Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
\(1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm\)
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
\(1000 + 200 = 1200 square cm,\\Option A - Correct!\)
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
\(20 * 60 = 1200 square cm,\\Option B - Correct!\)
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
\(1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct!\)
Hope that helps!
Python formats all floating point numbers to two decimal places when outputting using the print statement O True O False 1 pts >> Question 9 The if statement causes one or more statements to execute only when a Boolean expression is true. O True O False
Python formats all floating point numbers to two decimal places when outputting using the print statement. (FALSE)
The if statement causes one or more statements to execute only when a Boolean expression is true. ( TRUE)
What are Floating Points?Floating point is a number format that can be used to represent a large or small value.
In writing this number is done by writing it in exponential form, so that the number has a base number, the exponential number and the base number.
The following is writing scientific notation in floating point. example in decimal numbers
261,000,000,000 written 2.61 x 10¹¹
0.000000000261 is written 2.61 x 10^-10
The Floating point representation itself has two parts, namely the mantissa part and the exponent part. The mantissa determines the digits, while the exponent determines the value of how many powers the mantissa is, as follows:
±S * B±E
S = Significant also called mantissa
E = Exponent
B = Base
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What is the volume of a right cylinder with a height of 3 feet and a radius of 8 feet?
Use 3.14 for pi.
Answer:
V = 602.88 cubic feet
Step-by-step explanation:
The formula for the volume of a right cylinder is:
V = πr^2h
where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi.
Using the given values and approximating π to 3.14, we can substitute in:
V = 3.14(8 ft)^2(3 ft)
Simplifying and evaluating, we get:
V = 602.88 cubic feet
Therefore, the volume of the right cylinder with a height of 3 feet and a radius of 8 feet, using π = 3.14, is approximately 602.88 cubic feet.
Nine actors audition for four different parts in a play in how many ways can the director fill these roles ?
3024 is the answer, i took the test.
The number of ways the director can fill the roles is 126 ways.
Given that, nine actors audition for four different parts in a play.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Here, 9 actors audition for 4 different parts in a play is
9C4 = 9!/4!(9-4)!
= (9×8×7×6×5!)/(4×3×2×1)5!
= (9×8×7×6)/(4×3×2×1)
= 3×2×7×3
= 126 ways
Therefore, the number of ways the director can fill the roles is 126 ways.
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CAN SOMEONE PLEASE HELP ME FIND WHICH MAPPING DIAGRAM REPRESENTS A FUNCTION????
Answer:
Step-by-step explanation:
Only (C) is represents the function.
HrjrjdjrjruururuGnore this
prove that cos⁴x+sin⁴x=1-2sin²xcos²x
To verify:
cos⁴x+sin⁴x=1-2sin²xcos²x
we have,
LHS= sin⁴x+cos⁴x
=(sin²x)²+(cos²x)² +2sin²x cos²x - 2sin² cos²x
(by adding and subtracting 2sin²x cos²x)
=(sin²x +cos²x )² - 2 sin²x cos²x
=1-2sin²x cos²x =RHS
Therefore LHS=RHS
The study of angles and the angular relationships of planar and three-dimensional figures is known as trigonometry. It is the branch of mathematics concerned with specific functions of angles and their application to calculations.
Trigonometry as the name suggests is all about triangles. More specifically, it is about right-angled triangles.
The trigonometry functions (also called the circular functions) comprising trigonometry are the cosecant, cosine(cos), secant, sine(sin), and tangent(tan).
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A triangular window has area
24 square feet and height six feet.
What is its base?
Select the correct answer.
A building has a triangular rooftop terrace which is modeled by triangle A BC. In triangle A BC, the measure of XA is 55°. the measure of
XB is 65°, and the measure of C is 60°.
Which side of the terrace has the greatest length?
Considering the angles of the triangle, side AC has the greater length, as it is opposite to the greatest angle.
Which side has the greatest length on a triangle?It is the side that is opposite to the angle with the greatest measure.
In this problem, angle B has the greatest measure, of 65º, hence side AC has the greater length, as it is opposite to angle B.
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Answer:
Side AC has the greatest length
Step-by-step explanation:
Someone remind me what is the rule for reflecting both x and y on a coordinate plane when you reflect on the x do you change the y or and on the y do you change the x and how would this work on negative example:( -x,y ) and ( x,-y ) *can you show me how to do that using reflection on both x and y* much appreciated (middle school math i don’t why it’s says high school)
Therefore, for the first coordinate point (-x, y), the ultimate reflected points are (-x, -y) and (-x, -y), and for the second point, they are (x, -y) and (-x, -y) .
