AD Is Tangent To Circle B At Point C. The Measure Of ABC Is 40. What Is The Measure Of BAC?405090180 (2024)

Answer:

the answer is 10

Step-by-step explanation:

because 3+5+2=10

Answer: Total possible combinations are 30

Step-by-step explanation:

We multiply the amount of books to get our ways to arrange.

3 * 5 * 2

10 * 3

Total possible combinations are 30

The width of the rectangle is 40in.

A rectangle can be divided into two right angles by a diagonal. Then we can use the Pythagorean theorem to find the width.

Here,

Length = a

Width = b

Length of the diagonal = c

The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Therefore,

a² = b² + c²

30² + b² = 50²

900 + b² = 2500

b² = 1600

b = √1600

b = 40in.

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Answer:

y - 10 = - (x + 5)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 2 ← is in slope intercept form

with slope m = - 1

• Parallel lines have equal slopes

the equation of a line in point- slope form is

y - y₁ = m(x - x₁ )

where m is the slope and (x₁, y₁ ) is a point on the line

here m = - 1 and (x₁, y₁ ) = (- 5, 10 ) , then

y - 10 = - 1(x - (- 5) ) , that is

y - 10 = - (x + 5)

The first and second numbers are 4 and 3 respectively.

What is an equation?

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication and division.

Let x be the first number and y be the second number.

The sum of two numbers is 7, hence:

x + y = 7 (1)

The second number is 1 less than the first number. Hence:

y = x - 1 (2)

From both equations, solving simultaneously:

x = 4, y = 3

The two numbers are 4 and 3 respectively.

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The statement "the central limit theorem is a statement about the distribution of the mean of a large enough sample group of answer choices" is True because theorem states that the distribution of the mean of a large enough sample group of random variables will tend to approach a normal distribution, regardless of the underlying distribution of the population.

The Central Limit Theorem states that the sampling distribution of the mean of a large enough sample group of any given population will be approximately normal, regardless of the underlying distribution of the population.

Therefore, it is a statement about the distribution of the mean of a large enough sample group of answer choices. It states that the mean of the answer choices will be closer to the true population mean as the sample size increases. This is because, as the sample size increases, the variability of the sample mean decreases and it will be closer to the true population mean.

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The answers to all parts is shown below.

What is Trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

1. ABCD is Square then

AB = DC

4x - 22 = 14 - 2x

4x + 2x = 14 + 22

6x = 36

x= 6

So, the length of BC is 6 unit.

2. In Rhombus using Angle Sum property

<BAC = 180 - (47 + 90)

<BAC = 43 degree

3. The length of median is 1/2 ( sum of bases)

= 1/2 (13+ 27)

= 1/2 x 40

= 20 unit

4. m< M= m <P

4x = x + 21

4x - x = 21

3x = 21

x= 7

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elgoog it.

Step-by-step explanation:

It is written backwards

The equation of the quadratic function that has the given information can be written in Standard Form as y = x^2 - 4x + 2.

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The height of the woman was found to be 72.01 inches.

To find the height of the woman, you can use the functions G(f) and H(t). To do this, you will need to first solve the equations for f and t, respectively. For G(f):
2.57f + 47.29 = 0
f = -47.29/2.57 = -18.48

For H(t):
2.74t + 61.27 = 0
t = -61.27/2.74 = -22.37

Now, substitute these values into the equation G(f) to get the height of the woman:
G(-18.48) = 2.57(-18.48) + 47.29 = 72.01 inches

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Based on the diagram shown, we can see that quadrilateral WXYZ is inscribed in a circle. Therefore, the sum of opposite angles of the quadrilateral must be equal to 180 degrees.

How to explain the reasoning

Let's consider the exterior angle, ZAW. This angle is formed by extending side WX of the quadrilateral. Therefore, it intersects the circle at point A, creating an angle with its adjacent interior angle, Y.

Now, we can use the fact that the measure of an exterior angle of a polygon is equal to the sum of the measures of its adjacent interior angles. In this case, we have:

mZAW = mX + mY

Also, since opposite angles of an inscribed quadrilateral sum up to 180 degrees, we know that:

mX + mZWX = 180

Rearranging the equation, we get:

mX = 180 - mZWX

Substituting this into our first equation, we get:

mZAW = (180 - mZWX) + mY

Simplifying this equation, we get:

mZAW = mY - mZWX

Since we know that mZWX is an interior angle of the quadrilateral, we can conclude that:

mZAW = mY

Therefore, Karl is correct in claiming that the measure of any exterior angle of the quadrilateral is equal to the measure of the opposite interior angle in the quadrilateral.

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The relationship between two sets of data is called a correlation.

A correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. In the example provided, there is a negative correlation between outdoor temperature and test results, meaning that as one variable increases (outdoor temperature), the other variable decreases (test results).

To calculate the correlation between two sets of data, you can use the correlation coefficient, which is a measure of the strength and direction of the relationship between two variables. The correlation coefficient can range from -1 to 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.

