To determine if ΔGHI ≅ ΔJKL by SAS (Side-Angle-Side), we need to compare the corresponding sides and angles of the two triangles.
Given the coordinates of the vertices: G (-3, 1)H (-1, 1)I (-2, 3)J (3, 3)K (?)
To apply the SAS congruence, we need to ensure that the corresponding sides and angles satisfy the conditions.
The steps that could help Hannah determine if ΔGHI ≅ ΔJKL by SAS are:
Calculate the lengths of segments HI and KL to confirm if they are congruent. Distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Measure the distance between points H and I: d(HI) = √[(-1 - (-3))² + (1 - 1)²] = √[2² + 0²] = √4 = 2
Measure the distance between points J and K to see if it is also 2.
Check if ∠G ≅ ∠K (angle congruence).
Measure the angle at vertex G and the angle at vertex K to determine if they are congruent.
Check if ∠L ≅ ∠H (angle congruence).
Measure the triangles at vertex L and the angle at vertex H to determine if they are congruent.
By comparing the lengths of the corresponding sides and measuring the corresponding sides, Hannah can determine if ΔGHI ≅ ΔJKL by SAS.
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-5 + n/2 = -7 what does it equal?
n = -4 because youre finding the n
Answer:
n = -9
Step-by-step explanation:
Multiply 2 by both sides to cancel out the fraction which will leave -5 + n = -14. Lastly add 5 on both sides which the final answer would be n = -9.
I think of a number i halve it then subtract four
Answer:
x/2-4
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
this question is not very detailed but I think ik what u mean. take a number, 8 for example. halve it, (divide by 2) and then subtract 4 & u are left with 0
A scuba diver descends (goes down) to a location that is −10 m from sea level. He then descends (goes down) another -12 m. What is the scuba diver’s final location relative to sea level
Answer:
-22 m
Step-by-step explanation:
Show the calculating process by the restoring-division
algorithm for the following division case:
Divisor 00011
Dividend 1011
The quotient is 1111. The process continues until the result is less than the divisor.
To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:
Step 1: Initialize the dividend and divisor
Divisor: 00011
Dividend: 1011
Step 2: Append zeros to the dividend
Divisor: 00011
Dividend: 101100
Step 3: Determine the initial guess for the quotient
Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.
Step 4: Subtract the divisor from the dividend
101100 - 00011 = 101001
Step 5: Determine the next quotient bit
Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
Step 6: Subtract the divisor from the result
101001 - 00011 = 100110
Step 7: Repeat steps 5 and 6 until the result is less than the divisor
Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100110 - 00011 = 100011
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100011 - 00011 = 100001
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100001 - 00011 = 011111
Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.
011111 - 00000 = 011111
Step 8: Remove the extra zeros from the result
Result: 1111
Therefore, the quotient is 1111.
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what's the number before 277000
The number is 276999
what is the mean for the following five numbers? 223, 264, 216, 218, 229
The mean of the five numbers 223, 264, 216, 218, and 229 is 230.
To calculate the mean, follow these steps:
1. Add the numbers together: 223 + 264 + 216 + 218 + 229 = 1150
2. Divide the sum by the total number of values: 1150 / 5 = 230
The mean represents the average value of the dataset. In this case, the mean value of the five numbers provided is 230, which gives you a central value that helps to understand the general behavior of the dataset. Calculating the mean is a bused in statistics to summarize data and identify trends or patterns within a set of values.
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What number can be added to the right side of the equation to change it to a function with one real zero
Answer:
+3
Step-by-step explanation:
Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.
please help quickly!
Which system of inequalities is shown in the graph?
Answer:
c y<2x-2
y<x2-3x I did this last year and I remembered it and got into my notes and found it
The system of inequalities shown in the graph is y ≤ 2x -2 and y ≤ x² -3x so, option C is correct.
What is inequality?Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal
Given:
The graph of the inequality is shown,
As you can see from the graph, the x² -3x is representing and the line is representing by the 2x - 2,
Find the zeroes of the equation x² -3x and 2x - 2 as shown below,
x² -3x = 0
x = 0, x = 3
2x - 2 = 0
x = 1
As you can see, if the zeroes are positive, then the inequality will be y ≤ 2x -2 and y ≤ x² -3x.
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PLEASE HELP I HAVE 5 MINUTES HELP!!!!
Maddie's grades on her last 4 tests were 85%, 74%, 94%, 80%. What does she need to get on her fifth test to have a test average of at least 85%?
INEQUALITY:
SOLUTION:
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
(__,__ )
Answer:
If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Actually... It's from web
what is the slope of the line passing through the points.
