Graph the system.
y = 3x - 6y = 2/5x+5
What is the estimated solution of the system?
Enter your answer in the blanks. Round each coordinate to the nearest integer.
The lines intersect closest to the integer coordinates
Answers
Answer:
(4, 7)
Step-by-step explanation:
You want the nearest integer solution to the system of equations ...
y = 3x -6y = 2/5x +5GraphThe graph shows the point with integer coordinates that is nearest the solution to these equations is (4, 7).
The line intersect closest to the integer coordinates (4, 7).
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Related Questions
Kalleen wants $100 to buy a new pair of sneakers. She decides to tutor some kids at a rate of $7 an hour. What is the minimum number of hours she needs to tutor to reach her goal?
Answers
Answer:
15
Step-by-step explanation:
Can you help me with this
Answers
The equation of the linear graph is y = x-2
What is linear equation?A linear equation is an algebraic equation of the form y=mx+c. involving only a constant and a first-order (linear) term, where m is the slope and c is the y-intercept. Linear equation can also be defined as an equation with the highest power of the variable to be 1.
on the graph, the y intercept is the point where the graph line crosses the y axis. Therefore the y intercept is -2
The slope of the line = 0-(-2)/2-0
slope = 2/2 = 1
therefore the equation of the graph is ;
y = mx+c
y = x+(-2)
y = x-2
therefore the equation of the linear graph = y = x-2
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Erika’s apartment complex charges a $200 nonrefundable deposit plus $800 monthly rent. Which expression represents the total amount, in dollars, Erika has paid after living in her apartment for x months?
Answers
The amount that Erika pays for living x months in that apartment is given by the linear equation below.
C(x) = $200 + $800*x
Which expression represents the total amount Erika has paid after x months?
We know that there is an initial charge of $200, plus $800 for each month.
So, the cost after the first month is:
C = $200 + $800 = $1000
After the second month the cost is:
C' = $1000 + $800 = $1800
And so on, each month we add $800 to the total cost, then the total cost after x months is modeled by the linear equation below:
C(x) = $200 + $800*x
That is the expression that gives the total amount that Erika has paid after living x months in that apartment.
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What is the first step in solving the equation 20 = 6x
= 6x - 4 solving for x? (1 point)
O Subtract 4 from both sides.
O Subtract 20 from both sides.
O Divide both sides by 6.
O Add 4 to both sides.
Answers
olygons
21
Select the correct answer from each dropdown menu.
AABC has vertices of A(-2,5), B(-4,-2), and C(3,-4).
The length of AB is
The length of BC is
The length of AC is
Therefore, the triangle is
Reset
Next
>
Answers
The triangle is isosecles. AB=BC=√53 units, AC=√106 units
Given the coordinates of ABC: A(-2,5), B(-4,-2), and C(3,-4).
What is distance formula?To find the length of each side of the triangle, we use the distance formula:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length of AB:
[tex]\begin{gathered} AB=\sqrt[]{(-2-5)^2+(-4+ 2)^2} \\ =\sqrt[]{(-7)^2+(-2)^2} \\ =\sqrt[]{49+4} \\ =\sqrt[]{53}\text{ units} \end{gathered}[/tex]
Length of BC:
[tex]\begin{gathered} BC=\sqrt[]{(-4 + 2)^2+(3 + 4)^2} \\ =\sqrt[]{(-2)^2+(7)^2} \\ =\sqrt[]{49+4} \\ =\sqrt[]{53}\text{ units} \end{gathered}[/tex]
Length of AC:
[tex]\begin{gathered} AC=\sqrt[]{(-4 - 5)^2+(3 + 2)^2} \\ =\sqrt[]{(-9)^2+(5)^2} \\ =\sqrt[]{81+25} \\ =\sqrt[]{106}\text{ units} \end{gathered}[/tex]
The lengths of the side of the triangle are;
AB=BC=√53 units, AC=√106 units
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Can you explain how these matrices multiply and provide an answer?
Answers
The product of given matrices is not possible.