In conclusion, the relationship between two sets of data is called a correlation, and it can be calculated using the correlation coefficient. A negative correlation, such as the one between outdoor temperature and test results in the example you provided, indicates that as one variable increases, the other variable decreases.

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Option A is correct, The y-intercepts are the same, but the rates of change are different.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope intercept form of I is y=6x-1

Now let us find for the 2nd line

The line passing from (1, 0) and (0, -1)

Slope=-1/-1

=1

Now let us find y intercept

0=1(1)+b

b=-1

So the slope intercept form is y=x-1

Hence, By comparing both lines we get to know that the y-intercepts are the same, but the rates of change are different.

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The experimental probability that the next client to get a haircut at Cameron's salon will have blond hair is 4/18, or 22.2%.

What is Probability?

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Answer:

x= 20

Step-by-step explanation:

hope this helps :>

x+10+2x+20=90

x=20

Answer:

The original triangle ABC is represented by the points A(3, 2), B(4, 4) and C(2, 5).

The translated triangle A'B'C' is represented by the points A'(6, 4), B'(7, 6) and C'(5, 7).

The volume of the given prism is 660 mm³.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

The dimensions of small rectangular prism are length=9 mm, height= 3 mm and breadth=5 mm.

We know that, volume of the rectangular prism is Length×Breadth×Height

Here, volume = 9×5×3

= 135 mm³

The dimensions of small rectangular prism are length=15 mm, height= 7 mm and breadth=5 mm.

Here, volume = 15×5×7

= 525 mm³

Total volume = 525+135

= 660 mm³

Therefore, the volume of the given prism is 660 mm³.

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Answer:

x^3 + 2x - 12 = (x - 2)(x^2 + 2x + 8) + 0

Step-by-step explanation:

x^2 + 2x + 8

___________________

x - 2 | x^3 + 0x^2 + 2x - 12

- (x^3 - 2x^2)

________________

2x^2 + 2x

- (2x^2 - 4x)

___________

6x - 12

- (6x - 12)

_________

x^3 + 2x - 12 = (x - 2)(x^2 + 2x + 8) + 0

chatgpt

Answer:

Step-by-step explanation:

The area of a parallelogram is base times height.

In this case it would be:

(3x +1) (5x-4)

Then multiply to simplify.

Use FOIL

15x² - 12x + 5x - 4

Simplify again

15x² - 7x - 4

The interquartile range of the whisker plot is 4.

To find the interquartile range (IQR) and draw a box and whisker plot for the given data set, we must first find the median, lower quartile, and upper quartile.
The median is the middle number in the data set, which in this case is 8. The lower quartile (Q1) is the median of the lower half of the data set, which is 4.5. The upper quartile (Q3) is the median of the upper half of the data set, which is 8.5.
The IQR is the difference between Q3 and Q1, so IQR = 8.5 - 4.5 = 4.

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Therefore, the current height of the bean plant is 165 centimeters.

What is addition?

Addition is a basic mathematical operation that combines two or more numbers or quantities to give a total or a sum. In other words, it is the process of finding the total when two or more values are combined. It is denoted by the plus symbol (+). For example, in the expression 5 + 3, 5 and 3 are the addends, and the sum or total is 8. Addition is one of the four basic arithmetic operations, the others being subtraction, multiplication, and division. It is widely used in many areas of mathematics, as well as in everyday life situations such as counting objects or adding up a shopping bill.

Here,

The current height of the bean plant can be found by adding the growth of 15 centimeters to its previous height of 1.5 meters, after converting meters to centimeters:

1.5 meters = 150 centimeters

Current height = previous height + growth

Current height = 150 cm + 15 cm

Current height = 165 cm

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Answer:

(This is half of the questions more will be done)

Step-by-step explanation:

1) The Answer is 12, based on the given conditions, formulate: 48x(5-3)÷(3+5)

2) The Answer is 24:36, (2/3)=0.66667=x/y

x+y=60

x=60-y

(60/y)-1=2/3

60/y=5/3

y=36

x+36=60

x=24

24:36

3) The Answer is 36, based on the given conditions, formulate: 24x (2+1)÷2

4) The Answer is 32.40, Represent the amounts as a ratio:

Since Andy receives the least, let his amount be 1

Ben's amount is 3 times Andy's, so this will be 3

Claire's amount is 2 times Ben's so this will be 6

So we have: 1:3:6

5) The Answer is 18:12, B = no. of blue marbles (18)

R = no. of red marbles (12)

The ratio should be expressed as follows:

B:R or B/R

18:12 or 18/12

However, in SIMPLEST FORM, the numbers need to be REDUCED by the GCF that they share (i.e. the 2 numbers must be divided by the LARGEST factor (6) that divides evenly into both 12 and 18).

(18/6):(12/6) or (18/6) / (18/12)

The amount that should be invested to total $50,000 in 8 years is $24,278.28.

Find amount which should be invested

To find the amount that should be invested to total $50,000 in 8 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

- A is the final amount

- P is the principal or initial amount invested

- r is the annual interest rate

- n is the number of times the interest is compounded per year

- t is the number of years

In this case, we are given:

- A = $50,000

- r = 11% or 0.11

- n = 4 (since the interest is compounded quarterly)

- t = 8 We need to find P, the amount that should be invested.

