Step 1
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
We will label the angles in the triangle thus;
Step 2
Identify the similar triangles in increasing order of size.
\(\begin{gathered} The\text{ similat triangles are Triangle TUV, Triangle STV and Triangle SUT} \\ The\text{ similar triangles in increasing order are TUV\textasciitilde STV\textasciitilde SUT} \end{gathered}\)Answer;
\(TUV\text{\textasciitilde STV\textasciitilde SUT}\)Step 3
Find the value of x using the ratio of similar triangles
\(\begin{gathered} \frac{ST\text{ of medium triangle}}{SV\text{ of medium triangle}}=\frac{SU\text{ of biggest triangle\lparen x\rparen}}{ST\text{ of biggest triangle}} \\ \frac{20}{16}=\frac{x}{20} \\ 20(20)=16x \\ 400=16x \\ \frac{16x}{16}=\frac{400}{16} \\ x=25 \end{gathered}\)Answer;
\(x=25\)
Which division problem is represented with this model?
Responses
15÷2
1 fifth divided by 2
15÷6
1 fifth divided by 6
16÷2
1 over 6 end fraction divided by 2
12÷5
1 half divided by 5
Answer:
C.
Step-by-step explanation:
We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\) ➗ \(2\)
What would A,B,C,D,F be?
Answer:
A would be 60
B would be 50
C would be 70
D would be 110
F would be 70
How many
1/4-foot cubes would fill the inside of the prism?
Write the answer in the box.
There are 4 cubes of size 1/4 foot would fill the inside of the prism.
We have to given that;
Height of cuboid = 3 feet
Length of cuboid = 3/4 feet
Width of cuboid = 1/2 feet
We know that;
Volume of cuboid = Length x width x height
Hence,
V = 3/4 x 3 x 1/2
V = 9/8
Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,
= (9/8) ÷ (1/4)
= (9/8) x 4
= 9/2
= 4.5
Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.
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Ashwini’s family is getting reading for the local Holi Festival. Ashwini mixes yellow and red food coloring to make orange according to the graph. What is the slope of the line what does the slope represent?
From the given graph, let's find the slope.
Take two points on the line:
(x1, y1) ==> (10, 4)
(x2, y2) ==> (20, 8)
Apply the sloe formula to find the slope:
\(m=\frac{y2-y1}{x2-x1}\)Thus, we have:
\(\begin{gathered} m=\frac{8-4}{20-10} \\ \\ m=\frac{4}{10} \\ \\ m=\frac{2}{5} \end{gathered}\)The slope of the line is 2/5.
Since the x-axis of the graph represents the amount of Yellow food colouring in ounce while the y-axis represents the red food colouring, the slope represents the amount of red food colouring needed per ounce of yellow colouring.
For every ounce of yellow food colouring, there is 2/5 ounce of red food colouring.
ANSWER:
Slope = 2/5
For every ounce of yellow food colouring, there is 2/5 ounce of red food colouring.
solve for 8v = 3v + 25
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
Help please! I’ll give brainliest!
Answer:
Corresponding
congruent interior
equation 9x+8=4x+18
angle measure 26
Explanation:
9x+8=4x+18
-4x = -4x
5x+8=18
-8 = -8
5x=10
x=10/5
x=2
---
so... now plug in 9(2)+8 = 18+8=26degrees
to confirm the angle should be the same for the next one
4x+18=26
solve for x
26-18=4x
8=4x
8/4=x
2=x
Help me please! 30 points!
Answer: The answer is C :) hope that helps
Step-by-step explanation:
Answer: Range is $104.00
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Rectangle ABCD is translated to produce image EFGH. Which statement is
true?
Therefore, the correct statement is:" D corresponds to E." that is option B.
What is rectangle?A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.
Here,
In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).
To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.
A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.
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Please helppppppppppp
Answer:
1
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Step-by-step explanation:
What is sales tax and explain how we use it in everyday life.
1-5 sentences plz
Answer: Look below. I hope this helps=3
Step-by-step explanation: Sales tax is an additional amount of money you pay. based on a percentage of the selling price of goods. Also services that are purchased. For example, if you purchase a new television for $400 and live in an area where the sales tax is 7%. Then you would pay $28 in sales tax.
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
In a triangle with angles measuring a, b and c degrees, the mean of b and c is a. What is the
value of a?
Answer:
60
Step-by-step explanation:
\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)
Therefore, the value of a is 60 degrees
can you please give me a short brief answer
Answer:
120 yards 1.
Step-by-step explanation:
In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:
Area of rectangle = length × width
12 × 15 = 180 yards²
Area of triangle = ½ × base × height
½ × 10 × 12 = 60 yards²
Now subtract the area of triangle from the area of rectangle:
180 - 60 = 120 yards ²
I am stuck, please help
Answer:
2323
Step-by-step explanation:
Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.
The question says there are 23 classes and each class is to collect 101 items.
The equation would be 23 x 101.
To do this in your head real quick, make the numbers easier to multiply.
Make the 101 items 100. That means you are telling each class to collect 1 less item or 23 less items total.
You can do this in your head real quick. 23 classes collecting 100 items is 2300 items.
You had each class collect 100 items instead of 101. That mean you didn't collect 23 items. So if you add those back in, you will get
2323 items.
What conclusion can be made based on this multiplication problem?
8 × 6 = 48
Eight is 6 times greater than 48.
Eight is 8 times greater than 48.
Forty-eight is 6 times greater than 8.
Forty-eight is 8 times greater than 8.
Answer:
Forty-eight is 6 times greater than 8.
