The properties of a parallelogram are:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Diagonals bisect each other
Diagonals bisect the opposite angles
What is parallelogram?A parallelogram is a four-sided polygon with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and have equal length. Additionally, opposite angles of a parallelogram are also equal in measure.
Let's evaluate each option given in the question against the above properties:
Opposite angles are congruent: This is true, it is one of the properties of a parallelogram.
Opposite sides are parallel: This is true, it is one of the properties of a parallelogram.
Diagonals are congruent to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily congruent.
Has four right angles: This is not true, a parallelogram has opposite angles that are congruent, but not necessarily right angles.
Diagonals bisect the opposite angles: This is true, it is one of the properties of a parallelogram.
Diagonals bisect each other: This is true, it is one of the properties of a parallelogram.
Opposite sides are congruent: This is true, it is one of the properties of a parallelogram.
Diagonals are perpendicular to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily perpendicular.
Therefore, the properties of a parallelogram are:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Diagonals bisect each other
Diagonals bisect the opposite angles
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The properties of a B are:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Diagonals bisect each other
Diagonals bisect the opposite angles
What is parallelogram?
A parallelogram is a four-sided polygon with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and have equal length. Additionally, opposite angles of a parallelogram are also equal in measure.
Let's evaluate each option given in the question against the above properties:
Opposite angles are congruent: This is true, it is one of the properties of a parallelogram.
Opposite sides are parallel: This is true, it is one of the properties of a parallelogram.
Diagonals are congruent to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily congruent.
Has four right angles: This is not true, a parallelogram has opposite angles that are congruent, but not necessarily right angles.
Diagonals bisect the opposite angles: This is true, it is one of the properties of a parallelogram.
Diagonals bisect each other: This is true, it is one of the properties of a parallelogram.
Opposite sides are congruent: This is true, it is one of the properties of a parallelogram.
Diagonals are perpendicular to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily perpendicular.
Therefore, the properties of a parallelogram are:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Diagonals bisect each other
Diagonals bisect the opposite angles
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Input 1 2 Output -1 -2 -3 -4
is this a function
Is this a function: No, this is not a function because the input values are not uniquely mapped to the output values.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
Based on the table shown above, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values).
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En una planta embotelladora, 4 máquinas pueden llenar 12 000 botellas con
yogur en 2,5 horas. Hoy en la planta se ha recibido un pedido de 25 200 botellas, el cual deberá hacerse en 3,5 horas. ¿Cuántas máquinas embotelladoras se tendrán que utilizar?
Answer:
Podemos usar una regla de tres para resolver este problema.
Si 4 máquinas llenan 12 000 botellas en 2,5 horas, entonces en una hora pueden llenar:
12 000 botellas / 2,5 horas / 4 máquinas = 1 200 botellas por hora por máquina
Para llenar 25 200 botellas en 3,5 horas, se necesitaría llenar:
25 200 botellas / 3,5 horas = 7 200 botellas por hora
Para llenar 7 200 botellas por hora, se necesitarían:
7 200 botellas por hora / 1 200 botellas por hora por máquina = 6 máquinas
Por lo tanto, se necesitarían 6 máquinas embotelladoras para llenar el pedido en 3,5 horas.
Step-by-step explanation:
Consider a sequence whose first five terms are -2, 1, 6, 13, and 22.
Select the function with domain n = {1,2,3,4,5} that defines this sequence.
The solution is: a) 1,2,6,24,120 are the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
Here, we have,
The formula for the nth term of the sequence is expressed as
n=(n+1)!/n+1
For the first term, n = 1.
Therefore,
(1+1)!/(1+1)
= 2!/2
= (2×1)/2
= 1
For the second tern, n = 2.
Therefore,
(2+1)!/2+1
= 3! /3
= (3×2×1)/3
= 6/3
= 2
For the third term, n = 3,
therefore
(3+1)!/3+1
= 4!/4
=(4×3×2×1)/4
= 6
For the fourth term, n = 4.
