what is the measure of angle B? similar triangles

Answer:

(a)The solution set is: \(x \in [6, \infty) \forall x \in R\)

(c) \(6 \leq x\)

Step-by-step explanation:

Given the inequality: \(12+\dfrac{11}{6}x\leq 5+3x\)

We solve by collecting like terms

\(12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6\)

The solution set is therefore: \(x \in [6, \infty) \forall x \in R\)

Logan had approximately 4 appointments.

Let's denote the number of appointments Logan had as 'x'.

The equation representing Logan's profit can be expressed as follows:

Profit = Revenue - Expenses

and, Revenue = Total amount earned from appointments + Tips

Expenses = Rental fee per appointment

Given that

Logan charged $55 per appointment and received $35 in tips.

So, the revenue from each appointment would be $55 + $35 = $90.

As, the expenses per appointment would be the rental fee of $10.

Therefore, the equation becomes:

Profit = (Revenue per appointment - Expenses per appointment) * Number of appointments

350 = (90 - 10) *x

350 = 80x

x = 350 / 80

x ≈ 4.375

Therefore, Logan had approximately 4 appointments.

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100x + 200y < 3100 inequality can be used to describe the situation.

According to the question

Dixon orchards has purchased land on which to plant lime and orange trees.

Each lime tree requires 100 square feet of area.

Each orange tree requires 200 square feet of area.

Dixon orchards determines that they have no more than 3,100 square feet of land on which to plant the lime and orange trees.

If x represents the number of lime trees and y represents the number of orange trees.

Inequality:

lime tree requires 100 square feet of area that means100x

orange tree requires 200 square feet of area that means 200y

They have no more than 3,100 square feet of land

Rewrite the inequality

100x + 200y < 3100

Therefore,

100x + 200y < 3100 inequality can be used to describe the situation.

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Answer:

28:49

Step-by-step explanation:

4:7 is equal to 11 total marbles and if there are 77 you would multiply each number by 7

Answer:

Step-by-step explanation:

formula

Sin Ф = opposite / hypotenuse

where Ф = 33

opposite = 52

plugin values into the formula:

sin (33) = 52 / h

cross multiply:

sin(33) h = 52

simplify:

h = 52 / sin(33)

h = 95.476

therefore, the answer is D.

Answer:

The rigid transformation that takes AEFB to CFED can be described as a reflection across line EF, or a rotation of 180 degrees counterclockwise or clockwise around point G1.

Since trapezoid AEFB is congruent to trapezoid CFED, we can transform AEFB onto CFED using a rigid transformation. Since G is the midpoint of segment E F D E B C, it is the center of rotation or the point of reflection.

Option a is correct because reflecting AEFB across line EF will result in CFED.

Option b is correct because rotating AEFB 180 degrees counterclockwise around point G will result in CFED.

Option c is correct because rotating AEFB 180 degrees clockwise around point G will also result in CFED.

Option d is incorrect because translating AEFB by the directed line segment from F to E and then reflecting across line FF will not result in CFED.

Option e is incorrect because translating AEFB by the directed line segment from F to E and then rotating 180 degrees clockwise around point E will not result in CFED.

Therefore, the correct options are a, b, and c.

The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.

The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.

The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.

By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.

In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer: 6.79

Step-by-step explanation: divide them

Answer:

Step-by-step explanation:

4 x 3 + 3 x 5 - 13: 7

12+15-62748517

=-62748490

The multiplication rule of probability is used to calculate the joint probability of two events.

This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.

In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together.

The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.

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Answer:

Step-by-step explanation:

The multiplication rule of probability is used to calculate the joint probability of two events. This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together. The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.To know more about multiplication rule click here:brainly.com/question/29524604#SPJ11

The difference between the numbers ABCD and DCBB is 10000

From the information given, we have that:

We can say that:

B + D = 10

A = 3

B = 4

C = 5

D = 6

Now,

ABCD = 3456

DCBB = 6544

Difference between the numbers ABCD and DCBB = 3456 + 6544 = 10, 000

Thus, the difference between the numbers ABCD and DCBB is 10000

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The column vector can be translated a shape back to it original position in the following ways:

1. Identify the original position of the shape on the coordinate plane.

2. Identify the new position of the shape on the coordinate plane after it has been translated.

3. Calculate the difference between the coordinates of the original and new positions.

4. Write the difference as a column vector.

The column vector represents the translation needed to move the shape from its new position back to its original position. The vector has two components, one for the horizontal translation and one for the vertical translation.

We can represent the translation vector using a notation like <a, b>, where a is the horizontal translation and b is the vertical translation. Alternatively, we can represent the vector using a column matrix, where the first element is the horizontal translation and the second element is the vertical translation.

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The column vector to translate a shape back to its original position is determined by the displacement vector that moved the shape from its original position. The translation vector would be the inverse of this displacement vector.

To work out the column vector you need to use to translate a shape back to its original position, you need to observe the displacement vector that moved the shape from its original position. The displacement vector is represented as a column vector, which in 2D might be something like (x, y).

This means the shape has been shifted 'x' units in the horizontal direction and 'y' units in the vertical direction. To get the shape back to its original position, you will need to move it '-x' units in the horizontal direction and '-y' units in the vertical direction.

So, you'd write another column vector (-x, -y). This is your translation vector to bring the shape back to its original position.