Answer:
\(m=\frac{7}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (0, -5)
Point (4, 2)
Step 2: Find slope m
Substitute: \(m=\frac{2+5}{4-0}\)Add/Subtract: \(m=\frac{7}{4}\)Question :-
What is the slope of the line passing through the points (0, -5) and (4, 2)?Answer :-
The slope of the line passing through the given points is \(\dfrac{7}{4}\).\( \rule{180pt}{4pt}\)
Solution :-
As per provided information in the given question, we have been given that:
\(\sf{(x_1, \: y_1) = (0, \: -5)}\)\(\sf{(x_2, \: y_2) = (4, \: 2)}\)To calculate the slope, we will use the formula below :-
\( \qquad \sf\bigstar \: \: \: \: \boxed{ \sf{ \: \: \: m = \dfrac{y_2 - y_1}{x_2 - x_1} \: \: \: }}\)
So, by substituting the given values into the above formula:
\(\qquad \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{2 - (-5)}{4 - 0} = \pink{\dfrac{7}{4}}}\)
Therefore :-
The slope of the line passing through the given points is \(\dfrac{7}{4}\).\( \\ \)
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Have a great day! <33
Paula is planning a dinner dance. She wants to keep the ticket price as low as possible.
Band A: charges $600 to play for the evening
Band B: Charges $350 plus $1.25 per student
After how many students would it be better to hire Band A?
Answer:
After 200 students, it would better to hire Band A
Step-by-step explanation:
350+ 1.25x = 600
1.25x = 250
x = 200
at 200 students the cost is the same for Band A and Band B
at 201 students Band A will be cheaper then Band B
a
Lucy has a coin collection. She keeps 3 of the coins in her box, which is 25% of the
collection. How many total coins are in her collection?
Multiply/scale up to solve.
coins
3
25
100
percent
Answer:
3x4=12
12 coins in her collection
Step-by-step explanation:
25x4=100%
what is 6920 divided by 4
ANSWER
ITS ANSWER IS 1730
Answer:
1730
Step-by-step explanation:
Check out the image below!
HELP ME PLEASE!!!!ITS DUE TODAY!!
Answer:
Step-by-step explanation:
I need help with this please
1. What is the percent as a decimal? 73% *
O
0.73
7.3
0.0073
Ο Ο
730
Answer:
0.73
Step-by-step explanation:
Answer:
0.73 correct me if I'm wrong
in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC. Show that BF = CE
BF=CE in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given E and F are mid point of equal sides AB and AC of triangle ABC
In ΔABF and ΔACE
AB=AC (given )
∠A=∠A (common angle )
The side FA is equal to EA
If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent
∴ΔABF≅ΔACE (SAS rule)
∴BF=CF ( Corresponding parts of Congruent triangles.)
Hence, in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC then BF=CE.
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Cronbach's alpha indicates to what extent scale items are correlated to each other?
True
False
False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.
It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.
Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.
Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.
While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.
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Flux/Surface integral
Given is the vectorfield: v(x, y, z) = (yz, −xz, x² + y²)
And given is the a conical frustum K := (x, y, z) = R³ : x² + y² < z², 1 < ≈ < 2
Calculate the flux from top to bottom (through the bottom) of the cone shell B := (x, y, z) = R³ : x² + y² ≤ 1, z=1
Thank you
The flux from top to bottom (through the bottom) of the cone shell B := (x, y, z) = R³ : x² + y² ≤ 1, z = 1 is u.
Given vectorfield: v(x, y, z) = (yz, −xz, x² + y²)
Conical frustum K := (x, y, z) = R³ : x² + y² < z², 1 < ≈ < 2
We need to calculate the flux from top to bottom (through the bottom) of the cone shell B :
= (x, y, z) = R³ : x² + y² ≤ 1, z = 1.
A cone shell can be expressed as given below;`x^2 + y^2 = r^2 , 1 <= z <= 2, 0 <= r <= z.
`Given that the vector field is;`v(x, y, z) = (yz, −xz, x² + y²)`We can calculate flux through surface integral as follows;
∫∫F.ds = ∫∫F.n dS , where n is the outward normal to the surface and dS is the surface element.
We need to calculate the flux through the closed surface. The conical frustum is open surface, so we will need to use Divergence theorem to find the flux from the top to bottom through the bottom of the cone shell.
In Divergence theorem, the flux through a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface i.e.
,\(\iiint_D\nabla . F dV = \iint_S F. NdS\).
In this problem, Divergence theorem can be given as;\(\iint_S F. NdS = \iiint_D\nabla . F dV\)
We can write the vector field divergence \(\nabla . F as;\nabla . F = \frac{{\partial }}{{\partial x}}\left( {yz} \right) - \frac{{\partial }}{{\partial y}}\left( {xz} \right) + \frac{{\partial }}{{\partial z}}\left( {{x^2} + {y^2}} \right)\nabla\). F = y - x.
