In Triangle ABC, A = 50, A = 11, And B = 14. (a) Show That There Are Two Triangles, ABC And A1B1C1, That (2024)

Answer:

Step-by-step explanation:

a coordinate plane has given a coordinate to each an every point we draw on that. So when we have to find the radius of this circle , we have to find a pair of coordinates.

So I am taking these coordinates; (0,3) and (0,7)

So the radius = 7-3= 4 units

The length of the diagonal from L to N is approximately 60.8, and the length of the diagonal from M to O is approximately 47.0.

How to determine the lengths of the diagonals of rectangle LMNO

To find the lengths of the diagonals of rectangle LMNO, we first need to find the length of MN and LO.

Since LMNO is a rectangle, we know that opposite sides are congruent, so LN = MO and LO = MN.

Given that LN = 4x - 17 and MO = 2x + 13, we can set them equal to each other and solve for x:

4x - 17 = 2x + 13

2x = 30

x = 15

Now that we know x, we can find LN and MO:

LN = 4x - 17 = 4(15) - 17 = 43

MO = 2x + 13 = 2(15) + 13 = 43

Therefore, MN = LO = 43.

To find the length of the diagonals, we can use the Pythagorean theorem. Let's call the diagonal from L to N d1, and the diagonal from M to O d2:

d1^2 = LM^2 + LN^2

d1^2 = MN^2 + LN^2

d1^2 = 43^2 + 43^2

d1^2 = 3698

d1 ≈ 60.8

d2^2 = MO^2 + LM^2

d2^2 = MN^2 + LM^2

d2^2 = 43^2 + 18^2

d2^2 = 2209

d2 ≈ 47.0

Therefore, the length of the diagonal from L to N is approximately 60.8, and the length of the diagonal from M to O is approximately 47.0.

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Among the given options, the number of trials that comes closest to a large number is 200 trials (option D). Therefore, we would expect the experimental probability to be closest to 1/8 after 200 trials.

What is probability?

The probability of randomly choosing the number 5 from the bag of 8 cards is:

P(choosing 5) = number of 5 cards / total number of cards

Since there is only one card numbered 5 in the bag, the probability of choosing the number 5 is 1/8.

The experimental probability of choosing the number 5 after "n" trials can be calculated by counting the number of times the number 5 is chosen in "n" trials and dividing by "n".

For example, after 50 trials, we expect to choose the number 5 approximately:

P(choosing 5 after 50 trials) = number of times 5 is chosen in 50 trials / 50

We can simplify this expression as:

P(choosing 5 after 50 trials) = (1/8) x number of times 5 is chosen in 50 trials

Similarly, we can calculate the experimental probability for 100, 150, and 200 trials:

P(choosing 5 after 100 trials) = (1/8) x number of times 5 is chosen in 100 trials

P(choosing 5 after 150 trials) = (1/8) x number of times 5 is chosen in 150 trials

P(choosing 5 after 200 trials) = (1/8) x number of times 5 is chosen in 200 trials

To determine which number of trials would give us the experimental probability closest to 1/8, we need to consider the law of large numbers, which states that as the number of trials increases, the experimental probability approaches the theoretical probability.

Therefore, we would expect the experimental probability to be closest to 1/8 after a large number of trials. Among the given options, the number of trials that comes closest to a large number is 200 trials (option D). Therefore, we would expect the experimental probability to be closest to 1/8 after 200 trials.

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Answer
#4 = 153.9
#5 = 452.3

Area of a circle = Pi x radius squared

#4 Given radius of 7

Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86
Round to nearest tenth
Area = 153.9

#5 Given radius of 12

Area = 3.14 x 12^2
Area = 3.14 x 144
Area = 452.26
Round to nearest tenth
Area = 452.3

The simplified form of the given expression, can be found to be A. x² + 7x + 5.

How to find the simplified expression ?

Simplified expressions are algebraic expressions that have been reduced to their simplest form by applying the rules of arithmetic and algebra.

