if traingle PAG is comgruent to riangle DEN, use words numbers and or symbols to state two conclsuions that can be made based upon cpctc

Answer:

In general, a relationship f (x) = y is a function only if, for each value of x that you plug into it, you get only one value for y.

Step-by-step explanation:

Sometimes the only way to tell if a given relationship is a function or not is to try various values for x to see if they yield unique values for y.

Answer:

b

Step-by-step explanation:

Answer:

32.4

Step-by-step explanation:

The equation for area of a triangle is a=1/2bh. So all triangles on outside have area of a=1/2x4.5x3.5. Then you multiply what you get times 3 bc there are three triangles. Then you add that number to the area of the inside triangle. Which you find by doing a=4.5x3.9x1/2

Answer:

400 cm³

Step-by-step explanation:

The volume of the given figure can be found by using the composite figures present;

We have two simpler figures combined to form the given figure including;

a) A cube

b) A triangular prism

a) The volume of a cube, \(V_{cube}\) = Length × Breadth × Height

∴ The volume of the cube, V₁ = 6 cm × 8 cm × 5 cm = 240 cm³

b) The volume of a triangular prism, \(V_{prism}\) = Base length × Height × Length

The base length of the triangular prism= 8 cm

The height of the triangular prism = 4 cm

The length of the triangular prism = 5 cm

The volume of the triangular prism, V₂ = 8 cm × 4 cm × 5 cm = 160 cm³

Therefore;

The volume of the figure, V = V₁ + V₂

∴ V = 240 cm³ + 160 cm³ = 400 cm³

The volume of the figure of the finished object, V = 400 cm³.

Answer:

Volume = 200.96 cm³

Step-by-step explanation:

r = 4/2 = 2

Volume = πr²h = (3.14)(2²)(16) = 200.96 cm³

The result of the equation using square roots is x ≈ -18.72 or x ≈ -1.28 (rounded to two decimal places).

To solve the equation using SQUARE ROOTS, we need to use the equation square roots formula, which states that:

If a^2 = b, then a = ±√b.

So, applying this formula to our equation, we get:
x^2 + 20x + 100 = 64
=> x^2 + 20x + 36 = 0 (subtracting 64 from both sides)

Now, we can use the square roots formula to find the values of x:
x = (-20 ± √(20^2 - 4*1*36)) / (2*1)
x = (-20 ± √304) / 2
x ≈ -10 ± 8.72

Therefore, the solutions to the equation are:
x ≈ -18.72 or x ≈ -1.28

Rounding to the nearest hundredth, we get:
x ≈ -18.72 or x ≈ -1.28 (rounded to two decimal places)

Complete Question

Solve the equation using SQUARE ROOTS. Round to the nearest hundredth if needed:

x^2 + 20x + 100 = 64

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Answer:

2x+20

Step-by-step explanation:

Given

Age of Ethen = x

If Raj is 8 years older than Ethen, then;

Raj = x + 8

6 years time

Ethen age = x+ 6

Raj = x+8+6 = x+14

Sum of ages in 6 years time = x+6+x+14

Sum of ages in 6 years time = 2x + 20

Hence the required sum of ages is 2x+20

The support of the association rule is 0.0895. The closest answer choice is (B) 0.0895.

What is Association Rule?

An association rule is a relationship between two or more variables or items that are frequently found together in a dataset. In data mining and machine learning, association rules are used to discover interesting relationships and patterns among large sets of data. Association rules are often expressed in the form "if X, then Y" where X and Y are sets of items or variables, and the rule indicates that there is a strong correlation between X and Y. The strength of an association rule is typically measured in terms of its support and confidence, which are statistical measures that indicate how often the rule is true in the dataset.

According to the given information:

The support of an association rule is defined as the proportion of transactions in the dataset that contain both the antecedent and the consequent of the rule.

In this case, the antecedent is "coffee, ice cream, and chips", and the consequent is not specified. Therefore, we can assume that we are interested in the support of the rule "if a transaction contains coffee, ice cream, and chips, then it also contains [some item]".

The support of this rule is equal to the number of transactions that contain coffee, ice cream, and chips, divided by the total number of transactions in the dataset. Therefore, the support of the rule is:

support = 895 / 10,000

support = 0.0895

Rounding to four decimal places, the support of the association rule is 0.0895. The closest answer choice is (B) 0.0895.

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The support of the association rule is given by option b. 0.0895.

In association rule mining, the two most crucial metrics are support and confidence. Support is a metric for how frequently a specific itemset or association rule appears in the dataset. It is the percentage of transactions that either include the itemset or adhere to the association rule. Support therefore gauges how well-liked an itemset or rule is throughout the dataset.

