The endpoints of diameter in a circle form an angle with point C. What is the measure of angle BCD?

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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Answer:

Step-by-step explanation:

hello : here is an solution

9514 1404 393

Answer:

  y = 6√7

Step-by-step explanation:

Using the geometric mean properties of this geometry, we have ...

  y = √((12)(12+9)) = √(12·21) = √(36·7)

  y = 6√7

Each package has 18 granola bars.

This problem can be solved through a system of linear equations.

Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.

For cafeteria A: \(7x+12=y\)

For cafeteria B: \(3x+84=y\)

Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.

\(7x+12=3x+84\).

\(7x+12=3x+84\)

\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.

\(4x=72\) --> Simplify by solving the substraction.

\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.

\(x= 18\)

\(y=7(18)+12\\ \\y=138.\)

If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.

Answer:

b

Step-by-step explanation:

Given

(8 - j10)(6 + j4) ← expand factors using FOIL

= 48 + j32 - j60 - j²40 [ j² = - 1 ]

= 48 - j28 + 40

= 88 - j28 → b

The value of n(AUB) i.e. union of A and B is 53.

What are Intersections and Unions in Probablity?

The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."

Solution:

Given that,

n(A) = 14

n(B) = 51

n(A∩B) = 12

We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)

Putting the values,

n(AUB) = 14 + 51 - 12 = 53

So, the answer for the value of n(AUB) = 53

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Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

The system of equations has no solution.

Step-by-step explanation:

Let the following system of linear equations:

\(x +2\cdot y + z = 6\) (1)

\(2\cdot x + y + 2\cdot z = 6\) (2)

\(x + y + z = 5\) (3)

Since the quantity of equations and variables are the same, there is only one solution to this system. First, we clear \(x\) in (3):

\(x = 5 - y - z\)

And make substitution both in (1) and (2):

\((5-y-z) +2\cdot y + z = 6\)

\(2\cdot (5-y-z)+y+2\cdot z = 6\)

\(y = 1\) (4)

\(y = 4\) (5)

Which lead to a contradiction, since \(4\ne 5\). Therefore, the system of linear equations has no solution.

a) The given function is \($\frac{x^2-2x+2}{(x-1)^2(x+2)}$\). The series of this function is \($\sum_{n=0}^{\infty}(-1)^n(n+1)x^n$\). Therefore, the series is alternating (-1).

b) The sum of the first four nonzero terms of the series is \($-1x^1+2x^2-3x^3+4x^4$.\)

c) The interval of convergence is \((-2, 1)\). This is because the denominator \($(x-1)^2(x+2)$\) has a zero at \($x=-2$\) and a zero at \($x=1$\), and the function is undefined at these two points. Therefore, the interval of convergence is the open interval  \($(-2, 1)$\).

Convergence is the process of two or more different entities coming together and becoming one. In mathematics, it can refer to a sequence converging to a limit, or the process of a function approaching a finite value as the number of trials approaches infinity. In technology, convergence can refer to the combining of different media types into a single medium, such as the combination of audio, video, and text into a multimedia presentation.

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Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

What are the following??

Step-by-step explanation:

Imma try to help tho

soo like 20$ per game and like 400 games

thats 20$*400=8,000 dollars

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

  (a) -2.3°/min

  (b) -2.9°/min

Step-by-step explanation:

The average rate of change is the ratio of the difference in R values to the difference in the corresponding t values.

(a) m = (157.6 -226.6)/(30 -0) = -69/30 = -2.3 . . . degrees per minute

__

(b) m = (61.6 -119.6)/(70 -50) = -58/20 = -2.9 . . . degrees per minute

Answer:

the answer is $53

Step-by-step explanation:

Answer:

whichever one also says -x

Step-by-step explanation:

parallel lines have the same slope

Answer:

40.82 cm

Step-by-step explanation:

To calculate the circumference, multiply the radius by pi(3.14) by 2 and the radius.

C=2πr

C=2π(6.6)

approximately 40.84

40.82 and 40.84 are very close to one another!

Answer:

m<h=59º

Step-by-step explanation:

126=6x-1+17+5x

126=11x+16

126-16=11x

120-10=11x

110=11x

10=x

6(10)-1=59

Answer:

m<H = 59°

Step-by-step explanation:

Use the theorem on the measure of an exterior angle of a triangle.

5x + 17 + 6x - 1 = 126

11x + 16 = 126

11x = 110

x = 10

m<H = 6x - 1

m<H = 6(10) - 1

m<H = 60 - 1

m<H = 59°

Answer:

A

Step-by-step explanation:

hope this helps

When no number is shown as an index for your radical then 2 is implied as the index.

A radical is a mathematical symbol (√) used to represent the root of a number.

The index of a radical determines the type of root being taken.

When you see the radical symbol (√) without a specific number as the index, it is assumed to have an implied index of 2

The symbol √ represents the square root, which is a specific type of radical with an index of 2.

So, if you see √x or simply √ without a specific number as the index, it implies the square root.

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Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

Answer:

Step-by-step explanation:

Simplify

Answer:

3.553 is the answer.

Step-by-step explanation:

Write it down

Answer:

3.553 is bigger

Step-by-step explanation:

If you look at the whole numbers, they are the same (3). Then, you would go to the tenths place, which is 5. Both number's tenths places are 5. Then, you look at the hundredths place. The first has 4 as its hundredths place. The second number has 5 as its hundredths place. 5 is more than 4, so 3.553 is more than 3.544.

Thus, the total number of employees this international company has is  79,762.

There are three typical types of percentage issues that you could encounter in personal or professional settings. Finding the percentage, the starting number, and the finishing number are a few of them.

All three can be answered by computing for the missing half of the percentage method:

Percentage = (Value / Total value) × 100

Let X be the total number of employees.

Total employees in one country = 26,800.

33.6% of X = 26800

X = 26800 / 33.6%

X  = 26800 / 0.336

X  = 79762

Thus, the total number of employees this international company has is  79,762.

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Complete question:

An international company has 26,800 employees in one country. If this represents 33.6% of the company’s employees, how many employees does it have in total?

A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.

The z-score of a person who scored 300 on the exam, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:

z = (300 - 300) / 40

Simplifying the equation, we have:

z = 0 / 40

Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.

The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.

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Answer:

i dont know what the problem is

Step-by-step explanation:

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

top right graph

Step-by-step explanation:

5y=-10x+20

y=-2x+4