What is Matrix?A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
Given that;
The matrix is,
⇒ [tex]\left[\begin{array}{ccc}3&2&5\\2&3&1\\\end{array}\right] * \left[\begin{array}{ccc}4&5&-5\\5&-1&6\\\end{array}\right][/tex]
Now,
Since, The matrix is,
⇒ [tex]\left[\begin{array}{ccc}3&2&5\\2&3&1\\\end{array}\right] * \left[\begin{array}{ccc}4&5&-5\\5&-1&6\\\end{array}\right][/tex]
Here, The product of matrix is not possible because number of column (3) in first matrix is not equal to the number of row (2) in second matrix.
So, The product of given matrices is not possible.
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Amanda was observing insects in a terrarium in her school's science lab. She noticed there were a number of ants
and a number of spiders in the terrarium. She decided to count the number of legs there were all together on all
of the ants and spiders in the terrarium. You can assume that each ant had six legs and each spider had eight legs.
Let a represent the number of ants, and let s represent the number of spiders.
Question # 1: Write an expression using a and s that represents the total number of
legs in the terrarium. Circle the letter of the best answer.
(A) a+s
(B) 6(s+a)
(C) 6a +8s
(D) 8a + 6s
Question #2: What does each term in the expression represent?
Answers
The total number of ants and spiders can be represented using the expression 6a+8s.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
1) Given a is for total number of ants and s is for total number of spiders.
If for one ant, number of legs is 6 legs, then for a number of ants,
total number of legs = 6×a = 6a
Similarly for s number of spiders, total numbers of legs = 8 × s = 8s
Therefore ,Total number of legs of all ants and spiders in terrarium = 6a + 8s
2) The term 6a represent the total number of legs of all ants in terrarium.
The term 8s represent the total number of legs of all spiders in terrarium.
Hence the expression 6a+8s.
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A boat starts at the point A and sails 8 km due East to the point B. The boat sails 4 km due North to the point C. A second boat sails directly from A to C. What was the distance and bearing of the voyage of the second boat. correct to three significant figures?
Answers
The distance and bearing of the second boat are 4√5 km and 63.435°
respectively.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a right angled triangle.
We have to calculate the distance of A from C, which is the distance d.
Using the Pythagoras theorem,
(AC)² = (AB)² + (BC)²
d² = 8² + 4²
d² = 64 + 16
d² = 80
d = √(16 × 5)
= 4√5 km
Bearing is the angle measured clockwise from north.
Let θ be the angle CAB.
sin θ = BC / AC
= 4/ (4√5)
= 1/√5
θ = 26.565°
Bearing, x = 90 - θ = 63.435°
Hence the bearing of the second boat is 63.435°.
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Consider the following.
f(x) = {
1, −L ≤ x < 0,
0, 0 ≤ x < L;
f(x + 2L) = f(x)\
Find the Fourier series for the given function.
Answers
The Fourier series is a summation of sine waves with different amplitudes and frequencies that, when combined, approximate the original function. The coefficients of the sine waves are determined by the values of the function at certain points.
The Fourier series for the given function f(x) can be derived as follows:
Step 1: Calculate the average value of f(x) over one period.
Average value = (1 + 0)/2 = 0.5
Step 2: Calculate the Fourier coefficients for the given function.
Fourier coefficients =[tex](1/2L) + (1/π)∑_(n=1)^∞▒(sin(nπx/L) - sin(nπx/2L))/n[/tex]
Step 3: Construct the Fourier series by combining the Fourier coefficients and the sine waves of different frequencies.
Fourier series = [tex]0.5 + (1/π)∑_(n=1)^∞▒(sin(nπx/L) - sin(nπx/2L))/n[/tex]
The Fourier series is a way of expressing a function as a sum of sine and cosine waves, each of which has a specific amplitude and frequency. This can be used to approximate the original function. To find the Fourier series of a given function, the average value of the function over one period must first be determined. Then, the Fourier coefficients of the function can be calculated, which are determined by the values of the function at certain points. Finally, the Fourier series can be constructed by combining the Fourier coefficients and the sine waves of different frequencies.
