According to the diagram below TSU = KLM by HA we know that T = K because they are both right angles which of the following theorems can also show congruence NEED HELP ASAP!!
Answers
Answer:
The triangles are congruent as per AAS congruence.
Step-by-step explanation:
AAS congruence states that when two triangles are congruent when their two angles are equal and the side not contained between those angles is also equal.
Let us have a look at the given triangles \(\triangle TSU\) and \(\triangle KLM.\)
It is given that they are right angled triangles and following dimensions are also equal:
1. \(\angle T = \angle K = 90^\circ\)
2. \(\angle M = \angle U\)
3. The side not between the angles i.e. the hypotenuse SU = LM
So, the two triangles \(\triangle TSU\) and \(\triangle KLM.\) are congruent as per AAS congruence.
i.e. \(\triangle TSU\) \(\cong\) \(\triangle KLM.\) as per AAS congruence.
Answer:
C AAS
Step-by-step explanation:
Related Questions
Verify the basic identity. What is the domain of validity?cot theta = cos theta csc thetasee image
Answers
Solution
Given the function below
\(cot\theta=\cos\theta csc\theta\)Where
\(csc\theta=\frac{1}{\sin\theta}\)\(\begin{gathered} cot\theta=\cos\theta csc\theta \\ cot\theta=\cos\theta\times\frac{1}{\sin} \\ cot\theta=\frac{\cos\theta}{\sin\theta} \end{gathered}\)Also recall that the contangent formula is
\(cot\theta=\frac{\cos\theta}{\sin\theta}\)Thus;
\(\begin{gathered} cot\theta=\cos\theta csc\theta \\ \frac{\cos\theta}{\sin\theta}=\frac{\cos\theta}{\sin\theta} \end{gathered}\)From the above deduction,
sinθ is the denominator,
Hence, the domain of validity is defined for the set of real numbers except for sinθ = 0
a nurse is preparing to administer furosemide 4 mg/kg/day po divided into 2 equal doses daily to a toddler who weighs 22 lb. how many mg should the nurse administer per dose? (fill in the blank with the numeric value only, round the answer to the nearest whole number, and use a leading zero if applicable. do not use a trailing zero.)
Answers
The nurse should administer 19.958 mg of furosemide per dose to the toddler.
To use the unitary method, we need to convert the toddler's weight from pounds to kilograms, as the dose is given in mg/kg/day.
1 lb = 0.45359237 kg (conversion factor)
Therefore, the toddler's weight in kilograms is
22 lb x 0.45359237 kg/lb = 9.979 kg (rounded to three decimal places)
Now we can calculate the total daily dose of furosemide for the toddler
4 mg/kg/day x 9.979 kg = 39.916 mg/day (rounded to three decimal places)
Since the dose is divided into 2 equal doses daily, each dose would be half of the total daily dose
39.916 mg/day ÷ 2 = 19.958 mg/dose (rounded to three decimal places)
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A password consists of 3 digits (0 - 9) followed by two letters (a-z or A-Z; note: 26 letters in the alphabet). i) How many different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive (so 123AB is the same as 123aB)? ii) How many different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive? (s0 123AB is different from 123aB)? b) A 4-student committee is to be randomly selected from a pool of 5 Biology Majors, 10 Math Majors and 5 Music Majors. 1) What is the probability that all 4 randomly selected students were Math Majors? (State your answer as a reduced fraction OR a decimal rounded to 3 places) ii) Suppose now that the 4 student committee needs to have exactly two math majors. How many different pairs of math majors could be chosen.
Answers
a. i. There are 27,040,000 different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive (so 123AB is the same as 123aB)
ii. There will be 99,532,800 different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive
b. i. The probability that all 4 randomly selected students were math majors is 0.520
ii. There are 4,725 different pairs of math majors that could be chosen for the committee.
a. i) There are 10 choices for each of the first 3 digits, and 26 choices for each of the last 2 letters. Since the password is not case sensitive, we can choose either uppercase or lowercase letters, so there are 26 + 26 = 52 choices in total for each letter. Therefore, the total number of different passwords is:
10 x 10 x 10 x 52 x 52 = 27,040,000
ii) There are 10 choices for the first digit, 9 choices for the second digit (since we can't repeat the first digit), 8 choices for the third digit (since we can't repeat the first two digits), and 52 choices for the first letter. For the second letter, there are 51 choices left (since we can't repeat the first letter), but we need to distinguish between uppercase and lowercase letters, so there are 52 x 51 = 2,652 choices for the two letters in total. Therefore, the total number of different passwords is:
10 x 9 x 8 x 52 x 2,652 = 99,532,800
b) i) The total number of ways to select a 4-student committee from 20 students is:
20 choose 4 = 4,845
The number of ways to select a committee consisting of 4 math majors is:
10 choose 4 = 2,520
Therefore, the probability that all 4 randomly selected students were math majors is:
2,520 / 4,845 = 0.520
ii) The number of ways to select a 4-student committee with exactly two math majors is:
(10 choose 2) x (10 choose 2) x (15 choose 0) = 4,725
(We choose 2 math majors from 10, and 2 non-math majors from 15, since there are 5 biology majors and 5 music majors to choose from.)
Therefore, there are 4,725 different pairs of math majors that could be chosen for the committee.
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What type of move takes Figure A to Figure B?*
Answers
Answer: Rotation
Step-by-step explanation:
From the figure , we can observe that both figure A and b are absolutely congruent.
To translate a figure to make congruent images , we use rigid motions (Translation, Reflection, Rotation)
It is Rotation because of we move Figure A 180 degrees clockwise about the fixed point O, we will get Figure B .
It cannot be reflection because both figures are not mirror images.
It cannot be translation because all points on Figure A is not moving , as point O remained at same position throughout this which is not possible in translation.
what is the volume in cubic inches of a pyramid with a square base if the primeter of the base is 60 inches and the height is 20 inches
Answers
V = (1/3)(225)(20) = 1500 cubic inches. The volume of a pyramid with a square base can be calculated using the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
To find the area of the base, we need to first find the length of one side of the square base by dividing the perimeter (60 inches) by 4, which gives us 15 inches. Then, we can find the area of the base by squaring this length, which gives us 225 square inches. Plugging in the values of B = 225 and h = 20 into the formula, we get V = (1/3)(225)(20) = 1500 cubic inches.
we used the formula for the volume of a pyramid with a square base, which is V = (1/3)Bh. We then found the area of the base by finding the length of one side of the square base (perimeter divided by 4) and squaring it. Finally, we plugged in the values of the base area and height into the formula to get the volume in cubic inches.
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Select the equivalent expression. (2^-10/4^2)^7
Answers
The equivalent expression for the given expression is 1/2⁹⁸.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is (2⁻¹⁰/4²)⁷.
Now, (2⁻¹⁰/(2²)²)⁷
= (2⁻¹⁰/2⁴)⁷
= (1/2¹⁰×2⁴)⁷
= (1/2¹⁰⁺⁴)⁷
= (1/2¹⁴)⁷
= 1/2⁹⁸
Therefore, the equivalent expression for the given expression is 1/2⁹⁸.
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Deandre's dog ate 8 cans of dog food this week. Each can contained 47.6 grams of protein. How much protein was this in all
Answers
Answer:
Step-by-step explanation:
380.8 grams
Answer:
Step-by-step explanation:
380.8
which formula defines the sequence f(1)=2, f(2)=4, f(3)=8, f(4)=16, f(5)=32
please help !!
Answers
Ans: The formula that defines the sequence is Tn = 4n - 2
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Let f= {(5,5),(8,-8),(-8,5)}. Find (a) f(5) and (b) f(-8).
