VWX and TUX are equilateral complete proof that UV = TW

are you solving for x?

Answer:

2 x−8=8

1 Let x =8.

2 x 8 - 8 = 8

2 Simplify  2\times 82×8  to  1616.

16- 8 = 8

3 Simplify  16 −8  to 8.

8 = 8

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.

5y + 10 = 28 - y

*Add y to both sides.

6y + 10 = 28

*Subtract 10 from both sides.

6y = 18

*Divide both sides by 6.

y = 3

In triangle EFG, with angle bisector FH and equal lengths for EF and GF, the value of y is 3.

Use the concept of a triangle defined as:

A triangle is a 3-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Given that,

Angle EFG has an angle bisector FH.

EF = GF (the lengths of the corresponding sides of triangle EFG are equal).

EH = 5y + 10 (length of segment EH).

HG = 28 - y (length of segment HG).

To find the value of y,

Start by applying the angle bisector theorem in triangle EFG.

According to the theorem,

The ratio of the lengths of the segments formed by the angle bisector to the corresponding sides should be equal.

Since EF = GF,

Set up the following equation:

EH / HG = EF / FG

Substituting the given values, we have:

\(\dfrac{(5y + 10)}{ (28 - y)} = \dfrac{1} { 1}\)

Cross-multiplying, we get:

5y + 10 = 28 - y

Combining like terms, we have:

6y = 18

Dividing both sides by 6, we find:

y = 3

Therefore, the value of y is 3.

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As the sample size decreases, the confidence interval will get wider. When the sample size is smaller, there is less information available to estimate the population parameter.

This leads to increased uncertainty and wider confidence intervals. With a smaller sample size, there is a greater chance of sampling variability, resulting in a wider range of plausible values for the population parameter.

For Question 27:

To determine which confidence interval suggests that the treatment for men is less effective than for women, we need the actual confidence intervals. The options provided do not include the specific confidence interval values, so we cannot determine the answer based on the information given.

For Question 28:

If a confidence interval represents the difference between two populations and both numbers in the confidence interval are negative, it means that there is a significant difference between the two populations, and the first population is smaller than the second population. The negative values indicate that the difference between the populations is in favor of the second population, as the first population has smaller values.

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Number of ways to choose one red marble or one small marble will be

1,961,256.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.

Now,

Since, A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.

Hence, Total number of marbles = 8 + 6 + 5 + 4

                                                  = 23

Number of red marbles = 8 + 5 = 13

And, Number of small marbles = 5 + 4 = 9

Thus, Number of ways to choose one red marble or one small marble is,

⇒ \(^{23} C_{13} + ^{23} C_{9}\)

⇒ 23! / 13! 10!  +  23! / 9! 14!

⇒ 1,144,066 + 817,190

⇒ 1,961,256

Thus, There are 1,961,256 ways to choose one red marble or one small marble.

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Use substitution to simplify the expression.

pv - 2p + v
(3x + 4)(x + 5) - 2(3x + 4) + x + 5
3x² + 15x + 4x + 20 - 6x - 8 + x + 5
3x² + 15x + 4x + x - 6x + 20 + 5 - 8
3x² + 14x + 17

Answer:

4.5

Step-by-step explanation:

Please let me know if you want an explanation :)

Answer:

Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \(\frac{1}{2}bh\)

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \(\frac{1}{2}*4*2.24 =\) 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2

For the rectangular sections of the roof, area is

A = \(lh\)

where \(l\) is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2

For the bottom face, area is

A = \(lw\)

where \(l\) is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = 20 ft^2

Surface area of the roof of the dog kennel is

8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2

Answer:

read the co ordinates of the curve in the graph

The number of unique ways to complete a quiz with 5 questions and 4 possible answers to each question is \(4^5\), or 1024.

This can be calculated using exponential notation, which states that a number raised to the power of another number is equal to the number multiplied by itself that many times. In this case, 4 to the power of 5 is equal to 4 x 4 x 4 x 4 x 4, or 1024.

In other words, the number of unique ways to answer a quiz with 5 questions and 4 possible answers to each question is equal to 4 multiplied by itself 5 times. This can also be written using the exponential notation as \(4^5\). There are 1024 unique ways to complete a quiz with 5 questions and 4 possible answers to each question.

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Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: \(\frac{10}{6}\)

Proper Fraction: \(1\frac{4}{6}\)

Simplified Proper Fraction: \(1\frac{2}{3}\)

Step-by-step explanation:

\(\frac{5}{6} + \frac{2}{3}\) Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

\(\frac{5*1}{6*1} +\frac{2*2}{3*2}\)

We get...

\(\frac{5}{6} +\frac{4}{6} = \frac{10}{6}\)

Now if you want to leave it as an improper fraction your answer will be \(\frac{10}{6}\). However, if you want you answer to be a proper fraction your answer is \(1\frac{4}{6}\) which can be simplified further to,\(1\frac{2}{3}\).

