DETERMINE WHETHER THE GIVEN PAIR OF POLYGONS ARE SIMILAR OR NOT. IF THE POLYGONS ARE SIMILAR WRITE (A) CORRESPONDING CONGRUENT ANGLES (B) PROPORTIONAL SEGMENTS (C) RAIO OF SIMLITUDE AND (D) SIMILARITY STATEMENT. IF NOT STATE WHY NOT SIMILAR

Answer:

7x * √(x^2/49) - 7x = 7x * (√(x^2/49) - 1)

And this is as far as we can simplify the expression.

Step-by-step explanation:

To multiply these terms, we can use the distributive property:

√7x * (√x - 7√7) = √7x * √x - √7x * 7√7

Now we can simplify:

√7x * √x - √7x * 7√7 = √(7x * x) - √(7x * 49)

This simplifies to:

√(7x * x) - √(7x * 49) = √(49x^2) - 7x

If we want to simplify further, we can rewrite the expression as:

√(49x^2) - 7x = 7x * √(x^2/49) - 7x

This simplifies to:

7x * √(x^2/49) - 7x = 7x * (√(x^2/49) - 1)

And this is as far as we can simplify the expression.

Answer:

Step-by-step explanation:

Given the random set of numbers chosen from the bag as  {7, 9, 10, 11, 12, 13, 14, 15}

Total outcome = 8 numbers

The numbers that are less than 10 will be the expected outcome, the sets are {7,9}

Expected outcome = 2 elements

Probability = Expected outcome/Total outcome

Pr(that you choose a number less than 10) = 2/8

Pr(that you choose a number less than 10) = 1/4

The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

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Answer:

Step-by-step explanation:

Well first you would have to find the price of each shirt which is 1400/200 meaning each shirt would be $7

At this point the cost of all of the shirts would be 2000  in total

For each shirt they are earning a $3 profit so for each shirt there is a 42.85714 or you could simplify it to 43 or 42.9

Answer:

4968

Step-by-step explanation:

432 is 8% of 5400 and after deducting 432 we get 4968.

1. (a) pq - "If it is an eagle, then it is a bird."

(b) qp - "If it is a bird, then it is an eagle."

(c) pa - "It is an eagle and it is a bird."

All statements are true.

2. (a) pq - "If it is a wild animal, then it is a mammal."

(b) a →p - "All animals are wild, then they are mammals."

(c) p > - "All mammals are wild animals."

All statements are not true. Counterexample can be a bird, which is a wild animal but not a mammal.

In task 1, we are given two statements and asked to express them using symbolic logic notation, and then evaluate whether they are true or false. In the first statement, "It is an eagle, it's a bird," we can represent it as "p ∧ q," where p stands for "It is an eagle" and q stands for "It's a bird." All the statements are true as an eagle is a bird.

In the second statement, "All wild animals are mammals," we can represent it as "p → q," where p stands for "It is a wild animal" and q stands for "It is a mammal." The statement is false as there are wild animals that are not mammals, such as snakes, lizards, and birds.

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--The complete question is, Learning Task 1

Do the following:

1. Statement: It is an eagle, it's a bird.

Write the following in words:

(a) pa (b) qp (c) pa

Are all statements true?

If not give a counter example.

2. Statement: All wild animals are mammals.

SON

Write in words:

(a) pq (b) a →p (c) p >

Are all statements true?

If not give a counter example.​--

Answer:

$8874

Step-by-step explanation:

At the end of the first year, Terrence's car depreciated by 15%.  We can calculate the resulting value with the expression ($20,000)(1 - 0.15) = $17000.  The end of the second year is another 15% reduction, on the already lower value.  For x years, we can write an expression that gives the new value at the end of the year:

f(x) ($20,000)(1 - 0.15)^x

After 5 years the new value would be ($20,000)(1 - 0.15)^5

($20,000)(1 - 0.15)^5 = 8874.11 or $8874

Answer:

4/50 or 2/25

Step-by-step explanation:

Slope/rate of change is defined as the vertical distance over horizontal. then simplify.

The statement "the standard deviation is a parameter, but the mean is an estimator" is false. An estimator is a random variable that is used to calculate an unknown parameter. Parameters are quantities that are used to describe the characteristics of a population.