Plugging in the given values into the formula, we get: $50,000 = P(1 + 0.11/4)^(4*8)

Simplifying the equation: $50,000 = P(1.0275)^32

Dividing both sides by (1.0275)^32: P = $50,000 / (1.0275)^32 P = $24,278.28

Therefore, the amount that should be invested to total $50,000 in 8 years is $24,278.28.

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Answer:

Graph 3

Step-by-step explanation:

A graph can only be a function if one x has only one y. We can simply use the Vertical line test and know that graph 3 does not represent a function.

Answer:

3

Step-by-step explanation:

All graphs pass the vertical test except for 3.

3 is not a function because 1 single value of x is matched to many values of y.

Answer:

Step-by-step explanation:

Let the first no be x

Second number woud be 35-x

So , second equation would be

4*x - (35-x) = 10

5x-35 = 10

5x = 45

x=9

Second number is 35-9 = 26

Answer:

9, 26

Step-by-step explanation:

x = 1st number

y = 2nd number

x + y = 35 → y = 35 - x

4x - y = 10 substitute y = 35 - x into this equation and solve for x

4x - (35 - x) = 10

4x - 35 + x = 10

5x = 10 + 35

5x = 45

x = 45/5 = 9

Now you can solve for y:

y = 35 - x = 35 - 9 = 26

Do they both open in the same direction and which function is more narrow: A. They both open in the same direction, the function that is graphed is more narrow.

How to determine the direction of the graph of the absolute value function?

By critically observing the graph of the two absolute value function, we can logically deduce that they both open in the same direction because the coefficient of the absolute value term is positive and their functions are both absolute value functions.

In order to determine which absolute value function is more narrow, we would examine the positive side of both absolute value functions and then determine their minimum point and then the slope as follows;

Slope = (7 - 5)/(4 - 3) = 2/1 = 2.

Therefore, the slope of this graph is equal to 3 while the slope of the absolute value function is equal to 2. So, the graph would rise sharper, and its width would be less (more narrow).

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The coordinates of C after the dilation are (3, -1).

To find the coordinates of C after the dilation, we simply multiply each coordinate by the scale factor r.

So, the new x-coordinate of C is 6 * (1/2) = 3, and the new y-coordinate of C is -2 * (1/2) = -1.

Therefore, the coordinates of C after the dilation are (3, -1).

Here is the step-by-step explanation:

1. Start with the original coordinates of C: (6, -2)

2. Multiply the x-coordinate by the scale factor r: 6 * (1/2) = 3

3. Multiply the y-coordinate by the scale factor r: -2 * (1/2) = -1

4. The new coordinates of C are (3, -1).

Note: The question is incomplete. The complete question probably is: Point C (6,-2) is dilated from the origin by scale factor r= 1/2 What are the coordinates of C?

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Yes.

Being quadratic has nothing to do with the quadrants of the x-y graph. It's more related to the geometry of a four-sided shape.

Answer:

The function V(x) = 210x^2 - 4400x + 125000 models the value of a home in terms of the years x after 2020.

To find the vertex of this function, we can use the formula x = -b/(2a) to find the x-coordinate of the vertex, and then plug this value back into the function to find the corresponding y-coordinate.

The quadratic function is given in standard form as V(x) = 210x^2 - 4400x + 125000, so we can see that a = 210 and b = -4400. Using the formula, we have:

x = -b/(2a) = -(-4400)/(2*210) = 10.48 (rounded to two decimal places)

Now we can find the y-coordinate of the vertex by plugging in x = 10.48 into the function:

V(10.48) = 210(10.48)^2 - 4400(10.48) + 125000 = $143,384.8 (rounded to the nearest cent)

Therefore, the vertex of the function is (10.48, 143384.8), and it represents the maximum point on the graph of the function. In terms of the value of the home, this means that the value of the home reaches its maximum at around 10.48 years after 2020, after which the value of the home starts to decrease.

I think that Jefferson's letter is angrier.

Why do I think so?

I think this because you can kind of tell from the first sentences of both letters, Hamilton is kinder when he says, "Sir: --I have the pleasure of your private letter on the 26th of August."

However, Jefferson says something not really rude, but not as respectful than Hamilton to the President. He says, "DEAR SIR, I received your letter of August 23rd."

The two letters in question here is the letters written by both Alexander Hamilton and Thomas Jefferson to the President about the war between France and Britain.

Because he supported America throughout the Revolutionary War, Jefferson supported France. Hamilton supported the British because he believed it would facilitate trade.

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Answer

b

Step-by-step explanationit

ok i know u meant writ a diffrent thing trust me

Answer is C. x < 1

Question: which number line shows the solution of 5x-8<-3

Solve 5x - 8 <-3

Add 8 to both sides to isolate variable

5x -8 +8 < -3 + 8
Simplify

5x < 5
Divide both sides by 5 to solve

5/5 x < 5/5
Simplify

x < 1

x is less than one, so starting at 1, draw your line to the left (less than)