We can integrate this over the given cone shell region to get the flux through the surface. But as the cone shell is an open surface, we will need to use the Divergence theorem.
Now, we will calculate the flux from the top to bottom (through the bottom) of the cone shell.\(= \iiint_D {\nabla . F dV} = \int\limits_1^2 {\int\limits_0^{2\pi } {\int\limits_1^z {\left( {y - x} \right)dzd\theta dr} } }This can be calculated as; = \int\limits_1^2 {\int\limits_0^{2\pi } {\left( {\frac{1}{2}{z^2} - \frac{1}{2}} \right)d\theta dz} }\)
This gives us the flux as;
\(= \int\limits_1^2 {\int\limits_0^{2\pi } {\left( {\frac{1}{2}{z^2} - \frac{1}{2}} \right)d\theta dz} } = \pi\left[ {\frac{7}{3} - \frac{1}{3}} \right] = \frac{{6\pi }}{3} = 2\pi\)
Therefore, the flux from top to bottom (through the bottom) of the cone shell B := (x, y, z) = R³ : x² + y² ≤ 1, z = 1 is 2π.
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to complete a task in 16 days a company needs
Answer: depends on the task.
Step-by-step explanation: If it is one where it is for an important person, make anyone available do it. If it's very complicated, get your smartest person do it. Not very complicated, ask for anyone who is up for the job.
x equals 4y minus 2 help
What is the value of the expression 1 2 3 4 5?
The value of the given and completed expression in this problem is
-1
What are combined operations?Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.
In this case we have an arithmetic polynomial.
We complete the expression as follows:
1 + 2 - 3 + 4 - 5
We group the positive terms on one side and negative terms on the other:
(1 + 2 + 4) - (3 + 5)7 - (8)-1The value of the expression (1 + 2 - 3 + 4 - 5) is -1
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A store sells 4 T-shirts for $38.04. What is the unit cost per T-shirt?
Answer:9.51
38.04/4 = 9.51
Have a good day :)
Answer:
9.51
Step-by-step explanation:
What is the exponent of x in in the expression -4x^3y^2 + 6
Answer:
3
Step-by-step explanation:
- 4x³y² + 6
the x is raised to the power of 3 , that is exponent of x is 3
GEOMETRY Express the volume of each solid as a monomial. a. 9h6b. 9h8c. 27h6d. 27h8
The volume of a rectangular prism of width W, length L, and Height H is calculated as:
\(V=W\cdot L\cdot H\)The solid in the figure is a cube (W = L = H) with a side length of
\(W=L=H=3h^2\)Calculating the volume:
\(\begin{gathered} V=3h^2\cdot3h^2\cdot3h^2 \\ V=27h^6 \end{gathered}\)Choice c.
Compare: 8.2 x 10^4 O 4.6 x 10^5 A.>B.
To determine which of the numbers is larger, we need to make sure that the value of the exponents of both numbers is the same.
The second number can be rewritten as follows:
\(4.6\times10^5=4.6\times10\times10^4=46\times10^4\)Since both exponents are the same, we can compare the numbers. Thus, we have:
\(8.2<46\)Therefore, the numbers have the following comparison:
\(8.2\times10^4<4.6\times10^5\)OPTION B is correct.
A store is having a sale where everything is discounted 30% off. If a customer buys an item that sells for $365. What is the discounted price a customer would pay
0.30 * $365 = 109.50
$365 - $109.50 = $255.50
So $255.50 is our discounted price that the customer would pay.
identify the center and the radius of a circle that has a diameter with endpoints at (5, 8) and (7, 6).
The center of the circle is (6,7) and the radius of the circle is 1.414 units
The diameter with endpoints = (5, 8) and (7, 6)
The mid point of the diameter = The center of the circle
The center of the circle = \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
Substitute the values in the equation
The center of the circle = ( (5+7)/2 , (6+8)/2 )
= (12/2 , 14/2)
= (6, 7)
The radius of the circle = The distance between (6, 7) and (7, 6)
The distance between two points = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The distance between (6, 7) and (7, 6) = \(\sqrt{(7-6)^2+(6-7)^2}\)
= \(\sqrt{1^2+(-1)^2}\)
= \(\sqrt{1+1}\)
= \(\sqrt{2}\)
= 1.414 units
Hence, the center of the circle is (6,7) and the radius of the circle is 1.414 units
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what is equivalent to 5 x a
1. 5a
2. a^5
3. a x a x a x a x a
4. 5^a
Answer:
5a
Step-by-step explanation:
\(5\cdot \:a\\\\\)
5 multiply a
5a