) = ||Mx||^2 = 0\) if and only if x = 0, which means that g(x) is positive-definite.
(ii) Now suppose that N(M) is not equal to {0}. This means that there exists a non-zero vector v such that Mv = 0. Let's consider the vector x = v/||v||. Then ||x|| = 1 and Mx = M(v/||v||) = (1/||v||)Mv = 0. Therefore, \(g(x) = ||Mx||^2 = 0\), even though x is not the zero vector. This means that g(x) is not positive-definite.
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The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = weights of players for the Dallas Cowboys X2 = weights of players for the Green Bay Packers X3 = weights of players for the Denver Broncos X4 = weights of players for the Miami Dolphins X5 = weights of players for the San Francisco Forty Niners You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different? a. Write the null and alternate hypothesisb. Use Excel to perform an ANOVA analysis. C. Write the value of the test statistic. (Copy it from the Excel printout. )d. What is the p?value associated with this test statistic?
The weights of football players on each of these teams is same or different is given by,
Null hypothesis is H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅.
Alternate hypothesis is Hₐ: At least one μₓ is different from the others.
ANOVA analysis is input weight→ separate column →Data tab →Data Analysis→ Single Factor→ click ok→ dialog box input range → output range → click ok.
Value of test statistic is the ratio between-group variance to within-group variance.
The p-value is associated to calculate the test statistic under the null hypothesis using the sampling distribution.
X₁ = weights of players of Dallas Cowboys
X₂ = weights of players of Green Bay Packers
X₃ = weights of players of Denver Broncos
X₄ = weights of players of Miami Dolphins
X₅= weights of players of San Francisco Forty Niners
Significant level = 5%
= 0.05
Null hypothesis is the mean weight of football players is same for all teams,
H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅
The alternate hypothesis is ,
At least one mean weight is different.
Hₐ: At least one μₓ is different from the others.
To perform an ANOVA analysis in Excel,
Input the weights data for each of the team into a separate column.
Now, go to the Data tab and click on Data Analysis.
Select ANOVA Single Factor from the list and click ok.
In the ANOVA dialog box,
Input the range of the weights data for all teams.
The Alpha level 0.05 and the output range where the results to be displayed.
Click ok.
Value of the test statistic F-value is displayed in the ANOVA output.
It represents the ratio between-group variance to the within-group variance.
The F-value is used to determine whether the means of the groups are significantly different.
The p-value associated with the test statistic is also displayed in the ANOVA output.
It represents the probability of obtaining an F-value as extreme as the one calculated.
Assume that the null hypothesis is true.
If the p-value is less than the significance level 0.05.
Reject the null hypothesis .
Conclude that there is evidence of a significant difference in the mean weights of football players among the teams.
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let’s say you have a numerical data set with 15 entries. how much will the mean increase if you increase one entry by 60?
Answer:
4
Step-by-step explanation:
Let the sum of the numbers of the set be x.
The mean of the set will be \(\frac{x}{15}\).
If one entry is increased by 60, that means the new sum of the numbers of the set will be x + 60. Therefore, the new mean will be \(\frac{x+60}{15}\).
We can rewrite \(\frac{x+60}{15}\) as \(\frac{x}{15}\) + \(\frac{60}{15}\) = \(\frac{x}{15}\) + 4.
So:
Original mean = \(\frac{x}{15}\)
New mean = \(\frac{x}{15}\) + 4
As you can see, the new mean is 4 more than the original mean.
If we are told that ab= 0, then what can we infer by the zero product property we know =0 or. =0
When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
We are given that ab = 0, where a and b are variables or numbers.
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.
In our case, we have ab = 0. This means that the product of a and b is equal to zero.
To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.
It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.
Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.
In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
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I need help in math. I think it is x > -6
Answer:
C. x > 6
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the variable.
Answer:
is just x>6
Step-by-step explanation:
-8< x -14
add 14 to both sides and it will end up as
6<x
then just flip it
x>6
identify the values of a h and k y=5/x+6-2
The values of a, h and k on the function are given as follows:
a = 5.h = 6.k = -2.The meaning of the transformations is given as follows:
Multiplication by a = 5 -> vertical stretch by a factor of 5.h = 6 -> translation left 6 units.k = -2, translation down 2 units.What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function in this problem is given as follows:
y = 1/x.
Hence the meaning of the transformations is given as follows:
Multiplication by a = 5 -> vertical stretch by a factor of 5.h = 6 -> transformation f(x + 6), translation left 6 units.k = -2, transformation f(x) - 2, shift down 2 units.More can be learned about translations at brainly.com/question/28174785
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write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. (,); xy
Answer:
cool cool
Step-by-step explanation:
cool
Find the Z-scores for which 90% of the distribution's area lies between -z and Z. A) (-1.96, 1.96)B) (-2.33, 2.33) C) (-0.99, 0.99) D) (-1.645, 1.645)
The correct Z-scores for which 90% of the distribution's area lies between -z and Z are D) (-1.645, 1.645).
