Given: segment BD bisects angle ABC and segment BD bisects angle ADC. Prove: segment AD is congruent to segment CD

Answer:

89

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them  together. I hope it helps and I'm not sure what method you would use for this but that's mine.

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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In the chi square, the probability that y = 6.27 is 0.975.

It should be noted that a chi-square statistic is a measure of the difference that is between the observed and expected frequencies of the outcomes of a set of events or variables.

Here, chi-square is used for analyzing the differences in categorical variables, especially those nominal in nature.

From the attached diagram, the probability that y = 6.27 is 0.975.

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The least squares approximating line y=zo + zıx is y = 1.80 - 1.00x.

Least squares is a method used to approximate the line of best fit for a set of data points.

In the first set of data points, (1, 1), (3, 2), (4, 3), (6, 4), the least squares approximating line for this set of data points is y = 0.78 + 0.84x.

For the second set of data points, (2, 4), (4, 3), (7, 2), (8, 1), the process is the same.

The least squares approximating line for this set of data points is y = 2.47 - 0.18x.

The least squares approximating line for the third set of data points, (-1, -1), (0, 1), (1, 2), (2, 4), (3, 6), is y = 0.33 + 1.33x.

The least squares approximating line for the fourth set of data points, (-2, 3), (-1, 1), (0, 0), (1, -2), (2, -4), is y = 1.80 - 1.00x.

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Answer: H = 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of cases needed to laminate the flooring are -

x =  {A[O] + A[L]}/19.63

        Dividend = (Divisor × Quotient) + Remainder.

Given is Michelle plans to install new laminate flooring. Each case of the flooring will cover 19. 63 square feet.

Assume that the total area of the office floor and living room floor be [A]. So -

[A] = A[O] + A[L]

Assume that the total cases of flooring needed will be [x]. Then, we can write -

19.63x = {A[O] + A[L]}

x =  {A[O] + A[L]}/19.63

Therefore, the total number of cases needed will be -

x =  {A[O] + A[L]}/19.63

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The graph of the equation is attached below and this can be determined by using the formula of the volume of the cone and the slope-intercept form of the line

Given :

For cones with a radius of 6 units, the equation V=12h relates the height h of the cone, in units, and the volume V of the con, in cubic units.

The volume of the cone is given by the formula:

v = 1/3. π .r².h

Now, substitute the value of r in the above formula.

v = 12πh

Now, compare this equation with a slope-intercept form which is given by:

y = mx + c

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

From comparing the equation, it can be concluded that:

y = V

x = h

c = 0

m = 12

Now, draw the graph of the line that passes through the origin. The graph is attached below.

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Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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Answer:

the answer would be $124.95

The value of the fraction is 3/-2

A fraction can simply be described as the part of a whole variable, a whole number or a whole element.

The different types of fractions in mathematics are;

From the information given, we have that;

4/-2 - 3/-6

find the lowest common factor

12 - 3/-6

subtract the value, we get;

9/-6

Divide the values into simpler forms

3/-2

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Answer:

x = 11 or x = -1

Step-by-step explanation:

4|x + 6| = 20

4x - 24 = 20

4x = 20 + 24

x = 44/4

x = 11

Or

4x + 24 = 20

4x = 20 - 24

x = -4 / 4

x = -1

Answer:

2+2+28+28=60 is the answer of the perimeter

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The length of the rectangle can be 19 cm, while its width will be 17 cm.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the length of the rectangle be represented by x centimeters. Given the width of a rectangle is 2 cm less than the length. Therefore, the width of the rectangle is (x-2) centimeters.

Since the perimeter of the rectangle should be greater than 28 inches, therefore,

Perimeter of the rectangle > 28 inches × 2.54 = 71.12 centimeters

Now, given the perimeter is greater than 28 inches. Therefore,

2[x+(x-2)] > 71.12

x + (x-2) > 35.56

x + x - 2 > 35.56

2x - 2 > 35.56

2x > 37.56

x > 18.78

x = 19

Thus, the length of the rectangle can be 19 cm, while its width will be 17 cms.

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Answer:

King Leopold became the monarch of Belgium in 1865

Answer:

370.1

Step-by-step explanation:

i just got the answer

Answer:

c

Step-by-step explanation:

According to the NIOSH guidelines, a lifting index (LI) value below 1 is considered acceptable, indicating a low risk of developing work-related musculoskeletal disorders.

In the given scenario, the LI values for the two lifts are calculated as follows:

For the first lift:

LI = 20/12.52 = 1.60

For the second lift:

LI = 20/29.56 = 0.68

Based on these calculations, the second lift with an LI value of 0.68 is acceptable according to the NIOSH guidelines since it is below the threshold of 1.

To reduce the LI value below 1, several changes can be made to the layout and lifting procedure:

Reduce the weight of the castings: If it is possible to use lighter castings, it would decrease the load weight, resulting in a lower LI value.

Modify the work area height: Adjusting the work area height to a lower level, closer to the inspector's body, would decrease the vertical distance of the lift and consequently lower the LI value.

Optimize the horizontal distance: If feasible, reposition the work area closer to the inspector's body to reduce the horizontal distance of the lift, which would contribute to a lower LI value.

By implementing these changes, the new LI values can be calculated using the provided formulas to ensure compliance with the company policy of maintaining an LI value below 1.

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Answer:

its either 5 or 11

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

?

Answer:

Step-by-step explanation:

Answer:

C) \(m =\frac{-8}{5}\)

The slope of the perpendicular line \(m =\frac{-8}{5}\)

Step-by-step explanation:

Explanation:-

Given that the slope of the given line is

    \(m =\frac{5}{8}\)

The slope of the perpendicular line

 = \(\frac{-1}{m}\)

The slope of the perpendicular line

 = \(\frac{-1}{\frac{5}{8} }\)

Final answer

The slope of the perpendicular line

                                          \(m =\frac{-8}{5}\)

Answer:

Step-by-step explanation:

The customers of Rhythm Time, an online music service, downloaded 397,970 songs last year.

Rhythm Time, an online music service, had 278,579 songs downloaded this year by its customers. That figure is 30% less than last year. Last year

We can begin by assuming that the total number of songs downloaded last year was x. According to the problem statement, 278,579 songs were downloaded this year, which is 30% less than last year. We can write it as an equation:x - 0.30x = 278,579 Simplifying, we get:0.70x = 278,579 Dividing both sides by 0.70, we get:x = 397,970Therefore, last year, Rhythm Time's customers downloaded 397,970 songs.

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Answer:I think it is (B)

Step-by-step explanation:

Using proportions, it is found that your cost is of $12,411.

A proportion is a fraction of a total amount.

In this problem, the treatment costs $16,911, with a deductible of $1,000, hence the price is already of $15,911.

The insurance will pay 85% of the remaining cost, or $3,500, whichever is greater, hence:

0.85 x 15911 = $13,524 > $3,500.

Hence, the insurance pays only $3,500, and your cost is given by:

15911 - 3500 = $12,411.

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