Answers
The given function f(x) is
\(f(x)=\lbrace(5,5),(8,-8),(-8,5)\rbrace\)We need to find
a) f(5)
It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = 5
Look at the function
At x = 5, y = 5 (1st orderd pair), then
f(5) = 5
b) f(-8)
It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = -8
Look at the function
At x = -8, y = 5, (last ordered pair), then
f(-8) = 5
If you place a 28-foot ladder against the top of a 22-foot building, how many feet will
the bottom of the ladder be from the bottom of the building?
Answers
28-22 = 6. Subtract them.
A shape is equiangular with a total of 16 sides. How many degrees would just one of the interior angles have
Answers
Answer:
Step-by-step explanation:
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two events are not independent if: group of answer choices one event does not affect the probability of another event we can count the possible outcomes the sum of their probabilities is greater than 1 one event affects the likelihood of another event
Answers
Two events are not independent if d) one event affects the likelihood of another event. This means that the occurrence of one event changes the probability of the other event happening.
For example, if flipping a coin, the probability of getting heads is 0.5, but if we know that the coin is weighted towards tails, the probability of getting heads will decrease, this means that the coin flip and the weight of the coin are not independent events because the weight of the coin affects the likelihood of getting heads.
In general, if the occurrence of one event changes the probability of another event, then the two events are not independent.
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find the value of x in the equation 3(2x-4)-5(x-2)=1
Answers
Answer:
x=3
Step-by-step explanation:
3(2x−4)−5(x−2)=1
Step 1: Simplify both sides of the equation.
3(2x−4)−5(x−2)=1
(3)(2x)+(3)(−4)+(−5)(x)+(−5)(−2)=1(Distribute)
6x+−12+−5x+10=1
(6x+−5x)+(−12+10)=1(Combine Like Terms)
x+−2=1
x−2=1
Step 2: Add 2 to both sides.
x−2+2=1+2
x=3
Use the distributive property to write an equivalent expression
10(6h-3k+6)
What the answer of this???
Answers
Answer:
heres the answer 60ℎ−30+60
Step-by-step explanation:
the hypotenuse of a right triangle is 29, and the legs are consecutive numbers, what is the sum of the legs
Answers
The sides are 20 and 21 in right triangle.
What defines a right triangle?
The term "right triangle" refers to a triangle with an interior angle of 90 degrees.
The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.
29² = x² + (x+1)²
x²+ x² +2x +1 = 841
2x² +2x -840 =0
x² + x -420 =0
(x+21)(x-20)=0
x=20
the sides are 20 and 21
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What is substitution Short answer?
Answers
Substitution is the name of the process in algebra which is used for swapping an algebraic letter for its value.
The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from one of the equations is substituted in the other equation.
In substitution the following steps are used to solve an equation by substitution method:
Step 1. Simplify the given equation by removing the parenthesis.
Step 2. Solve one of the equations for any unknown value.
Step 3. Substitute step 2 result in the other equation.
Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.
Step 5. Finally, solve the final equation for the second variable.
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Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Answers
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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helppppp brainlist plsss
Answers
Answer:
5
0
5
10
Step-by-step explanation:
Since the question is asking the absolute value of h, the only number that changes is -5 to 5.
Step-by-step explanation:
The blanks on the R are just the absolute values of the numbers on the L
x f(x)
-5 5
0 0
5 5
10 10 that's it
You decide to invest in a period annuity that offers 4.5% APR compounded
monthly for 20 years. How much money will you need to invest if your desired
yearly income is $42,000?
OA. $553,229.03
B. $450,000.00
C. $420,000.00
D. $568,793.79
Answers
Answer: To calculate the amount of money you would need to invest in a period annuity that offers 4.5% APR compounded monthly for 20 years to receive an annual income of $42,000, you can use the following formula:
PV = A * [(1 - (1+r)^(-n)) / r]
where:
PV = present value (amount of money you need to invest)
A = annual income ($42,000 in this case)
r = interest rate per period (4.5% APR compounded monthly, or 0.045/12 = 0.00375 per month)
n = total number of periods (20 years x 12 months per year = 240 months)
Plugging in the numbers, we get:
PV = $42,000 * [(1 - (1+0.00375)^(-240)) / 0.00375]
PV = $553,229.03
Therefore, the answer is (A) $553,229.03.
