Which of the following statements BEST proves that ∠XWY ≌ ∠ZYW?

A.
If two parallel lines are cut by a transversal, then corresponding angles are congruent.

B.
If two parallel lines are cut by a transversal, then complementary angles are congruent.

C.
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

D.
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Answer:

Step-by-step explanation:

Given equation is,

\(\frac{1}{2}(8x-6)=x+9\)

By distribution property,

4x - 3 = x + 9

By subtraction property of Equality,

4x - x - 3 = 9

3x - 3 = 9

By Addition property of equality,

3x = 3 + 9

3x = 12

By division property of equality,

\(\frac{3x}{3}=\frac{12}{3}\)

x = 4

Answer:

\(y=-x\)

Step-by-step explanation:

The slope-intercept form of a line can be written as \(y=mx+b\), where \(m\) is the slope, \(b\) is the y-intercept, and \((x,y)\) are the coordinates of any point that this line passes through.

Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to \(y=x+2\) will have a slope of \(-\frac{1}{1}=-1\).

Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

\(-2=-1(2)+b, \\b=0\)

Thus, the equation of this line is \(\fbox{$y=-x$}\).

Answer:

300

Step-by-step explanation:

now answer me spanish question

hmmmmajahwiwnejdjdksjsnxnxjdkss

Answer:

12

Step-by-step explanation:

Finding the 'value' means we need to calculate a number answer.

1/8 (x^3 - 4) (t^2 + 8)

Fill in 2 for x and 4 for t.

=1/8(2^3 - 4)(4^2 + 8)

inside of parenthesis we'll work on exponents first.

= 1/8 (8 - 4) (16 + 8)

Still inside of parenthesis, do the subtracting or adding next.

= 1/8 (4) (24)

This is all multiplying.

= 12

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

The horizontal parabola can be related to the functions:

y = √x and y = -√x.

Remember that for a function each input has a single output.

In the case of a horizontal parabola, the general case is:

x = y^2

The problem here is that the input x = 4 can be mapped into two different outputs, that are y = 2 and y = -2, so this is not a function.

Now, this can be related to a function? yes.

We could rewrite:

y = √x

Which is in did a function.

The actual decomposition would be:

y^2 = x ⇒ y = ±√x

Such that:

y = √x and y = -√x

Are functions, but:

y = ±√x and y^2 = x

Are not functions.

y^2 can be related to square root functions.

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Answer: 32%

Step-by-step explanation:

The reason on why this answer is 32% is because in order to calculate joint relative frequency, you must have two values.

The first value is the one the question is asking you about. For this, it's mobile device in online classes, which is 64 on the table. Simply divide this number by the total of the table, which is normally on the bottom right. In this case, it's 200.

Now all that needs to be done is this:

\(\frac{64}{200}\) = 0.32, which is 32%.

The answer is 32%, C.

The joint relative frequency of students who use a mobile device in an online class will be 32% as the "Student who use a mobile device in online class=64 and total students=200".

The ratio of a frequency that is not in the total row or column to the total number of values or observations is known as joint relative frequency. In a two-way frequency table, the marginal frequency is the entry in the "total" for the column and the "total" for the row. These are the frequencies in a given category divided by the total number of data values. The term "joint frequency" refers to the joining of one variable from the row and one variable from the column. The ratio of the frequency in a specific category to the total number of data values is known as joint relative frequency.

Here,

Title                Traditional       Online        Row totals

Computer:        |28|                 |62|              |90|

Mobile device: |46|                  |64|             |110|

Column totals:  |74|                  |126|           |200|

The joint relative frequency of students who use a mobile device in an online class,

Student who use a mobile device in online class=64

Total students=200

64/200=0.32

0.32*100=32%

As "Students who use a mobile device in an online class=64 and total students=200," the joint relative frequency of students who use a mobile device in an online class will be 32%.

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Solution

Answer:

f(x) = (1/7)(7x)

So, f(3) = (1/7)(7*3) = (1/7)(21) = 3

Therefore, the value of f(3) is 3.

