Triangles U V W and X Y Z are shown. Angles V U W and Z X Y are congruent, angles U W V and X Z P are congruent, and angles U V W and Z Y X are congruent. The length of side U V is 50, the length of V W is 60, and the length of U W is 40. The length of side Z Y is 48, the length of Y X is 40, and the length of Z X is 32.
Which statement best describes triangles UVW and XYZ?

They are similar and congruent.
They are similar, but not congruent.
They are congruent, but not similar.
They are neither congruent nor similar.

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

it is 82.53 round to 82.50 ithink

Answer:

Equation

Step-by-step explanation:

Because there is only one unknown term in it

I hope it helps

Thank U

"If a figure has four corners, it is not triangular," as opposed to "If a figure doesn't have four corners, it is a triangle." 

If p, then q must follow. 

If q is correct, then p should be true as well. 

If p is not present, then q is not present. 

If it isn't q, it isn't p. 

An examination of all available choices,

a. Because the condition is "triangle" and the conclusion is "it has three sides," it is true. 

b. It is incorrect since the condition and conclusion are inverted. 

c. It's incorrect since a triangle has three sides. 

d. It is incorrect since it is not an if-then form of the statement.

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Answer:

Step-by-step explanation:

_________________________________________________

initial number of sweets               |   18                   |      18

                                                       |                          |

Sue gives Tony x sweets              |   18 - x              |      18 + x

                                                       |                          |

Sue ,eats 5 of her sweets. and   |  18 - x - 5 =       |      (18 + x)/2 =

Tony ,eats half of his sweets        | 13 - x                |     9 + x/2

Answer:

81 inches is 6.75 feet

Step-by-step explanation:

hope this helps

Answer:

6.75

Step-by-step explanation:

Given;

81 Inches to Feet

Note;

Formula of Inches to Feet : divide the length value by 12

Solve;

81/12 = 6.75

Thus, Result of converting 81 inches to feet is 6.75

[RevyBreeze]

The linear equation that shows how the wind power would need to grow to make this goal is y = 25x + 15

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

(x, y) = (0, 15) and (5, 90)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15

Using the other point, we have

5m + 15 = 90

So, we have

5m = 75

Divide by 5

m = 25

So, the equation becomes

y = 25x + 15

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Complete question

Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012, (0, 15) and (5, 90)

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:

7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.

Step-by-step explanation:

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Answer:

B. 56

Step-by-step explanation:

1 cookie - 14 minutes

max. 40 cookies

140-100=40

42+14=56

Answer:

56

Step-by-step explanation:

So what you need to do is add the time for 100 cookies (42 minutes) then you need to add the time to make 40 cookies (14 minutes) so then then answer you will get is you answer those is 42 + 14 = 56 (A) minutes to make 140 cookies.

Answer:

x=50° and y=45°

Step-by-step explanation:

x=QU(90°)-QP(40°)

x=50°

y=SU(90°)/2

y=45°

Answer:

-6273682

Hope this is helpful to you

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a) k must be 0.09 for the table to be a valid probability model. b) The probability that at least one waiter and one chef show up on any given day is 0.97. c) The probability that more chefs show up than waiters is 0.74. d) The probability that more than three staff show up on any given day is 0.84.

e) The expected total number of staff that will show up on any given day is 4.24. f) The probability that three waiters will show up on any given day is 0. g) The probability that two chefs will show up on any given day is 0.09. h) X and Y are not independent.

a) For this to be a valid probability model, the sum of all the entries in the table must be equal to 1. Therefore, we have:

k + 0.03 + 0.03 + 0.03 + 0.02 + 0.03 + 0.05 + 0.04 + 0.01 + 0.01 + 0.06 + 0.67 = 1

Simplifying, we get:

k + 0.91 = 1

Therefore, k = 0.09.

b) The probability that at least one waiter and at least one chef show up on any given day is equal to 1 minus the probability that no waiter or chef shows up. From the table, we see that the probability that no waiter or chef shows up is 0.03. Therefore, the probability that at least one waiter and at least one chef show up is 1 - 0.03 = 0.97.

c) To find the probability that more chefs show up than waiters on any given day, we need to sum up the probabilities of all the cells where the number of chefs is greater than the number of waiters. From the table, we see that there are 3 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 1 and Y = 3 (probability = 0.04)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.03 + 0.04 + 0.67 = 0.74

Therefore, the probability that more chefs show up than waiters on any given day is 0.74.

d) To find the probability that more than three total staff (waiters and chefs) will show up on any given day, we need to sum up the probabilities of all the cells where X + Y > 3. From the table, we see that there are 5 such cells:

When X = 0 and Y = 4 (probability = 0.02)

When X = 1 and Y = 3 (probability = 0.04)

When X = 1 and Y = 4 (probability = 0.05)

When X = 2 and Y = 2 (probability = 0.06)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.02 + 0.04 + 0.05 + 0.06 + 0.67 = 0.84

Therefore, the probability that more than three total staff (waiters and chefs) will show up on any given day is 0.84.

e) To find the expected total number of staff (waiters and chefs) that will show up on any given day, we need to multiply each value in the table by its corresponding number of staff (X + Y) and sum up the results. From the table, we have:

When X = 1 and Y = 0, the expected number of staff is 1.