Therefore
(4+1)!/4+1
= 5!/5
= (5×4×3×2×1)/5
= 24
For the fifth term, n = 5.
Therefore
(5+1)!/5+1
= 6!/6
= 6× 5×4×3×2×1)/6
= 120
Hence, The solution is: a) 1,2,6,24,120 are the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
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complete question:
Write the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
a) 1,2,6,24,120
b) 1,2,3,4,5
c) 1,1,3,12,60
d) 1,1,1,1,1
Fred got his first job in 2020. In that year, Social Security tax was 8.25% of income up to $157,700. Medicare tax was 1.5%. If Fred earned $125,000 in 2020, how much did he pay for Social Security and Medicare taxes?
Answer:
Step-by-step explanation:
To calculate the amount Fred paid for Social Security and Medicare taxes in 2020, we first need to calculate the amount of income subject to Social Security tax.
Since Fred earned $125,000, which is less than $157,700, all of his income is subject to Social Security tax.
Therefore, the amount of Social Security tax Fred paid in 2020 is:
$125,000 x 8.25% = $10,312.50
To calculate the amount of Medicare tax Fred paid in 2020, we simply multiply his income by the Medicare tax rate:
$125,000 x 1.5% = $1,875
Therefore, Fred paid a total of $10,312.50 + $1,875 = $12,187.50 for Social Security and Medicare taxes in 2020.
Simplificar la fracción 9/27
Answer:
1/3
Step-by-step explanation:
100 points Due Tomorrow 1. How much will a principal of $2000 become after 5 years in an account with an 8% interest rate compounded quarterly?
Answer:
Step-by-step explanation:
A circular frame that is 2 inches wide surrounds the mirror. what is the combined area, in sqaure inches, of the circular mirror and the frame
The combined area of the mirror and the frame is equal to π(r+2)² square inches.
Width of circular frame surrounds the mirror = 2 inches
Let us denote the radius of the circular mirror by r.
Then, the radius of the circular frame that surrounds the mirror is 'r + 2'.
The combined area of the mirror and the frame is the sum of the areas of the mirror and the frame.
The area of the mirror is πr²,
And the area of the frame
= Area of the larger circle with radius r+2 - Area of the smaller circle with radius r
⇒ Area of frame = π(r+2)² - πr²
Simplifying this expression, we get,
⇒ Area of frame = π(r² + 4r + 4) - πr²
⇒ Area of frame = πr² + 4πr + 4π - πr²
⇒ Area of frame = 4πr + 4π
The combined area of the mirror and the frame is,
πr² + 4πr + 4π
There is no specific value for r.
So we cannot calculate the exact area.
Simplify the expression by factoring out π,
=πr² + 4πr + 4π
= π(r² + 4r + 4)
= π(r+2)² square inches.
Therefore, the combined area of the mirror and the frame is π times the square of the sum of the radii of the mirror and the frame, which is (r+2)².
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REASONING Deja is putting a fence around her yard. The long side of the yard is 12√2
meters, the two shorter sides are each 5√2
meters, and there is a √2
-meter section that runs up to the house. When Deja buys the fencing, she approximates the length of fencing she needs. Write and solve an equation to find the total length of fencing f needed for the yard. Give your answer as a simplified radical expression.
The total length of fencing needed for the yard is 46√2 meters.
To find the total length of fencing needed for the yard, we need to add up the length of all four sides of the fence.
The long side of the yard is 12√2 meters, but we need to add the √2-meter section that runs up to the house to get the total length of the fence for that side:
12√2 + √2 = 13√2
The two shorter sides are each 5√2 meters, so the total length of the fence for both of these sides is:
2(5√2) = 10√2
To find the total length of fencing needed, we add up the lengths of all four sides:
f = 13√2 + 10√2 + 13√2 + 10√2
Simplifying the expression, we can combine like terms:
f = (13 + 10 + 13 + 10)√2
f = 46√2 meters
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a game console priced at $428 ia sold for $360. find the discount as a percentage of the selling price
The discount on the game console is 15.89% of the selling price.