To simplify the expression, we add the corresponding terms from both expressions:

(-3x² + 2x - 4) + (4x² + 5x + 9)

Combine the x² terms: -3x² + 4x² = 1x² (or simply x²)

Combine the x terms: 2x + 5x = 7x

Combine the constants: -4 + 9 = 5

So, the simplified expression is:

x² + 7x + 5

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Answer:

294.7 mL

Step-by-step explanation:

You want to know the volume (x) in mL of 0.5% solution to be added to 100 mL of 2% solution to make a mix that has a concentration of 0.88%.

Setup

The given equations seem to be missing something. We want ...

100(0.02) +x(0.005) = (100 +x)(0.0088)

Solution

We like to play with larger numbers, so we'll multiply this equation by 100 as we simplify it.

200 +0.5x = 88 +0.88x

112 = 0.38x . . . . . . . . . . . . . subtract 88+0.5x

294.7 = x . . . . . . . . . . . . divide by 0.38

You must add approximately 294.7 mL of 2% solution.

Answer:

d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

B

Step-by-step explanation:

we cannot simply write equation 5c + 3d as 8c, 8d, or 8cd.

Explain variable

A variable in mathematics is a symbol or letter that is used to indicate a quantity in a mathematical statement or equation that can have many values. It is a symbol that may be used to represent an arbitrary or undefined integer in algebraic expressions and equations.

In the equation 5c + 3c = 8c, we can combine the two terms on the left side because they have the same variable (c) and the same exponent (1).

However, in the expression 5c + 3d, the two terms have different variables (c and d) and cannot be combined in the same way. Therefore, we cannot simply write 5c + 3d as 8c, 8d, or 8cd.

If we want to simplify the expression 5c + 3d, we can only write it in its simplest form or factor it further if possible.

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The cash collection from customers which adds the change in accounts receivable to the sales for the year 2014 is $749,000. Option C is the correct answer.

To determine the cash collected from customers during 2014, we need to find out the change in accounts receivable from the beginning to the end of the year.

The change in accounts receivable is calculated as follows:

Change in accounts receivable = Accounts receivable, December 31, 2014 - Accounts receivable, December 31, 2013

= $63,000 - $67,000

= -$4,000

The negative sign indicates a decrease in accounts receivable, meaning that cash was collected from customers.

Now, to find the cash collected from customers, we need to add the change in accounts receivable to the sales for the year:

Cash collected from customers = Sales - Change in accounts receivable

= $745,000 - (-$4,000)

= $749,000

Therefore, the answer is C. $749,000.

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The question is -

Mallick Corp. reported the following information for 2013 and 2014.

Accounts receivable, December 31, 2013, $ 67,000

Accounts receivable, December 31, 2014, 63,000

Sales (all on credit) -- 2014 745,000

How much cash was collected from customers in 2014?

A. $741,000

B. $745,000

C. $749,000

D. $753,000

we do not have convincing statistical evidence that women pay more than men for the same transmission repair

How to determine if data provide convincing statistical evidence that women pay more than men for the same transmission repair

To determine whether the data provide convincing statistical evidence that women pay more than men we do not have convincing statistical evidence that women pay more than men for the same transmission repair for the same transmission repair, we can perform a hypothesis test.

Null hypothesis: The mean repair cost for women is the same as the mean repair cost for men.

Alternative hypothesis: The mean repair cost for women is greater than the mean repair cost for men.

We can use a two-sample t-test for the difference in means, assuming equal variances.

The test statistic is given by:

t = (xbar1 - xbar2) / (s_p * sqrt(1/n1 + 1/n2))

where xbar1 and xbar2 are the sample means, s_p is the pooled standard deviation, and n1 and n2 are the sample sizes.