Describe coordinate plane.A coordinate system is a technique used to precisely find points or additional mathematical objects on a distance, such as Euclidean space, by using one or so more values or coordinates. To find a point or item on a double plane, one uses coordinates, which are pairs of numbers. Two numbers called the y and x matrices are used to describe a point's location on a two-dimensional plane. a set of numbers used to identify specific locations.
Here,
The x-coordinate remains constant and the y-coordinate is cancelled when a point on the coordinate plane is reflected over the x-axis (i.e. multiplied by -1). The y-coordinate remains constant and the x-coordinate is cancelled when a point is reflected over the y-axis.
Let's mirror the point (-2, 3) first over the x-axis and then over the y-axis as an illustration:
The x-coordinate remains constant while the y-coordinate is cancelled when reflecting over the x-axis. In light of this, the argument is (-2, -3).
The x-coordinate is cancelled while the y-coordinate remains constant when reflecting over the y-axis. In light of this, the argument is (2, -3).
We can reflect the coordinates (-x, y) and (x, -y) over the x-axis and then over the y-axis:
Therefore, for the first point (-x, y), the ultimate reflected points are
(-x, -y) and (-x, -y), and for the second point, they are (x, -y) and (-x, -y) .
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What expression should be used to access the first element of an array of integers called numbers? What expression should be used to access the last element of numbers, assuming it contains 10 elements? What expression can be used to access its last element, regardless of its length?
To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.
To access the last element of "numbers," assuming it contains 10 elements, use the expression:
`numbers[9]`
Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."
To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.
To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:
'numbers [numbers. length - 1]'
This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.
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For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number is 40% of 1602
Answer:
A. 160 Out of 40 is 400%./// B. The answer is 25/// C. The answer is 3905%
Step-by-step explanation:
( A ) One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 160 is 40% of = 160 X 100 = 400
40
( B ) The same thing as A but the numbers are switched
One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 40 is 160% of = 40 × 100 = 25
160
( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:
1602 - 40 = 1562
Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:
1562 = 39.05
40
We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?
39.05 x 100 = 3905%
160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Problem A,
40% of 160 = 160 x 40 / 100
= 64
Problem B,
160% of 40 = 160 x 40 / 100
= 64
Problem C,
40% of 1602 = 1602 x 40 / 100
= 640.8
Therefore, 160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
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1.83 find some values of z. the wechsler adult intelligence scale (wais) is the most common iq test. the scale of scores is set separately for each age group, and the scores are approximately normal, with mean 100 and standard deviation 15. people with wais scores below 70 are considered developmentally disabled when, for example, applying for social security disability benefits. what percent of adults are developmentally disabled by this criterion?
The percent of adults who are developmentally disabled by the criterion of an IQ score below 70 is approximately 2.28%
We can use the standard normal distribution in order to find the probability of an IQ score below 70.
We know the mean IQ score is 100 and the standard deviation is 15, so we can use the formula:
z = (70 - 100) / 15
z = -2
Using a normal probability table, we find that the probability of a score less than -2 is approximately 0.0228.
Therefore, we get that approximately 2.28% of adults are considered developmentally disabled by the criterion of an IQ score below 70.
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Harry and his family travel 204 miles in 3.4 hours. If they continue at this constant speed, how long will it take them to travel 420 miles?
Answe
7
Step-by-step explanation:
204 dived by 3.5
i did 204 dived by 60 then
420 dived by 60
The time taken by the family to reach is T = 7 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed be represented as S
Now , the value of S is
S = D / T
speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour
where , the distance D = 420 miles
And , T = 420 / 60
T = 7 hours
Hence , the time taken for 420 miles is 7 hours
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PLS help w my iready
Answer:
m<-63
Step-by-step explanation:
multiply by 1:
1m/3<-21
multiply all terms by the same value to eliminate fraction denominators: m/3<-21
3 x m/3<3(-21)
Cancel multiplied terms that are in the denominator:
m<3(-21)
Multiply the numbers:
m<-63
Chandler buys a pair of tennis shoes for $89.99. If the shoes are discounted 35% and there
is 7.5% sales tax, how much will he pay in total for the shoes?
Total amount he will pay is equal to 62.880 after giving discount of 35% and adding the sales tax of 7.5%.
What is Discount ?Discount is the total price which is deducted from the original terms so as we have to pay less.
