△ABC, BD &CE are the altitude of the ide AC & AB and BD=CE. Prove that △BCD≅△CBE

Answers

Answer 1

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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ABC, BD &CE Are The Altitude Of The Ide AC & AB And BD=CE. Prove That BCDCBE
Answer 2

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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ABC, BD &CE Are The Altitude Of The Ide AC & AB And BD=CE. Prove That BCDCBE

Related Questions

A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original

Answers

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16

This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.

The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.

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The number of pages in an Algebra 1 book is 99 less than the number of pages in a geometry book. Write and solve an equation to find the number n of pages in the geometry book. (big ideas)

Answers

On solving the provided question we can say that *629 = n - 99 is an equation. The textbook contains 728 pages*.

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

In other words, the geometry book is 99 pages LONGER than the algebra book, which is 99 pages SHORTER. The solution can be obtained using this equation. I'm sorry, but 530 is not the solution.

629 = n - 99 is an equation. The textbook contains 728 pages*.

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Why infinity is open interval?

Answers

The number line is drawn to find the open end point interval is infinity.

Number Line of an Open endpoint to the endpoint of number line =?

Selection of Open endpoint to the endpoint of the number line is  fit for the following intervals as such determined below :

basically the intervals are mentioned as follow

( ), [ ], ( ], [ )  

An open interval is mentioned (a, b), is an interval that does not contain its endpoints. When an interval involves infinity or negative infinity, hence the following rules for whether it is an open or closed interval. (a, and

(-a , a) are open intervals.

For instance [a,∞) doesn't contain all of its endpoints as mentioned . It's a real number where The interval has only one endpoint - a, so it contains all of its endpoints (however it only has one).

Secondly, the definition forgot to add that (−∞,∞) is also open

Take numbers as follows:

Final Answer  as followed  in intervals

(-2, 2)

[-2, 2]

(-∞, 2]

[2, ∞)

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What is unsolvable problem with an example?

Answers

Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

Define the algorithm.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

The halting problem is one of the most popular unsolved issues. It poses the following inquiry:

Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over

 The halting problem can be demonstrated to be indecidable and so unsolvable.

Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

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Type the correct answer in each box. The coordinates of the point that corresponds to an angle of radians in the unit circle are (, ).

Answers

On solving the provided question, we can say that coordinates of the point in the unit circle  S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] ) => S= ( 0 , -1 )

What is circle?

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

S = (0, -1 )

coordinates of the point in the unit circle

S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] )

S= ( 0 , -1 )

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Triangles a and b are right angled. show that the two shorter sides in triangle a have the same length as the two shorter sides in triangle B
i got 2/4 of the marks pls help

Answers

Answer:

Step-by-step explanation:

Two right-angled triangles are said to be congruent to each other if the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled

Reggie made a scale drawing of a house. In real life, the garage is 3 meters wide. It is 6 millimeters wide in the drawing. What is the drawing's scale factor?

Answers

Answer:

1:50

Step-by-step explanation:

The drawing's scale factor is

1:50

Explanation:

In drawing, width of the garage is 6 cm and in actual width of the garage is 3m or 3×100=300 cm.

Hence, the drawing's scale factor is 6:300 and dividing by 6, it is 1:50

The graph below models the value of a $20,000 car fyears after it was purchased.
20000
18000
16000
14000
12000-
10000
8000
6000
4000
2000-
Dollars
Value of Car
52:25
2 4 6 8 10 12 14 16 18 t
Years
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
A. Each car value y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C.The rate at which car decreases in value is not constant.

Answers

Your answer should be B. Each time, t, is associated with precisely one car value, y.

Does (1, 10) make the inequality y ≤ 5x + 4 true?
yes
no?

Answers

Answer:

No, it is not true

Step-by-step explanation:

y ≤ 5x + 4

We know a point is (1,10), we need to put the 1 in for x and the 10 in for y to see if the inequality is true or not!

10 ≤ 5(1) + 4

10 ≤ 5 + 4

10 ≤ 9

This is not True!

Answer: nope

Step-by-step explanation:

What are the real roots of the equation x2 3 x1 3 − 2?

Answers

The real roots of the equation x^(2/3) + x^(1/3) - 2 = 0 are 1 and -8.