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d. 7+4
7
4 how do you guys solve these problem
Answers
Each fraction must first be transformed into its simplest form.Hence, The problem can be solved in this way.
Second, improper fractions ought to be added to an integer and a proper fraction to get their original improper fraction. The second step is usually optional because it only improves the aesthetics of the situation. If you take this action, it is wise to add the expression's fractions and integers separately.After determining the lowest common multiple of each fraction's denominator, each fraction must then be represented by multiplying a suitable number by the denominator and numerator, ensuring that all fractions have the same denominator.The solution is a fraction with the sum of the numerators in the expression as the numerator and the L.C.M. as the denominator.To know more about Fractions here
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Which of the following is a solution of x2 + 4x + 10 = 0? (1 point)
a. 2 + i times the square root of 6
b. −2 + i times the square root of 24
c. −2 + i times the square root of 6
d. 2 + i times the square root of 24
Answers
Answer:
C.
Step-by-step explanation:
While answering this question, please give me an explanation of everything you did in words. 55 points and I’ll give brainiest!
If a bullet is shot straight up with an initial velocity of 48 feet per second, its height s after t seconds is given by the
equation s=-16t^2 +48t. Solve for the time it takes for the bullet to return to the ground. Show your work and explain
the steps you used to solve.
Answers
It will takes 3 seconds for the bullet to return to the ground.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given the function that models the height of a ball
s(t) = -16t² + 48t
At maximum height, the velocity is zero ie. ds/dt = 0
ds/dt = -16t² + 48t
0 = 48 - 16t
48 = 16t
t = 3 secs
Get the maximum height
s(t) = -16t² + 48t
s(t) = -16(3)² + 48(3)
s(t) = 0
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Please help !!! Look at photo!!! I’m being timed I’ll pay u!
Answers
The value of x is = -0.5, for the equation [tex]$$ e^x \times e^{x+1}[/tex], after converting it to logarithm form.
What is logarithm?The inverse function to exponentiation in mathematics is called the logarithm. In other words, to produce a number x, b must be raised to an exponent equal to the logarithm of x to the base b. Assuming that 1000 = 10³, for instance, the logarithm of 1000 in base 10 is 3, or log10 (1000) = 3.
When there is no possibility of confusion or when the base is irrelevant, such as in big O notation, the logarithm of x to base b is written as logb (x), logb x, or even without the explicit base, log x.
When multiplying two powers of the same base, the exponents are added.
= [tex]$$ e^x \times e^{x+1}[/tex]
= [tex]$$ e^{x + x+1}[/tex]
= [tex]$ \text e^{2x+1}[/tex]
= [tex]$ \text e^{2x+1}[/tex] = 1
Convert to logarithm form
[tex]\log_e(1) = 2x+1[/tex]
Solve the equation
Isolate the variable by dividing each side by factors that don't contain the variable.
[tex]$\text x = -\frac{1}{2}[/tex]
x = -0.5
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School gymnasium can hold 256 people for no it’s banquet there will be 10 staff members in the attendance. The principal is trying to determine how many guess each word recipient can invite if each invites the same number of people, there are 41 award recipients. The principles calculations are shown. 41p+ 10<_ 265
41p _> 246
p_>6
Answers
The inequality expression that represents the given word problems is; 41p + 10 ≤ 265
How to solve algebra word problems?Algebraic word problems are defined as the questions that require translation of sentences into equations, and then solving those equations using a single variable.
Now, we are told that the School gymnasium can hold 256 people and that there must be 10 staff members in attendance.
Now, we are told that there are 41 award recipients and that each recipient is to invite the same number of people as guests. Now, if the number of guests each award recipients is to invite is denoted as p, the the inequality representing this problem is expressed as;
41p + 10 ≤ 265
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Which dashed lines do not create a symmetric figure when the figure is folded on
the dashed line?
Check all that are true.