Whew! What a toughie! We showed that math problem!

Answer:

that's what I got

Step-by-step explanation:

(I also added fraction form)

Answer:

2 people ordered a salad

Step-by-step explanation:

40 people

Chicken Wings = 1/5 of 40

                            1/5 * 40

                             40/5

                             8 people

Hamburger = 3/4 of 40

                      3/4 * 40

                      120/4

                      30 people

30 oredered Hamburger & 8 ordered Chicken Wings.

40 - 38 = 2 Ordered salad.

The probability of a person using option A is 0.67 or 67%.

The probability of a person using option A can be calculated using the failure rates of options A and B. The probability of selecting A is given by the formula:

Probability of A = Failure rate of A / (Failure rate of A + Failure rate of B)

Substituting the given values:

Probability of A = 0.20 / (0.20 + 0.10) = 0.20 / 0.30 = 0.67

Therefore, the probability of a person using option A is 0.67 or 67%.

To calculate the probability of a person using option A, we need to consider the relative failure rates of options A and B. In this case, the failure rate of option A is given as 0.20 (or 20%), and the failure rate of option B is 0.10 (or 10%).

The probability of an event occurring is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is the selection of option A, and the total number of possible outcomes is the combined failure rates of options A and B.

By applying the formula for probability, we divide the failure rate of A by the sum of the failure rates of A and B. This gives us 0.20 / (0.20 + 0.10), which simplifies to 0.20 / 0.30.

Evaluating the expression, we find that the probability of a person using option A is approximately 0.67 or 67%.

This means that if we have a large group of individuals making a choice between options A and B, we can expect around 67% of them to choose option A based on the given failure rates.

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The proportion of defective circulators can be calculated by weighting the defect rates of each company by their respective proportions in the contractor's inventory. Thus, the proportion of defective circulators can be expected to be 0.0065 (0.60*0.005 + 0.40*0.010).Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

To calculate the probability that a defective circulator came from the first company, we can use Bayes' theorem.

Let A denote the event that a circulator is defective, and let B denote the event that the circulator came from the first company.

We want to find P(B|A), the probability that the circulator came from the first company given that it is defective.

This can be calculated using the formula P(B|A) = P(A|B)*P(B)/P(A), where P(A|B) is the probability of a defective circulator given that it came from the first company (0.005),

P(B) is the probability that a circulator came from the first company (0.60), and P(A) is the overall probability of a defective circulator (0.0065).

Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

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about 95% is along the normal

Answer:

6.75m^2

Step-by-step explanation:

The shape is made up of a trapezoid on top and a rectangle on the bottom.

The rectangle's area is easier, so first:

Area_rectangle

= length × width

= 2.5 × .5

= 1.25 m^2

For area of a trapezoid, you need three measures: both bases and the height.

One base is 3m. The other base is the top side of the rectangle, so it is 2.5m.

The height is

2.5 - .5

because the height of the trapezoid is not including the rectangle, so take away .5

Trapezoid's height is 2.5 - .5 is 2.

Area_trapezoid

= 1/2 (base+base)height

= 1/2 (3+2.5)2

=5.5

Area_total

= Trapezoid+rectangle

= 5.5 + 1.25

=6.75m^2

The total area is 6.75square meters.

Answer:

Area = 6.75 meter square.

Step-by-step explanation:

The probability that Andre wins a prize in the carnival game is approximately 21.6%.

To calculate the probability, we need to consider the individual probabilities of making or missing a shot. Andre's regular shooting percentage is 80%, but due to the trick rim, he estimates his shooting percentage as 60%. The probability of making a shot is 0.6, and the probability of missing a shot is 0.4.

To win the prize, Andre needs to make three baskets in a row. Since each shot is independent, we can multiply the probabilities together. The probability of making three shots in a row is 0.6 * 0.6 * 0.6, which equals 0.216 or 21.6%.

Therefore, there is approximately a 21.6% chance that Andre wins a prize if he decides to play the game once.

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Answer:

We can have two cases.

A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.

A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.

Where for a generic function:

y(x) = a*x^2 + b*x + c

The vertex is at:

x = -a/2b

and the maximum value is:

y(-a/2b)

.45 * 120 = 54

.072 * 54 = 3.888

54 + 3.888 = 57.888= $57.89

Answer:

$61.10

Step-by-step explanation:

Original price: $120

50% of 120: $60

(You can either divide $120 in half or do:

120 * 0.50

= 60)

The Helicopter would be $60 at 50% off.

