Which triangle congruence postulate would be used to prove the following triangles congruent?
1. SSS
2. HL
3. AAS
4. SAS

There are 28 which is 256. That means there are 256 different values you can store in a byte, since a byte is eight bits. There are 256 eight-bit ASCII codes, for instance.

1 byte = 8 bits

Number of bits = [tex]2^{8}[/tex]

= 2*2*2*2*2*2*2*2

= 4*2*2*2*2*2*2

= 8*2*2*2*2*2

= 16*2*2*2*2

= 32*2*2*2

= 64*2*2

= 128*2

= 256 bits.

Therefore that means there are 256 different values you can store in a byte, since a byte is eight bits.

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The formula for the perimeter of the rectangle is:

P(x) = 14x - 16

We know that for a rectangle of length L and width W the perimeter is given by the formula:

P = 2*(W + L)

In this case we know that:

W = 2x - 1

L = 5x - 7

Replacing that in the perimeter formula we get:

P(x) = 2*(2x - 1 + 5x - 7)

Now we can simplify this so we get:

P(x) = 2*(2x + 5x - 1 - 7)

P(x) = 2*(7x - 8)

P(x) = 14x - 16

That is the perimeter of the rectangle in terms of x.

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a ) The expression for the radius of the circle = r = 2x + 3

b ) The least possible value of radius is - 1.5

Given : Area of the circle = 4πx² + 12πx + 9π

a) The expression for the radius of the circle = r = 2x + 3

we can find this out by middle term split

we can write the area of the circle as

4πx² + 12πx + 9π

4πx² + 6πx + 6πx + 9π

this implies 2πx ( 2x + 3 ) + 3π ( 2x + 3 )

π( 2x + 3 ) ( 2x + 3 )

thus the radius expression is 2x + 3

b ) The least possible value of radius is 2x + 3 = 0

this implies 2x = - 3

x = - 1.5

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The number of solutions in the equation 3x² + 4x - 5=0 is (b) two real solutions

The equation is given as:

3x² + 4x - 5=0

A quadratic equation is represented as:

ax² +bx + c=0

Where the discriminant is:

d = b² - 4ac

So, we have:

d = 4² - 4 * 3 * -5

Evaluate

d = 76

If the discriminant is greater than 0, then the equation has 2 real roots.

Hence, the number of solutions is (b) two real solutions

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The equation of the parallel line is y = (-3/2)x + 20

What does the term Slope of a Straight Line means?

A line's slope is defined as the change in y coordinate with respect to the change in x coordinate. The net y coordinate change is y, while the net x coordinate change is x.

Solution:

Firstly we need to find the slope of the given line 3x+2y = 14

Since, the equation is in the form ax + by = c

Therefore, by comparing we can say a = 3 and b = 2

Slope = -(b/a) = -3/2

Since we need to find the equation of the parallel line

So, the slope of the parallel line will be -3/2

y = mx + b

we know that the line passes through the point (8,8)

putting x,y = 8 and m = -3/2

8 = (-3/2)*8 + b

8 = -12 + b

b = 20

So, the equation of the parallel line is y = (-3/2)x + 20

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1:3

= 15:45

= 15/45

= 15/45 {can be divided by 15}

= 15/15 = 1 ; 45/15 = 3

Therefore, 15/45 is 1/3

                  15:45 is 1:3

Answer:

8x + 29

Step-by-step explanation:

[tex]5(x + 7) + 3(x–2) \\ 5 \times x + 5 \times 7 + 3 \times x - 3 \times 2 \\ 5x + 35 + 3x - 6 \\ 5x + 3x + 35 - 6 \\ 8x + 29[/tex]

The equation of lines are (a) x - 2y + 6 = 0

                                          (b) 2x - y - 4 = 0

                                          (c) x - y + 1 = 0

                                          (d) 4x + 3y + 4 = 0

Slope-intercept form of the equation -> y = mx + c

Slope = m = [tex]\frac{y2-y1}{x2-x1}[/tex]

(a) A(0,3) and B(6,6)

    m = [tex]\frac{6-3}{6-0}[/tex]

        = 3/6

        = 1/2

    Putting the value in equation,

     3 = (1/2)*0 + c

     c = 3

   Equation -> y = (1/2)x + 3

                     2y = x + 6

          x - 2y + 6 = 0  

(b) A(0,-4) and B(5,6)

    m = [tex]\frac{6+4}{5-0}[/tex]

        = 10/5

        = 2

    Putting the value in equation,

     -4 = (2)*0 + c

     c = -4

   Equation -> y = (2)x - 4

          2x - y - 4 = 0  

(c) A(-4,-3) and B(2,3)

    m = [tex]\frac{3+3}{2+4}[/tex]