The equation x^(2/3) + x^(1/3) - 2 = 0 does not have any real roots. Since the exponents are not integers, x^(2/3) and x^(1/3) are not defined for negative values of x, and so the equation has no solutions for real values of x.

But,

Let y = x^(1/3)

The equation x^(2/3) + x^(1/3) - 2 = 0 will become y² + y - 2 = 0.

Solving for the roots of this equation,

y² + y - 2 = 0

(y + 2)(y - 1) = 0

y = -2   ;   y = 1

Substitute the value of y and solve for x.

y = x^(1/3)

-2 = x^(1/3)   ;   1 = x^(1/3)

x = -8   ;   x = 1

Therefore, the real roots of the equation is 1 and -8.

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The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?

48
39
57

Answers

Answer:

39

Step-by-step explanation:

A plane slices a double-napped cone parallel to the slanted edge of the cone. Which conic section is formed?
Circle
Ellipse
Hyperbola
Parabola

Answers

It is both of the pair of intersecting lines and degenerate hyperbola.

What is conic section?

A conic section, conic or quadratic curve is a curve formed by the surface of a cone crossing a plane. The hyperbola, parabola, and ellipse are the three forms of conic sections; the circle is a special case of the ellipse, however it was frequently referred to as a fourth type. Parabolas, ellipses, circles, and hyperbolas are the four main forms of conics. Examine the diagrams below to discover how a conic is defined geometrically. The plane does not travel through the vertex of a non-degenerate conic.

Here,

It consists of a pair of intersecting lines as well as a degenerate hyperbola.

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A chord of a circle is perpendicular to a radius at the midpoint of the radius. The ratio of the area of the larger of the two regions into which the chord divides the circle to the smaller can be expressed in the form \frac{a\pi+b\sqrt{c}}{d\pi-e\sqrt{f}}, where a, b, c, d, e, and f are positive integers, a and e are relatively prime, and neither c nor f is divisible by the square of any prime. Find the remainder when the product abcdef is divided by 1000.

Answers

The remainder when 2 is divided by 1000 is 2

Let O be the center of the circle, R be the length of the radius, and let the chord be AB with midpoint M. Let x be the distance from O to M, then the length of the radius OM is R/2 and the length of the chord AB is 2x.

Since the chord is perpendicular to the radius at the midpoint, we know that the radius bisects the chord. Therefore, the two segments MO and MB are congruent and have length x.

The area of the larger region is the area of the sector OMB, which is (1/4) of the area of the circle. The area of the smaller region is the area of the triangle OMA, which is (1/2) of the area of the sector OMA.

The ratio of the larger region to the smaller region is (1/4) : (1/2) = 2 : 1.

So, the area of the larger region is twice the area of the smaller region.

We can see that abcdef = 21111*1 = 2, the remainder when 2 is divided by 1000 is 2. Thus, the answer is \boxed{002}.

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Suppose Johnny applied for a job at companies A and B.

Through extensive research, Johnny determined he has a 60% chance of getting a job offer from company A, a 50%

chance of getting a job offer from company B, and a 30% chance of getting a job offer from both companies A and B.

What is the probability of Johnny not getting a job offer from either company?

Answers

The probability of Johnny not getting a job offer from either company is 0.8

Suppose Johnny applied for a job at companies A and B.

Through extensive research, Johnny determined he has a 60% chance of getting a job offer from company A,

A = 0.6

a 50% chance of getting a job offer from company B,

B = 0.5

and a 30% chance of getting a job offer from both companies A and B.

What is the probability of Johnny not getting a job offer from either company?

Suppose, probability of an event  A occurring is P(A)

and that of is B IS P(B)

P(A) = 0.6

and

P(B)= 0.5

probability of either  or P(AUB)=0.3

Now we need to find the probability of neither  nor, which is

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B)  = P(A) + P(B) -P(A∪B)

             = 0.6 + 0.5 - 0.3

            = 0.8

Now the events are mutually exclusive, so

Therefore, the probability of neither  nor  is 0.8

The probability of Johnny not getting a job offer from either company is 0.8

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Aubrey's Pie Shop recently sold 6 cherry pies and 14 other pies. What is the experimental probability that the next pie sold will be a cherry pie?

