Which rigid motion verifies the triangles are congruent by sas?.
The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.
To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.
The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.
The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.
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y = -x + 3
2y + 2x = 4
Answer: y = 4
Step-by-step explanation:
What is the slope of the line that passes
through the points (8, 2) and (10, 2)?
Write your answer in simplest form.
Answer:
Submit Answer
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attempt 1 out of a
Answer:
slope = 0
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (8, 2 ) and (x₂, y₂ ) = (10, 2 )
m = \(\frac{2-2}{10-8}\) = \(\frac{0}{2}\) = 0
3. Determine the length of , given by x in the figure. Give your answer to two decimal places.You may use the Desmos scientific calculator:
Solve thi ytem of linear eqarion. Separate the x-and t-hirt value with a comma
2x=96-14y
9x=40-14y
The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.
Isolating x,
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
Therefore substituting value of x on equation 2,
9(2y) = 40 - 14y
18y = 40 - 14y
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y = 5/4
Therefore , x = 10/4 = 5/2
as because x =2y.
An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y
These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as because we can balance it by subtracting the right-hand side expression from the expressions on both sides.
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point p moves along a circle that is inscribed inside a square. point q stays fixed at the bottom-left corner of the square. explore this situation in the applet below by dragging the point p along the circle.
Moving along a circle that is encircled by a square is point p. The bottom-left corner of the square is fixed at point q. Drag the point p around the circle in the applet below to investigate this issue.
As Point P moves from A to \($B \rightarrow$\)
(d) Distance, increases then decreases.
As point P moves from B to \($C \rightarrow$\)
(a) Distance Decreases
As point P moves from C to \($D \rightarrow$\)
(b) Distance tier eases then increases.
a As Point P moves from D to\($A \rightarrow$\)
(c) Distance increases.
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Given m/n
find the value of x.
106°
470
Answer:
x = 106
Step-by-step explanation:
The angle with a measure of 106 degrees and the angle labeled "x" are opposite exterior angles
Opposite exterior angles are congruent
Hence, x = 106
Please help me. I been stuck for over an hour
Answer:
Step-by-step explanation:
P(a|b)= this mean the probability that a happens given that you already know b has occurred.
So for this P(work|senior) is the probability you will pick someone who works give you know they work. So you look for the over lap between seniors and work in the table and divide it by the number of seniors.
In this case:
P(Work | senior)= 5/(25+5+5) = 5/35 = 1/7
Answer:
14
Step-by-step explanation:
Assessment Analytics
Math
Recommendations
G.16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems KR7
Skill plans
Learn with an example ✓ or Watch a video >
Last week, Becky spent 1 1/2 hours watching television. Monica watched television for 1/2 as
many hours as Becky did. How many hours did Monica spend watching television?
Write your answer as a fraction or as a whole or mixed number.
Number of hours spent by Monica on TV is 45 minutes , the time spent by Becky is in mixed fraction.
What is mixed fraction?
A mixed fraction is one that has each its quotient and remainder delineated.
Main Body:
Number of hours spent by Becky on TV = 1 1/2 hours
This is a mixed fraction.
Converting into decimal form,
1 1/2 can be written as 1.5 hours
Converting hours into minutes ,
⇒1.5 * 60 = 90 minutes
Time spent by Monica = (1/2)* Becky's time
⇒Time spent by Monica = (1/2)*90
⇒ 45 minutes
Hence time spent by Monica is 45 minutes.
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Label the angle that is 90º in this 2-dimensional figure.
answers:
A. acute
B. right
C. obtuse
Answer:
B. right-----------------
The 90° angle is:
∠G or ∠FGH, as it is marked by a small squareIt is also called a right angle.
Therefore the matching choice is B.
help!! -4x=36 and pls show the work! thank youu
Answer:
x=-9
Step-by-step explanation:
x=36/-4=-9
Answer:
-9
Step-by-step explanation:
-4x=36
36/-4=-9
x = -9
-4(-9)=36
5. The density of lead is 11.3 g/
mL. What would be the volume of a 200.Og sample of this metal?