To find the discount as a percentage of the selling price, we first need to calculate the discount amount. This can be found by subtracting the selling price from the original price:
Discount = Original Price - Selling Price
Discount = $428 - $360
Discount = $68
Next, we can calculate the discount as a percentage of the selling price by dividing the discount amount by the selling price and multiplying by 100:
Discount % = (Discount / Selling Price) * 100
Discount % = ($68 / $428) * 100
Discount % = 0.1589 * 100
Discount % = 15.89%
Therefore, the discount on the game console is 15.89% of the selling price.
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this and the notation , help!:__)
After comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.
A transformation known as a rotation involves turning the figure either clockwise or counterclockwise. The centre of rotation is the fixed location where the rotation occurs. The term "angle of rotation" refers to the amount of rotation. A figure can be rotated 90 degrees, or a quarter turn, in either a clockwise or counterclockwise direction.
You have rotated the figure 180 degrees when you have spun it exactly halfway. The figurine may be rotated 360° by turning it all the way around. A counterclockwise turn has a positive magnitude because a clockwise rotation indicates a negative magnitude. Rotational symmetry exists in every regular polygon. When an object is rotated around its centre, it retains its original appearance. The object is then referred regarded as having rotational symmetry.
Let's write the coordinates of the original figure,
A = (1, -5)
B = (6, -2)
C = (6, -5)
D = (1, -8)
Now, if we rotate it 90 degrees counterclockwise, the coordinates are:
A' = ( 5, 1)
B' = (2, 6)
C' = (5, 6)
D' = (8, 1)
Now if we rotate it again 90 degrees counterclockwise, the coordinates are:
A'' = ( -1, 5)
B'' = (-6, 2)
C'' = (-6, 5)
D'' = (-1, 8)
Now from the figure, let's write the coordinates.
A' = ( -1, 5)
B' = (-6, 2)
C' = (-6, 5)
D' = (-1, 8)
This is the same as the coordinates of the second 90 degrees counterclockwise rotation.
Since we did two 90 degrees rotations, we can say we did a total of 180° counterclockwise rotation.
Therefore after comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.
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Which following graphs shows a line whit a positive slope
Answer: A. Graph A
this is the answer because yes
The graph A shows the positive white line, this is because the line cuts across both the x- axis and that of the y- axis
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
12cm
6cm
6v3
6v2
Answer:
12cm aka B.
Step-by-step explanation:
In a 30-60-90 triangle, the hypotenuse is always twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg.
Since the length of the shorter leg is 6 cm, the hypotenuse is:
2 times the length of the shorter leg = 2 × 6 cm = 12 cm
Therefore, the length of the hypotenuse of the triangle is 12 cm.
Your welcome
HELP ME PLEASEEEE!! BRAINLIEST!!!!
Question
What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Key: 2|5 means 25
A stem-and-leaf plot with a stem value of 1 with a leaf value of 2, 3, 5, a stem value of 2 with a leaf value of 8 and 8, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 2. (image may help)
whitch inequality represents this situation
Option B is correct, the inequality which represents the length of segment AB is greater than length of segment AD is 9x-16>1.5x+42
The given rectangle is ABCD.
The length of segment AB is 9x-16 units
The length of segment AD is 1.5x+42 units
We have to find the inequality which represents the length of segment AB is greater than length of segment AD
> is the symbol used to represent greater than
AB>AD
9x-16>1.5x+42
Hence, option B is correct, the inequality which represents the length of segment AB is greater than length of segment AD is 9x-16>1.5x+42
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Find the roots of the polynomial shown. What is the value of the largest root?
f(x)=x^3+2x^2-11x-12
The required roots of the equation f(x)=x³+2x²-11x-12 are -1, -4, and 3 and the value of the largest root is 3.