Step-by-step explanation:
Help please I’ll mark brainliest
Answers
The logarithm rules and the matching equation is as follows
equation logarithm rule
\(log_{3}(\frac{(x-4)}{(x-1)})\) quotient rule
\(log_{2}x(x+2})\) product rule
\(log(x+2)^{3} x^{3}\) product rule and power rule
\(log_{3}(x-4)-log_{3}(x+4)\) quotient rule
3 log (x + 2) - 3 log (x) product rule and power rule
What are the laws of logarithm?The laws of logarithm are generally rules that describes how problems involving logarithm is being solved
The quotient rule refers to when there is a division, the rul when applied changes division to subtraction.
The power rule takes care if exponents and places the number in the exponents to be just before the log sign
The product rule is used to deal with duplication, it changes multiplication to addition
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-10x – 2y = -30
3x + 2y = 9
X=
Answers
Answer: x = 3
Step-by-step explanation:
-10x - 2y = -30
3x + 2y =9
use elimination method...
-2y and 2y = 0
-10x = - 30
3x = 9
add together...
-7x = -21
solve...
x= 3
could you guys give me some advice if i feel like a failure, and what to do in this situation?
Answers
Answer:
Don't feel so .
Every failure is a step to Sucess .
20 ways to remain motivated after you fail :
1. Take time to heal emotionally
2. Remind yourself that there is no success without failure
3. Learn from your mistakes ❌✔
4. Create a positive mindset
5. Find the opportunity to grow
6. Do not dwell on your mistakes accept them
7. Choose to be happy
8. Use your mistakes to master your art
9. Continue pressing forward
10. Think about what to do next
11. Remember that you are not the only one who failed
12. Write down a list of your successes ✍
13. Think back on your past failures
14. Get inspired
15. Focus on your other goals
16. Visualise your sucess
17. Remember that staying a failure is a choice
18. Surround yourself with positive people
19. Take a step back
20. Get yourself organised
Describe and correct the error a student made when writing the quadratic function f(x)=2(x+3)^2-4 in standard form
The student did not
A. Compute 9-4 correctly
B. Compute (x+3)^2 correctly
C. Distribute 2 to all necessary terms
The function in standard form is f(x)=
Answers
Answer:
y = 2x^2 + 12x + 14
Step-by-step explanation:
Write this equation in standard form. Start by performing the exponentiation:
y = 2(x^2 + 6x + 9) - 4
Perform the indicated multiplication:
y = 2x^2 + 12x + 18 - 4, or
y = 2x^2 + 12x + 14: This is the quadratic function in standard form.
The value of the quadratic function in standard form is,
⇒ f (x) = 2x² + 12x + 14
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The function is,
⇒ f (x) = 2 (x + 3)² - 4
Now, We get;
The value of the quadratic function in standard form is,
⇒ f (x) = 2 (x + 3)² - 4
⇒ f (x) = 2 (x² + 9 + 6x) - 4
⇒ f (x) = 2x² + 18 + 12x - 4
⇒ f (x) = 2x² + 12x + 14
Thus, The value of the quadratic function in standard form is,
⇒ f (x) = 2x² + 12x + 14
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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1.7. Use the rule n+1 ×2 to write the number of tiles if the figure number is n and (n-1).
Answers
Answer:
Step-by-step explanation:
Based on the calculations, the sequence defined by the given function are 0.75, 1.1, 1.45, 1.80 and 2.15.
How to create the terms of the sequence?
