Choose three true statements about the angles of the figure

1: Z1 and the 55* angle are adjacent

2: mZ1=55* because Z1 and the 55* angle are vertical angles

3: mZ2=125* because Z2 and the 55* angle are supplementary

4: mZ2 cannot be determined from the information

5: mZ1=180*-55*

6: mZ2=180*-55*-45*

AC = 25 units is the length of AD.

The Geometric Mean (Altitude) Theorem (9.7) The hypotenuse of a right triangle is split into two pieces by the height from the right angle. The geometric mean of the lengths of the two hypotenuse segments determines how long the altitude is.

Length of BC = 10 units

Length of DC = 4 units

We will use geometric mean theorem in the given right triangle to get the length of side AC.

[tex]hypotenuse/leg=leg/projection\\AC/BC=BC/DC\\x/10=10/4\\x=25[/tex]

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The solution of the equation is x = 6, y = 0.

1. Subtract the two equations:

   x3y6 - 2x3y12 = 0

2. Simplify both sides of the equation:

   x3y - 2x3y = 0

3. Simplify further calculations:

   x3(y - 2y) = 0

4. Factorize the expression:

   x(y - 2y) = 0

5. Solve for x:

   x = 0

6. Substitute x = 0 into either equation:

   3y = 6

7. Solve for y:

   y = 2

8. Substitute y = 2 into either equation given above:

   x = 6

The solution of the equation is x = 6, y = 2.

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The correct option is option A , the sample points of a sample space are equally likely events.

In probability when two the occurrence of two events are having a 50 - 50 possibility then those two events are said to be equally likely events. Example , on tossing a coin the probability of getting a H or a tail is 1/2 . Therefore, these events are said to be equally likely events.

Probability is a field of mathematics which tells us about the possibility of occurrence of an event. P = number of favorable outcomes / total number of outcomes , is the formula to calculate probability.

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Answer:

Answer: Tomatoes If you multiply 10 x 0.69 (for onions) it would be 6.9If you multiply 100 x 0.99 (for tomatoes) it would be 99Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69Which are the most? Tomatoes.~ Hope this helps

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For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by  $26786.2.

As given in the question,

Principal amount 'P' = $128,000

Time 't' = 15 years

Rate of interest 'r' = 5.5%

                             = 0.055

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 5.5 / 100 )^15

  = $285756.99

Now when the rate of interest is changed to

Rate of interest 'r' = 4.81%

                             = 0.0481

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 4.81 / 100 )^15

  = $258970.79

Now, the cost of four points is given by:

= $( 285756.99 - 258970.79 )

= $ 26786.2

Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to  $26786.2.

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By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.

What is standard deviation in math?

The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.

                           A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given,

         mean (μ) = 142000

  standard deviation (σ ) = 7000

 By using empirial rule,

                    P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%

   Then,

             P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%

    P( 135000 ≤ x ≤ 149000 ) ≅ 68%

68% housing price are between a low price of $135000 and a high price of $149000.

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Answer:

1.0833333333333333333333333333333333 (repeats)

Step-by-step explanation:

use a calculator

The algebraic solutions are x < -5 and x > 3.

The graph is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + 2x > 15

x² + 2x - 15 > 0

x² + (5 - 3)x - 15 > 0

x² + 5x - 3x - 15 > 0

x(x + 5) - 3(x + 5) > 0

(x - 3)(x + 5) > 0

x + 5 > 0 and x - 3 > 0

x < -5 and x > 3

The graph is given below.

Thus,

x < -5 and x > 3 is the solution.

The graph is given below.

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In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.

Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.

It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.

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The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.

A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).

Given equation,

[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]

= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]

= [tex]-3x^{2}-9x+3[/tex]

Hence, coefficient of [tex]x^{2}[/tex] is -3.

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The ratios are not equivalent.

A hat symbol (^) is used to represent an estimated value in regression analysis.

We know that in regression analysis, the predicted values are the y-hat values.

Here y is the output variable or dependent variable

A 'hat' symbol (^) is used to denote an estimator.