Ob
U
☐
U
С
a
e
d
Answers
The dashed lines b,c,d and e do not create a symmetric figure when the figure is folded on.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
when the figure is folded on the dashed line "a", it will create a symmetric figure.
When the figure is folded on other dashed lines, they will not create a symmetric figure.
The dashed lines b,c,d and e do not create a symmetric figure when the figure is folded on.
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the roof on a shed is a square base pyramid.if one bundle of shingles covers 40ft^2 find the minium number of bundles of shingles needed to cover the roof
slant height is 8.2
Base is 9ft
Answers
The minimum number of bundles of shingles needed to cover the roof of the Square pyramid is 5.
What is a square pyramid?A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called a vertex) is called a square pyramid. It is called a pentahedron, due to its five faces.
Given, the roof of a shed is a square base pyramid. if one bundle of shingles covers 40 ft². Also given, the height of the slant is 8.2ft. and the base is 9 ft.
From the general formula of the surface area of a square pyramid (A)
= [tex]a^{2} + 2a\sqrt{a^{2} /4 + h^{2} }[/tex]
Since we do not need to calculate the area of the base thus we will remove a² which is the area from the equation.
the surface area of a square pyramid (A) = [tex]2*9\sqrt{9^{2} /4 + 8.2^{2} }[/tex]
the surface area of a square pyramid (A) = 168.3 ft²
Since one bundle of shingles covers 40ft^2 Thus for covering 168.3 ft square we are gonna need 5 bundles of shingles.
Therefore, The Square pyramid's roof can be finished with as few as 5 bundles of shingles.
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Before putting toppings on a pizza the pizza maket must use sauce to make a circle on the own on the pizza dough leaving 1 in right of doigh around the pizza shown on the digram
Answers
No cooking is necessary for pizza sauce. Simply combine tomato sauce with the seasonings (basil, oregano, and garlic), then add salt to taste to create a no-cook version.
What Do you need to heat pizza sauce before putting it on pizza?In addition to having a delicious flavor, this recipe's strongest feature is the use of straightforward but flavorful ingredients that you most likely already have in your cupboard. You will require the following:The foundation of this straightforward dish is basic tomato sauce (not paste). Make sure to use plain tomato sauce for this recipe since you'll be adding your own seasoning. Hunt's, Muir Glen, Contadina, and 365 are a few names I enjoy on products (Whole Foods).Using dried basil, oregano, garlic, and red pepper flakes, this dish combines several traditional pizza seasonings (which you can skip for a milder sauce).For this recipe, you may either use fresh garlic or garlic powder. Try both methods and decide which you like best by trying both.Cheese: I like to add a little Parmesan to my sauce, even though it's not customary. It provides a delightful depth of umami flavor. Verify that the cheese is freshly shredded! Too dry to melt into the sauce, the packaged goods are inedible. Missing Parm? In a pinch, you could always omit the cheese (or substitute vegan cheese), and the dish would still be excellent.Kosher salt is best for this dish, in my opinion (and for almost everything else you cook). It is far superior to regular table salt in terms of its crisp flavor.To Learn more About pizza Refer To:
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A pet store has n tanks of fish. Each tank has 22 fish. Using n, write an expression for the total number of fish in the store.
Answers
An expression for the total number of fish in the store is 22n.
How to illustrate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. Since the pet store has n tanks of fish. Each tank has 22 fish. Using n, an expression for the total number of fish in the store will be
= 22 × n
= 22n
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Problem 9 ……….!.!,!,!!,!,
Answers
Answer: Information given below…
Step-by-step explanation:
Find the value of x in the triangle shown below. .
Choose 1 answer:
A = 80
B = 48
C = 132
D = 12
Answers
D) The value of x is 12 units in the triangle shown below:
The value of the base of a right angled triangle, given the length of the hypotenuse is 13 units and the length of the perpendicular is 5 units, is 12 units.
This can be determined by using the Pythagorean Theorem, which states that the square of the length of the hypotenuse of a right angled triangle is equal to the sum of the squares of the lengths of the other two sides (a^2 + b^2 = c^2). In this case, the hypotenuse is 13 units long, and the perpendicular is 5 units long,
so the equation would be: a^2 + 5^2 = 13^2, which can be simplified to: a^2 = 169-25 = 144. Therefore, a = √144 = 12.
