Can some help me? I have to find all possible solutions to that equation. I already found one thank you

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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Answer:

45

Step-by-step explanation:

1125 students×.04 attrition =45 students lost

Answer:

ariel is incorrect because 2 5/8 is equal to 2.63

Step-by-step explanation:

The correct decimal value is 2.63

We have Ariel who incorrectly said that \(2\frac{5}{8}\)  is the same as 2.58

We have Convert  \(2\frac{5}{8}\)  into a decimal correctly.

The method to convert the mixed fraction to normal fraction is -

\($\frac{y\times a + x}{y}\)  

According to question, we have -

Mixed fraction =  \(2\frac{5}{8}\)  = \(\frac{21}{8}\) = 2.625 = 2.63

Hence, the correct decimal value is 2.63

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The type of sytudy that we have here is the observational study.

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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The Solution set for the given equation is {-0.75+0.43i, -0.75-0.43i,0}

What is a equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. Equations come in a variety of forms, including linear, quadratic, and cubic.

We are given a cubic equation

\(-27v-54v^2-36v^3\)

Equation the equation to zero

\(-27v-54v^2-36v^3=0\\v(-27-54v-36v^2)=0\\36v^2+54v+27=0\\4v^2+6v+3=0\\v=-0.75+0.43i, -0.75-0.43i,0\)

Hence the solution set of the given expression is {-0.75+0.43i, -0.75-0.43i,0}

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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The radius of the circle with given circumference is 13.

What is circumference?

In mathematics, the circumference of any shape determines the path or boundary that surrounds it. In other words, the perimeter, also referred to as the circumference, helps determine how lengthy the outline of a shape is.

We are given that the circumference of a circle is 81.64 miles.

We know that circumference of a circle is given by 2πr.

So, using this we get

⇒ C  = 2πr

⇒ 81.64  = 2 * 3.14 * r

⇒ 81.64  = 6.28 * r

⇒ r  = 13

Hence, the radius of the circle with given circumference is 13.

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Answer:

x = 18

Step-by-step explanation:

So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.

Answer:

3800grams

Step-by-step explanation:

multiply by 1000

Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

Answer: Add 2 to each side

Step-by-step explanation:

9m-2=16

+2 +2

9m=18

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer:

yeah

Step-by-step explanation:

0

Your second impression was "right"; the answer is 36 in one restricted interpretation of the problem, in which a sandwich has precisely one type of bread, one type of meat, and one type of cheese.

The largest possible interpretation is that a sandwich consists of a top bread, 1 to 3 types of meat, 1 to 3 types of cheese, and a bottom bread which could be different from the top slice of bread (but two sandwiches are considered the same if the only difference is turning one upside down). The answer to that problem involves, for example, seven possible combination of meats, and is

(42)bread⋅(23−1)meat⋅(23−1)cheese=6⋅7⋅7=594

If you must use the same type of bread top and bottom the answer is

(41)bread⋅(23−1)meat⋅(23−1)cheese=4⋅7⋅7=396

The total amount of wood that Harry will need for the project is D. thirteen and nineteen twenty fourths feet

From the information illustrated, Henry needs three pieces of wood that have a length of two and three eighths feet and five pieces of wood that are one and one third feet.

The total fraction that's needed will be the addition of the fraction given. This will be:

= (3 × 2 3/8) + (5 × 1 1/3)

= (3 × 19/8) + (20/3)

= 57/8 + 20/3

= 7 1/8 + 6 2/3

= 7 3/24 + 6 16/24

= 13 19/24

Therefore, the correct option is D.

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To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

10 x \(5\frac{1}{3}\) x \(4\frac{1}{5}\) = 224

Step-by-step explanation:

It is B, hope this helps & please give me brainliest.