The given polynomial is f(x)=x³+2x²-11x-12
We have to find the roots of the given polynomial f(x), we can use a method called "factoring by grouping"
The equation can be written as x³+2x²-11x-12
x(x²+2x-11)-12=0
x(x²+2x+1-1-11)-12=0
x((x+1)²-12)-12=0
x(x+1)² - 12x - 12 =0
(x+1)(x²+x-12)=0
(x+1)(x+4)(x-3)=0
x+1 = 0 ---->x=-1
x+4 = 0---->x=-4
x-3=0---->x=3
Hence, the required roots of the equation f(x)=x³+2x²-11x-12 are -1, -4, and 3 and the value of the largest root is 3.
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A type of paper is 40cm long,32cm wide and 0.8mm thick.The paper costs she.10 per cubic metres.Find the total cost of a pile of such paper of height 4.8m
Answer:
Total cost = Total volume x Cost per cubic meter = 0.6144 cubic meters x S$10/cubic meter = S$6.14
Therefore, the total cost of the pile of paper is S$6.14.
Step-by-step explanation:
Length = 40 cm = 0.4 m
Width = 32 cm = 0.32 m
Thickness = 0.8 mm = 0.0008 m
The total cost of a pile of paper with a height of 4.8 meters is she.0.0049152.
How to solve for the cost of the paperLength of paper: 40 cm = 0.4 m
Width of paper: 32 cm = 0.32 m
Thickness of paper: 0.8 mm = 0.0008 m
Volume of a single sheet of paper = Length × Width × Thickness
= 0.4 m × 0.32 m × 0.0008 m
= 0.0001024 m³
Total volume of the pile = Volume of a single sheet of paper × Height of the pile
= 0.0001024 m³ × 4.8 m
= 0.00049152 m³
Total cost = Total volume of the pile × Cost per cubic meter
= 0.00049152 m³ × she.10/m³
= she.0.0049152
Therefore, the total cost of a pile of paper with a height of 4.8 meters is she.0.0049152.
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brainliest and 100 points! i really appreciate the help, and please let me know if you need help on anything, thanks!!
Answer:
SSS, SAS, ASA, AAS, and HL are valid and sufficient criteria to prove that two triangles are congruent.
Calculate the change in thermal when 230 g of water warms from 12c to 90c
The change in thermal energy is 75.06 kJ.
To calculate the change in thermal energy, we need to use the specific heat capacity of water, which is 4.184 J/(g°C).
First, we need to calculate the change in temperature:
ΔT = 90°C - 12°C
ΔT = 78°C
Next, we can calculate the change in thermal energy:
ΔQ = m × c × ΔT
where m is the mass of water and c is the specific heat capacity of water.
ΔQ = 230 g × 4.184 J/(g°C) × 78°C
ΔQ = 75060.96 J or 75.06 kJ (rounded to two decimal places).
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Rewrite log(49) using the exponent property for logs
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(49)=y\implies \log_{10}(49)=y\implies 1.690196\approx y \\\\\\ \log_{10}(49)\approx 1.690196\implies \stackrel{\textit{then we can say}}{10^{1.690196}\approx 49}[/tex]
type the correct answer in the box. use numerals instead of words. the composite figure shown has a surface area of 844 square centimeters. 3-d composite shape formed by placing a rectangular pyramid over a rectangular prism that shares a common base. prism has a length of 18 centimeters, a width of 10 centimeters, and a height labeled x centimeters. height of pyramid is 12 centimeters. what is the height of the rectangular prism? the height of the prism is centimeters.
The height of the rectangular prism is 1.148 centimeters.
Let the height of the rectangular prism be y centimeters. The surface area of the composite figure is the sum of the surface areas of the rectangular prism and the rectangular pyramid.
