in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ​

Answer:

y = 5x + 4

Step-by-step explanation:

Remember, that slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

We are given that the slope is 5 and that the y-intercept is 4. To find the equation of the line, we can just plug in 5 for m and 4 for b into the equation for slope-intercept form:

y = 5x + 4

And now we have found the equation of the line.

I hope this helps. Happy studying.

Answer:

x = 30

Step-by-step explanation:

The perimeter is the sum of all of the sides of a shape. Therefore, because the sum is equivalent to 104 inches and we are given the lengths of all three sides, we can add the three sides together and set them equal to 104 in order to solve for x.

(x + 3) + (x + 4) + (x + 7) = 104 Drop the parentheses.

x + 3 + x + 4 + x + 7 = 104 Combine like terms (variables first!).

3x + 3 + 4 + 7 = 104 Now, combine constant terms.

3x + 14 = 104 Subtract 14 from both sides.

3x = 90 Divide by 3 on both sides of the equation.

x = 30

Answer:

Step-by-step explanation:It's c bestie ,;

Answer:

The answer is C

Step-by-step explanation:

I took the quiz and looked it up just to make sure

The linear function that represents the line y - 2 = 4(x - 3), in slope-intercept form, is expressed as: D. f(x)y = 4x - 10.

A linear function equation is expressed as, y = mx + b, in slope-intercept form.

Given the point-slope equation of the function, y - 2 = 4(x - 3), rewrite in slope-intercept form:

y - 2 = 4(x - 3)

y - 2 = 4x - 12

y = 4x - 12 + 2

y = 4x - 10

The linear function would be: D. f(x)y = 4x - 10

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Answer:

I don't know the answer! this is hard

Step-by-step explanation:

Answer:

need help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. (-4,-2) (4,-2)

2. (4,1)(7,1)

Step-by-step explanation:

The particle's average velocity for the period from when t = 1 and lasting for a duration of 0.01s is 2.178813 ft/s.

Therefore, the formula for average velocity can be given as:

Average velocity = (final displacement - initial displacement)/duration of the period. The displacement (in feet) of a particle moving in a straight line is given by y =1/2t^3. Therefore, at t = 1 s, the displacement of the particle is given as:

y = 1/2 × 1^3= 0.5 ft.

For the period beginning when t = 1 and lasting for a duration of 0.01 s:

Initial displacement = 0.5 ft

Final displacement, y = 1/2(1.01)^3= 0.52178813 ft

Average velocity = (final displacement - initial displacement)/duration of time period

= (0.52178813 - 0.5)/0.01

= 2.178813 ft/s (rounded to six decimal places)

Therefore, the particle's average velocity for the period from when t = 1 and lasting for a duration of 0.01s is 2.178813 ft/s.

ii. For the period beginning when t = 1 and lasting for a duration of 0.005 s:

Initial displacement = 0.5 ft

Final displacement,

y = 1/2(1.005)^3= 0.50251506 ft

Average velocity = (final displacement - initial displacement)/duration of time period

= (0.50251506 - 0.5)/0.005

= 2.51506 ft/s (rounded to six decimal places)

Therefore, the particle's average velocity for the period from when t = 1 and lasting for a duration of 0.005s is 2.51506 ft/s.

iii. For the period beginning when t = 1 and lasting for a duration of 0.002 s:

Initial displacement = 0.5 ft

Final displacement,

y = 1/2(1.002)^3= 0.5002008 ft

Average velocity = (final displacement - initial displacement)/duration of time period

= (0.5002008 - 0.5)/0.002

= 0.1004 ft/s (rounded to six decimal places)

Therefore, the average velocity of the particle for the time period from when t = 1 and lasting for a duration of 0.002s is 0.1004 ft/s.

iv. For the period beginning when t = 1 and lasting for a duration of 0.001 s:

Initial displacement = 0.5 ft

Final displacement,

y = 1/2(1.001)^3= 0.50050075 ft

Average velocity = (final displacement - initial displacement)/duration of time period

= (0.50050075 - 0.5)/0.001

= 0.50075 ft/s (rounded to six decimal places)

Therefore, the particle's average velocity for the time period from when t = 1 and lasting for a duration of 0.001s is 0.50075 ft/s.

The average velocity of a particle is an important concept in physics as it helps to understand the motion of particles and the relationship between displacement, velocity, and time.

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Answer:

A is the correct answer

Step-by-step explanation:

The gambler's payoff has a standard deviation of $1. The gambler can expect to win or lose $1 on average for each coin flip, and there is a high degree of variability in the possible outcomes of the game.