The support of association is given by the formula:

support = 895 / 10,000

support = 0.0895

Hence, the support of the association rule is given by option b. 0.0895.

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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The Bismarck model relies on social insurance contributions from employers and employees, while the Beveridge model is financed through general taxation.

The Bismarck model and the Beveridge model are two distinct approaches to healthcare and social security systems. While they share similarities in their goals of providing healthcare and social protection, they differ in terms of financing, coverage, and administration.

The Bismarck model, also known as the social insurance model, is named after Otto von Bismarck, the Chancellor of Germany who implemented the system in the late 19th century. It is characterized by mandatory health insurance programs funded by contributions from employers and employees.

The financing is based on a social insurance principle, where the costs are shared among the insured population. The coverage under the Bismarck model is typically universal, encompassing the entire population. Examples of countries following this model include Germany, France, and Japan.

On the other hand, the Beveridge model, named after William Beveridge, the architect of the UK's welfare state, is based on a tax-funded system. It is characterized by a government-funded healthcare system financed through general taxation.

The financing is based on the principle of solidarity, where the costs are borne by the entire population. The coverage under the Beveridge model is also universal, ensuring healthcare access for all citizens. Countries like the United Kingdom, Canada, and Sweden follow this model.

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the given planes are perpendicular to each other.

To determine whether the planes are parallel, perpendicular, or neither, we can examine the normal vectors of the planes.

The given planes can be represented in general form as:

Plane 1: x - y - 8z = 1

Plane 2: 8xy - z = 2

The normal vector of a plane is the coefficients of x, y, and z in the plane's equation.

For Plane 1, the normal vector is [1, -1, -8].

For Plane 2, the normal vector is [0, 8, -1].

Two planes are parallel if their normal vectors are scalar multiples of each other. Two planes are perpendicular if the dot product of their normal vectors is zero.Let's compare the normal vectors:

[1, -1, -8] and [0, 8, -1]

Since the normal vectors are not scalar multiples of each other (none can be multiplied by a constant to obtain the other), the planes are not parallel.

Next, let's calculate the dot product of the normal vectors:

[1, -1, -8] · [0, 8, -1] = (1 * 0) + (-1 * 8) + (-8 * -1) = 0 + (-8) + 8 = 0

Since the dot product of the normal vectors is zero, the planes are perpendicular.

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Answer:

m<YXW = 36 degrees

Step-by-step explanation:

Hi there, Daniel!

To answer this question, the biggest thing you need to know is the definition of the word 'bisect'. To bisect means to cut into equal parts, which means that m<YXV and m<VXW are the same. This is because the problem states that XV bisects <YXW, which means it cuts it in half.

Since the two angles are the same, their equations must equal the same thing. This makes:

3x = 2x + 6

And then from there you subtract 2x from both sides to get x = 6.

But we're not done yet! This is just the X value, and notice how the angles themselves are '3x' and '2x + 6', not just x. All we have to do is multiply x by 6 (you can also plug it into the 2x + 6 equation just to check that it's correct), which gives us 18.

Now, what does the problem ask? It asks us to find m<YXW. For that, we must multiply what we got for m<YXV (18 degrees) by two, since both angles are the same. After doing that, we get 36 degrees, which is our final answer.

Hope this helped!

Here is my work btw:

Answer:

The domain of this function is (-2, 3)

The range of the function is y = (-2)

*im not really that good at math sry if it is wrong! I thought I would help tho. hope i did! Have a great day! : )*

Answer:

mueva la variable al lado izquierdo y cambie su signo, (5 + 2x-5x = -7)

Reúna términos semejantes (-3x = -7-5), luego divida ambos lados de la ecuación por -3

Entonces obtienes x = 4

In english:

Answer: x=4

move the variable to the left side and change its sign, (5 + 2x-5x = -7)

Collect like terms (-3x = -7-5), then divide both sides of the equation by -3

So you get x = 4

Answer:

The last one is incorrect

Step-by-step explanation:

Answer:

The sixth rod is 35.20 cm.

Step-by-step explanation:

Get the total length of the 6 rods.

Total length = 6(44.2cm)

= 265.20 cm

Get the total length of 5 rods

Length of 5 rods = 5(46cm)

=230cm

The length of the sixth rod is the difference between the two.

Length of the sixth rod = 265.20 cm - 230 cm

length = 35.2 cm

Given simplification:

3√7 + 7√63 + (√7/7)

= 3√7 + 7√(9*7) + (√7/7)

= 3√7 + 7*3√7 + (√7/7)

= 3√7 + 21√7 + (√7/7)

= (3+21)√7 + (√7/7)

= 24√7 + (√7/√7)

= (7*24√7 + √7)/7

= (168√7 + √7)/7

= (169√7)/7

Answer:- 3√7 + 7√63 + (√7/7) = (169√7)/7.

