which posture or theorem proves that these two triangles are congruent
ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate
Answers
Answer:
AAS Congruence Theorem
Related Questions
Please help me I will give brainlyiest or how ever u spell it
Answers
Answer:
2
Step-by-step explanation:
the answer is 2
15 points given to whoever answers
The table represents a linear function.
What is the slope of the function?
–3
–2
3
4
Answers
Answer:
The slope of the function is 3
Step-by-step explanation:
To find the slope
Find the change of y over change of x or (Y²-Y¹)/ (X²- X¹) Pick two points on the table for demonstration purposes (1,7) and (2,10) Apply the formula to the points If you can divide your fraction to the simplest form the slope is three*This method works for any other two other points and the work is in the attachment above*
what is the dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share?
A. $4.00
B. $3.33
C. $5.00
D. $3.60
Answers
The dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share is $4.00. The correct option is a.
The dividend on a preferred stock can be calculated using the formula: Dividend = Preferred Stock Price × Preferred Stock Dividend Rate. In this case, the preferred stock price is $45, and the preferred stock dividend rate is 8 percent. To calculate the dividend, we multiply $45 by 8 percent (0.08): $45 × 0.08 = $3.60.
However, it's important to note that preferred stock dividends are typically calculated based on the face value of the stock rather than the market price. The face value represents the original value of the stock and is often $100 or $50 per share. In this case, the face value is $50 per share. To adjust for the face value, we divide the calculated dividend by the market price and multiply it by the face value: ($3.60 ÷ $45) × $50 = $4.00. Therefore, the dividend on an 8 percent preferred stock that currently sells for $45 and has a face value of $50 per share is $4.00. The correct answer is A. $4.00.
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A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless. Which of the following findings should the nurse identify as indicating a therapeutic response? (Select all that apply.)
A. the shoulders droop
B. the facial muscles relax
C. the RR increases
D. the pulse is within the expected range
E. the client draws his legs into a fetal position
Answers
A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.
The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.
In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.
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A store buys a dining table from the manufacturer for $600 less 20%. 15%, and 8%. In order to sell the table, they must price it to cover expensas ol 30% ol
the regular selling price and a profit of 10% of the selling price. For a sales promotion, the table was marked down 30 of the regular seling price: Calcula
a) the regular selling price:
b) the sale price =
c) the profit or loss when the set was on sale =
Answers
The regular selling price of the dining table is $482.35. The table was marked down to a sale price of $337.65, resulting in a loss of $33.30 for the store during the sale.
A store buys a dining table from the manufacturer for $600 less 20%, 15%, and 8%. In order to sell the table, they must price it to cover expenses of 30% of the regular selling price and a profit of 10% of the selling price. For a sales promotion, the table was marked down 30 of the regular selling price.
The calculations to determine the regular selling price, the sale price, and the profit or loss when the set was on sale are as follows:
a) Regular selling price
The store buys the table from the manufacturer for $600 less 20%, 15%, and 8%, therefore:
Regular price before discount = $600 - 20%($600) - 15%($600 - $120) - 8%($510)
Regular price before discount = $600 - $120 - $68.25 - $40.8
Regular price before discount = $370.95
The store adds 30% of the regular selling price to cover expenses and 10% of the selling price as a profit. Therefore, the regular selling price is:
Regular selling price = $370.95 + 30%($370.95) + 10%($412.04)
Regular selling price = $482.35
Therefore, the regular selling price is $482.35.
b) Sale price
The table was marked down 30% of the regular selling price, therefore:
Sale price = $482.35 - 30%($482.35)
Sale price = $337.65
Therefore, the sale price is $337.65.
c) Profit or loss when the set was on sale
Profit is calculated by finding the difference between the sale price and the cost. The cost is $600 less 20%, 15%, and 8% which is:
$600 - 20%($600) - 15%($600 - $120) - 8%($510)
Cost = $600 - $120 - $68.25 - $40.8
Cost = $370.95
Profit = Sale price - Cost
Profit = $337.65 - $370.95
Profit = -$33.30
Therefore, the store has a loss of $33.30 when the set was on sale.
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13. find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere of radius 6 cm.
Answers
The radius and height of the right circular cylinder of greatest volume that can be inscribed in a sphere of radius 6 cm are 6.93cm and 4.9cm respectively.
A right circular cylinder is a three-dimensional solid figure. It is a cylinder with a closed circular surface and two parallel bases at each ends. It is sometimes referred to as the right cylinder.
The surface area and volume of the correct cylinder are its most important properties.
The volume of the cylinder is πr∧2h, where r and h are the radius and height of the cylinder.