Answer: 17.69.Og
Step-by-step explanation: 200/11.3=17.69
when finding volume you're doing the mass/density meaning divide
finding the mass you'll multiply mass and density, finding the density you'll divide mass and volume
Square of the difference of two terms
Answer:
123-23=100
100^2=100*100=10^4=10000
7. Suppose that in the backup web-server problem that we discussed in class, the main server is more reliable than the backup server-the probability that the main server fails is 1% while the probability that the backup server fails is 5%. As in class, assume that the two servers fail independently.
With this modification, find the chance that:
a) Both servers fail.
b) Exactly one of the servers fails.
c) At least one of the servers fails.
d) Do you think the assumption that the two servers fail independently is realistic?
What would make it more realistic? What would make it less realistic?
a) The chance that both servers fail is 0.05% (or 0.0005). b) The chance that exactly one of the servers fails is 5.9%. c) The chance that at least one of the servers fails is 5.95%. d) The assumption that the two servers fail independently may not be entirely realistic in all scenarios.
To find the probabilities in this scenario, we can use the probabilities of the main server and backup server failing, assuming they fail independently.
Let's denote:
P(M) = Probability of the main server failing = 0.01 (1%)
P(B) = Probability of the backup server failing = 0.05 (5%)
a) To find the chance that both servers fail, we need to calculate the probability of the intersection (AND) of the events:
P(both servers fail) = P(M) * P(B) = 0.01 * 0.05 = 0.0005 (0.05%)
b) To find the chance that exactly one of the servers fails, we can calculate the probability of the union (OR) of the mutually exclusive events:
P(exactly one server fails) = P(M) * (1 - P(B)) + (1 - P(M)) * P(B)
= 0.01 * (1 - 0.05) + (1 - 0.01) * 0.05
= 0.01 * 0.95 + 0.99 * 0.05
= 0.0095 + 0.0495
= 0.059 (5.9%)
c) To find the chance that at least one of the servers fails, we can calculate the probability of the complement (NOT) of both servers being operational:
P(at least one server fails) = 1 - P(both servers work)
= 1 - (1 - P(M)) * (1 - P(B))
= 1 - (1 - 0.01) * (1 - 0.05)
= 1 - 0.99 * 0.95
= 1 - 0.9405
= 0.0595 (5.95%)
d) The assumption that the two servers fail independently might not be entirely realistic in all scenarios. Factors such as shared infrastructure, common vulnerabilities, or external factors can introduce dependencies between the failure probabilities of the servers. If there are dependencies or shared factors that could cause correlated failures, the assumption of independence becomes less realistic.
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Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs
Answer:
137 chairs
Step-by-step explanation:
6*24=144.
144-7=137.
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I need help with these two, can someone pls help me
I need this ASAP
no links pls
If there were 23 cats, 15 snakes, and 8 dogs, how many legs would there be in all?
124
step by step explanation4×23 =92(for cats)
4×8=32(for dogs)
then 92+32=124
Solve the following linear system of equations by Cramer's rule method;
2x+4y+2z=16
−2x−3y+z=−5
2x+2y−3z=−3
Rearrange as the form of Ax=B
Find the inverse of the coefficient matrix (A⁻¹); and
Solve the system of equations
The solution of the given linear system of equations is x = 2, y = 1 and z = 2.
Given that the linear system of equations is
2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3
To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:
A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]
To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:
|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12
The determinant is non-zero, hence A is invertible
A⁻¹ = 1/|A| [adj A]
where adj A is the transpose of the cofactor matrix [C] of A:
adj A = [C]T
So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:
C = [5, 2, 6; 2, -2, 2; -4, -4, -4]
Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]
To solve the system of equations, we have x = A⁻¹B as below:
x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]
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Use the dice lattice shown below to answer the question that follows.
When Martha rolled the dice 36 times, she got a sum of 8 seven times. Explain why Martha's
experimental probability is different than a theoretical probability.
Answer:
Theoretical probability is what is expected and experimental probability is the answer.
Step-by-step explanation:
Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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WILL GIVE BRAINLIEST what is the rate of change of y=0.860x+3.302 if x=25?
So, basically:
Y=Length of foot
X= Length of your forearm.
This is simple. Your equation is Y=0.860x + 3.302
So, if you have a forearm (x) that is 17 inches long, then plug in x as 17. This leaves you to evaluate for Y.