In this exercise, you're required to create the first five (5) terms of the sequence defined by the given function as follows:
For the first term, we have:
f(1) = 0.75
For the second term, we have:
f(2) = f(2-1) + 0.35
f(2) = 0.75 + 0.35
f(2) = 1.1.
For the third term, we have:
f(3) = f(3-1) + 0.35
f(3) = 1.1 + 0.35
f(3) = 1.45.
For the fourth term, we have:
f(4) = f(3-1) + 0.35
f(4) = 1.45 + 0.35
f(4) = 1.80.
For the fifth term, we have:
f(5) = f(3-1) + 0.35
f(5) = 1.80 + 0.35
f(5) = 2.15.
Therefore, the sequence defined by the given function are 0.75, 1.1, 1.45, 1.80 and 2.15.
Given the demand function P = -QD2–2QD+ 64, and the supply function P = QS2–2QS+ 14.
a/Assuming pure competition, find the consumer’s surplus and the producer’s surplus;
b/ Explain the meaning of the values of the surpluses as found in a question/
Answers
The positive value of producer surplus indicates that the producers are willing to sell the good at the given price of $26, and they are making $16 from the sale of the good.
a) The given demand function and supply function are:
P = -QD2 – 2QD + 64 and P = QS2 – 2QS + 14 respectively. When assuming pure competition, the equilibrium price can be found by equating the demand function and supply function to each other. Equating,
-QD2 – 2QD + 64 = QS2 – 2QS + 14.
QD2 + 2QD + QS2 – 2QS = 50.
QD2 + 2QD + QS2 – 2QS – 50 = 0.
Now we can solve for equilibrium quantity:
QS2 + QD2 = 50 – 2(QD – QS)
2.QS2 + QD2 = 50.
Now solving further, QS = 4 and QD = 6.
Now, substituting these equilibrium values into the demand function and supply function, we can calculate the equilibrium price:
P = -QD2 – 2QD + 64 = -6(6) – 2(6) + 64 = 26.P = QS2 – 2QS + 14 = 4(4) – 2(4) + 14 = 18.
As a result, consumer surplus is:
CS = 1/2 (6-26) (6) = $-60
Producer surplus is:
PS = 1/2 (26-18) (4) = $16
b) Consumer surplus is defined as the benefit received by the consumers from purchasing a good at a price lower than what they are willing to pay. It measures the difference between the actual price paid by the consumers and the maximum price they are willing to pay for a good. In this case, the negative value of consumer surplus indicates that the consumers are not willing to pay the given price of $26. They are losing $60 to purchase the good.Producer surplus is the difference between the price at which a producer sells a good and the minimum price that the producer is willing to accept for the good. In this case, the positive value of producer surplus indicates that the producers are willing to sell the good at the given price of $26, and they are making $16 from the sale of the good.
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Help please! I've got 173 questions wrong
Answers
Answer:
i believe the answer is b
Help Please Now!!!
Find the volume of the rectangle prism
Answers
Answer:
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
In the figure below, quadrilateral PQRV and quadrilateral RSTU are divided into two congruent halves by line PT, and PQ RQ and RS TS.
Note: picture not drawn to scale
If m
A.
126°
B.
72°
C.
54°
D.
108°
Answers
The baxter boys can prepare newspapers for delivery on a rainy morning at a rate of 35 in 3 minutes. how long will it take them to the nearest minute to prepare 131 papers?
Answers
To determine how long it will take the Baxter boys to prepare 131 papers, we can use the concept of rate and proportion.
It will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers. Given that the Baxter boys can prepare 35 papers in 3 minutes, we can set up a proportion to solve for the time it will take to prepare 131 papers.
First, let's set up the proportion using the information given about the rate of working:
35 papers / 3 minutes = 131 papers / x minutes
To solve for x, we can cross-multiply and then divide:
35 * x = 3 * 131
35x = 393
x = 393 / 35
x ≈ 11.229
Therefore, it will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers.
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