The degrees of freedom is given by:

df = n1 + n2 - 2

Using the data given, we have:

xbar = 2542.86, xbar2 = 2469.29

s1 = 691.27, s2 = 599.77

n1 = n2 = 7

First, we can calculate the pooled standard deviation:

s_p = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2) / (n1 + n2 - 2))

s_p = sqrt(((6)*691.27^2 + (6)*599.77^2) / (7 + 7 - 2))

s_p = 644.47

Then, we can calculate the t-statistic:

t = (xbar 1 1 - xbar2) / (s_p * sqrt(1/n1 + 1/n2))

t = (2542.86 - 2469.29) / (644.47 * sqrt(1/7 + 1/7))

t = 0.97

Using a t-distribution table with df = 12 and a significance level of 0.05, the critical value for a one-tailed test is 1.7823. Since our t-statistic is less than the critical value, we fail to reject the null hypothesis.

Therefore, we do not have convincing statistical evidence that women pay more than men for the same transmission repair

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Answer:

if no initial high im guessing 4.8 weeks

Step-by-step explanation:

4.8 divied by .8 = 6

Answer:

7 week 3 days and 12 hour

Step-by-step explanation:

x is the required week and to calculat it

1st for 1 week= o.8 inch

x = 6 inch

2nd u solve it after u solve it u get 7.5 but week dosen't said by decimals so u will multiply 0.5 by days of the week which is 7 .

3rd u will get 3.5 as we said before for days we can't use decimals so yo will multiply 0.5 by hour which 24 then u will get 12 . so the answer is 7 week 3 days and 12 hour .

Before proving that a shape is a rectangle or a rhombus, you must first prove that it is a parallelogram by showing that its opposite sides are parallel and then use specific properties to prove its rectangle or rhombus nature.

Before proving that a given shape is a rectangle or a rhombus, you must first prove that it is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel to each other. To prove that a shape is a parallelogram, you can show that its opposite sides are parallel by using the slope formula or by showing that the opposite sides have the same length and are parallel to each other.

Once you have established that a shape is a parallelogram, you can then proceed to prove whether it is also a rectangle or a rhombus. To prove that a shape is a rectangle, you must show that it is a parallelogram with four right angles. To prove that a shape is a rhombus, you must show that it is a parallelogram with four sides of equal length.

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To prove that a quadrilateral is a rectangle or a rhombus, you must first establish some key properties. For a rectangle, you need to prove that it has four right angles and opposite sides are parallel. For a rhombus, you must demonstrate that all four sides are of equal length and opposite sides are parallel.

Before proving that something is a rectangle or a rhombus, you must first prove that it is a parallelogram. This means showing that opposite sides are parallel and congruent in length. Once this is established, you can then prove additional properties to determine whether the shape is a rectangle (where all angles are 90 degrees) or a rhombus (where all sides are congruent).
To prove that a quadrilateral is a rectangle or a rhombus, you must first establish some key properties. For a rectangle, you need to prove that it has four right angles and opposite sides are parallel. For a rhombus, you must demonstrate that all four sides are of equal length and that opposite sides are parallel. Once these properties are verified, you can confidently classify the shape as a rectangle or a rhombus.

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To find D(15), we simply substitute t = 15 into the function:

D(15) = 2,280 - 60(15)

D(15) = 2,280 - 900

D(15) = 1,380

Therefore, when the Chang family has been driving for 15 hours, they are 1,380 miles away from home.

Interpreting this result in the context of the problem, we can say that the family has made good progress on their trip and has covered a distance of 1,380 miles from home.

Answer: by watching videos

Step-by-step explanation:

Answer: Watch a video or do your best to scroll down as soon as the website loads. The scrolling worked for me before but you get about 5 seconds before you can't see it anymore.

Step-by-step explanation:

Answer: 112

Step-by-step explanation:

To find the discriminant of a quadratic equation in the form of y = ax^2 + bx + c, where a, b, and c are constants, we can use the formula:

Discriminant = b^2 - 4ac

In this case, the quadratic equation is y = -x^2 - 6x + 19. So, we can identify the coefficients:

a = -1

b = -6

c = 19

Then, we can substitute these values into the formula for the discriminant:

Discriminant = b^2 - 4ac

= (-6)^2 - 4(-1)(19)

= 36 + 76

= 112

Therefore, the discriminant of the quadratic equation y = -x^2 - 6x + 19 is 112.

a) The conjugate of the denominator is given as follows: 2 - 14i.

b) The division has the result given as follows: 0.375 - 1.15i.

What is a complex number?

A complex number is a number that is composed by a real part and an imaginary part, as follows:

z = a + bi.

In which:

a is the real part.b is the imaginary part.

The division for this problem is given as follows:

(16 - 3i)/(2 + 14i).

For the conjugate of the denominator, we keep the real part, changing the sign of the imaginary part, hence it is given as follows:

2 - 14i.

Hence we can solve the division multiplying by the conjugate, considering that i² = -1, as follows:

(16 - 3i)/(2 + 14i) x (2 - 14i)/(2 - 14i) = (32 - 224i - 6i + 42)/(4 + 196)

(16 - 3i)/(2 + 14i) x (2 - 14i)/(2 - 14i) = (74 - 230i)/200

(16 - 3i)/(2 + 14i) x (2 - 14i)/(2 - 14i) = 0.375 - 1.15i.

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The container can contains 3,000 pounds of chemicals.

How many pounds can the container hold?

One cubic foot of a chemical weighs 50 pounds which means 1 ft³ of chemical = 60 pounds

We must find how many pounds in the container whose dimension 6 ft, 4 ft and 2.5 ft. So, the l = 6 ft, b = 4 ft and h = 2.5 ft.

Volume of box = L*B*H

Volume of box = 6 x 4 x 2.5

Volume of box = 60 ft³

From 1 ft³ of chemical = 60 pounds; then, the 50 ft³ of chemical will be:

= 50 x 60

= 3,000 pounds

Full question "One cubic foot of a chemical weighs 60 pounds. How many pounds of the chemical can a container with the dimensions shown hold? The base is 6, the width is 4, and the height is 2.5"

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If one zero of the polynomial 3x^2 + 8x + k is the reciprocal of the

other, then k = 3 by applying product of roots formula.

The quadratic polynomial is 3x^2 + 8x + k.

Let the roots of 3x^2 + 8x + k be m and n where m and n are reciprocal of each other. Therefore, n = 1/m

Thus, the product of roots is = m*n = m*(1/m) = 1 ____(1)

The general equation of a quadratic equation can be written as,

ax^2 + bx + c = 0

where a and b are coefficients of x^2 and x respectively and c is a constant term.

From product of roots formula we know that,

Product of roots =constant term/ coefficient of x^2 = c/a

Therefore, for polynomial is 3x^2 + 8x + k we get,

Product of roots = k/3 ____(2)

From equating equation (1) and (2) we get,

k/3 = 1

⇒ k = 3

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The given question is incomplete, the complete question is

"If one zero of the polynomial 3x^2+8x+k is the reciprocal of the other, then find the value of k."

The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.

Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.

Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.

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Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

Explain about the slope of function:

Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.

Given data:

Number of volume read by Eva = 4Rate of reading by Eva = 2 volume per weekNumber of volume read by Maria = 0Rate of reading by Maria = 4 volume per week

Now,

Let the number of weeks at which both read the equal number of volume be x.

Total number of volume be y

So,

For Eva: y = 4 + 2x

For Maria: 0 + 4x

Equating both equations:

4 + 2x = 4x

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Number of volumes read by each girl:

For Eva: y = 4 + 2(2)= 8

For Maria: 0 + 4(2) = 8

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

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Answer:

A full-time employee at a large company who has been there for years would typically have the best employee benefits.

Large companies often have more resources to provide extensive employee benefits packages, including health insurance, retirement plans, paid time off, and other perks. Full-time employees who have been with the company for years may be eligible for additional benefits, such as higher matching contributions to retirement plans and increased vacation time.

New hires at both small and large companies may not have access to as many benefits initially, as they may need to work for a certain period before becoming eligible. Part-time employees may also have limited access to benefits, depending on the company's policies.