Answers

Answer:

Step-by-step explanation:

Aubrey's Pie Shop recently sold [tex]20[/tex] pies in total, [tex]6[/tex] of them being cherry pies, so the experimental probability is [tex]\dfrac{6}{20} = \dfrac{3}{10} = 30\%[/tex] chance of the next one being a cherry pie.

A sine function has the following key features:

Period = 4

Amplitude = 4

Midline: y = 1

y-intercept: (0, 1)

The function is not a reflection of its parent function over the x-axis.

Answers

The sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

What is sine function?

The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths. They are extensively used in all fields of geometry-related science, including geodesy, solid mechanics, celestial mechanics, and many others.

The general sine function is

[tex]y = Asin(b(x+c)+D[/tex]

Where

Amplitude = A

Period = [tex]\frac{2\pi }{B}[/tex]

Phase shift = c

Vertical shift = D

Given:

A = 4 (amplitude)

[tex]\frac{2\pi }{B} = 4[/tex]  (period)

[tex]B = \frac{\pi }{2}[/tex]

Since midline: y = 1

And we know that graph of [tex]4sin(\frac{\pi }{2}x)[/tex], midline to be y = 1.

It must have vertical shift D = 1.

Since, y - intercept (0, 1)

⇒ x = 0, y = 1

⇒ It has no phase shift  ⇒ c = 0

Since it satisfy [tex]y = 4sin(\frac{\pi }{2}(x+c))+D[/tex]

The graph of the sine function is attached below.

Hence, the sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

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Out of 32 student, 18 voted for Christian as president of the students council. If there are 224 students how many students voted for Christian

Answers

Answer:

126

Step-by-step explanation

A track team has 7 people eligible to run the

800-meter run. A team member can only run

the race once, and 4 people are needed to run

the race. How many different ways can the 4

people be selected, if order doesn't matter?

Answers

In 35 differnt ways (Combination) the 4 players can be selected from a team of 7.

What is permutation and Combination ?

Combinations are decisions that are made by choosing some or all of a group of things, regardless of how they are arranged.

Utilizing the combinations formula, it is simple to determine how many distinct groups of r items each may be created from the provided n unique objects. The factorial of n divided by the product of the factorial of r and the factorial of the difference between n and r, respectively, is the formula for combinations.

A permutation is a combination and an ordered arrangement of possible outcomes. For instance, there are 5 chairs, and 3 people should occupy them. There are five different methods to seat the first person, four ways to sit the person after them, and three ways to seat the third. In order to determine the number of configurations for seating 3 people in 5 seats, we thus multiply the alternatives at our disposal.

Permutations are several ways to arrange things in a certain sequence. It may alternatively be stated as the linear reordering of elements in an already ordered collection.

Here we have to select 4 people from a team of 7, so its a combination

So the number of ways are = [tex]\x^{7}C\x_{4} = \frac{7!}{4!\ 3!} = 35[/tex].

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A veterinarian weighs three cats. The
American Shorthair weighs 13.65 pounds.
The Persian weighs 13.07 pounds, and
the Maine Coon weighs 13.6 pounds.
List the cats in order from least to
greatest weight.

Answers

Answer:

Least to greatest.

Persian, Maine Coon, and American Shorthair

Find the surface area, volume, and radius and select all the correct measurements,

Answers

Answer:

surface area ---> i

volume ---> b

radius ---> d

Step-by-step explanation:

surface area= 4πr² =4x3.14x14²=2461.76cm²

volume= (4÷3)πr³= (4÷3)x3.14x14³=11488.21cm³

radius = half the diameter = 14cm

Can you help me with this

Answers

The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:

y = -0.5x + 2.5.

The graph of the linear function is given by the image presented at the end of the answer.

How to define the linear function?

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

m is the slope, representing the rate of change of the output variable relative to the input variable.b is the y-intercept, representing the value assumed by the output variable y when the input variable x assumes a value of zero.

The slope of the function in this problem is given as follows:

m = -1/2 = -0.5

Hence:

y = -0.5x + b.

The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:

1 = -0.5(3) + b

1 = -1.5 + b

b = 2.5.