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Complete question :
Find the value of x in the triangle shown below. .
Choose 1 answer:
A = 80
B = 48
C = 132
D = 12
Can any one help pls
Answers
Property of equality for
16 = 16 is reflexive property. Answer G.7 + (a + b) = (7 + a) + b is associative property. Answer B.(4y + 1) . 0 = 0 is the property of zero. Answer F.If 5 . 2 = 10 and 10 = √100, then 5 . 2 = √100 is transitive property. Answer I.-2 (x - y) = - 2x + 2y is distributive property. Answer C.3 × (1/3) = 1 is inverse property. Answer E.If 8x = 24, then 24 = 8x is symmetric property. Answer H.(2 + 1) + 9 = (1 + 2) + 9 is commutative property. Answer A.6m . 1 = 6m is identity property. Answer D.Property of equalities
Commutative propertyThe rules
A + B = B + A
A × B = B × A
#8 (2 + 1) + 9 = (1 + 2) + 9
Because 2 + 1 = 1 + 2Associative property
Rules
(A + B) + C = A + (B + C)
(A × B) × C = A × (B × C)
#2 7 + (a + b) = (7 + a) + bDistributive property
Rules
A × (B + C) = (A × B) + (A × C)
A × (B - C) = (A × B) - (A × C)
#5 -2 (x - y) = - 2x + 2y
-2 × (x - y) = (- 2 × x) + (2 × y)Identity property
Rules
M + 0 = 0 + M = M
M × 1 = 1 × M = M
#9 6m . 1 = 6m
6m × 1 = 6m Inverse property
Rules
R + (- R) = 0
R × (1/R) = 1
#6 3 × (1/3) = 1Property of zero
Rules
Q + 0 = 0 + Q = Q
Q × 0 = 0 × Q = 0
#3 (4y + 1) . 0 = 0
(4y + 1) × 0 = 0Reflexive property
Rules K = K
#1 16 = 16Symmetric property
Rules
If p = q then q = p
#7 If 8x = 24, then 24 = 8xTransitive property
Rules
If p = q and q = r then p = r
#4 If 5 . 2 = 10 and 10 = √100, then 5 . 2 = √100.
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Please help ……………………..
Answers
Answer:
x=17
Step-by-step explanation:
the line formed by joining the midpoints of any two sides of a triangle is parallel and half of the third side.
so,
2DE=BC
2X=BC
X=BC/2=34/2
X=17
HELP PLEASSEEEEE!
1) Tori buys wooden picture frames, paints them, and sells them. A-frame and the necessary paint costs Tori $4. To make a profit, she increases the price of the frames by 40%. How much does she charge for the painted frames?
Answers
Answer:The total cost of the painted frame is therefore $4 + $1.6 = $<<4+1.6=5.6>>5.6. This is the price that Tori charges for the painted frames.
Step-by-step explanation:Tori buys a wooden picture frame and the necessary paint for $4. To make a profit, she increases the price of the frames by 40%, so she needs to add $4 * 40/100 = $<<4*40/100=1.6>>1.6 to the cost of the frame.
The total cost of the painted frame is therefore $4 + $1.6 = $<<4+1.6=5.6>>5.6. This is the price that Tori charges for the painted frames.
Points M, R, P, Q, and N all lie on a straight line. Point P is the midpoint of segment MIN.
As well, point Q is the midpoint of segment PN. Finally, point R is the midpoint of segment MQ. If the length of MN is 24 units, which of the following is the length of MR?
Answers
Answer:
the length of MR is 53 units bro
Mr. Sanders bought a 19 pound turkey for thanksgiving. The total cost of the turkey was 26.65.What was the cost of the turkey per pound?