        = 6/6

        = 1

    Putting the value in equation,

     3 = (1)*2 + c

      3 = 2 + c

      c = 3 - 2

      c = 1

   Equation -> y = (1)x + 1

                       y = x + 1

             x - y + 1 = 0  

(d) A(-6,4) and B(3,-8)

    m = [tex]\frac{-8-4}{3+6}[/tex]

        = -12/9

        = -4/3

    Putting the value in equation,

     -8 = (-4/3)*3 + c

     -8 = -4 + c

      c = -8 + 4

      c = -4

   Equation -> y = (-4/3)x - 4

                     3y = -4x - 4

       4x + 3y + 4 = 0  

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Answer:

120 free throw attempts

Step-by-step explanation:

[tex]95\%=0.95[/tex]

[tex]0.95x=114[/tex]

[tex]x=\frac{114}{0.95}[/tex]

[tex]x=120[/tex]

Answer: x= 0.5

Step-by-step explanation:

8x-4=2(4x-4)

You would want to take away the smaller x which is (4x)

4x-4=2-4

+4         +4

4x-4=2

+4  +4

4x=2

daddy ;)

The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

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The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).

A(x₁,y₁) = (-8,4)

B(x₂,y₂) = (-1,3)

C(x, y ) = (x ,0)

equation of a line is given as:

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

y - 4  = (3 - 4)/(-1 + 8)(x + 8)

y - 4 = -1/7(x + 8)

7(y - 4) = -1(x + 8)

7y - 28 = -x + 8

x + 7y - 36 = 0

when y = 0 then the value of x is given as:

x + 7y- 36 = 0

x + 7(0) - 36 = 0

x = 36

point C on the x-axis (x , 0) = (36,0)

The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).

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Explanation:

Technically you could isolate any variable you wanted, from either equation. However, convention is to pick the variable in which isolating it is easiest, and most efficient.

The key thing to look for is if there's a coefficient of 1. This is found in the second equation for the y term. Think of -4x+y = -13 as -4x+1y = -13. Due to the coefficient of 1, when solving for y we won't involve messy fractions.

If you were to solve for y, then you'd get y = 4x-13, which is then plugged in (aka substituted) into the first equation. That allows you to solve for x. Once you know x, you can determine y.

check your textbook for the remainder theorem, where it states that for a factor (x-5) of f(x) then the remainder will be 0, thus f(5) = 0, what the heck all that means?

well, it means that if we evaluate f(5) our result should be 0, so

[tex]\stackrel{factor}{(x-5)}\hspace{5em}f(5)=(5)^3-7(5)^2+(5)+a=0 \\\\\\ 0=(5)^3-7(5)^2+(5)+a\implies 0=125-175+10+a \\\\\\ 0=-40+a\implies \boxed{40=a}[/tex]

Answer:

50 aluminium cups maybe win 3750

Answer:

15.00x +5.00y = 60.00

Step-by-step explanation:

answer is to the equation is 3 because u plug in 3 to x given information provided to get 45.00 dollars. u then subtract 60 and 45 to see how much money u have left for maps. each map is 5.00 dollars and with 15.00 dollars remaining, u can get three maps and three dictionaries to equal 60.00 dollars!! Hope this helps!

Answer:

You can buy 3 maps. Equation: 15a + 5b = 60 ⇒ 15(3) + 5(3) = 60

Step-by-step explanation:

15 multiplied by 3 equals 45. Now you have $15 left. 15 divided by 5 equals 3. Therefore, you can buy 3 maps. Hope that helped! :)

Answer:

Most likely 4cm and 5cm

Step-by-step explanation:

Where 5cm=length

And 4cm=width

The relationship between the variables is that an increase in the degree of slope cause an increase in the loss of soil

The possible graph that completes the question is added as an attachment

From the attached graph, we have the variables represented to be

Next, we determine the relationship

To start with:

The relationship between the variables on a graph is simply  the end bahavior of the graph

In this case, we can see that:

As the degree of the slope increases, the loss of soil also increase

However, the increase in the slope does not cause a constant increase in the loss of soil

The loss of soi starts by increasing slowly as the degree of slope increases, then the loss of soil increases sharply as the degree increases further

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a) Daily dose for a man who weighs 195 pounds is 30 mg.

b)Here 422.5 mg is less than 600mg. Then, He doesn't receive proper dosage.

What is proportional ?

  Any relationship that always has the same ratio is referred to be proportionality. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.