The standard deviation is a parameter, while the sample standard deviation is an estimator. Likewise, the mean is a parameter of a population, and the sample mean is an estimator of the population mean. Therefore, the statement is false because the mean is a parameter of a population, not an estimator. The sample mean is an estimator, just like the sample standard deviation. In statistics, parameters are values that describe the characteristics of a population, such as the mean and standard deviation, while estimators are used to estimate the parameters of a population.

The sample mean and standard deviation are commonly used as estimators of population mean and standard deviation, respectively. The mean is a parameter of a population, not an estimator. The sample mean is an estimator of the population mean, and the sample standard deviation is an estimator of the population standard deviation. The sample standard deviation is an estimator of the population standard deviation. In statistics, parameter estimates have variability because the sample data is a subset of the population data. The variability of the estimator is measured using the standard error of the estimator. In summary, the statement "the standard deviation is a parameter, but the mean is an estimator" is false because the mean is a parameter of a population, while the sample mean is an estimator.

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Answer:

Savings= $236

Step-by-step explanation:

Giving the following information:

Money spent= $59

Proportion of savings= 25% = 0.25

To calculate the total savings before shopping, we need to use the following formula:

Savings= money spent / proportion of savings

Savings= 59 / 0.25

Savings= $236

The perimeter of the rhombus is 4√117 feet.

What is rhombus?

A rhombus is a special type of quadrilateral (a polygon with four sides) where all four sides are equal in length. It is also known as a diamond shape because of its symmetrical appearance.

In a rhombus, the diagonals are perpendicular bisectors of each other. This means that they divide the rhombus into four congruent right triangles.

Let's denote the length of one diagonal as d1 and the length of the other diagonal as d2. In this case, d1 = 18 feet and d2 = 12 feet.

Each right triangle formed by the diagonals has legs equal to half the lengths of the diagonals. Therefore, the lengths of the legs are d1/2 = 18/2 = 9 feet and d2/2 = 12/2 = 6 feet.

Using the Pythagorean theorem, we can find the length of the hypotenuse of each right triangle, which is also a side of the rhombus.

\(h^2 = (leg1)^2 + (leg2)^2\\\\h^2 = 9^2 + 6^2\\\\h^2 = 81 + 36\\\\h^2 = 117\)

Taking the square root of both sides:

h = √117

Since the rhombus has four congruent sides, the perimeter is given by:

Perimeter = 4 * h = 4 * √117

Thus, the perimeter of the rhombus is 4√117 feet.

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Answer:

28 grapes

Step-by-step explanation:

14 divided by 2 is 7 so you multiply 7 by 4 and you get 28

Answer: 28 grapes.

Step-by-step explanation: Thanks for the points luv. ^-^

Answer:

123

Step-by-step explanation:

First of all, you have to find the total amount of people surveyed, so you add 82+105+141, which would be 328. Then you have to find 37.5% of 328, which is 123 only childs that have no pets.

The correct representation is the number line where there is a closed circle at -3, and everything to the left of the circle is shaded.

The number line that shows the solution to the inequality "y - 2 < -5" is the one where there is a closed circle at -3, and everything to the left of the circle is shaded.

Here's the explanation:

The inequality states that "y - 2" is less than -5.

To represent this on a number line, we first identify the point where "y - 2" equals -5.

Solving the equation "y - 2 = -5" gives us y = -3.

On the number line, we place a closed circle at -3 to indicate that -3 is a valid solution.

Since the inequality is "less than," we shade everything to the left of the closed circle.

This includes all values less than -3 on the number line.

The other options presented have different variations that do not accurately represent the solution to the given inequality.

In option 1, the circle is open instead of closed, which means -3 is not included in the solution set.

In option 3, everything to the right of the open circle is shaded, which is the opposite of the intended solution.

Option 4 represents a different inequality entirely, as it shows a circle at -7 instead of -3.

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The antiderivative of f(x) = ³√x² + x√x is \(1/3 x^3/2 (2x^1/3 + 3x^1/2)\) + C.

The antiderivative of a capability is the converse of the subsidiary. As such, assuming that we have a capability f(x) and we take its subordinate, we get another capability that lets us know how the first capability is changing regarding x. The antiderivative of f(x) is a capability that lets us know how the first capability changes as for x the other way. It is additionally called the endless vital of f(x).

