please answer meee......​

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:

Step-by-step explanation:

Given:

Since BC is opposite to right angle, AC is the missing leg.

Find AC using Pythagorean:

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

81 grams of zinc

Step-by-step explanation:

We can write the quadratic in standard form as:

y = x² -18x - 1053

For a quadratic equation whose solutions are:

x = x₁

x = x₂

We can write it as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = 9 + 9√13

x = 9 - 9√13

Then we can write the quadratic as:

y = (x - 9 - 9√13)*(x - 9 + 9√13)

Expanding that:

y = x² -18x - 81*13

y = x² -18x - 1053

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Answer:

one quart is about 0.95 liters, so its about 2.84 liters after dividing because you want to see how many times that 3 quarts can go into liters

Step-by-step explanation:

mr clean

Answer:

The cooler holds 2.85 liters.

Step-by-step explanation:

Convertion: 1 quart = 0.95 liters

3 × 0.95

= 2.85 Liters

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Step-by-step explanation:

it is totally simple : you need to put the x-value into every place of the x-variable, and then we calculate.

and then the same for the next x-value. and the next. ...

-2

-2×-2 + 9 = 4 + 9 = 13

0

-2×0 + 9 = 0 + 9 = 9

2

-2×2 + 9 = -4 + 9 = 5

4

-2×4 + 9 = -8 + 9 = 1

Answer:

The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:

"the product of an irrational number and a rational number different than zero...."

We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.

Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"

Never, the product will always be irrational.

Answer:

hmm...Umm not sure what that is You are talking about

Answer:

which equation?? mmmmm.........

Answer:

How many potatoes has he already pealed and what rate is he moving at

Step-by-step explanation:

The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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So brianly is glitched so here is the answer

Answer:

a. will also not be rejected at the 1% level.

Step-by-step explanation:

A hypothesis is rejected if:

The p-value is larger than the significance level.

Hypothesis is not rejected at a 5% level of significance

This means that the p-value is > 0.05.

At the 1% level:

p-value > 0.01, so it will never be rejected, and thus, the correct answer is given by option a.

Answer:

I can't see the pic or I can't answer sorry

Step-by-step explanation:

Answer:

This is the equation we have to use in order to find the eigenvalues and eigenvectors of matrix A:

det(A - λI) = 0

where λ is the eigenvalue and I is the identity matrix.

So we have:

A - λI = [ -5-λ 1 2 ]

[ 0 -2-λ 0 ]

[ 4 2 -3-λ ]

And the determinant is:

det(A - λI) = (-5-λ)(-2-λ)(-3-λ) - 8(2+λ) = -λ^3 + 4λ^2 + 23λ - 40

We can factor this to get:

det(A - λI) = -(λ - 5)(λ - 2)(λ + 4)

So the eigenvalues are λ1 = 5, λ2 = 2, and λ3 = -4.

To find the eigenvectors for each eigenvalue, we need to solve the system of linear equations:

(A - λI)x = 0

For λ1 = 5, we have:

[ -5-5 1 2 ] [ x1 ] [ 0 ]

[ 0 -2-5 0 ] [ x2 ] = [ 0 ]

[ 4 2 -3-5] [ x3 ] [ 0 ]

which simplifies to:

[ -10 1 2 ] [ x1 ] [ 0 ]

[ 0 -7 0 ] [ x2 ] = [ 0 ]

[ 4 2 -8 ] [ x3 ] [ 0 ]

We can solve this system to get:

x1 = -1/2 x2

x3 = -1/2 x2

So the eigenvector for λ1 = 5 is:

v1 = [ x1, x2, x3 ] = [ -1/2, 1, -1/2 ]

For λ2 = 2, we have:

[ -5-2 1 2 ] [ x1 ] [ 0 ]

[ 0 -2-2 0 ] [ x2 ] = [ 0 ]

[ 4 2 -3-2] [ x3 ] [ 0 ]

which simplifies to:

[ -7 1 2 ] [ x1 ] [ 0 ]

[ 0 -4 0 ] [ x2 ] = [ 0 ]

[ 4 2 -5 ] [ x3 ] [ 0 ]