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Answer:

112.625

Step-by-step explanation:

im not good at explaining

1. 125/X 100/15

2. 125 x 15= 1875

3. 1875 / 100 = 18.75

now gotta subtract since 18.75 is 15% of 125

4. 125 - 18.75 = 106.25

The tax

106.25/X 100/6

106.25 x 6 = 637.5

637.5 / 100 = 6.375

106.25 + 6.375 = 112.625

so 112.625 is the price of the coffee table

this was a lot of work

Answer:

9%

Step-by-step explanation:

The computation of the discount in a percentage is shown below:

Purchased for $34

But instant she get discount and need to pay only $30.94

So, the discount in a percentage is

= ($34 - $30.94) ÷ ($34)

= 9%

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

The required elementary matrix E such that EA = B is

\(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\).

Any matrix obtained by performing a single elementary row operation on the identity matrix is called an elementary matrix.

The elementary operations are as follows:

1. Interchange the two rows of a matrix

2. Multiply a row of a matrix by the non-zero scalar k.

3. Add k-times of a row into another row of the matrix.

Each type of elementary operation may be performed by matrix multiplication, using square matrices called elementary operators.To perform an elementary row operation on A, an n×m matrix, take the following steps:

1. To find E, the elementary row operator, apply the operation to an n×n identity matrix.

2. To carry out the elementary row operation, premultiply A by E.

We want to interchange the first and second rows of A, a 3×3 matrix to  get B. To create the elementary row operator E, we interchange the first and second rows of the identity matrix I3:

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\) is changed to  \(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\).

So, \(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\)\(\left[\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right]\) = \(\left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right]\)

Thus, the required elementary matrix E such that EA = B is

\(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\)

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Answer: not sure

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

h + 26 = 90 hours

h + 26 - 26 = 90 - 26

h = 64

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

  A.  is a rational number.

Step-by-step explanation:

You want to know whether a product of rational numbers is rational.

You know that the product of fractions is ...

  \(\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}\)

where a, b, c, d are integers.

A rational number can always be expressed as the ratio of two integers. The product of any two integers is an integer, so the product of any two rational numbers is rational.

The time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.

To determine the approximate amount of time required for building the remaining bikes, we need to consider the time spent on the first and second bikes as well as the number of remaining bikes. Let's denote the time required for building the first bike as "x" hours and the time required for building the second bike as "5" hours.

(a) To find the approximate time required for building the first unit, we already know that "x" hours spent on it.

(b) For the eighth unit, we can observe that a pattern is emerging. The time required for each unit is increasing by 5 hours. Therefore, for the eighth unit, we can calculate the time as follows:

Time for the eighth unit = Time for the first unit + (7 * 5) hours = x + 35 hours.

(c) To find the total amount of time required for building the eight units, we need to sum up the time required for each unit. Since each subsequent unit takes 5 hours longer than the previous one, we can use the arithmetic series formula to calculate the sum:

Total time for eight units = (Number of units / 2) * (Time for the first unit + Time for the last unit)

                            = (8 / 2) * (x + (x + 35))

                            = 4 * (2x + 35)

                            = 8x + 140 hours.

In summary, the time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.

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Answer:

288 and 289 are the two pages.

Step-by-step explanation:

we conclude that the correct option or the translated function is the last one.

f(x) = (x - 8)² - 1

The parent quadratic function is:

y = g(x) =  x²

If we translate this function 8 units to the left, then we will have the new function:

f(x) = g(x - 8)

And if now we translate this function one unit downwards, we will get:

f(x) = g(x - 8) - 1

Now we can replace g(x) by the parent quadratic function we willl get:

f(x) = (x - 8)² - 1

From this, we conclude that the correct option is the last one.

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The rate of interest for a loan of Rs 12,000 is r = 50 %

Given data ,

To find the rate of interest, we can use the formula for simple interest:

Interest = Principal x Rate x Time

Let's represent the rate of interest per year as "r" (in decimal form) and the time (in years) as "t". Given that the man took a loan of Rs 12,000 and paid Rs 3,000 as interest, we can set up the equation:

3,000 = 12,000 x r x t

We are also given that the time (in years) is the same as the rate of interest per year:

t = r

Substituting t = r into the equation, we have:

3,000 = 12,000 x r x r

3,000 = 12,000r²

Dividing both sides of the equation by 12,000:

r² = 3,000 / 12,000

r² = 1/4

Taking the square root of both sides to isolate r:

r = √(1/4)

r = 1/2

Hence , the rate of interest is 1/2 or 0.5 = 50 %

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Answer:

0.0043 : 0.43%

5.20 : 520%

3/8 : 37.5%

7/28 : 25%

Step-by-step explanation:

Convert each to a decimal and then multiply by 100 :)

Therefore, there are 825 boys in the school.

Percent is a mathematical term used to represent a fraction of 100. It is often denoted by the symbol "%". Percentages are used to express proportions, rates, or changes in quantities in terms of fractions of 100. For example, 50% means 50 parts out of 100 or a half, while 25% means 25 parts out of 100 or a quarter. Percentages are commonly used in everyday life, such as in calculating discounts, tax rates, and interest rates.

Here,

If 45% of the students are girls, then the remaining 55% must be boys.

To find the number of boys, we can first calculate what 1% of the total number of students is:

1% of 1500 = 0.01 x 1500 = 15

So there are 15 students in each 1% of the school population.

To find the number of boys, we can now multiply the number of 1% by the percentage of boys:

55% of 1500 = 0.55 x 1500 = 825

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Complete question:

In a school of 1500 students, 45% are girls. How many boys are in the school?

Answer:

30%

Step-by-step explanation:

first we require both quantities to have the same units

converting both to minutes

1 h 3 min = 60 + 3 = 63 min

3h 30 min = (3 × 60) + 30 = 180 + 30 = 210 min

then express as a fraction and multiply by 100% to express as a percentage

\(\frac{63}{210}\) × 100%

= 0.3 × 100%

= 30%

Answer:

10

Step-by-step explanation:

radius is half and ab and bc = ac then 5+5=10