Presently, we should view as the antiderivative of the given capability f(x) = ³√x² + x√x. We can separate it into two sections:

f(x) = ³√x² + x√x

=\(x^(2/3) + x^(3/2)\)

To see as the antiderivative of \(x^(2/3)\), we want to add 1 to the example and separation by the new type:

∫\(x^(2/3)\) dx = (3/5)\(x^(5/3)\) + C

where C is the steady of incorporation. Also, to view as the antiderivative of\(x^(3/2)\), we add 1 to the example and separation by the new type:

∫\(x^(3/2)\) dx = (2/5)\(x^(5/2)\) + C

where C is the steady of incorporation.

Accordingly, the antiderivative of f(x) = ³√x² + x√x is:

∫f(x) dx = ∫\(x^(2/3)\) dx + ∫\(x^(3/2)\) dx

= (3/5)\(x^(5/3)\) + (2/5)\(x^(5/2)\) + C

where C is the steady of incorporation.

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Recall that to evaluate a function at a given value, we substitute the variable by the given value.

Therefore:

For x=2 we get:

For x=1 we get:

For x=0 we get:

Therefore the y-intercept has coordinates (0,-2).

For x= -1 we get:

Therefore the x-intercept has coordinates (-1,0).

For x=-2 we get:

For x=50 we get:

Therefore (50,-102) is a solution to the given equation.

Answer:

Since at x=50, y=-102 we get that the point (50,-102) is a solution t the given equation.

The x-intercept is (-1,0).

The y-intercept is (0,-2).

Answer:

In explanation

Step-by-step explanation:

First, we simplify the parentheses:

\((12x+16)-7x=(10x-20)+6\)

Simplify:

\(5x+16=10x-14\)

Isolate x:

\(30=5x\)

Divide 5 by both sides

\(x=6\)

Hope this helped! Have a good day.

Answer:

A,,45.25

B,657.2

Step-by-step explanation:

its the answer

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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The equation for the given function passing through (0,5) and (4,0) is equal to y = (-5 /4)x +5.

As given in the question,

As shown in the graph drawn we have

( x₁ , y₁ )=(0, 5)

( x₂ , y₂ )=( 4, 0)

Equation for the given function passing through ( x₁ , y₁ ) = (0, 5) and

( x₂ , y₂ )=( 4, 0) is given by :

( y - y₁ )/ (x -x₁ )=( y₂ - y₁ )/( x₂ - x₁ )

⇒( y -5) / (x -0)=( 0 -5)/( 4 -0)

⇒( y - 5) /x=-5/4

⇒y -5=(-5/4)x

⇒y=(-5/4)x + 5

Therefore, the equation for the given function passing through (0,5) and (4,0) is equal to y=(-5 /4)x +5.

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If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.

To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.

Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.

Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.

The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).

Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).

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The isoelectric point (pI) for aspartate is 2.94. The correct answer is option (b).

To determine the isoelectric point (pI) for aspartate, we need to consider the given pK values: pKC = 1.99, pKN = 9.90, and pKR = 3.90. The isoelectric point is the pH at which a molecule carries no net electrical charge, and for amino acids, this occurs between the pK values of the two ionizable groups that are involved in the formation of the zwitterion.

Aspartate is an acidic amino acid with a carboxyl side chain. Thus, we need to consider pKC (carboxyl group) and pKR (side chain group) for calculating the pI. We can use the formula:
pI = (pKC + pKR) / 2
Plugging in the given values:
pI = (1.99 + 3.90) / 2
pI = 5.89 / 2
pI = 2.94
So, the isoelectric point (pI) for aspartate is 2.94.

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$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Answer:

use a ruler for the chicken foot and the bucket and u can write the number for the length of it

Step-by-step explanation:

you have to measure the bucket so I couldn't see the rest but you can use a rule to measure the length of it

Step-by-step explanation:

Having bucket list that we want to accomplish before we die, is basically showing that we have goals that might seem impossible to accomplish. These goals show how much we appreciate what we see around us.

Answer:

15.5 °

Step-by-step explanation:

The highest temperature is -42.5° + 58°

-42.5° + 58° = 58° - 42.5° = 15.5 °

Answer: 5.3

Step-by-step explanation:

\(12.6-(5.1+2.2)\\\\=12.6-7.3\\\\=5.3\)