Answers
Answer:
1.40263157895 per pound
Step-by-step explanation:
26.65 divided by 19 = 1.40263157895
Answer:
£1.40 per pound
Step-by-step explanation:
26.65 divided by 19 = 1.40263157895
1.40263157895 rounded is 1.40
So its £1.40 per pound
Hope this helps! :)
Whats the answer to 1 and 1 half + 3 and 3 fourths
Answers
Music player A: y= 191x-32
Music player B: y=-x^2+200x+20
A.On what days did the company sell the same number of each player?
B. How many players were sold on that day?
Answers
The day in which this company sold the same number of each player is on the 13th day.
The number of players on the 13th day is 2,451 players.
How to determine the days?In order to determine the days in which this company sold the same number of each player, we would have to equate the linear equation representing Music player A to the quadratic function representing Music player B and then solve for the value of x.
By equating equation 1 and equation 2, we have the following:
y = 191x - 32 .........equation 1.
y = -x² + 200x + 20 ......equation 2.
191x - 32 = -x² + 200x + 20
x² - 200x - 20 + 191x - 32 = 0
x² - 9x - 52 = 0
Next, we would solve the above quadratic equation by using the factorization method;
x² - 13x + 4x - 52 = 0
x(x - 13) + 4(x - 13) = 0
(x + 4)(x - 13) = 0
x = -4 or 13 days.
Therefore, the company sold the same number of each player on the 13th day.
For the number of players, we have:
y = 191x - 32
y = 191(13) - 32
y = 2,483 - 32
y = 2,451 players.
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833/5000 simplified
Answers
Answer:
833/5000
Step-by-step explanation:
The only way to simplify this is to divide both the numerator and the denominator by 1.
833 ÷ 1 = 833
5000 ÷ 1 = 5000
= 833 / 5000
So therefore, you cannot simplify 833/5000.
Determine the degree measure of one angle of a 30-sided regular polygon. 5,400° 5,040° 180° 168°
Answers
So, the degree measure of one angle of a 30-sided regular polygon is 5,040°.
The degree measure of an angle is a measure of the size of the angle, in degrees. Angles are typically measured in degrees, with a full circle being 360°. The degree measure of an angle can range from 0° to 360°, with smaller angles having a degree measure between 0° and 90°, right angles having a degree measure of 90°, and larger angles having a degree measure between 90° and 360°.
To find the degree measure of one angle of a 30-sided regular polygon, we can use the formula:
angle measure = (n-2) * 180° / n
where n is the number of sides in the polygon. Plugging in n = 30, we get:
angle measure = (30-2) * 180° / 30 = 28 * 180° / 30 = 5,040°
Therefore, the degree measure of one angle of a 30-sided regular polygon is 5,040°. The correct answer is therefore 5,040°.
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The degree measure of One angle of a 30 sided regular polygon is 168°
Now, According to the question:
We know that:
Sum of Angles of a Polygon:-
A regular polygon has all its sides of equal length. All the interior angles of a regular polygon are also equal. The sum of interior angles of a n sided polygon is given as:
(n - 2) × 180°
Let the number of sides of the given polygon be n
but, Value of n = 30 (given)
We will use the side-angle relation of a regular polygon with any no. of sides to find total sum of interior angles that is
(Side - 2) × 180°
(30 - 2) × 180°
= 5040°
Measure of each angle of 30-gon
= 5040°/30
= 168°
Hence, the degree measure of One angle of a 30 sided regular polygon is 168°
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Can you add constants in an algebraic exspression
Answers
It is possible to add constants in an algebraic expression. A constant is simply a number and it can be added or subtracted from any algebraic expression just like a variable. This is true.
How to illustrate the information?For example, consider the algebraic expression 2x + 3. If we want to add a constant c to this expression, we can do so by adding c to both sides of the equation:
The resulting expression is 2x + 3 + c. This new expression represents the same mathematical relationship as the original expression, but with an additional constant term.
It's also important to note that constants can be added, multiplied and divided to an algebraic expression and the resulting expression is still algebraic.
Also, it is important to note that adding a constant to an expression doesn't change the variable, it only changes the constant part of the equation.
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