Which postulate or theorem proves that these two triangles are congruent?
A. ASA Congruence Postulate
B. AAS Congruence Theorem
C. HL Congruence Theorem
D. SAS Congruence Postulate
Answers
Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
Answer:
B: AAS Congruence Theorem
Related Questions
\(x {}^{4} + x {}^{2} y {}^{2} +y {}^{4} \)
resolve the factors
Answers
Hope you could understand.
If you have any query, feel free to ask.
![[tex]x {}^{4} + x {}^{2} y {}^{2} +y {}^{4} [/tex]resolve the factors](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/CK2yFoYdZB0AZ1CazxNtNoa1rgUQlCBo.jpeg)
A snowboard has a cost of $79.10, expenses of $22.85, and profit of $18.00. 15 marks a. What is the regular unit selling price? b. What is the markup amount? c. What is the markup on cost percentage?
Answers
The regular unit selling price is $119.95, the markup amount is $40.85, and the markup on cost percentage is 51.6%.
The regular unit selling price can be determined as follows:
Selling price = Cost price + Markup price
Selling price = $79.10 + $18.00 + $22.85
Selling price = $119.95
b. The markup amount can be calculated as follows:
Markup amount = Selling price - Cost price
Markup amount = $119.95 - $79.10
Markup amount = $40.85
c. The markup on cost percentage can be calculated as follows:
Markup on cost percentage = (Markup amount / Cost price) × 100
Markup on cost percentage = ($40.85 / $79.10) × 100
Markup on cost percentage = 51.6%
To summarize, we have found the regular unit selling price, markup amount, and markup on cost percentage of a snowboard. The regular unit selling price is $119.95, the markup amount is $40.85, and the markup on cost percentage is 51.6%.
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true or false? multiplying the parent linear function by -7/3 results in a reflection in the x-axis and a vertical stretch
Answers
ANSWER:
True
STEP-BY-STEP EXPLANATION:
When the function is multiplied by - there is a reflection in the x-axis.
If the number is greater than one there is a vertical stretch but if it is between 0 and 1 there is a vertical compression.
7/3 is a number greater than one, so there is vertical stretch.
Which means that the statement is true.
giving 20 points pls help me asap
Answers
Answer:
fishy camera
Step-by-step explanation:
most distance in feet from surface
The fish camera is furthest from the surface of the water.
?????? Help please .
Answers
Answer:
C is the correct answer to the question
Last year you mowed grass and shoveled snow for 12 houses. You earned $225 for each lawn you mowed
and $200 for each house you shoveled for a total of $2600. How many lawns did you mow? How many
driveways did you shovel?
Answers
1800 lawns were mowed. 800 driveways were shoveled.
What is equation?A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Given Data
Let mowed grass be x
Let shoveled snow be y
Last year you mowed grass and shoveled snow for 12 houses
x + y = 12
y = 12 -x
You earned $225 for each lawn you mowed and $200 for each house you shoveled for a total of $2600.
225x + 200y = 2600
Equating value of y
225x + 200(12-x) = 2600
225x + 2400 - 200x = 2600
225x - 200x = 2600 - 2400
25x = 200
x = 8
For value of y,
y= 12 -x
y = 12 - 8
y = 4
Lawn mowed = 225(8)
Lawn mowed = 1800
Shoveled snow = 200(4)
Shoveled snow = 800
1800 lawns were mowed. 800 driveways were shoveled.
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Oregon Oregon has an area of approximately 2.52 x 10 square kilometers. In 2000, the population of Oregon was approximately 3.42 x 106 people. How many people were there per square kilometer in Oregon in 2000?
Answers
There were approximately 13.57 people per square kilometer in Oregon in 2000.
How to calculate the population density of OregonTo find the population density of Oregon in 2000 (i.e., the number of people per square kilometer), we need to divide the total population by the area of the state. We can do this using the following formula:
Area of Oregon = 2.52 x 10^5 square kilometers
Population of Oregon in 2000 = 3.42 x 10^6 people
Population density = Population / Area
Population density = (3.42 x 10^6) / (2.52 x 10^5)
Population density = 13.57 people per square kilometer (rounded to two decimal places)
Therefore, there were approximately 13.57 people per square kilometer in Oregon in 2000.