Discount is always given on the marked price of the article.
Marked price is the cost at which article is marked.
Chandler buy shoes of $89.99.
Total discount on shoes = 35%
Price after getting Discount = 58.4935
Sales Tax = 7.5 %
Price after sales tax = 58.4935 + 7.5% of 58.4935
= 62.880
So total amount he will pay is equal to 62.880.
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Can somebody tell me what is 30% of 240
Answer:
72
Step-by-step explanation:
Answer:
first write 30% as fraction
30/100 then "of" means multiplication
30/100×240
=72
can i have brainliest if it helped
Step-by-step explanation:
Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 23 ∘ 23, degrees. Howard wants the chairs to be 3.5 3.53, point, 5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
\( cos \theta = \frac{h}{L} \)
Substituting figures, we have:
\( cos(23) = \frac{h}{4} \)
Let's make h subject of the formula.
\(h = 4cos(23) = 3.68 \)
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Let f(x) = [infinity] xn n2 n = 1. find the intervals of convergence for f. (enter your answers using interval notation. ) find the intervals of convergence for f '. find the intervals of convergence for f ''
Best guess for the function is
\(\displaystyle f(x) = \sum_{n=1}^\infty \frac{x^n}{n^2}\)
By the ratio test, the series converges for
\(\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{(n+1)^2} \cdot \frac{n^2}{x^n}\right| = |x| \lim_{n\to\infty} \frac{n^2}{(n+1)^2} = |x| < 1\)
When \(x=1\), \(f(x)\) is a convergent \(p\)-series.
When \(x=-1\), \(f(x)\) is a convergent alternating series.
So, the interval of convergence for \(f(x)\) is the closed interval \(\boxed{-1 \le x \le 1}\).
The derivative of \(f\) is the series
\(\displaystyle f'(x) = \sum_{n=1}^\infty \frac{nx^{n-1}}{n^2} = \frac1x \sum_{n=1}^\infty \frac{x^n}n\)
which also converges for \(|x|<1\) by the ratio test:
\(\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{n+1} \cdot \frac n{x^n}\right| = |x| \lim_{n\to\infty} \frac{n}{n+1} = |x| < 1\)
When \(x=1\), \(f'(x)\) becomes the divergent harmonic series.
When \(x=-1\), \(f'(x)\) is a convergent alternating series.
The interval of convergence for \(f'(x)\) is then the closed-open interval \(\boxed{-1 \le x < 1}\).
Differentiating \(f\) once more gives the series
\(\displaystyle f''(x) = \sum_{n=1}^\infty \frac{n(n-1)x^{n-2}}{n^2} = \frac1{x^2} \sum_{n=1}^\infty \frac{(n-1)x^n}{n} = \frac1{x^2} \left(\sum_{n=1}^\infty x^n - \sum_{n=1}^\infty \frac{x^n}n\right)\)
The first series is geometric and converges for \(|x|<1\), endpoints not included.
The second series is \(f'(x)\), which we know converges for \(-1\le x<1\).
Putting these intervals together, we see that \(f''(x)\) converges only on the open interval \(\boxed{-1 < x < 1}\).
A registered golden retriever has a litter of 11 puppies. Assume that the probability of a puppy being male is 0.5. What is the probability at least 7 of the puppies will be male?
The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.
To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.
P(X ≥ k) = 1 - P(X < k)
where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.
We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.
P(X=k) = nCk * pk * (1-p)n-k
where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:
P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)
P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125
P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375
P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438
P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875
P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375
P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125
P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875
P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805
Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.
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MULTIPLE CHOICE
Question 10
Liam wants to treat some friends to lunch. He has $50 and knows that lunch will cost $8 per person. For how many people can Liam buy lunch?
A
Liam can buy lunch for 7 or fewer people, including himself.
B
Liam can buy lunch for 7 or more people, including himself.
C
Liam can buy lunch for 6 or fewer people, including himself.
D
Liam can buy lunch for 6 or more people, including himself.
Answer:
C
Step-by-step explanation:
8 x 6 would equal 48, which results in not having enough money to buy lunch for more people.
Answer:
the answer should be c
Step-by-step explanation:
let's do a equation for this problem.
8x = 50
/8 /8
x = 6.25
x represents the amount of friends. we divide 8 by both sides to isolate x by itself.
since the final result gives us a decimal, we have to round it to the nearest whole number. it's not possible to have a decimal amount of friends. it should be 6. it cannot be 7 if you are wondering because 7 is bigger than 6.25. there's no way there can be 7 friends when there is a limit amount of 6. therefore, the answer is c.