New equation: Y=0.860(17) +3.302
Work it out, you get: Y=14.62 + 3.302
Work that out, you get: Y= 17.922 inches long.
And of course, Y is the foot.
So, your answer: If the forearm is 17 inches long, then the foot is 17.922 inches long. Simple.
So, part 2:
Rate of change. Well, you need slope then, because that's the same thing.
Y=mx+b, Where m=slope
Your answer turns to be 0.860 inches per length of arm, for rate of change.
Skipping the data, as that's only something you'd know.
Yes, it is indeed a function. There can't be any exponents greater than 1 on the placeholder, and it's obviously not a straight line if you plug it in
Answer:
y=24.802
Step-by-step explanation:
evaluate the following expression for x=8
a. 82
b.178
c.854
d. 188
Answer:
178
Step-by-step explanation:
SORRY IF ITS WRONG IM BAD AT MATH :(
A cube has the width of 6 cm.What is the volume ofcthe cube?
Step-by-step explanation:
Yᴏᴜʀ ᴀɴsᴡᴇʀ ɪs ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ...
Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ
Answer:
216
Step-by-step explanation:
l x h x w\
or
length times height times width
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
Sidewalk = 100ft by 4ft
Brick = 8 inches by 4 inches
Required
Determine the minimum number of bricks
First, we need to determine the area of both;
\(Sidewalk = 100ft * 4ft\)
\(Sidewalk = 400ft^2\)
\(Brick = 8in * 4in\)
\(Brick = 32in^2\)
Number of bricks is calculated as follows;
\(Number = \frac{Sidewalk}{Brick}\)
\(Number = \frac{400ft^2}{32in^2}\)
Convert ft^2 to in^2
\(Number = \frac{400 * 144in^2}{32in^2}\)
\(Number = \frac{57600in^2}{32in^2}\)
\(Number = 1800\)
The GCF of two whole numbers is the ________. A smallest whole number that divides evenly into both numbers B largest whole number that divides evenly into both numbers C smallest whole number that both numbers divide into evenly D largest whole number that both numbers divide into evenly
Answer:
Largest whole number that divides evenly into both numbers.
Step-by-step explanation:
GCF is greatest common factor. It is also known as LCM of lowest common multiple.
It is the set of whole numbers that divides evenly into all numbers with zero remainder.
For example, three numbers are 8,12 and 20.
The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 20 are: 1, 2, 4, 5, 10, 20
The GCF of these three numbers is 4. 4 divides evenly into all numbers.
Hence, the correct option is (B).
Answer:
A and E
Step-by-step explanation:
hope yall have a great day!
Plz help ASAP WILL MARK YOU BRAINLIST IF UR ANSWER IS CORRECT Question #3
Answer: D
Step-by-step explanation:
A is a function because all quadratics are functions because it shows the graph of a parabola.
B is also a function because it is a quadratic equation
C is a function because it is a linear function
D which I don't know about doesn't looks like it represent a function.
A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground. If the cable forms a 60
°
angle with the ground, how high up the pole should the cable be attached?
A.
20
√
3
meters
B.
10 meters
C.
20
√
2
meters
D.
10
√
3
meters
Answer:
Cable attached height (Perpendicular) = 10√3 m
Step-by-step explanation:
Given:
Length of cable (Hypotenuse) = 20 m
Angle θ = 60°
Find:
Cable attached height (Perpendicular)
Computation:
Perpendicular/Hypotenuse = Sinθ
Perpendicular/20 = Sin 60
Perpendicular/20 = √3 / 2
Perpendicular = 10√3
Cable attached height (Perpendicular) = 10√3 m
Answer:
D
Step-by-step explanation:
Find the value of x in each case. PLEASE HELP
Answer:
x = 23
Step-by-step explanation:
∠ ABE = ∠ BEF = 4x ( alternate angles )
Since DBF is a straight line then the 3 angles sum to 180°, that is
x + 4x + 65 = 180
5x + 65 = 180 ( subtract 65 from both sides )
5x = 115 ( divide both sides by 5 )
x = 23
From the set {22, 14, 12}, use substitution to determine which value of x makes the equation true. 2x = 24
Answer:
x = 12
Step-by-step explanation:
{22, 14, 12}
2x = 24
2(22) = 44
2(14) = 28
2(12) = 24