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Prove if n is odd, then Phi(4n) = 2Phi(n). Prove if m and n are positive integers such that gcd(m, n) = p where p is prime, then Phi(mn) = p Phi (m)phi(n)/p - 1
Answers
We have proven the given statements. To prove the first statement.
We can use the formula for the Euler totient function:
Phi(p^k) = p^k - p^(k-1)
for any prime p and positive integer k. Using this formula, we can write:
Phi(4n) = Phi(2^2 * n)
= Phi(2^2) * Phi(n) (since 2 and n are relatively prime)
= (2^2 - 2) * Phi(n) (using the formula for Phi(2^2))
= 2(2-1) * Phi(n)
= 2Phi(n)
To prove the second statement, we can use the formula for the Euler totient function:
Phi(p^k) = p^k - p^(k-1)
for any prime p and positive integer k, and also the fact that if m and n are relatively prime, then Phi(mn) = Phi(m) * Phi(n). Using these formulas, we can write:
Phi(mn) = Phi(m) * Phi(n) (since m and n are relatively prime)
= (m/p * (p-1)) * (n/p * (p-1)) (using the formula for Phi(p^k) when gcd(m,pn) = p)
= (mn/p^2) * (p-1)^2
= (mn/p) * (p-1) * (p-1)
= p * (p-1) * (Phi(m) * Phi(n)) / (p-1)^2
= p * Phi(m) * Phi(n) / (p-1)
Therefore, we have proven the given statements.
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approximately 2000 tires are recycled to produce one lane-mile of asphalt rubber
Answers
A) The expression for the number of tires used to make x lane-miles of asphalt rubber is y = 2000x.
B) The number of tires used to make 11, 50, and 150 lane-miles of asphalt rubber are as follows:
y = 22000
y = 100000
y = 300000
How to create algebraic equations?
Approximately 2000 tires are recycled to produce one lane-mile of asphalt rubber.
Therefore, an expression for the number of tires used to make x lane-miles of asphalt rubber is as follows:
y = 2000x
where;
x = number of lanes-miles
y = number of tires
Therefore, the number of tires used to make 11, 50, and 150 lane-miles of asphalt rubber are as follows:
y = 2000(11) = 22000
y = 2000(50) = 100000
y = 2000(150) = 300000
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Complete question is;
Approximately 2000 tires are recycled to produce one lane-mile of asphalt rubber.
A.Write an expression for the number of tires used to make x lane-miles of asphalt rubber.
B. Find the number of tires used to make 11, 50, and 150 lane-miles of asphalt rubber.
Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.
Miles 34 ?
Hours 14 ?
miles per hour
Answers
Luis' speed in miles per hour is 136.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.
Because the measurement must be in miles per hour,
the time would be expressed in hours rather than minutes.
Speed = distance / time
Distance = 34 miles
Time = 15 minutes.
Speed = 34 ÷ 15 miles per minute.
Speed = 34 ÷ 1/4 miles per hour.
Now, speed = 34 x 4 miles per hour.
Therefore, Luis' speed is 136 miles per hour.
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When factored completely, x3 − 13x2 − 30x is
Answers
Answer:
x (x - 15) ( x + 2)
Step-by-step explanation:
Start by factoring out x. Use a modified version of the distributive property.
x(x^2 - 13x - 30)
The second factor breaks down further into two facts in some form. The factors are 15 and 2
x(x 15)(x 2) One of them is positive and one negative. The larger number numerically (15) must be minus, because the 13 is minus.
x (x - 15) ( x + 2) is your complete answer.
let x be the value of the first die and y the sum of the values when two dice are rolled. compute the joint moment generating function of x and y
Answers
T he joint moment generating function of x and y is M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)
Let X be the value of the first die, which takes on values {1, 2, 3, 4, 5, 6} with equal probability of 1/6 each. Let Y be the sum of the values of two dice, so Y takes on values {2, 3, ..., 12}.