Here , The adult daily dosage for a certain medicine is 260 mg

=> [tex]\frac{40}{260} = \frac{195}{x}[/tex]

=>  x = [tex]\frac{260*195}{40}[/tex]

=> x =1267.5  mg.

a) Daily dose for a man who weighs 195 pounds is 30 mg.

b) Here for 24 hours = 1267.5 then,

=>  8 hours = x

=> x = [tex]\frac{1267.5*8}{24}[/tex]

=> x = 422.5 mg.

Here 422.5 mg is less than 600mg. Then, He does'nt receive proper dosage.

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The evaluated expression of (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6 is 5.3

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Therefore, let's evaluate the expression, (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

In other words, to evaluate the expression, we have to substitute the given value of the variable and simplify the expression.

Therefore,

(6x+3y) - z² = (6(-3)+3(4)) - (-6)² = (-18 + 12) - 36 = -32

2x = 2(-3) = -6

Hence,

- 32 / -6 = 5.3

Therefore,

(6x+3y) - z² / 2x when  x = -3, y = 4 and z = -6 is 5.3

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The calculation of the ratios, resulting from the square feet occupied by both departments, and the amounts of overhead allocated to the two departments are as follows:

                            Ratio      Amount

Department A       1/5        $10,000

Department B      4/5       $40,000

The ratio is the numerical relationship shared by two or more values.

Ratios are fractional values and are depicted using fractions, decimals, and percentages.

Ratios, like proportions, show how much a value or variable is contained in another.

Total overhead = $50,000

Department   Square Feet  Ratio    Amount of Overhead Allocated

Dept. A            20,000         A = 1      B = $10,000 ($50,000 x 1/5)

Dept. B            80,000         C = 4     D = $40,000 ($50,000 x 4/5)

Ratios = 20,000:80,000

= 1:4

Sum of Ratios = 5

Thus, based on the cost driver allocation ratios, Department A will bear $10,000, while Department B will be allocated $40,000.

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Answer:

it's decimal value then it is 11.1803399.

The integer close to it is 11

Step-by-step explanation:

let's square this :

4² × 5 = 16 × 5 = 80

the closest squared integer is 81 (9²).

so, the closest integer to 4×sqrt(5) is 9.

The Original price of barbecue grill is 96.325.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The final cost  barbecue grill is $79.95.

Discount = 25%

and Tax = 8%

let the original price be x

x- 0.25x + 0.08x = 79.95

0.83x = 79.95

x= 79.95/0.83

x = $96.325

Hence, the Original price of barbecue grill is 96.325.

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Answer:

Classification - Right Scalene

Perimeter - 30ft

Area - 30ft

Step-by-step explanation:

Classification - There's a right angle, and 3 unequal sides.

Perimeter - 5 + 13 + 12 = 30

Area = 5*12=60, 60/2 = 30

The value of dy/dx is ( v du/dx - u dv/dx)/v²

From the question, we have

y = (1+x)u/(1+x)v

y = u/v

dy/dx = d/dx(u/v)

d/dx(u/v) = ( v du/dx - u dv/dx)/v²

Derivatives:

A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilized. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial. In calculus, a function's derivative measures how sensitively its output value changes in response to changes in its input value.

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Answer:

[tex]f(x)=-log_{3}(-x)[/tex]

Step-by-step explanation:

Based on the points given on the graph, I would say this is a Log function, reflected across both x- and y-axes.

And given the point (-3, -1), it must be [tex]-log_{3}(-x)[/tex]

Graph 2 represents that the function is positive for the entire interval [-3,-2].

Every possible input value results in exactly one output value in a function. "The output is a function of the input," we state. The domain is made up of the input values, while the range is made up of the output values.

Four different graphs for various functions are provided. We must identify the graph that is positive throughout the range [-3,-2].

We make the following observation from the given graphs.

1. The function in graph 1 has a value of 0 at -3 and decreases in value from -3 to -2. As a result, in the provided interval, the function is negative.

2. Graph 2 makes it abundantly evident that the function has a positive value for the entire specified interval.

3. In graph 3, the function shows a negative value entirely in the given interval.

4. In graph 4, the function exhibits both positive and negative values in the given interval and is not positive in the entire interval.

Thus, the function in graph 2 is positive for the entire interval [-3,-2].

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Answer:

A= 6n

B= 9n

C= 15n

Step-by-step explanation:

It's just adding.

A= 6n

B= 9n

C= 15n

Answer:

Hello there! While I didn't have this assignment, I found the assignment on Coursehero and took the liberty of downloading the pdf.

BE SURE TO USE QUILLBOT FOR PARAPHRASING AND PREPOSTSEO FOR PLAGIARISM CHECKING

Step-by-step explanation: