Which of the following best describes the quadrilaterals shown below?


A.
Quadrilateral 1 and quadrilateral 2 are similar because quadrilateral 2 can be created by rotating, reflecting, and/or translating and dilating quadrilateral 1.

B.
Quadrilateral 1 and quadrilateral 2 are congruent because quadrilateral 2 can be created by rotating, reflecting, and/or translating quadrilateral 1.

C.
Quadrilateral 1 and quadrilateral 2 are similar because quadrilateral 2 can be created by rotating, reflecting, and/or translating quadrilateral 1.

D.
Quadrilateral 1 and quadrilateral 2 are congruent because quadrilateral 2 can be created by rotating, reflecting, and/or translating and dilating quadrilateral 1.

The approximate length of RS is 10 units.

We have the information from the question:

Length of the RX is = 6 units

Length of the XW is = 8 units

We have to find the length of RS.

Now, According to the question:

We use the formula, for finding the length of RS

\(RS=\sqrt{RX^2+XW^2}\)

Plug all the values in above formula, we get:

\(RS =\sqrt{6^2+8^} \\\\\)

\(RS=\sqrt{36+64}\)

\(RS=\sqrt{100}\)

RS = 10 units.

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The bond yield is 6.2%.Coupon rate = 4.9%.Bond maturity = 10 years.Number of years since bond issued = 2 years. The bond pays coupons semi-annually. We will have a total of 20 coupon payments for the bond. The coupon rate is 4.9% and the face value is $1000.

The bond price is calculated as follows:

Step 1: Calculate the semi-annual coupon paymentsThe semi-annual coupon rate is calculated as follows:4.9% / 2 = 2.45%.The semi-annual coupon payment is calculated as follows: Semi-annual coupon payment = Coupon rate × Face value × ½= 2.45% × $1000 × ½= $12.25.

Step 2: Calculate the semi-annual discount rateThe semi-annual discount rate is calculated as follows: Discount rate = Annual yield ÷ 2= 6.2% ÷ 2= 3.1%.

Step 3: Calculate the present value of the bond. The present value of each semi-annual coupon payment is calculated using the formula as follows: PMT × [1 - (1 + r)-n]÷r + FV ÷ (1 + r)n, where PMT is the semi-annual coupon payment, FV is the face value of the bond, r is the semi-annual discount rate, and n is the number of semi-annual payments. The present value of the bond is the sum of the present value of all the future cash flows. This is calculated as follows: PV = PV of first coupon payment + PV of second coupon payment + PV of third coupon payment + ... + PV of final coupon payment + PV of the face value of the bond.PV of semi-annual coupon paymentsPV of first coupon payment = $12.25 × [1 - (1 + 3.1%)-39] ÷ 3.1% + $1000 ÷ (1 + 3.1%)40= $12.25 × 22.5056 + $385.5439= $404.87.

PV of second coupon payment = $12.25 × [1 - (1 + 3.1%)-38] ÷ 3.1% + $1000 ÷ (1 + 3.1%)39= $12.25 × 22.6999 + $393.2265= $405.66.

PV of third coupon payment = $12.25 × [1 - (1 + 3.1%)-37] ÷ 3.1% + $1000 ÷ (1 + 3.1%)38= $12.25 × 22.8962 + $401.1712= $406.46.PV of fourth coupon payment = $12.25 × [1 - (1 + 3.1%)-36] ÷ 3.1% + $1000 ÷ (1 + 3.1%)37= $12.25 × 23.0949 + $409.2873= $407.27.

The present value of all the semi-annual coupon payments is calculated as follows: PV of semi-annual coupon payments = $404.87 + $405.66 + $406.46 + $407.27 + ...= $692.56.PV of the face value of the bond

The present value of the face value of the bond is calculated as follows: PV of the face value of the bond = Face value ÷ (1 + r)n= $1000 ÷ (1 + 3.1%)40= $385.54.The present value of the bond is calculated as follows: PV of bond = PV of semi-annual coupon payments + PV of the face value of bond= $692.56 + $385.54= $1078.1Therefore, the price of the bond is $1078.1.