We have,
R=6cm , r=? ,h =?
r∧2 + h∧2 = R∧2
∴V=\(\pi \\\)(R²-\(\frac{h^{2}}{4}\))h
\(\frac{dV}{dh} =\pi\)(\(R^{2} - \frac{h^2}{4}-2\frac{h^2}{4}\))
⇒\(R^{2} = 3h^{2} /4\)
⇒h=\(\frac{2R}{\sqrt{3} }\)
and;
r=R\(\frac{\sqrt{2} }{\sqrt{3} }\)
Putting value of R=6 cm
we get,
h=6.93 cm
r = 4.9cm
The radius and height of the right circular cylinder of greatest volume that can be inscribed in a sphere of radius 6 cm are 6.93cm and 4.9cm respectively.
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When we are computing a simple linear regression line, there are certain conditions that must be met for this model to be valid. One of these conditions is the equal spread condition. Which of these answers best explains how we check to make sure that this condition is met? a. Make sure there is similar spread around the sample mean of x. b. Make sure there is similar spread around the line at each value of x.
c. Make sure that there is similar spread around the sample mean of y. d. Make sure all outliers are only below the line.
Answers
The answers that best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.
How we check to make sure that this condition is met?The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.
To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.
Therefore the correct option is C.
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¿Una pizza familiar o dos medianas?
* Cada pizza familiar tiene 30 cm de diámetro
* La pizza familiar tiene tan solo un diámetro de 46 cm
1. ¿Qué escoges?
2. ¿Por qué?
3. Por favor has la conclusión de tus hechos
Answers
1. A person should choose one family pizza.
2. The area of two medium pizza < area of 1 large pizza.
3. The area of two medium pizza is 1413.8 square cm and the area of one large pizza is 1661.9 square cm.
What is area?
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
I would one family pizza.
I would choose one family because the total area of two medium pizzas is less than the area of a family pizza.
This means that the two medium pizzas will have less pizza to share between the same number of people, so everyone will get a smaller slice of pizza.
To calculate the areas of the pizzas, we need to use the formula for the area of a circle -
Area of a circle = π × (radius)²
For the family pizza with a diameter of 46 cm, the radius is 23 cm. Therefore, the area of the family pizza is -
Area of family pizza = π × (23 cm)² ≈ 1661.9 square cm
For two medium pizzas with a diameter of 30 cm, the radius is 15 cm. Therefore, the area of each medium pizza is -
Area of each medium pizza = π × (15 cm)² ≈ 706.9 square cm
The total area of two medium pizzas is -
Total area of two medium pizzas = 2 × (Area of each medium pizza) ≈ 1413.8 square cm
Since the total area of two medium pizzas is less than the area of the family pizza, it means that two medium pizzas have less pizza to share between the same number of people.
Therefore, choosing one family pizza would be a better option.
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A family pizza or two medium?
* Each medium pizza is 30 cm in diameter
* The family pizza has only a diameter of 46 cm
1. What do you choose?
2. Why?
3. Please conclude your facts
Jude types 840 characters in 5 minutes. What is her typing rate in characters per minute?
Answers
——- = 168 words per minute
5
Find the outward flux of the vector field F = (x – y)i + (y – x)j across the square bounded by x = 0, x = 1, y = 0, y = 1. (Use the outward pointing normal). (a) Find the outward flux across the side x = = 0,0 < y < 1: M
Answers
The outward flux of the given vector field F across the square bounded by x = 0, x = 1, y = 0, y = 1 is 0.
To find the outward flux across the side x=0, we need to integrate the dot product of the vector field F and the outward pointing normal vector n on this side, over the range of values of y from 0 to 1.
The outward pointing normal vector n on the side x=0 is -i. Thus, the dot product of F and n is (x-y)(-1) = (y-x). So, the outward flux across this side is given by the integral of (y-x)dy from y=0 to y=1, which evaluates to 1/2.
However, since the outward flux across the other three sides is also 1/2, but in the opposite direction, the net outward flux across the entire square is 0.
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true/false : within plus and minus two standard deviations of the mean, the area under any normal curve is about 68%
Answers
Answer:
False
Step-by-step explanation:
68% falls between the first standard deviation from the mean.
plus minus two would fall under 95%
Gabrielle buys the Cantaloupes for 7$. How many could Shayna buy if she has 21$. 49$.
Answers
Answer:
She can buy 3 cantaloupsssss pls mark brainlest its right
Step-by-step explanation:
help please i need to answer it
Answers
Answer: 4ft/s
Step-by-step explanation:
I think
2 + 6 = 8
8 / 2 = 4
A triangle has vertices at B(-3,0), C(2, -1), D(-1, 2). Which transformation would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1)? (x,y) → (X, -y). (x,y) → (X + 1, y + 1) (x,y) → (-x, y). (x,y) → (X + 1, y + 1) (x,y) → (X. -Y). (x,y) → (X + 2, Y + 2) (x,y) → (-x, y). (x,y) → (X + 2, Y + 2)
Answers
The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).