The joint moment generating function of X and Y is given by:
M(t1, t2) = E[e^(t1X + t2Y)]
To compute this, we can use the law of total probability and conditioning on the value of X:
M(t1, t2) = E[e^(t1X + t2Y)]
= Σx P(X=x) E[e^(t1X + t2Y) | X=x]
= (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]
Now we need to compute E[e^(t1x + t2Y) | X=x]. We can use the fact that the sum of two dice is the sum of two independent uniform random variables on {1, 2, 3, 4, 5, 6}:
E[e^(t1x + t2Y) | X=x] = E[e^(t1x + t2(x+Z))]
= E[e^(tx) e^(t2Z)]
= MZ(t2) e^(tx)
where Z is a uniform random variable on {1, 2, 3, 4, 5, 6} and MZ(t2) is its moment generating function, which is:
MZ(t2) = E[e^(t2Z)]
= (1/6)Σz=1^6 e^(t2z)
Substituting this back into the expression for M(t1, t2), we get:
M(t1, t2) = (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]
= (1/6)Σx=1^6 MZ(t2) e^(tx)
= (1/6)Σx=1^6 [(1/6)Σz=1^6 e^(t2z)] e^(tx)
Simplifying the expression, we get:
M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)
This is the joint moment generating function of X and Y.
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It rained 6 days in the month of april. What percent of the month did it rain?
**there are 30 days in April**
a- 30%
b-25%
c-40%
d-20%
Answers
Answer:
d. 20%
Step-by-step explanation:
6*100=600
600 divided 30= 20
20%
Answer:
I want to say 20%
Step-by-step explanation:
the amount of days rained divided by the amount of days in April. and the make the decimal a percent (x100)
3 feet
5 feet
4 feet
Answers
Answer:
Post the question along with this
Ronald wants to paint his drawing room wall which measures 8 feet by 9 feet. The cost of the paint is $14 per square foot. How much will it cost Ronald to paint the wall
Answers
Answer:
$1036
Step-by-step explanation:
His room is 8 x 9 = 72 feet. The cost of each square foot is $14.
So 72ft x $14 = $1036. So its going to cost him $1036.
i hope i helped :)
Answer: Answer is 1,008
Step-by-step explanation:
Because 9 x 8 is 72 ft
Take 72 + 14 is equal to 1,008.
How you used the limit definition of a derivative to calculate the instantaneous acceleration. use your results to explain why the limit definition of a derivative is tru
Answers
The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.
To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.
The limit definition of a derivative is given by:
f'(x) = lim (h→0) [f(x+h) - f(x)] / h
To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.
Using the limit definition, we have:
a(t) = lim (h→0) [v(t+h) - v(t)] / h
Substituting v(t) = 5t^2, we get:
a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h
Expanding and simplifying:
a(t) = lim (h→0) [10th + 5h^2] / h
Now, we can cancel out the h term:
a(t) = lim (h→0) 10t + 5h
Taking the limit as h approaches 0, we get:
a(t) = 10t
Therefore, the instantaneous acceleration at any time t is given by 10t.
The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.
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please help picture below
Answers
Answer:
720
Step-by-step explanation:
height is 22
right triangle sides are
5 12 and 13
Answer:
B) 720 cm²
Explanation:
Area of triangular prism = Base × Height + Length × (perimeter of base)
Here given:
Base: 12 cmHeight: 5 cmLength: 22 cmPerimeter of Base: (5 + 12 + 13) = 30 cm=======================================
Solve for area: 12 × 5 + 22 × (30) = 720 cm²
The sum of the measures of angle S and angle Tis 120°
The measure of angle Sis (4x + 30)
The measure of angle Tis 30°.
What is the value of x ?
Answers
Answer:
\(x=15\)
Step-by-step explanation:
We know that the sum of Angle S and Angle T is 120. So:
\(\angle S+\angle T=120\)
The measure of Angle S is (4x + 30).
And the measure of Angle T is (30).
We want to find the value of x.
By substitution:
\((4x+30)+(30)=120\)
Combine like terms:
\(4x+60=120\)
Subtract 60 from both sides:
\(4x=60\)
Divide both sides by 4:
\(x=15\)
Hence, the value of x is 15.
PLLLLZZZZ HEEELLPP MEEE!!!!!!
Consider a triangle where all three sides are known, but no angles are known. Is there enough information to find all the angles in the triangle using only the law of sines?
A) True
B) False
Answers
Answer:
maybe false
have a great day
true
Explanation:
you can use a2 +b2=c2 to find it
could you please show the work for both of them?