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Translate and solve: -5 times b is no less than 35.

Note: Write your solution in interval notation,

Answers

The solution in interval notation b ∈ (-∞ , -7)

-5 times b is no less than 35.

5b  ≥ 35

n order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.

-[tex]\frac{5b}{5} = \frac{-35}{5}[/tex]

This can be accomplished if both sides are divided by .

Notice that the inequality sign has changed.

b ≤ -7

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, this is the common factor:5

b ∈ (-∞ , -7)

We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.

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How to determine the number of solutions in a linear system without solving?

Answers

To determine the number of solutions in a linear system without solving it, check their slopes. If the slopes are different, there is one solution; if the slopes are the same but the equations are different, there is no solution; if the equations are exactly the same, the solutions are infinite.

The 3  possible solutions of a system of equations are:

- Unique or one solution

- Infinite solutions

- No solution

In case of   a system of linear equations, we can determine the type of its solution as follows:

- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equations will have one solution.

Example:

y = -3x - 2

5x + 2y = 15

The slopes of the line equations are different, hence the solution is unique

-  If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.

Example:

2x + 2y = 8

y = -x -5

These are parallel lines, hence, there is no solution

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

Example:

2x + 2y = 8

4x = -4y + 16

Those two equations are exactly the same. Hence, the solutions are infinite.

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How many nine-digit numbers can be made using each of the digits 1 through 9 exactly once with the digits alternating between odd and even

Answers

Using combination, 5184 nine-digit numbers can be made using each of the digits 1 through 9 exactly once with the digits alternating between odd and even.

What exactly is a permutation?

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. There is no other way to arrange the components of set A, as you can see.

If the first letter is even, there are 4 first digit possibilities (not 5 because it can't start with 0), 4 third digit possibilities, 3 fifth digit possibilities, etc., making the total 4!

If an odd number is the first letter, there will be 5!*4! different ones.

Add the two together now.

4*4!*4! + 5!*4!=5184

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Angle A and Angle B are complementary angles. The measure of Angle A is twice the measure of Angle B.
Write and equation to represent the complementary angle relationship between Angle A and Angle B. Use the equation to find
the measure of Angle A and B. Show all of your work.

Answers

Answer:

Acc.to question,

A+B=90° (since,they are complementary angles)

or,A+ A/2=90°(since,A is. twice the measure of B)

or,3A/2=90°

or,A=(90°×2)/3

:.A=60°

Also,

B=A/2=60/2=30°

The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w. The force on a sail with an area of 500 ft^2 is 64. 8 pounds when the wind speed is 18 mph. What would be the force for a sail with an area of 250 ft^2 with a wind speed of 35 mph

Answers

Answer:

122.5 pounds.

Step-by-step explanation:

f = kaw^2

So, k = f/aw^2

From the given data:

k = 64.8/(500*18)

  = 0.0004

When a = 250 and w = 35:

f = 0.0004*250*35^2

 = 122.5

knowing the difference between an experimental group and a control group is most relevant to understanding the nature of: group of answer choices random sampling. replication. hindsight bias. independent variables.

Answers

The experimental group is given the experimental treatment, and the comparison group is statistically significant.

Which three attitudes are the basis of the scientific viewpoint?Curiosity, scepticism, and humility are described by historians of science as the three attitudes that form the bedrock of the scientific viewpoint. Larger, more representative sample sizes aid in the production of accurate and valid data.When random sampling is used, every member of the population has an equal chance of being chosen, resulting in the collection of a representative sample. The odds of generalising the study's findings to the population increase with the use of a random sample. The study's margin of error is reduced with higher study sample sizes.) Researcher control over the possibility of reporting false-negative or false-positive findings is made possible by larger sample sizes. Results will be more precisely predicted with a larger sample size.

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dividing decimals up to 2 decimal places
1.0.2÷6.11

Answers

Answer:

its 6.11

6.11 ÷ 1 = 6.11

Calculated to 2 decimal places.

6. 1 1

1 6. 1 1

− 6

0 1

− 1

0 1

− 1

0

What are 3 problem solving skills?

Answers

The major part of problem solving skill are explained below.

In order to find the ways, we must know the definition of problem solving.