Step-by-step explanation:
Option 1: WRONG
6 times greater than 48
= 6 × 48
= 288
288 no equal to 8.
Option 2: WRONG
8 times greater than 48
= 8 × 48
= 384
384 no equal to 8.
Option 3: CORRECT
6 times greater than 8
= 6 × 8
= 48
48 is equal to 48.
Option 4: WRONG
8 times greater than 8
= 8 × 8
= 64
64 no equal to 48.
An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?
Answer:
The area is changing at the point of \(\mathbf{61200 m^2/year}\)
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)
At the time t
\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)
Replacing the values back into equation 2, we get:
\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)
\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)
2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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mathematics plssssssss help me!!!!
correct me
Answer:
let the children be x
let the dog be y
for the heads
x+y = 14 --- eqn 1
for the legs
2x + 4y = 40 ----- eqn2
since the children have 2 legs each and the dogs have 4 legs each
x + y = 14
2x+4y=40
through elimination method
multiply eqn1 by 2 and multiply eqn2 by 1
2x + 2y = 28
2x + 4y = 40 , then subtract
-2y = -12
to get y divide both sides by -2
y = 6
since in eqn 1
x+y=14
x = 14-y = 14-6 = 8
x = 8, y = 6
the children are 8 while the dogs are 6
Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following results:
• Even number = lose $9.
• 1 or 3 = win $2
• 5 = win $10
What is the expected value of the game?
Solve:
22,440=6,200e^0.06T
22,440=6,200e^0.1T
Answer:
\(22440=6200e^{0.06T}\)
\(\implies \dfrac{561}{155}=e^{0.06T}\)
\(\implies \ln\dfrac{561}{155}=\ln e^{0.06T}\)
\(\implies \ln\dfrac{561}{155}=0.06T\)
\(\implies T=\dfrac{50}{3}\ln\dfrac{561}{155}\)
\(\implies T=21.43826314...\)
\(22440=6200e^{0.1T}\)
\(\implies \dfrac{561}{155}=e^{0.1T}\)
\(\implies \ln\dfrac{561}{155}=\ln e^{0.1T}\)
\(\implies \ln\dfrac{561}{155}=0.1T\)
\(\implies T=10\ln\dfrac{561}{155}\)
\(\implies T=12.86295789...\)
18 positive integers and 13 negative integers are multiplied.
Using multiplication rules, it is found that the result of the multiplication will be a negative number.
What are multiplication rules?When two numbers of the same signal are multiplied, the result is positive.Hence, when an even number of negative numbers are multiplied, the result is positive. If an odd number is multiplied, the result is negative.Hence, in this problem we have that:
The result of the multiplication of the 13 negative integers is negative.The result of the multiplication of the 18 positive integers is positive.The multiplication of both results is the multiplication of a negative by a positive, hence it is negative.More can be learned about multiplication rules at https://brainly.com/question/4158962
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In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
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3/4+x=2x−x+_
Make equation have infinite solutions in the blank
Answer:
3/4
Step-by-step explanation:
3/4+x=2x−x+_
2x-x is x
So the equation is now
3/4+x=x+_
So to have infinite solutions, we will have to get both of the sides the same value
Since there is already an x on both sides we don't have to worry about it
Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation
Hope this helps!
What type of move takes Figure A to Figure B ?
Answer:
Step-by-step explanation:
Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes, Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means. Is the sampling distribution of the difference in sample means approximately normal? A) Yes, because Alicia selected a random sample Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size C) Yes, because the size of each sample is at least 30 D) No, because the distribution of Brand A shoes has outliers (E) No, because the shape of the population distribution is unknown
Because Alicia chose a random sample, the answer is (A).
How is the sampling distribution of the difference in sample means approximately normal?Regardless of the population distribution's shape, the Central Limit Theorem states that as sample size rises, the sampling distribution of the sample means tends to resemble a normal distribution. 40 pairs of Brand A shoes and 33 pairs of Brand B shoes were randomly chosen by Alicia, meeting the Central Limit Theorem's minimum sample size criterion. Hence, even though the distribution of Brand A shoes contains outliers, the sampling distribution of the difference in sample means is roughly normal. The Central Limit Theorem can be applied without assuming a particular population size or sample size, provided that the sample is independent and random.
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The correct answer is (C) Yes, because the size of each sample is at least 30.
Explain Central Limit Theorem?The Central Limit Theorem (CLT) states that the sampling distribution of the mean of a sufficiently large number of independent and identically distributed random variables will be approximately normal, regardless of the population distribution, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
The Central Limit Theorem states that the sampling distribution of the difference in sample means will be approximately normal as long as the sample sizes are large enough, typically n≥30.
Therefore, the fact that Alicia's sample sizes are 40 and 33 respectively ensures that the sampling distribution is approximately normal, even with outliers in Brand A.
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Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs.
164.50+37.50= 201.75
gtu
1. Simplify the expression below.
-5(3x) + x
A. -15x
B. – 13x
C. -14x
D. –15 + x
Answer:
i think it's D or B. i hope this helps I didn't really know what to do
What is an overdraft fee list two reasons why banks charge overdraft fees?
Answer:
An overdraft fee is a fee banks charge for withdrawing more money from an account than the current balance of that account. Banks charge overdraft fees to discourage overdrawing accounts and to make money from fees.
Step-by-step explanation:
Answer: Overdraft fee is when you withdraw more money from an account than the current balance of that account.
Step-by-step explanation:
Fees are charged to discourage overdrawing accounts and to make money from fees.