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Answer:

it is <

Step-by-step explanation:

Answer -4x

Step-by-step explanation:

distribute the x to 5x and -4

Answer:

A. g(x) = (2x)²

Step-by-step explanation:

From the diagram of the two functions graph f(x) is the parent function and g(x) is the transformed function. you can see that the graph of g(x) is stretched vertically compared to the graph of g(x). The Parent function has y =1 corresponding to x =1 while for the transformed function when x = 1, y = 4 the graph is vertically stretched by a factor of 4, and horizontally The Parent function has y =1 corresponding to x =1. while for the transformed function when x = 0.5, y = 1, it is stretched  horizontally by 2 (√4), i.e

This means that g(x) = 4x² = (2x)²

The appropriate inference method to test for a difference between the average IQ scores of identical twins raised by birth parents and in a foster home is paired t-test.

A paired t-test is used when comparing two sets of observations that are paired or matched in some way, such as in the case of identical twins. In this scenario, the twins are matched based on their genetic makeup, and their IQ scores are compared based on their different upbringing environments (birth parents vs. foster home). The paired t-test allows us to analyze the difference between the paired observations (IQ scores) and determine if there is a statistically significant difference between the two groups.

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Answer:

Part A: 108

Part B: 125

Part C: 1.71 x 10^-4

Part D: 0.2

Part E: 0.040

Sorry for the wait, laptop is being slow :/

I hope this helps.

Answer:

\(\bold{\frac{3}{16} }\)

Explanation:

1 / 16 (3)

= (1 / 16) (3 / 1)

= (1)(3) / (16)(1)

= 3 / 16

The value of the unknown variable in the ordered pair is 8

From the question, we have the following ordered pairs that can be used in our computation:

(r, 3), (5, 9)

Also, we have

m = 2

The meaning of the above notations are

Ordered pairs (x, y) = (r, 3), (5, 9)

Slope, m = 2

The slope of points is calculated using the following slope equation

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (r, 3), (5, 9) and m = 2

Substitute the known values in the above equation, so, we have the following representation

(9 - 3)/(r - 5) = 2

Evaluate the difference

This gives

6/(r - 5) = 2

Divide both sides by 2

So, we have

3/(r - 5) = 1

Cross multiply

r - 5 = 3

So, we have

r = 3 + 5

Evaluate the sum

r = 8

Hence, the value of r is 8

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Possible question

What is the value of r using the following points and slope

(r, 3), (5, 9), m=2

Answer: try answer c

Step-by-step explanation:

Answer:

I think the answer is d

Step-by-step explanation:

\( \frac{3 - ( -1)}{ - 4 - 2} = \frac{4}{ - 6} \)

simplify it and the final answer will be -2/3

The marginal frequency refers to the frequencies obtained by dividing a row or column total by the grand total.

The concept of marginal frequency is often used in the context of contingency tables, which display the distribution of two categorical variables.

Marginal frequencies are calculated by dividing a row or column total by the grand total. This allows us to examine the distribution of one variable independently of the other variable.

The frequencies obtained in this manner represent the proportion or percentage of cases within a specific row or column relative to the overall total. Therefore, the options "a frequency that divides a row total by the grand total" and "a frequency that divides a column total by the grand total" correctly describe the concept of marginal frequency.

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Answer:

s ≤ 160

Step-by-step explanation:

To represent a situation that no more Than 160 students are in a a freshman class.

Let the Total number of students in the class = s

Hence, to represent the situation using inequality notation :

s ≤ 160

This means, S is less than or equal to 160

Answer:

$84.58

Step-by-step explanation:

You would do 9.95 times 8.5 which gives you 84.575 which in money case you round to two decimal places you keep the 5 but 7 you round to 8 because "5 or more you add one more"

Hope this helps

it takes 0.1 second to do 3 meters

Answer:

4.81 m

Step-by-step explanation:

area of Equilateral triangle with side length a : area = (√3/4) a²

10 = (√3/4) a²

a² = 40√3 / 3 = 23.09

a = 4.81 m

if you are in Trigonometry: h/a = sin 60°

h = (√3 / 2) a

Answer:

x = 1 or x = -7

Step-by-step explanation:

Divide both sides by the factor, then simplify. Make sure to cancel any terms that are in both the numerator and denominator. Then, split the problem in two issues—positive and negative.

\(3 |x + 3| = 12 \\ |x + 3| = 4 \\ x + 3 = 4 \: \: \: or \: \: \: x + 3 = - 4 \\ x = 4 - 3 \: \: \: or \: \: \: x = - 4 - 3 \\ x = 1 \: \: \: or \: \: \: x = - 7\)

Solution : {1 , -7}

it's choice C

Please give brainliest

Answer:

Answer:

-3x - 12=-3(x+4)

Answer: positive 4

Step-by-step explanation:

Slope of segment WU = 4/5

Slope of segment UV = -2/3

Slope of segment VW = 0

To find the slopes of each line segment of a triangle, you will need to know the coordinates of the vertices (corners) of the triangle.