Which expression is equal to (5−2i)−(1+3i)
Answer:
4-5i
Step-by-step explanation:
Answer:
4-5i
Step-by-step explanation:
(5-2i)-(1+3i)
5-2i-1-3i
5-1-2i-3i
4-5i
I’m almost done with this
Answer: Her mom's candle had the stronger scent peppermint is very strong it makes your eyes water
Step-by-step explanation:
One week into the course, a 27-year-old student is added to Mr. McKee's section roster. How does this change affect the standard deviation of the set of student ages?
The standard deviation will stay the same as it is not affected by a change in a single measurement,
What is a standard deviation?
A standard deviation is a measure of how dispersed the data when compared to the mean.
In this case, the standard deviation will stay the same as it is not affected by a change in a single measurement. Therefore, the change will not affect the standard deviation of the set of student ages.
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What is the correct factorization of
x2 – 10x + 24?
-
a. (x – 4)(x – 6)
b. (x + 4)(x – 6)
c. (x − 2)(x + 12)
d. (x + 2)(x – 12)
if the divisor is 3 and the quotient is 12 what is the dividend
Answer:
4
Step-by-step explanation:
3*4 is 12 and if you divide 12 by 3(the divisor) you will get 4
The dividend of the given divisor and quotient is 36.
The dividend is the number that is being divided in a division problem. In this case, we can use the formula:
Dividend = divisor × quotient
Here is the step-by-step explanation:
Plug in the given values for the divisor and quotient into the formula: dividend = 3 × 12Multiply the divisor and quotient: dividend = 36The dividend is 36.Therefore, if the divisor is 3 and the quotient is 12, the dividend is 36.
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What’s is the perimeter and area of 14.3 yds and 12 yds
Answer:
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
perimeter = 2(length + width)
In this case, the length is 14.3 yards and the width is 12 yards. Substituting these values into the formula, we get:
perimeter = 2(14.3 + 12)
perimeter = 2(26.3)
perimeter = 52.6 yards
Therefore, the perimeter of the rectangle is 52.6 yards.
The area of a rectangle is given by the formula:
area = length x width
Substituting the length and width values, we get:
area = 14.3 x 12
area = 171.6 square yards
Therefore, the area of the rectangle is 171.6 square yards.
Prove that
secθ+1 / tanθ = tanθ / secθ−1
To prove that secθ + 1 / tanθ = tanθ / secθ−1, we can use trigonometric identities.
First, we will define secθ as 1/cosθ and tanθ as sinθ/cosθ.
Now, we can substitute these definitions into the equation to get:
secθ + 1 / tanθ = (1/cosθ) + 1 / (sinθ/cosθ)
And, tanθ / secθ−1 = (sinθ/cosθ) / (1/cosθ) - 1
Expanding both sides using basic algebraic manipulations, we get:
(1/cosθ) + 1 / (sinθ/cosθ) = (1/cosθ) * ((sinθ/cosθ) + cosθ/cosθ)
= (sinθ/cosθ) / (1/cosθ) - 1
= (sinθ/cosθ) * (cosθ/1) - 1
= (sinθ) / 1 - 1
= sinθ.
Therefore, secθ + 1 / tanθ = tanθ / secθ−1 has been proven.
Which expression is equivalent to (9.2 × 12) + (9.2 × 10.4)
Answer:
9.2(12+10.4)
Step-by-step explanation:
find the value of k if the line joining the points P(k,7) amd Q(5k,-5) has gradient of 2
50 pht helppppppppppppppppppppppppppppppppppppppp pls urgent
Answer:
$135
Step-by-step explanation:
15-12=3/2=1.5
12+1.5=13.5
13.5*10=135
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = \(\dfrac12(a+b)h\)
where a and b are the parallel sides (bases) and h is the height
Therefore,
\(area=\dfrac12(15+12) \times 10 = 135 \ m^2\)
If the price of sod is $12 per square metre, then
total cost = 135 x 12 = $1620
Which is the formula for finding the sum of the interior angles of a polygon?
A. 180° (n – 1), where n is the number of sides
B. 90° (n – 2), where n is the number of sides
C. 90° (n – 1), where n is the number of sides
D. 180° (n – 2), where n is the number of sides
Answer:
The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.
Step-by-step explanation:
Answer:
(n-2)x 180 degrees
Step-by-step explanation: