To determine whether a precipitation raster is an integer or a floating-point raster, you can examine its properties or metadata. Here are a few ways to check:
Data type: Look at the data type of the raster values. If the data type is integer (e.g., Int16, UInt8), then the precipitation raster is likely an integer raster. If the data type is floating-point (e.g., Float32, Float64), then it is a floating-point raster.
NoData values: Check if the raster has any NoData values. If there are NoData values specified, they are typically represented by a specific value such as -9999. If the raster has NoData values, it is more likely to be a floating-point raster since it allows for greater precision and flexibility in representing missing or invalid data.
Statistical summary: Calculate the statistical summary of the raster values, such as minimum, maximum, mean, and standard deviation. If the statistical summary includes decimal values (e.g., mean = 3.245), it indicates that the raster is a floating-point raster.
By examining these properties or metadata of the precipitation raster, you can determine whether it is an integer or a floating-point raster.
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after six biology tests, ruben has a mean score of 80. what score does ruben need on the next test to raise his average (mean) to 82?
Answer:
94
Step-by-step explanation:
The mean score is the sum of the test scores divided by the number of tests.
Let s = sum of the scores of the first 6 tests.
s/6 = 80
s = 80 × 6
s = 480
The sum of the scores of the first 6 tests is 480.
The next test is the 7th test.
Let x = score of the 7th test.
mean score of the first 7 tests = (s + x)/7
(s + x)/7 = 82
(480 + x)/7 = 82
480 + x = 574
x = 94
Answer: 94
How is 1.2×10−4 written in standard decimal notation?
In a track field competition, A discus has a radius of 11 centimeters. What is the circumference, I centimeters, of the discus?
Given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.
What is the circumference of the discus?Note that; a circumference is the perimeter of a circle or ellipse.
It is expressed as C = 2πr
Where r is the radius and π is the constant pi ( π = 3.14 )
Given that;
Radius of the discus r = 11cmCircumference C = ?C = 2πr
C = 2 × 3.14 × 11cm
C = 69.08cm
Therefore, given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.
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1., express the following properties in propositional logic:
(a) For every location that is a cliff, there is an
adjacent location to it that contains some
non null quantity of resource r3.
(b) For every location that contains some
non null quantity of resource r2,
there is exactly one adjacent location that is a hill
.
(c) Resource r1 can only appear in the corners of the
grid (the corners of the grid are the locations
(1, 1), (K, 1), (1, K), (K, K)).
(a) The proposition can be expressed as ∀x(Cliff(x) → ∃y(Adjacent(x, y) ∧ NonNull(y, r3))).
(b) The proposition can be expressed as ∀x(NonNull(x, r2) → (∃y(Adjacent(x, y) ∧ Hill(y)) ∧ ¬∃z(Adjacent(x, z) ∧ Hill(z) ∧ ¬(z = y)))).
(c) The proposition can be expressed as ∀x(Resource(x, r1) → (Corner(x) ∧ ¬∃y(Resource(y, r1) ∧ ¬(x = y) ∧ Adjacent(x, y)))).
(a) In propositional logic, we use quantifiers (∀ for "for every" and ∃ for "there exists") to express the properties. The proposition (a) states that for every location that is a cliff (Cliff(x)), there exists an adjacent location (Adjacent(x, y)) to it that contains some non-null quantity of resource r3 (NonNull(y, r3)).
(b) The proposition (b) states that for every location that contains some non-null quantity of resource r2 (NonNull(x, r2)), there is exactly one adjacent location (y) that is a hill (Hill(y)), and there are no other adjacent locations (z) that are hills (¬(z = y)).
(c) The proposition (c) states that resource r1 (Resource(x, r1)) can only appear in the corners of the grid (Corner(x)), and there are no other adjacent locations (y) that contain resource r1 (Resource(y, r1)).
By using logical connectives (∧ for "and," ∨ for "or," ¬ for "not"), quantifiers (∀ for "for every," ∃ for "there exists"), and predicate symbols (Cliff, NonNull, Resource, Hill, Corner), we can express these properties in propositional logic to represent the given statements accurately.
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A pretzel recipe calls for 3.325
cups of flour. If the recipe makes
9.5 pretzels, how many cups of
flour are need for each pretzel?
Answer: 0.35
Step-by-step explanation:
3.325 divided by 9.5 = 0.35
he variable x represents the number of long-sleeve shirts nancy bought and the variable y represents the number of short-sleeve shirts she bought. nancy bought 531 shirts for her business. she bought 2 times as many short-sleeve shirts as long-sleeve shirts. how many of each type of shirt did she buy? which system of equations models this problem?
Nancy bought 177 long-sleeve shirts and 354 short-sleeve shirts for her business. We can model this problem with the system of equations x + y = 531 and y = 2x.
Let x be the number of long-sleeve shirts that Nancy bought, and let y be the number of short-sleeve shirts that she bought. We know that she bought a total of 531 shirts, so we can write the equation:
x + y = 531
We also know that she bought twice as many short-sleeve shirts as long-sleeve shirts. Mathematically, this can be written as:
y = 2x
Substituting the second equation into the first equation, we get:
x + 2x = 531
Simplifying, we get:
3x = 531
Dividing both sides by 3, we get:
x = 177
Substituting x = 177 into y = 2x, we get:
y = 2(177) = 354
Therefore, Nancy bought 177 long-sleeve shirts and 354 short-sleeve shirts.
The system of equations that models this problem is:
x + y = 531 (equation 1)
y = 2x (equation 2)
Equation 1 represents the total number of shirts that Nancy bought, and equation 2 represents the fact that she bought twice as many short-sleeve shirts as long-sleeve shirts.
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Help me with this and I'll mark you as Brain
Answer:
a) x^3y2
b) 6x^2y^3
Step-by-step explanation:
because 3 x's and 2 y's are being multiplied.
For this explanation, I will be utilizing the hidden exponent of 1.You can put a hidden exponent of 1 to each variable without an exponent, and the value will remain the same.
Merely add the exponents of the values with the same base number, or coefficient. —> like terms
X^1 times X^1 times X^1 is X^3, and Y^1 times Y^1 is Y^2.
Our final answer is X^3 Y^2.
B is 6X^2 Y^3.Like the first expression, we can add a hidden exponent to each VARIABLE, not number.
2 times 3 is 6, and X^1 times X^1 is X^2, and Y^1 times Y^1 times Y^1 is Y^3.
Our final answer is 6X^2 Y^3.
find the jacobian of the transformation x=3u, y=2uv and sketch the region g: 3<3u<6, 2<2uv<4
It is a rectangular region with u and v values ranging from 1 to 2.
To find the Jacobian of the transformation x = 3u, y = 2uv, we need to compute the partial derivatives ∂x/∂u, ∂x/∂v, ∂y/∂u, and ∂y/∂v.
Given:
x = 3u
y = 2uv
Calculating the partial derivatives:
∂x/∂u = 3
∂x/∂v = 0 (since x does not depend on v)
∂y/∂u = 2v
∂y/∂v = 2u
Now, we can construct the Jacobian matrix J:
J = [∂x/∂u ∂x/∂v]
[∂y/∂u ∂y/∂v]
Substituting the partial derivatives we calculated earlier:
J = [3 0]
[2v 2u]
Therefore, the Jacobian of the transformation is:
J = [3 0]
[2v 2u]
To sketch the region described by the inequalities g: 3 < 3u < 6, 2 < 2uv < 4, we can consider the ranges of u and v that satisfy these conditions.
From the inequality 3 < 3u < 6, we have:
1 < u < 2
From the inequality 2 < 2uv < 4, we can divide both sides by 2:
1 < uv < 2
Since u and v must both be greater than 1, we can determine the range of v:
1 < v < 2
Now, we can sketch the region in the u-v plane bounded by the conditions:
1 < u < 2
1 < v < 2
It is a rectangular region with u and v values ranging from 1 to 2.
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What is the slope of the line that passes through the points (-5,2) and (-7,6)
Answer:
-2
Step-by-step explanation:
For which whole number value(s) of x greater than 0 is the value of x2 greater than the value of 2x ?
Answer:
Assuming x2 means x^2, it would be any number great than one.
(1)^2 = 1
2(1) = 2
1<2
(2)^2=4
2(2)=4
4=4
(3)^2=9
2(3)=6
9>6
calculate (2x10^5)(6x10^6)/3x10^4
Answer:
4e+15
Step-by-step explanation:
the guy above me is a troll pls report him to make brainly a better place thank you all i hope this answer helps
A Camaro travels 82.5
miles in one half
hour. How many miles
per hour does it
travel?
Answer:
165 miles per hour
Step-by-step explanation:
2 (half an hour) = one hour
so
2(82.5) = 165 mph
1. (30pt) Red ball, corner pocket A billiard ball has an initial velocity ü hits heads on with another ball, initially at rest. The first ball sets off at angle . Assume that both balls have the same mass and elastic collision (a) (15pt) Show that the angle that the second ball emerges after the collision can be written as: sin' ( = cos v (1) (b) (15pt) What are the velocities of the balls after the collision?
A. The angle that the second ball emerges after the collision can be written as sin' = cos v × (1 - cosθ).
B. The velocities of the balls after the collision are v₁ = u × cosθ - u × cos²θ - v₂ × cos(v) × (1 - cosθ)v₂ = u × sinθ + v₂ × sin(v) × (1 - cosθ)
How did we get the values?(a) To determine the angle at which the second ball emerges after the collision, we can use the principle of conservation of momentum and conservation of kinetic energy.
Let's consider the collision in the x and y directions separately.
In the x-direction:
The initial velocity of the first ball (before collision) is given by:
u₁x = u × cosθ
The initial velocity of the second ball (before collision) is zero:
u₂x = 0
After the collision, let v₁x and v₂x be the final velocities of the first and second balls in the x-direction, respectively.
By applying the conservation of momentum in the x-direction, we have:
m × u₁x + m × u₂x = m × v₁x + m × v₂x
m × u × cosθ = m × v₁x + m × v₂x ----(1)
In the y-direction:
The initial velocity of both balls (before collision) is zero:
u₁y = 0
u₂y = 0
After the collision, let v₁y and v₂y be the final velocities of the first and second balls in the y-direction, respectively.
By applying the conservation of momentum in the y-direction, we have:
m × u₁y + m × u₂y = m × v₁y + m × v₂y
0 = m × v₁y + m × v₂y ----(2)
Since the masses of the balls are the same (m = m), equation (2) simplifies to:
v₁y + v₂y = 0 ----(3)
Now, let's consider the conservation of kinetic energy in the collision.
The initial kinetic energy of the system is given by:
KE_initial = (1/2) × m × u₁² + (1/2) × m × u₂²
= (1/2) × m × u² × (cos²θ + sin²θ)
= (1/2) × m × u²
The final kinetic energy of the system is given by:
KE_final = (1/2) × m × v₁² + (1/2) × m × v₂²
By applying the conservation of kinetic energy, we have:
KE_initial = KE_final
(1/2) × m × u² = (1/2) × m × v₁² + (1/2) × m × v₂²
u² = v₁² + v₂² ----(4)
Now, let's substitute v₁x = v₁ × cosθ and v₂x = v₂ × cosφ into equation (1):
m × u × cosθ = m × v₁ × cosθ + m × v₂ × cosφ
Dividing both sides by m × cosθ:
u = v₁ + v₂ × (cosφ / cosθ) ----(5)
Dividing equation (5) by u:
1 = v₁/u + v₂/u × (cosφ / cosθ)
Since sin' = v₂/u and cos v = v₁/u, we can rewrite equation (5) as:
1 = sin' × (cosφ / cosθ) + cos v
Multiply both sides by cosθ:
cosθ = sin' × cosφ + cos v × cosθ
Rearranging the equation, we have:
sin' × cosφ = cosθ - cos v × cosθ
sin' × cosφ = cosθ × (1 - cos v)
sin' = cosθ × (1 - cos v) / cosφ
Since sin' = sin(90° - φ)
and cosφ = cos(90° - φ), we can simplify the equation to:
sin(90° - φ) = cosθ × (1 - cos v) / cos(90° - φ)
sin(90° - φ) = cosθ × (1 - cos v) / sinφ
Using the trigonometric identity sin(90° - φ) = cos φ, we get:
cos φ = cosθ × (1 - cos v) / sinφ
Finally, since cos φ = cos(180° - φ), we can write:
cos φ = cosθ × (1 - cos v)
Hence, we have shown that the angle that the second ball emerges after the collision can be written as: sin' = cos v × (1 - cosθ).
(b) To find the velocities of the balls after the collision, use the equations derived in part (a) along with the conservation of momentum equation (1).
From equation (1), we have:
m × u × cosθ = m × v₁x + m × v₂x
u × cosθ = v₁ + v₂ × cosφ ----(6)
From equation (5), we have:
1 = v₁/u + v₂/u × (cosφ / cosθ)
Rearranging equation (6), we get:
v₁ = u × cosθ - v₂ × cosφ
Substituting this into equation (5), we have:
1 = (u × cosθ - v₂ × cosφ)/u + v₂/u × (cosφ / cosθ)
Multiplying through by u and simplifying, we get:
u = u × cosθ - v₂ × cosφ + v₂ × (cosφ / cosθ)
Dividing through by u and rearranging, we get:
1 = cosθ - v₂ × (cosφ / u) + v₂ × (cosφ / (u × cosθ))
Multiplying through by u × cosθ, we get:
u × cosθ = cosθ × u × cosθ - v₂ × (cosφ × cosθ) + v₂ × cosφ
Simplifying, we have:
0 = u × cos²θ - v₂ × (cosφ × cosθ) + v₂ × cosφ
Dividing through by u, we get:
0 = cos²θ - v₂ × (cosφ × cosθ) / u + v₂ × cosφ / u
Rearranging, we get:
v₂ × (cosφ × cosθ) / u = cos²θ + v₂ × cosφ / u
Multiplying through by u, we get:
v₂ × (cosφ × cosθ) = u × cos²θ + v₂ × cosφ
Substituting this into equation (6), we have:
u × cosθ = v₁ + (u × cos²θ + v₂ × cosφ)
Rearranging, we get:
v₁ = u × cosθ - u × cos²θ - v₂ × cosφ
Now, substituting the values of sin' and cos φ from part (a), we have:
v₁ = u × cosθ - u × cos²θ - v₂ × cos(v) × (1 - cosθ)
Therefore, the velocities of the balls after the collision are:
v₁ = u × cosθ - u × cos²θ - v₂ × cos(v) × (1 - cosθ)
v₂ = u × sinθ + v₂ × sin(v) × (1 - cosθ)
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the value of the euro was $1.30 last week. during last week the euro depreciated by 5 percent. what is the value of the euro today?
If the value of the euro was $1.30 last week and during last week the euro depreciated by 5 percent, the value of the euro today is $1.235.
If the euro was worth $1.30 last week and depreciated by 5%, we can calculate the new value by multiplying the original value by (1 - depreciation rate).
Mathematically, the new value of the euro can be calculated as follows:
New Value = Original Value * (1 - Depreciation Rate)
New Value = $1.30 * (1 - 0.05)
New Value = $1.30 * 0.95
New Value = $1.235
Therefore, the value of the euro today is $1.235.
Depreciation is a term used to describe the decline in the value of a currency relative to another currency or to a basket of currencies. It can occur due to various reasons, such as changes in interest rates, inflation rates, political instability, or economic growth.
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simplify 11 root square 8
11) √8
Answer: 2.82842712 or 2\(\sqrt{2}\)
Step-by-step explanation:
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
If a city population of 10,000 experiences 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate?0.4%0.8%1.0%4.0%8.0%
The net annual percentage growth rate of the city population is 0.4%
To calculate the net annual percentage growth rate of a population, we can use the following formula:
Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%
Plugging in the given values, we get:
Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)
Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)
Net Annual Percentage Growth Rate =\(0.4%\)
The net annual percentage growth rate of the city population is 0.4%
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If a square has a side of length 3, then it’s area is 9. This square has a side of length 3, so it’s area is 9. Is it valid or invalid?
Answer:
Yes it is valid
Step-by-step explanation:
A square is a geometric shape which is also known as a Quadrilateral. This means that it has 4 sides.
For a square, it's 4 sides are equal to one another or we can put it in other words as the length of the 4 sides of a square are congruent to one another.
From the above question, we are asked that:
"If a square has a side length of 3, it's area is 9. Is it valid or invalid?"
The above statement is valid. This is because, the formula for the Area of a Square is given as
L × L = L²
Where L = Side length = 3
Area = 3 × 3 = 3²
Area = 9
Therefore, the statement is valid.
Danielle is playing a game. She had 10 points, lost 20 points, then gained 45 points. What is her total score?
Answer:
35
Step-by-step explanation:
10-20=-10
-10+45=+ 35
Answer:35
Step-by-step explanation:10-20=-10+45=35
2(12.25) + 5 + 2L = 62.5
what is L
explain your answer
Answer:
24.5+5+2L=62.5
29.5+2L=62.5
31.5 L=62.5
L=62.5-31.5
L=31Ans
RP.1.3 At Bright Futures Middle School, 576 students ride their bike
to school. If this number is 75% of the school enrollment,
then how many students are enrolled?
Answer:
768
Step-by-step explanation:
multiply both sides of the equation by 100/75 100/75 will cancel out 75/100Solve for x: 1 x > 7
B: 4 x > 1
D: −2 < x < 1
Answer:
what is the topic?
Step-by-step explanation:
just want to give you the right answer
Solve the given initial value problem. dx dt dy = 3x+y - e²¹; -= 2x+2y; The solution is x(t) = 7 t e x(0) = 2 y(0) = -4 e and y(t) = -=-=ª+² e 14 e 4t 2t
The solution of the initial value problem is -1/3 y - e³ᵗ + 2e³ᵗ + (1/3 y)e³ᵗ
To solve the given initial value problem dx/dt = 3x + y - e²ᵗ with the initial condition x(0) = 2, we can use the method of integrating factors. First, let's rearrange the equation to isolate the term involving x,
dx/dt - 3x = y - e²ᵗ
The integrating factor is given by e^(∫(-3)dt) = e³ᵗ
Now, multiply both sides of the equation by the integrating factor,
e³ᵗdx/dt - 3e³ᵗx = (y - e²ᵗ)e³ᵗ
Next, we can rewrite the left side of the equation using the product rule for differentiation,
d/dt(e³ᵗx) = (y - e²ᵗ)e³ᵗ
Integrating both sides with respect to t, we have,
∫d/dt(e³ᵗx) dt = ∫(y - e²ᵗ)e³ᵗ dt
Integrating the left side gives e³ᵗx, and integrating the right side requires integrating by parts for the term e²ᵗe³ᵗ,
e³ᵗx = ∫(y - e²ᵗ)e³ᵗ dt = ∫ye³ᵗ dt - ∫e^(-t) dt
Simplifying the integrals, we have,
e³ᵗx = -1/3 ye³ᵗ - eᵗ + C
Now, substitute the initial condition x(0) = 2, t = 0, and solve for the constant C,
2 = -1/3 y - 1 + C
C = 3 - 2 + 1/3 y = 2 + 1/3 y
Finally, substitute the value of C back into the equation,
e³ᵗx = -1/3 ye³ᵗ - eᵗ + (2 + 1/3 y)
Simplifying further, we obtain the solution for x(t),
x = -1/3 y - e³ᵗ + 2e³ᵗ + (1/3 y)e³ᵗ
Therefore, the solution to the initial value problem dx/dt = 3x + y - e²ᵗ, x(0) = 2 is x = -1/3 y - e³ᵗ + 2e³ᵗ + (1/3 y)e³ᵗ
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Compete question - Solve the given initial value problem. dx/dt = 3x+y - e²ᵗ; x(0) = 2.