By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).
The other transformations listed do not match the given image coordinates and would not produce the desired result.
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Answer:
(x, y) → (x, −y) → (x + 1, y + 1)
Step-by-step explanation:
Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):
B'(-3, 0) → B'(-3, 0)
C(2, -1) → C(2, 1)
D(-1, 2) → D(-1, -2)
Translate the reflected vertices by (1, 1):
B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)
C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)
D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)
So, the correct sequence of transformations is:
(x, y) → (x, -y) → (x + 1, y + 1)
(Image provided for more proof)
Does anyone know this?
Answers
Answer:
The answer is "c"
Step-by-step explanation:
Write log3(X)+2log(y) into a single logarithm
Answers
The simplified expression of the logarithm is log3(Xy²).
The expression given to you is log3(X) + 2log(y). To simplify this expression, you need to use the properties of logarithms. One of the properties of logarithms states that the sum of the logarithms of two numbers is equal to the logarithm of their product. Another property of logarithms states that the logarithm of a number raised to a power is equal to the product of the exponent and the logarithm of the number.
Using these properties, you can rewrite the expression as follows:
log3(X) + 2log(y) = log3(X) + log(y²) (since 2log(y) = log(y²))
Now, using the property that the sum of the logarithms of two numbers is equal to the logarithm of their product, you can further simplify the expression:
log3(X) + log(y²) = log3(Xy²)
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The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters
apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters
from the last hurdle to the finish line, how long is the race? Show your work.
Answers
Answer:The race is 111.6
Step-by-step explanation:The race is 111.6 m long.
8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1
Add to this the distance to the first hurdle and the distance from the last hurdle:
86.1+15+10.5 = 111.6 m
Step-by-step explanation:
Answer:
If I am incorrect, please let me know.
Step-by-step explanation:
This is the work I did.
Please mark me brainliest :)
How do you round decimals on a calculator?
Answers
Rounding decimals on a calculator is a useful skill for solving math problems that involve estimation. Rounding involves reducing the precision of a number to a specified number of decimal places.
To round a decimal on a calculator, follow these steps:
Enter the decimal you want to round on your calculator.
Find the decimal place to which you want to round.
If the next decimal place to the right of the specified decimal place is less than 5, keep the digits in the specified decimal place and all the decimal places to its left unchanged.
For example,
if you want to round the decimal 2.746 to the nearest hundredth, you would look at the third decimal place, which is 4. Since 4 is less than 5, you would round down and keep the number 2.74.
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through: (1,-1), parallel to y = -3
Answers
Answer:
The equation of a line parallel to the line and passing through (1, -1) is:
\(y=-3x+2\)Step-by-step explanation:
Given the line
y = -3
We know that the slope-intercept form of the line equation is
\(y=mx+b\)
where m is the slope and b is the y-intercept
Thus, the slope of the equation y=-3 will be m = -3
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line will also be -3.
Thus, using the point-slope form to find the line equation is
\(y-y_1=m\left(x-x_1\right)\)
substituting the values m = -3 and the point (1, -1)
y-(-1) = -3(x-1)
y+1 = -3x+3
y=-3x+3-1
y=-3x+2
Thus, the equation of a line parallel to line and passing through (1, -1) is:
\(y=-3x+2\)Define Linear Pair.
Choose one of the answer choices
Answers
Answer:
A pair of opposite angles formed by two intersecting lines (option C)
Step-by-step explanation:
√2+√2 =
A. 3√2 or B. 2√2
Which one?
Answers
Answer:
B
Step-by-step explanation:
Can i plz have brainliest :)
Question - Write an equivalent expression for -3.1 ^ 4 x * -3.1 ^ 2 x + 7
Does anyone have an expert verified answer for this?
Answers
The expression -3.1^4x * -3.1^2x + 7 has an equivalent of 887.503681x^2 + 7
How to determine the equivalent expressionFrom the question, the expression is given as
-3.1^4x * -3.1^2x + 7
Evaluate the exponents in the above expression
So, we have the following equation
-3.1^4x * -3.1^2x + 7 = 92.3521x * 9.61x + 7
Evaluate the products in the above expression
So, we have the following equation
-3.1^4x * -3.1^2x + 7 = 887.503681x^2 + 7
Hence, the equivalent expression of -3.1^4x * -3.1^2x + 7 is 887.503681x^2 + 7
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The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person’s ears is 6 inches. What is the ratio of a person’s chin to forehead distance compared to the distance between his ears?
Answers
The distance from the chin to the forehead is 1.5 times the distance between the ears.