Answers
substitute
-4=-3/2(8)+b
-4=-24/2 +b
-4=-12+b
+12 both sides
8=b
so equation would be...
y=-3/2x+8 (3rd answer choice)
8. y=-5x-17 (2nd answer choice)
substitute
-2=-5(-3)+b
-2=15+b
-15 both sides
-17=b
so the equation would be...
y=-5x-17 (2nd answer choice)
check your work by substituting each (x,y) value into the final equations if you want. hope this helps :))
What is the greatest common factor of 54 and 81? Can you explain how u got it too.
Answers
Answer:
27
Step-by-step explanation:
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, and 54.
The factors of 81 are: 1, 3, 9, 27, and 81.
They both have 27 as a factor, so this is the common factor.
List of positive integer factors of 54 that divides 54 without a remainder:
1,2,3,6,9,18,27,54
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 54,81 . The biggest common factor number is the GCF number.
So the greatest common factor 54,81 is 27.
hope this helps!!
Find the value of x
-38≤ 4x-6
Answers
Answer:
x=/>-8
Step-by-step explanation:
First add 6 on both sides: -32 </= 4x
then divide both sides by 4: -8</=x
I like to switch it to make more sense: x=/>-8
a) Find the HCF of 96,120,144
Answers
Answer:
The HCF of 96,120,144 is
Step-by-step explanation:
HCF means Highest common factor. The factor should be common among all.
In 120 the common factor is 3
120=23*3*5
In 96 the common factor is 3.
96=5*5*3
In 144 the common factor is 3.
144= 2*2*2*2*2*2*3
s0, the HCF is 3.
Find the distance between (-2.8) and (11, 2). Round to the nearest hundredth 14.32 13.58 12.58 13.04 None of the other answers are correct
Answers
Answer:
14.32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-2, 8)
Point (11, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: \(d = \sqrt{(11+2)^2+(2-8)^2}\)Add/Subtract: \(d = \sqrt{(13)^2+(-6)^2}\)Exponents: \(d = \sqrt{169+36}\)Add: \(d = \sqrt{205}\)Evaluate: \(d = 14.3178\)Round: \(d \approx 14.32\)D Calculate the value of the error with one decimal place for: Z= # where x = 5.9 +/-0.5 and y = 2.1 +/- 0.2 Please enter the answer without +/- sign. 4 Question 2 Calculate the value of the error wit
Answers
The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.
To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.
In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:
ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)
Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:
ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134
Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.
Therefore, the value of the error for Z, with one decimal place, is 4.
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At 6pm on October 23rd you exchange 100 JPY and receive 12.33 GSD
a state the rate you will take and how much you expect to receive?
Answers
Answer:
0.123 GSD are expected to be received by each JPY.
Step-by-step explanation:
The exchange rate is the ratio of GSD per each JPY, that is:
\(x = \frac{12.33\,GSD}{100\,JPY}\)
\(x = 0.123\,\frac{GSD}{JPY}\)
Which means that 0.123 GSD are expected to be received by each JPY.
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?
Choose 1 answer.
A. The robot meets both of Nadia's expectations.
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy
C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.
D. The robot doesn't meet either of Nadia's expectations.
Answers
Answer:
The correct option is;
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy
Step-by-step explanation:
The given requirements are;
Volume of air and water to be filtered by the robot = 343 liters
The amount of energy consumed by the robot < 49 joules
The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343
The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49
Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;
To filter more than 343 liters, we have
12*20 + 8*15 = 360 > 343
The robot meets the amount of air and water requirement
To filter with less than 49 joules we have
3*20 + 4*15 = 120 > 49
Therefore, the robot does not meet the energy requirement
The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.
What number goes in the box?
Answers
Answer:
10
Step-by-step explanation:
an item was marked down 3/4 of its original price and now cost $180. What is the original price?
We eat 3/5 of a box of cookies and there are 60 cookies left. How many cookies were initially in the box?
Answers
Answer:
2. 240 3. 100
Step-by-step explanation:
2. Create a chart 3/4 and 180/x and place them side by side
multiply 4 times 180 then divide by 3 to get 240
3 Create another chart 3/5 then 60/x and multiply 5 times 60 and divide that by 3 to get 100
What is the value of w in the equation 2(2w − 16) = 0?
Answers
Answer:
\(w=8\)
Step-by-step explanation:
\(2(2w-16)=0\\4w-32=0\\4w=32\\w=8\)
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8