Considering that the number of victims by femicide shows an approximately linear behavior (use the segment 2012 to 2014), it establishes the mathematical model that expresses said behavior.
Knowing that the number of victims by femicide shows an approximately linear behavior, a mathematical model can be obtained through the following equation:
y - y₀ = [(y₁ - y₀) / (x₁ - x₀)]·(x - x₀)
¿How to find a mathematical model associated with the number of victims by femicide?Considering that the behavior is linear, a mathematical model can be obtained from the following equality that allows us to find the equation of a straight line:
y - y₀ = [(y₁ - y₀) / (x₁ - x₀)]·(x - x₀)
Where P(x₀, y₀) and Q(x₁, y₁) are points that belong to the line, that is, they belong to linear behavior.
¡Hope this helped!
Peter watches 345 more American movies than Chinese movies. the ratio of Chinese movies to American movies is 4:7 . how many American movies does Peter watch?
Peter watches 805 American movies and 460 Chinese movies.
Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.
Since he watches 345 more American movies than Chinese movies. Hence:
x = y + 345
x - y = 345 (1)
Also:
x + y = z
x + y - z = 0 (2)
The ratio of Chinese movies to American movies is 4:7. Hence:
(4/11)z = y
-y + (4/11)z = 0 (3)
Solving equations 1, 2, and 3, simultaneously gives:
x = 805, y = 460 and z = 1265
Hence, Peter watches 805 American movies and 460 Chinese movies.
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Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?
9514 1404 393
Answer:
9.23%
Step-by-step explanation:
The account balance for simple interest is given by ...
A = P(1 +rt) . . . . . principal P invested for t years at rate r
554 = 379(1 +r·5)
554 = 379 + 1895r . . . . eliminate parentheses
175 = 1895r . . . . . . . . . subtract 379
r = 175/1895 ≈ 0.092348 ≈ 9.23%
Jennifer's account had an interest rate of about 9.23%.
what does equal to?? x/y · y =
Answer:
=x
Step-by-step explanation:
x/y·y
=xy/y
=x
Hope this helps
PLS BRAINLIEST
A cable TV company charges a flat fee of $25 for basic cable service, plus
extra for each movie a customer watches. Here is some of the pricing
information:
Movies watched 0 1 2 3
Cable TV bill ($) 25 29 33 37
According to this information, how many movies can a customer watch and
still keep his or her bill under $60?
Answer:
8
Step-by-step explanation:
Each movie costs $4 since the bill increased by $4 when the customer watched a movie.
$29 - $25 = $4
Create an equality using this information. Solve for x.
25 + 4x > 60
(25 + 4x) - 25 > (60) - 25
4x > 35
(4x)/4 > (35)/4
x > 8.75
Since the bill must stay under $60, round the answer down. The customer can watch 8 movies with the given price range.
what expressions are equivalent to 5+(-3)(6x-5)
Answer:
Hi!
Step-by-step explanation:
-5 (x-3) + 3(4 - x) + 2x
Let's distribute the -5 within its parentheses.
A negative multiplied by a negative number has a positive result.
Let's distribute the 3 within its parentheses.
-5x+15+12-3x+2x
Combine like terms...
-5x-3x+2x=-6x
15+12=27
-6x+27
Both numbers are divisible by 3...
3(-2x+9)
or -3...
-3(2x-9)
Which arcs are congruent? Check all that apply. Arc B C ≅ Arc M P Arc B C ≅ Arc M O Arc C F ≅ Arc K P Arc E G ≅ Arc K L Arc L O ≅ Arc M P
Answer:
Step-by-step explanation:
The arcs that are congruent are:
Arc B C ≅ Arc M P. Arc E G ≅ Arc K L. Arc L O ≅ Arc M P.What congruent angles in math?
Two geometric figures can be described as congruent if on can be superpose on the other.
Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.
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