When X = 1 and Y = 1, the expected number of staff is 2.

When X = 1 and Y = 2, the expected number of staff is 3.

When X = 1 and Y = 3, the expected number of staff is 4.

When X = 1 and Y = 4, the expected number of staff is 5.

When X = 2 and Y = 0, the expected number of staff is 2.

When X = 2 and Y = 1, the expected number of staff is 3.

When X = 2 and Y = 2, the expected number of staff is 4.

When X = 2 and Y = 3, the expected number of staff is 5.

When X = 2 and Y = 4, the expected number of staff is 6.

Multiplying each of these expected numbers by its corresponding probability, we get:

0.09(0) + 0.03(1) + 0.03(2) + 0.03(3) + 0.02(4) + 0.03(1) + 0.05(2) + 0.04(3) + 0.01(4) + 0.01(5) + 0.06(6) + 0.67(5) = 4.24

Therefore, the expected total number of staff (waiters and chefs) that will show up on any given day is 4.24.

f) To find the probability that three waiters will show up on any given day, we need to sum up the probabilities of all the cells where X = 3. From the table, we see that there are no such cells. Therefore, the probability that three waiters will show up on any given day is 0.

g) To find the probability that two chefs will show up on any given day, we need to sum up the probabilities of all the cells where Y = 2. From the table, we see that there are 2 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 2 and Y = 2 (probability = 0.06)

Adding up these probabilities, we get:

0.03 + 0.06 = 0.09

Therefore, the probability that two chefs will show up on any given day is 0.09.

h) X and Y are not independent, as the value of X affects the probabilities in the second column and the value of Y affects the probabilities in the first row. Therefore, the statement "X and Y are independent" is FALSE.

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Answer:

hmm been a long time since I've done this

I think number 2 is 49 and number 1 is 15.9

Answer:

2) 14.7

3) 50

Step-by-step explanation:

2.

21² = 441

15² = 225

441 - 225 = 216

√216 = 14.69 (rounds to 14.7)

3.

14² + 48² = 2500

√2500 = 50

Pythagoras Theorem lol

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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The interval for the possible angle of the ball needed to clear the net is (0° , 15.4°) .

In the question ,

it is given that ,

the equation for the horizontal distance "d" that is travelled by the ball as a function of its velocity "v₀" and angle "θ"  is :

d = 1/32*v₀²*sin(2θ)      ...equation(1)

we have to find the interval of angle for which the ball will clear the net .

If the ball is hit with the velocity of v₀ = 50 feet per second , and d = 40 ft .

substituting these values in the equation(1) ,

we get ,

40 = (1/32)*(50)²*sin(2θ)

Simplifying further ,

we get ,

sin(2θ) = 0.512

So , θ = (30.8/2)° = 15.4°

So , for the tennis ball to clear the net , d > 40 and θ < 15.4° .

Therefore , the required interval is (0° , 15.4°)  .

The given question is incomplete , the complete question is

A tennis ball leaves a racquet and heads toward a net 40 feet away , The height of the net is the same height as the initial height of the tennis ball .

If the ball is hit at 50 feet per second , neglecting air resistance , use d = 1/32*v₀²*sin(2θ) to find the interval of possible angles of the ball needed to clear the net .

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Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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Answer:

49.0809

Step-by-step explanation:

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

40 cubic yards

Step-by-step explanation:

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made so, to take the balance to $282 requires 6.4 years and this can be determined by using the simple interest formula.

Given :

SImple interest formula can be used to determine the total number of years will it take for the balance to be $282.

The formula of simple interest is given by:

\(\rm A = P(1+rt)\)

where A is the final amount, P is the initial principal balance, r is the annual interest rate and t is the time in years.

Now, put the known values in equation (1).

\(\rm 282 = 250(1+0.02t)\)

\(\rm 282=250+5t\)

32 = 5t

t = 6.4 years

So, 6.4 years will it take for the balance to be $282.

So, the graph correct graph is shown by option D).

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Answer:

D

Step-by-step explanation:

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

no clue and I'm sorry I hate when others do this

Answer:

On the y axis

Step-by-step explanation:

Given

\((x,y) = (0,1)\)

Required

Determine the location of the point

\((x,y) = (0,1)\)

This implies that;

\(x = 0\)

\(y = 1\)

For any given point

Where \(x = 0\) and \(y \ne 0\)

It means that the point lies on the y axis.

See attachment for further explanation