We can solve this system to get:

x1 = -2/3 x2

x3 = -4/3 x2

So the eigenvector for λ2 = 2 is:

v2 = [ x1, x2, x3 ] = [ -2/3, 1, -4/3 ]

For λ3 = -4, we have:

[ -5+4 1 2 ] [ x1 ] [ 0 ]

[ 0 -2+4 0 ] [ x2 ] = [ 0 ]

[ 4 2 -3+4] [ x3 ] [ 0 ]

which simplifies to:

[ -1 1 2 ] [ x1 ] [ 0 ]

[ 0 2 0 ] [ x2 ] = [ 0 ]

[ 4 2 1 ] [ x3 ] [ 0 ]

We can solve this system to get:

x1 = -2/5 x2

x3 = 1/2 x2

So the eigenvector for λ3 = -4 is:

v3 = [ x1, x2, x3 ] = [ -2/5, 0, 1/2 ]

To determine matrix A's sign definiteness, we must compute the determinant of all of A's primary submatrices. A square submatrix generated by eliminating the equal amount of rows and columns from the top left corner of A is known as a primary submatrix.

The principal submatrices of A are:

A1 = [-5]

A2 = [ -5 1 ]

[ 0 -2 ]

A3 = [ -5 1 2 ]

[ 0 -2 0 ]

[ 4 2 -3 ]

The determinants of these matrices are:

det(A1) = -5

det(A2) = (-5)(-2) - (0)(1) = 10

det(A3) = (-5)(-2)(-3) + 2(0)(4) + (1)(0)(2) - (-3)(1)(4) - 2(0)(-5) - (-2)(2)(-5) = -92

Because A1's determinant is negative, A is not positive definite. A is not negative definite since the determinants of A1 and A2 have different signs. As a result, A is infinite.

Answer:

See below.

Step-by-step explanation:

Hello!

The topic we should review for this problem is Order of Operations.

Order of Operations is a rule that identifies which part of an equation should be simplified first.

You might've heard of PEMDAS, where;

P for Parentheses, always first unless there's an exponent inside.

E for Exponent, simplified after the Parentheses.

M or D - Multiplication or Division after the Exponent(s).

A or S - Addition or Subtraction after Multiplication or Division.

\((5+3^2)+18\)

First we know that there's an Exponent inside the Parentheses, so we must evaluate that number first.

\((5+9)+18\)

Next, evaluate what's in the Parentheses.

\(14+18\\32\)

Our correct answer is 32.

We are asked what mistake did Raquel make, and what's the correct simplified version of the expression.

1a.) Raquel's mistake is combining unlike terms. It's impossible to combine together a natural number (5) and an exponential number. (3²)

1b.) The correct simplified version of the expression is represented here;

\((5+9)+18\\(First \ Step)\)

After handling raw meat the food preparer should: wash hands with soap.

It is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and  dry your hand with a clean towel.

Washing of hand with soap will help to prevent bacteria based on the fact that  raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.

Therefore after handling raw meat the food preparer should: wash hands with soap.

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Answer:

A. 480

Step-by-step explanation:

its a right triangle

The program is an illustration of loops.

Loops are used to perform iterative and repetitive operations.

The program where comments are used to explain each line is as follows:

public class MyProgram extends ConsoleProgram {

   public void run()     {

//This prompts the user for the number of times to repeat the message

       echo("Anybody home?", readInt("Times to repeat: "));

   }

    private void echo(String lineOne, String lineTwo, int numTimes)     {

//The following iteration is repeated numTimes times

       for (int i = 0; i < numTimes; i++){

//This prints lineOne

       System.out.println(lineOne);

//This prints lineTwo

       System.out.println(lineTwo);

       }

   }

}

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Answer:

como se siente el actor al presentar la obra hola

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

We can use the formula for the present value of an annuity:

PV = PMT x [(1 - (1 + r)^(-n)) / r]

where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.

Substituting the given values, we have:

PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]

PV = $31.48 x [(1 - 0.5159) / 0.0127]

PV = $1,007.97

Therefore, the equivalent cash price of the iPod is $1,007.97.

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)