The Z-score is a measure of how many standard deviations a particular value is from the mean of a distribution. In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, the Z-score represents the number of standard deviations a value is away from the mean.
To find the Z-scores for which 90% of the distribution's area lies between -z and Z, we need to find the Z-scores that correspond to the 5th and 95th percentiles of the standard normal distribution.
Since the distribution is symmetric, we can find the Z-scores for the lower and upper tails of the distribution and use them to determine the range between -z and Z.
Using a standard normal distribution table or a Z-table calculator, we can find that the Z-score corresponding to the 5th percentile (i.e., the value of -z) is approximately -1.645, and the Z-score corresponding to the 95th percentile (i.e., the value of Z) is also approximately 1.645.
Therefore, the correct Z-scores for which 90% of the distribution's area lies between -z and Z are (-1.645, 1.645).
Note: The other options given in the question (A) (-1.96, 1.96), (B) (-2.33, 2.33), and (C) (-0.99, 0.99) do not correspond to the Z-scores for which 90% of the distribution's area lies between -z and Z. Option (D) (-1.645, 1.645) is the correct answer.
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We begin our study of regression with what is called simple linear regression (slr). the most basic statistical model says that for an observation xi (called the independent variable), the response variable yi is where which of the following data sets do you think will follow this model?
To determine which data set will follow the simple linear regression (SLR) model, we need to look for a relationship between the independent variable (xi) and the response variable (yi).
The SLR model assumes that there is a linear relationship between the two variables, meaning that as the value of xi increases or decreases, the value of yi also increases or decreases in a straight line.
Therefore, the data set that shows a clear linear relationship between xi and yi is most likely to follow the SLR model. We can use a scatter plot to visualize the relationship between the two variables and determine if it is linear.
If the scatter plot shows a roughly straight line relationship between xi and yi, then the data set is likely to follow the SLR model. On the other hand, if the scatter plot shows a curved or non-linear relationship between xi and yi, then the data set is not likely to follow the SLR model.
So, in summary, the data set that shows a clear linear relationship between xi and yi is the one that is most likely to follow the simple linear regression (SLR) model.
Simple linear regression (SLR), it is important to note that SLR is a method used to model the relationship between a response variable (yi) and an independent variable (observation xi). In this model, the response variable yi is a linear function of the independent variable xi.
Since you have not provided specific data sets to choose from, I am unable to directly indicate which data set will follow this model. However, to identify a data set that would likely follow the simple linear regression model, look for one that exhibits a linear relationship between the independent variable (xi) and the response variable (yi). In such a data set, you would observe a pattern where, as xi increases or decreases, yi would also consistently increase or decrease in a relatively straight line.
To summarize, to determine if a data set follows the simple linear regression model, check if it exhibits a linear relationship between the independent variable (observation xi) and the response variable (yi).
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If the signal had four circular lights, each having the same diameter, what would the total area of all four lights be?
Answer:
The answer is "\(153.86 \ in^2\)"
Step-by-step explanation:
The circular light which fits around rather than is sufficiently large for fire a camera is indeed a ring light. The ring light provides light with very little darkness, as the bright light is very close to a lens's vertical system. It's also usually called glamour or brightness of beauty.
Let's Each light surface area has \(38.465\ in^2\).
Therefore, the total area of four lights is \(38.465 \times 4= 153.86\ in^2\).
please help! what graph matches what equation?
Answer:
A Graph = C ; B Graph = D ; C Graph = B ; D Graph = A
Step-by-step explanation:
Answer:
a. = C.
b. = D.
c. = B.
d. = A.
Step-by-step explanation:
3)If the interior angle of a regular polygon is 35" how many sida does it have?A)5. B) 8 C)6 D) 7
The number of sides the regular polygon has is: B. 8.
How to Find the Interior Angle of a Regular Polygon?A polygon with an n-side have a sum of interior angles which can be determined using the formula: (n - 2)180, where n is the number of sides of the regular polygon.
Thus, to find the measure of each interior angle of the polygon, we have: interior angle of a polygon = sum of interior angles ÷ number of sides.
Given the following information about the regular polygon:
Interior angle of the regular polygon = 135 degrees.
Plug this into the given formula for finding the interior angle of a polygon:
135 = (n - 2)180/n
Multiply n by both sides of the equation
135 × n = (n - 2)180/n × n
135n = (n - 2)180
Open the bracket
135n = 180n - 360
Subtract both sides by 180n
135n - 180n = 180n - 360 - 180n
-45n = -360
Divide both sides by -45
-45n/-45 = -360/-45
n = 8
Thus, the number of sides that the regular polygon has is: B. 8 sides.
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Expand and combine like terms.
(4m" - 5m)(4m + 5m") =
Answer:
(4m - 5m) (4m + 5m)
16m + 20m - 20m - 25m
36 m -45m
=-9m