The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.
Calculation:-
We can express the given information as:9/6
9/6 = 1.5.
Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.
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Find the tangential and normal components of the acceleration vector.
r(t) = 8t i + cos^2(t) j + sin^2(t) k
aT = aN = (Answer is not 1 and 0)
Answers
We cannot determine the values of a_T and a_N unless we specify a point along the curve to evaluate the acceleration vector.
To find the tangential and normal components of the acceleration vector, we can use the formulas derived from vector calculus.
According to Theorem 12.5.2 [2], the tangential component of acceleration a_T can be calculated as a_T = a · T', where a is the acceleration vector, and T' is the unit tangent vector. Similarly, the normal component of acceleration a_N can be calculated as a_N = ||a × T'||, where || || denotes the magnitude of the cross product of a and T'. Given r(t) = 8t i + cos^2(t) j + sin^2(t) k, we can obtain the acceleration vector a by taking the second derivative of r(t). Evaluating a at a given point along the curve will yield the values of a_T and a_N.
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Find the coordinates of the midpoint of a segment with the endpoints (-5, 1) and (2, 6).
Answers
Answer:
(-1.5,3.5)
Step-by-step explanation:
a deck of playing cards contains 52 cards, four of which are aces. what is the probability that the deal of a five-card hand provides a pair of aces?
Answers
The probability that the deal of a five-card hand provides a pair of aces is 0.0399
In this question, we have been given a deck of playing cards contains 52 cards, four of which are aces.
We need to find the probability that the deal of a five-card hand provides a pair of aces.
The sample space for given experiment is: choosing 52 cars choosing 5.
n(S) = 52C_5
We need to find the chance of getting a pair of aces, there are 4 aces in the pack on 2 of them.
So, n(A) = 4C_2
So that means there are 48 cards left which are not aces in the pack and want 2 of those.
So, the required probability is:
P(A) = (4C_2 * 48C_3) / 52C_5
P(A) = (6 * 17296) /2598960
P(A) = 103776 / 2598960
P(A) = 0.0399
Therefore, the required probability is 0.0399
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Cartesian product - true or false
Indicate which of the following statements are true.
(d)
For any two sets, A and B, if A ⊆ B, then A2 ⊆ B2.
(e)
For any three sets, A, B, and C, if A ⊆ B, then A × C ⊆ B × C.
Roster notation for sets defined using set builder notation and the Cartesian product.
Express the following sets using the roster method.
(a)
{0x: x ∈ {0, 1}^2}
(b)
{0, 1}0 ∪ {0, 1}1 ∪ {0, 1}^2
(c)
{0x: x ∈ B}, where B = {0, 1}^0 ∪ {0, 1}^1 ∪ {0, 1}^2.
(d)
{xy: where x ∈ {0} ∪ {0}^2 and y ∈ {1} ∪ {1}^2}
Answers
(a) True. The set {0x: x ∈ {0, 1}^2} can be expressed as {(0, 0), (0, 1), (1, 0), (1, 1)}, which is the Cartesian product of {0, 1} with itself.
(b) False. {0, 1}0 ∪ {0, 1}1 ∪ {0, 1}^2 can be expressed as {00, 01, 10, 11} ∪ {0, 1} ∪ {(0, 0), (0, 1), (1, 0), (1, 1)}, which is not the Cartesian product of sets.
(c) True. The set {0x: x ∈ B}, where B = {0, 1}^0 ∪ {0, 1}^1 ∪ {0, 1}^2, can be expressed as {0^0, 0^1, 1^0, 1^1, 0^00, 0^01, 0^10, 0^11, 1^00, 1^01, 1^10, 1^11}, where ^ represents concatenation.
(d) True. The set {xy: where x ∈ {0} ∪ {0}^2 and y ∈ {1} ∪ {1}^2} can be expressed as {01, 011, 001, 0001}, which is the Cartesian product of {0} with {1, 11, 1, 0001}.
In summary, statements (a) and (d) are true, while statement (b) is false. Statement (c) is true, given the definition of B.
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Find a linear function f, given f(6) = - 4 and f(-3) = - 10. Then find f(0).
f(x)=0
(Type an expression using x as the variable. Simplify your answer.)
f(0) = (Simplify your answer.)
PLZ HELP
Answers
Answer:
\(y = \frac{2}{3} x - 8\)
f(0)=-8
Step-by-step explanation:
Slope=rise/run=(-4-(-10))/(6-(-3))=6/9=2/3=m
y=m*x+q
-4=(2/3)*(6)+q
q=-8
f(0)=(2/3)*(0)-8=-8
Is 5:20 and 15:60 equivalent
Answers
Answer:
Yes! When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.
Step-by-step explanation:
Hope this helps <3
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