Overall, the length of time an employee has been with the company and the size of the company are two important factors in determining the quality and quantity of employee benefits.

answer

as we all know volume is equal to length times width times height therefore to get you answer you have to multiply all the three giving measurements the answer that you get you are supposed to round it to the nearest to decimal places when you say around it off to the nearest two decimal places it means that they need to be too this two numbers after the coma

The graph shown in the equation y = - 2x - 4 is the graph that corresponds to that equation. The answer is option (B).

What is graph?

A data structure called a graph is used to show the mathematical connection between two or more objects. It is made up of nodes and edges, where nodes stand in for individual things and edges for the connections between them. In computer science, graphs are used to solve a variety of issues, including finding the shortest path between two points and figuring out whether a graph contains cycles. In addition, social networks, transportation networks, and many other kinds of networks can all be represented using graphs.

Option B's graph is the one that corresponds to the equation y = - 2x - 4.

The following is how the equation is written in slope-intercept form:

It is -2 degrees.

-4 is the intercept.

This shows that the slope of the graph is negative and that the trend line crosses the y axis at a negative four-degree angle.

The only graph with a negative slope and a -4 intercept is the one for option B.

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Complete question attached below,

Answer:

21. x=70

22. x=15

*Not sure what the red arc is, but I found the value of x for both 21 and 22*

Step-by-step explanation:

Let's start with 21 first.

Line AB is a straight line, meaning the arc length of AB is 180 degrees. So,

(2x-30)+x=180

let's solve:

3x-30=180

3x=210

x=70

I'm not sure what the red arc is, so I can't help you there.

Next, 22.

All the arcs in a complete circle need to add up to 360 degrees, so:

4x+6x+7x+7x=360

simplify first:

24x=360

let's solve:

x=15

Again, not sure where or what the red arc is, so can't help again. I hope that the x values help.

The first statement, "Commutative states that the grouping of three terms being added does not affect the result" is referring to the commutative property of addition.

The solution to the aforementioned question

The first statement, "Commutative states that the grouping of three terms being added does not affect the result" is referring to the commutative property of addition.

The second statement, "Distributive states that the order of two terms being added may be switched which does not affect the result" is referring to the commutative property of multiplication.

The third statement, "Associative states that the multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products" is referring to the associative property of multiplication.

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According to the given information, the perimeter of the given right-angle triangle is 30ft.

What is Pythagoras' Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

According to the given information:

We can use the Pythagorean theorem to find the length of the missing side of the right triangle, BC:

[tex]BC^2 = AB^2 - AC^2\\BC^2 = 13^2 - 12^2\\BC^2 = 169 - 144\\BC^2 = 25[/tex]

BC = 5

Now that we know all three sides of the triangle, we can find the perimeter by adding them together:

Perimeter = AB + AC + BC

Perimeter = 13 + 12 + 5

Perimeter = 30

Therefore, according to the given information, the perimeter of the given right-angle triangle is 30ft.

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The median length of time required to review an application is 105 minutes.

To find the median, the data needs to be arranged in order from least to greatest: 19, 48, 140, 220.

Since there is an even number of data points, the median is the average of the two middle values, which in this case are 48 and 140. Adding them together and dividing by 2 gives 94, which is less than the next highest value of 220.

Therefore, the median length of time required to review an application is 105 minutes.

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Answer:

1) 18 Red balls

2) 12 blue balls

3) [tex]\frac{5}{3}[/tex] green balls to red balls

Step-by-step explanation:

R B G

3:2:5

3+2+5 = 10

60/10 = 6

to find the number of red balls simply do

3 * 6 = 18

to find the number of blue balls do

2 * 6 = 12

to find the number of green balls do

5 *6 = 30

the ratio of green/red same as the original

5/3

The two questions should you ask are:

What is the smallest number among the values (a, b, c, and d)What is the largest number among the values (a, b, c, and d)

Why ask the question above?

The given answers to the above questions, one can be able to know the ranges of values that the four numbers have, as well as their relative positions.

In the event that we know the smallest and biggest numbers, we can be ready to mark those points on the number line and after that put the other two numbers in between them agreeing to their relative positions.

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