We have a triangle with vertices U(x1, y1), V(x2, y2), and W(x3, y3). Then we can find the slopes of the line segments as follows:

Slope of segment UV:

The slope of the line passing through points U and V can be found using the formula:

mUV = (y2 - y1) / (x2 - x1)

From the graph: x1 = 1, y1 = 3; x2 = 4, y2 = -1

mUV = (-1 - 1) / (4 - 1) = -2/3

Slope of segment VW:

The slope of the line passing through points V and W can be found using the formula:

mVW = (y3 - y2) / (x3 - x2)

x2 = 4, y2 = -1; x3 = -4, y3 = -1

mVW = (-1 - (-1)) / (-4 -4) = 0/(-8) = 0

Slope of segment WU:

The slope of the line passing through points W and U can be found using the formula:

mWU = (y3 - y1) / (x3 - x1)

x1 = -4, y1 = -1; x3 = 1, y3 = 3

mWU = (3 - (-1)) / (1 - (-4)) = 4/5

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The correct option regarding the random assignment of babies in the treatment is given as follows:

Random assignment helps us distinguish the effects of the treatments form chance difference between the groups.

Random assignment is used for control in experimental researches, to strengthen the validity of an experiment, distinguish the effects of the treatments form chance difference between the groups.

In these experiments, the effect of an independent variable is studied in one or multiple dependent variables in the study, and then the random assignment increases the validity of these effects.

Thus the correct option is given as follows:

Random assignment helps us distinguish the effects of the treatments form chance difference between the groups.

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The length of the height of the prism is 6 m

From the question, we are to determine the length of the height of the prism

The volume of a prism is given by the formula,

Volume = width × base × height

Thus,

Height = Volume / (width × base)

From the given information,

base = 5 m

width =  3m

Volume = 90 m³

Putting the parameters into the formula, we get

Height = 90 /(3 × 5)

Height = 90 / 15

Height = 6 m

Hence, the length of the height of the prism is 6 m

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Step-by-step explanation:

Using the modified picture attached to this answer;

Parameters

x = Angle X

8 = x

19 = y

14 = z

Therefore,

Using Cosine rule

x² = y² + z² - 2·y·z·cos X

Masking Cos X the subject of the formula,

Cos X = (y² + z² - x²) / (2·y·z)

Cos X = (19² + 14² - 8²) / (2·19·14)

Cos X = (361 + 196 - 64) / 532

Cos X = (557 -64) / 532

Cos X = 493 / 532

Cos X = 0.92669

But, since we are looking for angle X, we have to divide both sides by Cos, therefore having;

X = Cos-¹ [0.92669]

Since 1 / Cos = Cos-¹

Therefore,

X = 22.075

And since x, our unknown, is equal to angle X, then,

x = 22.1 (to the nearest tenth)

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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To solve the fraction addition problem in C++, you can define a Fraction struct to represent fractions. Implement a gcd function to find the greatest common divisor.

Parse the input fractions and perform the addition using overloaded operators. Print the result. The code reads the input string, finds the "+" operator position, parses the fractions, performs the addition, and prints the sum.

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Answer:

23.8. I think

Step-by-step explanation:

So we already have 2/3 parts of the line, so SQ-RS=QR=23.8. because 68.4 minus 44.6 equals 23.8. Hope this helps.

Answer: $9095.44

Step-by-step explanation:

Given:

P=7380

r=1.9% = .019

t= 11

V = P\(e^{rt}\)                               >substitute

V = 7380 \(e^{(.019)(11)}\)              >Plug into calculator

V= $9095.44

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The total area of the room and the sitting area is 286.93 ft².

We have,

The area of the rectangle.

= Length x Width

= 15 x 14

= 210 ft²

Semicircle.

r = 14/2 = 7 ft

= 1/2 x πr²

Area = 1/2 x 3.14 x 7²

= 1/2 x 3.14 x 49

= 76.93 ft²

Now,

The total area of the room and the sitting area.

= 210 + 76.93

= 286.93 ft²

Thus,

The total area of the room and the sitting area is 286.93 ft².

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