Surface area of rectangular prism = 2lw + 2lh + 2wh
= 2(18)(10) + 2(18)(y) + 2(10)(y)
= 360 + 36y + 20y
= 360 + 56y
Surface area of rectangular pyramid = lw + (l/2)[tex]\sqrt{w/2^{2} +h^{2} }[/tex]+ (w/2)[tex]\sqrt{l/2^{2} +h^{2} }[/tex] + l*[tex]\sqrt{w/2^{2} +l/2^{2} +h^{2} }[/tex]
= (1810)/2 + (18/2)*[tex]\sqrt{5^{2} +12^{2} }[/tex]+ (10/2)[tex]\sqrt{9^{2} +12^{2} }[/tex] + 18[tex]\sqrt{5^{2} +9^{2} +12^{2} }[/tex]
= 90 +( 54 + 45 + 324)[tex]\sqrt{29}[/tex]
= 414[tex]\sqrt{29}[/tex] + 90
Therefore, the surface area of the composite figure = Surface area of the rectangular prism + Surface area of the rectangular pyramid
844 = 360 + 56y + 414[tex]\sqrt{29}[/tex] + 90
Subtracting 450 from both sides and then dividing by 56, we get:
y + 15[tex]\sqrt{\frac{29}{2} }[/tex] = 7
y = 1.148
Therefore, the height of the rectangular prism is approximately 1.148 centimeters when rounded to three decimal places.
Hence, the height of the rectangular prism is 1.148 centimeters.
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Answer:
Step-by-step explanation:
The height of the rectangular prism is 1.148 centimeters.
Let the height of the rectangular prism be y centimeters. The surface area of the composite figure is the sum of the surface areas of the rectangular prism and the rectangular pyramid.
Surface area of rectangular prism = 2lw + 2lh + 2wh
= 2(18)(10) + 2(18)(y) + 2(10)(y)
= 360 + 36y + 20y
= 360 + 56y
Surface area of rectangular pyramid = lw + (l/2)+ (w/2) + l*
= (1810)/2 + (18/2)*+ (10/2) + 18
= 90 +( 54 + 45 + 324)
= 414 + 90
Therefore, the surface area of the composite figure = Surface area of the rectangular prism + Surface area of the rectangular pyramid
844 = 360 + 56y + 414 + 90
Subtracting 450 from both sides and then dividing by 56, we get:
y + 15 = 7
y = 1.148
Therefore, the height of the rectangular prism is approximately 1.148 centimeters when rounded to three decimal places.
Hence, the height of the rectangular prism is 1.148 centimeters.
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Edward is making his special punch for the Starry Night homecoming dance.
There is a proportional relationship between the number of cans of peach juice concentrate in a punch bowl, x, and the corresponding number of bottles of lemon-lime soda, y.
x (cans of peach juice concentrate) y (bottles of lemon-lime soda)
2 6
3 9
4 12
5 15
Write an equation for the relationship between x and y. Simplify any fractions.
y=
Answer: y = 3x
Step-by-step explanation:
In order to solve this particular question, we're first just going to look at the differences between the x and y values.
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
Therefore y = 3x
Without graphing, determine whether each linear system has:
one solution
no solution
or infinitely many solutions.
a) 3x - y = 17
6x + 2y = -8
b) y = 2x - 5
4x - 2y = 10
c) 5x - y = 4
-5x + y - 4 = 0
d) 2x - y = 3
x - 2y = 3
Regarding resolving the given issue, we have Therefore, the system has one solution: (x,y) = (13/6, -21/2)
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
a)
To solve the system, we can multiply the first equation by -2, then add the two equations:
[tex]-6x + 2y = -34\\6x + 2y = -8\\0x + 4y = -42\\y = -42/4\\y = -21/2\\3x - (-21/2) = 17\\3x + 21/2 = 17\\3x = 17 - 21/2\\3x = 13/2\\x = 13/2 * 1/3\\x = 13/6\\[/tex]
Therefore, the system has one solution: (x,y) = (13/6, -21/2)
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URGENT* please help
Answer: JTL, LTK, JTK
Step-by-step explanation:
Prove the identity a p(p−1) ≡ 1 (mod p 2 ), where a is coprime to p, and p is prime. (Hint: Try to mimic the proof of Fermat’s Little Theorem from the notes.)
To prove this identity, we start with Fermat's Little Theorem, which states that if p is a prime number and a is any integer coprime to p, then a^(p-1) ≡ 1 (mod p).
Using this theorem, we can rewrite the given identity as a^(p-1) * a(p-2) ≡ 1 (mod p^2).