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To find the product 3/7 times 4/9, Cameron simplified 3/7 to 1/7 and the multiplied the fraction 1/7 and 4/9 to find the product 4/63....

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y = 4x is the only function that represents the proportionality.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given there are Few functions, we need to find which of the given function is proportional:

Since, We know that only the linear functions that pass through the origin are proportional.

So only function that provides the value of y at x = 0 is 0 will shoe properties of proportionality

Therefore, only function that is proportional is y = 4x.

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Answer:

Step-by-step explanation:

Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.

Answer:

-5

Step-by-step explanation:

Lets break this down,

-8 -(-3)

The -(-3) is like "What is the opposite of -3?" which is 3. so it simplified to -8 + 3. You could also rewrite this as 3 - 8, which is -5. So therefore -5 is the offical answer

Answer:

-5

Step-by-step explanation:

Two negatives being subtracted from each other is the same as a negative being added by a positive. It turns the two negative signs into a plus sign.

-8 - [-3] = -8 + 3

-8 + 3 = -5

hope this helps :)

The simplified form of the given equation is y=x²+2x+1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is y=(x+1)².

Here, by using (a+b)²=a²+2ab+b², we get

y=x²+2x+1²

y=x²+2x+1

Therefore, the simplified form of the given equation is y=x²+2x+1.

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The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.

To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).

Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:

Volume = (1/3) x 16 x 5

Volume = 26.6667 cubic units

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Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

Answer:

x= - 9

Step-by-step explanation:

x = 27 / - 3

x = -9

Hope this helps

Answer:

x=9

Step-by-step explanation:

-3x=27

or, x=27/-3

or, x= -9

The correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

In a circle, the center is located at the midpoint of any diameter. A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, if we are given the endpoints of a diameter, we can determine the center of the circle by finding the midpoint of these endpoints. This means that the x-coordinate of the center will be the average of the x-coordinates of the endpoints, and the y-coordinate of the center will be the average of the y-coordinates of the endpoints.

Option A is not necessarily true because the x-coordinate of the center may or may not be the same as the x-coordinates of the given endpoints.

Option C is incorrect because the center of the circle can be found by determining the midpoint of the diameter.

Option D is not necessarily true because the y-coordinate of the center may or may not be the same as the y-coordinates of the given endpoints.

Therefore, the correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

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Answer:

180-82-27= 71 degrees

Step-by-step explanation:

you just use the triangle sum theorem which states that the interior sum of angles is 180 degrees

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

We are told the focus is at (-3, -5)

Directrix is at x = -7

This is a horizontal parabola and thus the general equation is;

(y - k)² = -4p(x - h)

Where;

(h, x) is the coordinate of the vertex.

The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7

Thus, coordinates of vertex is;

(-7 + (-3))/2, (-5 + (-5))/2

> (-5, -5)

Thus, equation is;

(y - (-5))² = -4p(x - (-5))

(y + 5)² = -4p(x + 5)

Where p is the distance from vertex to directrix. Thus;

p = -(-7 - (-3))

p = -(-7 + 3)

p = 4

Thus;

(y + 5)² = -4(4)(x + 5)

(y + 5)² = -16(x + 5)

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

The solution to the polynomial equation x² – x – 3 = 0 by completing the square method is x = 1/2 ± √(13/4).

To solve the polynomial equation x² – x – 3 = 0 by completing the square method, Bao Yu's first step should be to isolate the first term, x².

Completing the square is a technique used in algebra that's used for solving quadratic equations.

It involves manipulating the quadratic polynomial until the sum of its terms matches a squared expression.

We use the technique of completing the square when we have a quadratic expression in x that cannot be factored and has the leading coefficient as 1.

Now let's discuss the steps of completing the square method to solve the given polynomial equation.

Step 1: First, we need to isolate the first term, x².

So, we will add 3 to both sides of the equation. x² - x = 3

Step 2: Now, we will add the square of half of the coefficient of the x term (which is -1/2) to both sides of the equation. Here, (-1/2)² = 1/4x² - x + 1/4 = 3 + 1/4

Step 3: Next, we can write the left-hand side as a square of a binomial. (x - 1/2)² = 13/4

Step 4: Now, we will take the square root of both sides of the equation. x - 1/2 = ±√(13/4)

Step 5: Finally, we will isolate x by adding 1/2 to both sides of the equation. x = 1/2 ± √(13/4)

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Answer:

d

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

This can be modeled by a division expression. You start with 8 ounces and you want to split it up into 1/2 ounces: \(\frac{8}{\frac{1}{2} }\) When you divide by fractions, you are multiplying by its multiplicative inverse (1/fraction) You get 8*2 and the answer is 16.