Next:

60 * 0.95 (0.95 comes from 1 - 0.05, which is the 5% off)

= 57

Finally, add the tax:

57 * 1.072

= 61.10

divide both sides by 7

>>>>>> 1 : 3

Answer:

1.3 hours I'm pretty sure

The average velocity from 4 to 8 seconds is given as follows:

v = [position at 8 seconds - position at 4 seconds]/4.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The change in the distance from 4 to 8 seconds is given as follows:

position at 8 seconds - position at 4 seconds

The change in the time from 4 to 8 seconds is given as follows:

8 - 4 = 4 seconds.

Hence the velocity is of:

v = [position at 8 seconds - position at 4 seconds]/4.

The problem is incomplete, hence the general procedure to obtain the average velocity was presented.

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To determine the voltage generated by the electrochemical cell, we can use the Nernst equation. The Nernst equation relates the cell potential (Ecell) to the standard cell potential (E°cell), the gas constant (R), the temperature (T), the Faraday constant (F), and the concentration of the ions involved in the cell reaction.

The Nernst equation is given by:

Ecell = E°cell - (RT / (nF)) * ln(Q)

Where:

Ecell = Cell potential

E°cell = Standard cell potential

R = Gas constant (8.314 J/(mol·K) or 0.08206 L·atm/(mol·K))

T = Temperature in Kelvin

n = Number of moles of electrons transferred in the balanced cell reaction

F = Faraday constant (96,485 C/mol)

ln = Natural logarithm

Q = Reaction quotient (concentration of products / concentration of reactants)

In this case, the electrochemical cell consists of pure lead (Pb) and pure zinc (Zn) immersed in their respective ion solutions. The cell reaction is as follows:

Pb + Pb+2 → Pb2+

Zn → Zn+2 + 2e-

From the balanced cell reaction, we can see that n = 2 (2 moles of electrons transferred).

Given concentrations:

[Pb+2] = 3.0E-3 M

[Zn+2] = 0.3 M

The reaction quotient (Q) can be calculated by dividing the concentration of the products by the concentration of the reactants:

Q = ([Pb2+] / [Zn+2])

Now, we need to find the standard cell potential (E°cell) for the given cell reaction. Look up the standard reduction potentials for the half-reactions involved (Pb2+ + 2e- → Pb and Zn+2 + 2e- → Zn) and subtract the reduction potential of the anode (oxidation half-reaction) from the reduction potential of the cathode (reduction half-reaction).

Using the standard reduction potentials, we can find:

E°cell = E°cathode - E°anode

Now, substitute the values into the Nernst equation and solve for Ecell:

Ecell = E°cell - (RT / (nF)) * ln(Q)

Given that the temperature is 25°C (298 K), we can proceed with the calculations to find the voltage generated by the electrochemical cell.

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Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong

a. the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

a. The current IRR (Internal Rate of Return) on this project can be found by using linear interpolation with x₁ = 7% and x₂ = 8%. Let's calculate it:

We have the following cash flows: Year 0: -150,000 Year 1: 60,000 Year 2: 75,000 Year 3: 90,000 Year 4: 105,000

Using x₁ = 7%: NPV₁ = -150,000 + 60,000/(1+0.07) + 75,000/(1+0.07)² + 90,000/(1+0.07)³ + 105,000/(1+0.07)⁴ ≈ 2,460.03

Using x₂ = 8%: NPV₂ = -150,000 + 60,000/(1+0.08) + 75,000/(1+0.08)² + 90,000/(1+0.08)³ + 105,000/(1+0.08)⁴ ≈ -8,423.86

Now we can use linear interpolation to find the IRR:

IRR = x₁ + ((x₂ - x₁) * NPV₁) / (NPV₁ - NPV₂) = 7% + ((8% - 7%) * 2,460.03) / (2,460.03 - (-8,423.86)) ≈ 7.49%

Therefore, the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

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g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

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Answer:

That would be A = 35.093665 m^2 (or depending on what label youre using)

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

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Keep in mind that if Lourdes is able to pay off her credit card balance at the end of the month, she won't be charged any interest, making the credit card the better option in that case.

To determine whether Lourdes should use a debit card or credit card, we need to consider the ATM fee and the potential interest charges from the credit card.

Step 1: Determine the ATM fee
Find out how much Lourdes would be charged for using the ATM to withdraw cash.

Step 2: Determine the interest rate on the credit card
Check the credit card's terms and conditions to find the annual percentage rate (APR). This will help us calculate the potential interest charges.

Step 3: Calculate the potential interest charges
Assuming Lourdes doesn't pay off the credit card balance by the end of the month, divide the APR by 12 to get the monthly interest rate. Multiply this rate by the $48 grocery cost to find the potential interest charges.

Step 4: Compare costs
Compare the ATM fee and potential interest charges to determine the cheaper option. If the ATM fee is less than the potential interest charges, Lourdes should use her debit card. If the potential interest charges are less than the ATM fee, she should use her credit card.

Keep in mind that if Lourdes is able to pay off her credit card balance at the end of the month, she won't be charged any interest, making the credit card the better option in that case.

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