Next, we can multiply both sides by a to get a^(p-1) * a(p-1) ≡ a (mod p^2).
Since a and p are coprime, we can use Euler's Totient Theorem, which states that a^φ(p) ≡ 1 (mod p) where φ(p) is the Euler totient function. Since p is prime, φ(p) = p-1, so a^(p-1) ≡ 1 (mod p).
Using this result, we can rewrite our identity as a^(p-1) * a(p-1) * a^-1 ≡ a^(p-1) ≡ 1 (mod p), which implies that a^(p-1) ≡ 1 (mod p^2).
Therefore, we have proven the identity a p(p−1) ≡ 1 (mod p 2 ), where a is coprime to p, and p is prime.
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Choose ALL the numbers that round up when rounding to the nearest tenth.
1.555
5.91
12.099
3.46
0.52
16.147
Answer:
1.555,12.099,3.46
Step-by-step explanation:
When rounding 5 and above goes up and 4 and below goes down.
Hope this helps!!! :)
please answer: A city held an election for mayor. This table shows the number of votes that were cast by people in different age groups.
How many more votes were cast by people in the 56 and up age group than by people in the 18 to 35 and 36 to 55 age groups combined?
3,638 more votes were cast by people in the 56 and up age group than by people in the 18 to 35 and 36 to 55 age groups combined.
How to obtain the amounts?From the table, the amount of votes for each age range is given as follows:
18 to 35 years: 10,673 votes.36 to 55 years: 21,372 votes.56 and up: 35,683 votes.The combined amount of votes of people in the 18 to 35 and 36 to 55 age groups is given as follows:
10673 + 21372 = 32,045 votes.
Then the difference in the number of votes of people in the 56 and up age range is given as follows:
35683 - 32045 = 3,638.
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Answer:
3,638 votes more than 18 to 35 and 36 to 55.
Step-by-step explanation:
you subtract and you add
Someone please, help I don't understand.
Applying the inscribed angle theorem and the triangle sum theorem, the measure of angle EGA is: 70°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states the following:
Measure of intercepted arc = 2(measure of inscribed angle)
What is the Triangle Sum Theorem?The triangle sum theorem posits that, all three interior angles of a triangle will have a sum of 180 degrees.
m<AEB = 1/2(measure of arc AB) [based on the inscribed angle theorem]
Substitute:
m<AEB = 1/2(64)
m<AEB = 32°
m<DAE= 1/2(measure of arc DE) [based on the inscribed angle theorem]
Substitute:
m<DAE= 1/2(72)
m<DAE= 36°
m<EGA = 180 - m<AEG - m<DAE [based on the triangle sum theorem]
Substitute:
m<EGA = 180 - (42 + 32) - 36
m<EGA = 70°
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a local citizen science group is monitoring the water quality of a nearby lake. they gather water samples once a week on wednesday between the hours of 7 a.m. and 9 a.m. from the same location. one day in august they were unable to sample within that time frame and collected the sample at 3 p.m.how might this modification to the sampling procedure affect the results?responseswater sampled later in the day may be warmer and therefore have
The modification to the system of sampling procedure will affect amount of dissolved oxygen in the water, leading to many consequences and finally resulting in rejection of collected data .
In short, the time of day when a sample is collected is regarded as crucial phase which can adversely affect the results of a water quality test. The temperature of the water plays a important role which can change throughout the day, and also put lots of stress on the amount of dissolved oxygen in the water.
Dissolved oxygen is an imperative measure for checking the water quality because it is a survival need for aquatic life. The total amount of sunlight that penetrates the water seriously affects the amount of dissolved oxygen in the water. In the event if a sample is acquired at a different time than usual, it may not be accurate to other samples that were taken at different times.
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The complete question is
A local citizen science group is monitoring the water quality of a nearby lake. They gather water samples once a week on Wednesday between the hours of 7 A.M. and 9 A.M. from the same location. One day in August they were unable to sample within that time frame and collected the sample at 3 P.M. How might this modification to the sampling procedure affect the results?
Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1
an = 2(2)n
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