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid.

What are the prism and pyramid?

A prism is a three-dimensional shape that has two congruent, parallel faces called bases, and the remaining faces are parallelograms. Prisms are named according to the shape of their base. For example, a triangular prism has a triangular base, and a rectangular prism has a rectangular base.

A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single point called the apex. Pyramids are also named according to the shape of their base. For example, a triangular pyramid has a triangular base, and a square pyramid has a square base.

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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Given statement solution is :-The price of the less expensive car is $31, and the price of the more expensive car is $31 + $4 = $35.

Let's denote the price of the less expensive car as "x" dollars. According to the given information, the more expensive car costs $4 more than the less expensive car, so its price would be "x + $4" dollars.

The owner can buy 5 more of the less expensive cars for $120 than the more expensive car. This means that the price of 5 less expensive cars is $120 more than the price of one more expensive car. Mathematically, we can express this as:

5x = (x + $4) + $120

Now let's solve this equation to find the value of "x":

5x = x + $4 + $120

5x = x + $124

4x = $124

x = $124 / 4

x = $31

Therefore, the price of the less expensive car is $31, and the price of the more expensive car is $31 + $4 = $35.

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Answer:

7

Step-by-step explanation:

You take the corresponding side that you know which is 10.5 and you multiply that by your scale factor of 2/3.

Another name for 10.5 is 10 \(\frac{1}{2}\)  and that can be changed to \(\frac{21}{2}\)

(\(\frac{21}{2}\))(\(\frac{2}{3}\))  The two's cancel out and we are left with \(\frac{21}{3}\)  Which is the same as 7.

By transforming an exponential equation into a linear form using logarithms, it is possible to solve exponential equations with various bases.

The logarithmic function has the condition that logb(ax) = x, where an is any positive number and b is the base of the logarithm. We can identify the exponent and find its value by calculating the logarithm of both sides of the exponential equation.

Take the logarithm of both sides in base b to solve, for instance, the equation bx = a, where b a: logb(bx) = logb(a) => x = logb (a).

Be aware that when the bases are different, we must convert the logarithm to the desired base using special procedures. For instance, where c is a third base, loga(b) = logc(b) / logc(a).

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Answer:

What is the volume of a sphere with a radius of 24 units? A. 92167 units O B, 230477 unite 3 O c. 18A324 units D. 13,8247 units

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

\(0.4 = \frac{8 + x}{25 + x}\)

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

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Answer:

Step-by-step explanation:

sin(45) x sin(60) = 1 - \(\frac{\sqrt{3}}{\sqrt{2}}\)

This equation is false...

sin(45) * sin(60) = 0.612372435

1 - \(\frac{\sqrt{3}}{\sqrt{2}}\) = -0.456475315

Based on the calculations we have rejected the null hypothesis .

Given,

Standard deviation = $ 45

Random sample = 20

Now,

Part 1

Set the null hypothesis and alternative hypothesis,

\(H_{0} : u = 0\\ H_{0} : u > 606.40\)

Part 2

The value of z critical signifies 5% level of significance .

\(Z_{0.05} = 1.65\)

According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .

Part 3

The value of Z can be calculated by the formula,

Z = X - µ/σ/√n

Substitute the values ,

Z = 628.85 - 606.40/45/√20

Z = 1.93

Part 4

From the above calculation the value of Z is greater than the critical value .

Thus we reject the null hypothesis .

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1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

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Answer:

IT IS 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

( 2 , - 2 )

( 3 , - 2 )

m = 0

y = - 2

Answer: To find Jordan's balance after he makes the minimum payment for May, we need to calculate his balance at the end of each month, taking into account his purchases, the interest charged, and the minimum payment made.