The standard deviation of the gambler's payoff can be calculated using the following formula:

σ = √(Σ(xi - μ)^2 * P(xi))

where σ is the standard deviation, xi is the possible outcome of the game, μ is the expected value of the game, and P(xi) is the probability of each outcome.

In this case, there are two possible outcomes: winning $1 with probability 1/2 and losing $1 with probability 1/2. The expected value of the game is:

μ = (1/2 * $1) + (1/2 * -$1) = $0

To calculate the standard deviation, we need to determine the variance first. The variance can be calculated as:

σ^2 = Σ(xi - μ)^2 * P(xi)

= (1 - 0)^2 * 1/2 + (-1 - 0)^2 * 1/2

= 1

Therefore, the standard deviation is:

σ = √1 = 1

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The line integral \(\int_{c}xds\)where c is the straight line segment from point (1, 2) to point (5, 10) is 12√5.

Using the two-point form of the line, we can compute the equation of the line connecting the points and obtain:

y = 2x

Consider x = t. Now the result is:

y = 2t

We can write C as:

\(\vec{r}(t)=t\hat{i}+2t\hat{j}\)

Now, t ranges from t = 1 to t = 5 since x = t and x range from x = 1 to x = 5. When we differentiate the C equation, we obtain:

\(\vec{r}'(t)=\hat{i}+2\hat{j}\)

Now finding the magnitude

\(|\vec{r}'(t)|=\sqrt{(1)^2+(2)^2}\)

\(|\vec{r}'(t)|=\sqrt{1+4}\)

\(|\vec{r}'(t)|=\sqrt{5}\)

Now, the integral will be:

I = \(\int_{t=1}^5t\:(\sqrt 5)dt\)

I = \(\sqrt {5}\int_{t=1}^5tdt\)

Now integrating

I = \(\sqrt {5}\left(\frac{t^2}{2}\right)_{t=1}^{5}\)

I = \(\sqrt {5}\left(\frac{5^2}{2}-\frac{1^2}{2}\right)\)

I = √5(25/2 - 1/2)

I = √5(12.5 - 0.5)

I = 12√5

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The complete question is:

Evaluate the line integral \(\int_{c}xds\)where c is the straight line segment from point (1, 2) to point (5, 10).

A table that could be used to graph a piece of the function include the following: D. table D.

In Mathematics and Geometry, a piecewise-defined function is a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains.

Since the domains of this piecewise-defined function are 0 ≤ x ≤ 40 and 40 ≤ x ≤ 200, we can reasonably infer and logically deduce that only table D can be used to graph a piece of the piecewise-defined function;

-3/8(x) + 75 = 60

75 - 60 = 3x/8

120 = 3x

x = 120/3

x = 40.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

  9xy² -6x²y +5x³

Step-by-step explanation:

You want the additive inverse of –9xy² + 6x²y – 5x³.

The additive inverse is the value that gives zero when added to the original. It can be formed by changing the signs of the terms in the sum:

  9xy² -6x²y +5x³

Using Binary addition with 2's complement, the following answers are found for the given expressions:
a) 47 - 83 = 11011101 (2's complement) = -60
b) -16 - 131 =  10010011 (2's complement) = -146

a. To solve 47 - 83 using binary addition with 2's complement, we first convert the numbers to their binary representation:

47 = 00101111

83 = 01010011

Now, let's perform the subtraction using binary addition with 2's complement:

00101111 (47)

01010011 (83, 2's complement)

11011100 (2's complement of 83)
11011101 (2's complement result)

The result in binary is 11011101. To convert it back to decimal, we take the 2's complement and add 1:

= 11011101 (2's complement)

= -1

= 11011100

The decimal equivalent of the binary result is -60. Therefore, 47 - 83 = -60.

b)  To solve -16 - 131 using binary addition with 2's complement, we need to convert the numbers to their binary representation:

-16 = 11110000

-131 = 10000011

Since we are subtracting, we need to find the 2's complement of the second number (131).

2's complement of 131:

Step 1: Invert the bits: 10000011 -> 01111100

Step 2: Add 1 to the inverted bits: 01111100 + 1 = 01111101

Now, let's perform the subtraction using binary addition:

11110000 (-16)

01111101 (2's complement of 131)

1 01101101 (Overflow bit)

The result in binary is 101101101, but since we are using 8-bit representation, we consider the result modulo 2^8. Therefore, the final result is 01101101, which is equal to 109 in decimal.