The term problem solving is defined as the act of defining a problem; determining the cause of the problem identifying, prioritizing, and selecting alternatives for a solution and implementing a solution.

Therefore, the major skills included in the problem solving are defined as

=> identifying the problem,

=> analyzing possible solutions, and

=> deciding on the best course of action

Basically, this skill is important because it enables us to identify and exploit opportunities in the environment and exert control over the future.

Other that that problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations.

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Additive Relationships

What is the value of y when x=100y=?

Answers

The value of y in the equation is y = x / 100.

How to make a variable the subject of the formula?

Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.

Therefore, let's make y the subject of the formula in the equation x = 100y.

Hence, we will find y in terms of x.

Therefore,

x = 100y

divide both sides of the equation by 100

100y  / 100 = x / 100

y = x / 100

Therefore,

y = x / 100

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35. Solve the following, giving your answer as a fraction in its lowest terms 5 3/4 1 1/2 A forest has not experienced any severe weather changes for several years. The ecosystem supports a stable population of deer. What is the most likely reason for this stability? What i the Matthew Effect? Explain how Gladwell ue the Matthew Effect to explain athletic ucce ociologically rather than individually? You may want to think about the concept of accumulative advantage when reponding to thi quetion The current price of Telecom RSP is $50, and you want to purchase $10,000 of its stock on a 50% margin. The broker call loan rate is 8%. Assuming Telecom pays no dividends, what will be your return on investment if Telecom goes up 10%? What is the minimum price Telecom can hit before you receive a margin call? What did Beowulf realize when he was in Grendel's mother's lair? If you have 20 balls (10 black, 10 white) and two urns, how could you place the balls into the urns so as to maximize your chance of drawing a black ball Solve: 2x - 5 = 4x + 3Important: No spaces in your answer (any spaces within the answer can get the whole answer wrong) I need help.professional?- needed Put the networks below in order according to the geographic distance they cover. Put a one next to the network that covers the largest area, a two next to the one that covers the second largest area, etc.LANWANMAN MATH MATH MATH MATH MATH MATH Please help me solve help? anyone? please Please Help!!!!!!!An empire is defined as a major political unit having a territory of great extent or a number of territories or peoples under a single sovereign authority. In ancient times one would find empires made up of numerous civilizations often conquered or absorbed into and controlled by the empire. Can nationalism exist within an empire, or will nationalism cause an empire to fall? In 2-3 sentences explain how you would correct the example so it no longer contains a circular reasoning Write a letter to editor discussing how trekking may indirectly cause environmental issue what is schur polynomial in numerical analysis. Light from a distant star is focused by the lens onto the retina . With a pupil diameter of 3.0mm, the intensity of light falling on the retina is illustrated by the graph below . The spot illuminated on the retina is about 8micrometers in diameter. When star gazing on a very dark evening, the pupil diameter will expand to much larger than 3.0 mm.a.With an expanded pupil diameter, what will happen to the total amount of light energy reaching the retina?increase,decrease,or stay the same?b. With an expanded pupil diameter, what will happen to the spread of the image on the retina?increase,decrease,or stay the same?c. With a decreased spread in image size, what will happen to the intensity of the central maxima?increase,decrease,or stay the same? ANSWER ALL QUESTIONS 11-20 FOR 50 POINTS AND BRAINLIST11. What belief did Thomas Jefferson have?12. What was the result of Hamilton and Jefferson's differing views?13. What is important about Thomas Jefferson's 1801 inaugural address?14. Why was the ruling of Marbury v. Madison significant?15. Why was the ruling of McCulloch v. Maryland significant?16. Why was the ruling of Cohens v. Virginia significant?17. What was important about the creation of Daniel Boone's Wilderness Road?18. What was important about the Louisiana Purchase?19. What was important about the Lewis and Clark Expedition?20. Why did Native Americans move to the Indian Territory? Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. Use elimination to solve the system of linear equations and determine how much one package of tulips bulbs costs, x, and how much one bag of daffodil bulbs costs, y. Enter your answer as an ordered pair (x,y). Ervin scores half as many points in a game as Larry. If Larry scored x points, how many points did Larry score if Ervin scored 16?