In March, Jordan's balance was $628.16 and he made a minimum payment of:

$628.16 x 3.96% = $24.92

His purchases in March totaled $50.81, so his balance after March was:

$628.16 + $50.81 = $678.97

The interest charged in March would be:

$678.97 x (10.59%/12) = $5.72

So his balance after interest was added in March would be:

$678.97 + $5.72 = $684.69

In April, Jordan's balance was $684.69 and he made a minimum payment of:

$684.69 x 3.96% = $27.13

His purchases in April totaled $77.36 + $32.40 + $49.20 = $159.96, so his balance after April was:

$684.69 + $159.96 = $844.65

The interest charged in April would be:

$844.65 x (10.59%/12) = $7.10

So his balance after interest was added in April would be:

$844.65 + $7.10 = $851.75

In May, Jordan's balance was $851.75 and he made a minimum payment of:

$851.75 x 3.96% = $33.77

His purchases in May totaled $25.79 + $79.39 + $79.08 = $184.26, so his balance after May would be:

$851.75 + $184.26 = $1,036.01

The interest charged in May would be:

$1,036.01 x (10.59%/12) = $8.71

So his balance after interest was added in May would be:

$1,036.01 + $8.71 = $1,044.72

Therefore, Jordan's balance after he makes the minimum payment for May would be $1,044.72, which is closest to answer (a) $1,094.10.

The correct answer to this question is option C: f(x) =\(x^2 - 16x + 64\). This is because the expression \(x^2 - 16x + 64\) can be factored as\((x - 8)^2,\) which represents a parabola that opens upwards and has its vertex at the point (8, 0).

The fact that the vertex is a minimum point can be seen by observing that the coefficient of \(x^2\) is positive, which means that the parabola opens upwards. In addition, the squared term in the expression \((x - 8)^2\)ensures that the function is symmetric around x = 8, which means that the vertex is the lowest point on the curve within some neighborhood of x = 8. Therefore, the function f(x) = \(x^2 - 16x + 64\)has a local minimum at the point (8,0).

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Answer:

24

Step-by-step explanation:

GCF means greatest common factor.

Factors of 24:  1, 2, 3, 4, 6, 8, 12, 24

Factors of 48:  1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest common factor between both sets is 24, so the GCF of 24 and 48 is 24.

Answer:

See below

Step-by-step explanation:

I'm not positive that this is right, but I'll try.

No, and no. 6 is not a perfect cube, and that is a multiple of 3.

8 is a perfect cube that is not a multiple of three.

I hope this helps, sorry if I'm wrong.

The relative risk (RR) suggests that the risk of disease among the exposed is not different from the risk of disease among the nonexposed, indicating no association. An RR less than 1 suggests that the exposure might be a protective factor. An RR greater than 1 suggests a positive association between exposure and outcome.

The relative risk (RR) is a measure used in epidemiology to quantify the relationship between exposure to a risk factor and the occurrence of a disease. The RR compares the risk of disease in a group exposed to a certain factor to the risk in a group not exposed to the factor.
When the RR is equal to 1, it suggests that the risk of disease among the exposed group is not different from the risk among the nonexposed group. This indicates that there is no association between the exposure and the outcome.
When the RR is less than 1, such as 0.5, it suggests that the risk of disease among the exposed group is lower than the risk among the nonexposed group. This implies that the exposure might be a protective factor, reducing the risk of the disease.
On the other hand, when the RR is greater than 1, such as 2, it suggests a positive association between the exposure and the outcome. This indicates that the exposure increases the risk of the disease compared to the nonexposed group.
In summary, the relative risk (RR) helps determine the strength and direction of the association between exposure and outcome, with values below 1 suggesting a protective effect, values equal to 1 indicating no association, and values above 1 indicating a positive association.

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sqrt(-49) is not a real number

Square root of any negative number is not a real number

Answer:

r = 8.2

Step-by-step explanation:

5r – 10 = –51

5r = –41

r = 8.2

Answer:

135

Step-by-step explanation:

the triangle is 90-45-45

the square is 90-90-90-90

where the two meet just add 45 + 90

135