However, since we were subtracting, the result should be negative. To obtain the negative value, we consider the overflow bit (leftmost bit) and perform the 2's complement on the result.

2's complement of 01101101:

Step 1: Invert the bits: 01101101 -> 10010010

Step 2: Add 1 to the inverted bits: 10010010 + 1 = 10010011

Therefore, -16 - 131 = -146.


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Answer: x+4 = 12

Step-by-step explanation:

Answer:

3x-x+2=4

Step-by-step explanation:

If the value of n equals \(-\frac{1}{10}\), then the given equation would be true.

_________________________________________________

Isolate the variable by dividing each side by factors that do not contain the variable. This being said and dealt with, n = \(-\frac{1}{10}\)

Now, in order to determine if the value of n truly does make the equation true, we put \(-\frac{1}{10}\) in replacement of the n values of the equation. In this situation, the left side 9.8 is equal to the right side 9.8 after \(-\frac{1}{10}\) is inserted. This means that the given statement is always true with \(n = -\frac{1}{10}\).

Hope this helps!

The probability is 8/9.

From the question, we have

probability = (1/3)*(1/3)*(1/3) = 1/27 chance (all of them lie)

probability = (2/3)*(2/3)*(2/3) = 8/27 chance (all of them true).

Since, they all say it's heads.

Thus, the probability of it being heads = (8/27)/ ((8/27)+(1/27)) = 8/9.

Probability:

Chance is referred to as probability. This branch of mathematics studies the probability of a random event. The value is between 0 and 1. Probability is a concept that mathematics has adopted to predict the likelihood of particular events. Probability is just the measure of how likely something is to occur. With the help of this fundamental theory of probability, which is also used to describe the probability distribution, you will be able to comprehend the possible results for a random experiment. How likely something is to occur can be determined using probability. It might be challenging to predict many things with complete certainty. We can only predict whether an event will occur or how likely it is using it, not if it will actually occur.

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If 150 is the 15%, to find which number is the 100% we use the rule of 3

and the rule say that:

Answer:

false

Step-by-step explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false

The amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60.

To calculate the accumulated amount by the end of the sixth and final payment, we can use the future value of an ordinary annuity formula:

Future Value = Payment × Future Value of an Ordinary Annuity Factor

The payment is $5,800, and the interest rate is 9%. Since the payments are made at the end of each year, we can use the future value table for an ordinary annuity at 9%.

Looking up the factor for 6 years at 9% in the future value table, we find it to be 7.169858.

Now we can calculate the accumulated amount:

Future Value = $5,800 × 7.169858 = $41,666.60

Therefore, the amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60. The correct answer is not among the options provided.

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Answer:

1/3 and -1/3

Step-by-step explanation:

6 times 1/3 = 2
because there are absolute value brackets that means that the answer can be 1/3 or -1/3 because the absolute value brackets will make it positive regardless.

Answer:

What is the question or image?

Step-by-step explanation:

Need it to solve

To accumulate $20,000 in 18 years with a 5% interest annuity, you would need to make monthly payments of approximately $63.23.

To calculate the monthly payment needed to reach the goal of $20,000 in 18 years, we can use the future value of an ordinary annuity formula. The formula is given as:

PMT = PV * (r / (1 - (1 + r)^(-n)))

Where:

PMT = Monthly payment

PV = Present value (initial amount to save, assumed to be $0)

r = Monthly interest rate (5% divided by 12 months, which is 0.05/12)

n = Total number of months (18 years multiplied by 12 months, which is 18 * 12)

Substituting the values into the formula, we get:

PMT = 0 * (0.05/12) / (1 - (1 + (0.05/12))^(-18*12))

PMT ≈ $63.23 (rounded to two decimal places)

Therefore, to meet the savings goal, you would need to make monthly payments of approximately $63.23.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

The given data is

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

(a) calculate mean value of x:

μ = E(x)

  = ∑(xi.P(xi))

 = 4.13

(b)  calculate variance of x:

σ² = ∑(xi - E(x))².P(xi)

   = 1.81331

(c)  calculate standard deviation of x:

σ = √σ²

σ = √1.831

σ = 1.3539

The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:

P(μ  - σ < x < μ  + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)

                                = P(2.7761 < x < 5.4839)

                                = P(x = 3) + P(x = 4) + P(x = 5)

                                = 0.13 + 0.30 + 0.31

                                = 0.74

Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

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The complete question is-

Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

What is the probability that the number of systems sold is within 1 standard deviation of its mean value?

Answer:

...You get 2,548... :) :)