Answer:

75

Step-by-step explanation:

x = 180 - 105 = 75

Using the exponential growth principle, the population of the country in the next 50 years would be 8074764.08722

The exponential growth can be modeled using the relation :

Substituting the values into the equation, we'll have :

\( f(50) = 3000000(1 + 0.02)^{50} \)

\( f(50) = 3000000(1.02)^{50} \)

\( f(50) = 3000000(2.6915880...) \)

= 8074764.08722

Therefore, the population in the next 50 years would be 8074764.08722

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Answer:

6x-

7y

=

-11

6x-7y=-11

Answer:

Step-by-step explanation:

7+4= 11

Answer:

7+4=11

Step-by-step explanation:

Answer: ($19.8, $20.8)

Step-by-step explanation:

Confidence interval for mean : \(\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}\) , where \(\overline{x}\) = Sample mean, n= sample size, \(\sigma\) = population standard deviation, z* = two tailed critical z-value.

Given:  \(\overline{x}\) = $20.3

n= 2333

\(\sigma\) = $11.3

For  98% confidence,  z* = 2.326

Then, the98% confidence interval for population mean will be:

\(20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)\)

Hence,  the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)

x*7=14

14/7=2

x=2

brainliest please

Answer:

9(7)= 675

4·6·5= 120

Step-by-step explanation:

Hope this helps! :0

When a shape is reflected, it must be reflected over a line

The reflection rule is: \(R_{x = 2}(\triangle D EF) = \triangle D'E'F\)

The coordinates of the preimage are:

D(3,6), E(-4,-3), F(6,1)

The coordinates of the image are:

D'(1,6), E'(8,-3), F'(-2,1)

From the given coordinates, we have the following observations

This is shown as follows:

D(3,6) and D'(1,6)

The y-coordinate is:

\(y = 6\)

The average of the x-coordinates

\(x = \frac{3 + 1}{2}\)

\(x = 2\)

E(-4,-3) and E'(8,-3)

The y-coordinate is:

\(y = -3\)

The average of the x-coordinates

\(x = \frac{-4 + 8}{2}\)

\(x = 2\)

F(6,1) and F'(-2,1)

The y-coordinate is:

\(y =1\)

The average of the x-coordinates

\(x = \frac{6 -2}{2}\)

\(x = 2\)

Since the y-coordinates remains unchanged and the average of the x-coordinates is 2.

Then, we can conclude that the triangle was reflected over line \(x = 2\)

Hence, the reflection rule is:

\(R_{x = 2}(\triangle D EF) = \triangle D'E'F\)

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Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Answer:

To solve this problem, we can use a Venn diagram. We will start by drawing three overlapping circles representing volleyball, football, and tennis teams. The number of students in each team will be written inside the corresponding circle. We also know that 12 play volleyball and football, 5 play football and tennis, and 6 play tennis. Finally, we know that 4 students play all three sports.

Let's start by placing the number 4 in the intersection of all three circles, since they play all three sports.

Next, we can fill in the rest of the diagram using the information we have. We know that a total of 21 students play volleyball, so we can write 4 + 8 = 12 in the intersection of the volleyball and football circles, and 4 + 11 = 15 in the intersection of the volleyball and tennis circles. We also know that 26 students play football, so we can write 4 + 8 = 12 in the intersection of the football and volleyball circles, and 4 + 5 = 9 in the intersection of the football and tennis circles. Finally, we know that 15 students play tennis, so we can write 4 + 11 = 15 in the intersection of the tennis and volleyball circles, and 4 + 5 = 9 in the intersection of the tennis and football circles.

To find the total number of selected students, we can add up all the numbers in the diagram:

Total number of selected students = 4 + 8 + 12 + 5 + 3 + 11 + 15 = 58

Therefore, the total number of selected students in UMK is 58.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ce

Answer:

Vicks monthly interest payment is $91

Step-by-step explanation:

Total: $1800

Down payment: $500    (already paid)

Current balance need to be paid:

$1800 -  $500 = $1300

7% of  $1300 is, 1300 x 0.07 = $91

Answer:

y=-7

Step-by-step explanation:

y=3(-4)+5

y=-12+5

y=-7

Answer:

40 centimeters square.

Step-by-step explanation:

Area= length × width

8×5=40

Have a nice day