A ^ symbol is placed over the variable name to denote the estimated value.

In matrix system, a hat matrix is nothing but the projection matrix.

It projects the vector of observations, y, onto the vector of predictions, y^

We know that a vector has magnitude and direction. A ^ symbol is used is represent the direction of unit vector.

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The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.

The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.

The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.

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Answer: Option D (0.833)

Step-by-step explanation:

There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).

Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833

In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.

According to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:

Logarithm of 1 at any base.

㏒ₐ 1 = 0

If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.

Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.

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joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.

A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.

Given, Joyce painted 8 window frames in 5 hours while earning money for college.

Her painting rate in window frames per hour is = 8 /5

Her painting rate in window frames per hour is = 1.6

Her painting rate in hours per window frame is = 5/8

Her painting rate in hours per window frame is = 0.625

therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.

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Answer: 72 feet²

Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²

Answer:

x ≈ 18.6

Step-by-step explanation:

using the tangent ratio in the right triangle

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )

x × tan37° = 14 ( divide both sides by tan37° )

x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )

The solutions can be read off of the diagonal entries in the reduced matrix.

To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.

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The probability that a bag of flour passes inspection is 0.05.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true. In this case, the probability of an event us usually represented as a number between 0 and 1.

In this case, the odds that a bag of flour weighs enough to pass inspection are 1:20. The probability that a bag of flour passes inspection will be:

= 1/20

= 0.05

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Complete question

The odds that a bag of flour weighs enough to pass inspection are 1:20. What is the probability that a bag of flour passes inspection?

Answer:

x > 3

Step-by-step explanation:

6x - 2 - 3x + 9 > 16

3x + 7 > 16

3x > 9

x > 3

The value of exponent x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4, in the given equation.

Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.

Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.

The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex]

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

Thus, The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4.

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Answer:

  2x +3y = 15  or  y = -2/3x +5

Step-by-step explanation:

You want the equation of the line with y-intercept 5 and x-intercept 7.5.

The intercept form equation can be written ...

  x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

The given intercepts of a=7.5 and b=5 mean we can write the equation as ...

  x/7.5 +y/5 = 1

Multiplying by 15 gives the standard-form equation ...

  2x +3y = 15

Solving for y gives the slope-intercept equation ...

  y = -2/3x +5

The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:

So, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.

It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.

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Answer:

Step-by-step explanation:

a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.

b) He spent 150% more on clothes than on food.

Answer:

-8 , (0, -8)

Step-by-step explanation:

The y-intercept of a line is where a line intersects the y-axis, or the vertical axis.

Referring to the picture given, the y-intercept is -8 with the coordinates (0, -8)

Answer:

The vertex is (1,-9)

The y intercept is (0, -8)

Step-by-step explanation:

This is a parabola.  The vertex is the low point since the parabola is opening upwards.

The vertex is (1,-9)

The y intercept is where it crosses the y axis.  The y intercept is (0, -8)

I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."

Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.

Here,

I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."

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The sum of the two polynomials 6s²t – 2st² and  4s²t – 3st² is 5(2s²t – st²) in factorized from.

One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".

A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.

In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).

The sum of two polynomial is

⇒6s²t – 2st² + 4s²t – 3st²

= 6s²t + 4s²t – 3st²– 2st²

= 10s²t – 5st²

= 5(2s²t – st²)

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Full question

What is true about the sum of the two polynomials?

6s²t – 2st² and  4s²t – 3st²

The area for 2 pounds of fertilizer is 400 square feet

How to determine the amount of fertilizer for 2 pounds?

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

seven pounds of fertilizer can cover 1400 square feet

This means that

7 pounds of fertilizer = 1400 square feet

Divide both sides of the equation by 7

So, we have the following representation

1 pounds of fertilizer = 200 square feet

Multiply both sides of the equation by 2

So, we have the following representation

2 pounds of fertilizer = 400 square feet

Hence, the area is 400 square feet

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Step-by-step explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3