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Step-by-step explanation:

540 = 4x-10+5x-11+128+4x+2+132

23= x

RST=104

QRS=82

TPQ=94

The value of x from the figure is 23

The sum of the interior angle of the pentagon is 540 degrees

Taking the sum of all the angles:

4x+2+132+4x-10+128+5x-11 = 540

4x+4x+5x+241 = 540

13x = 540 - 241

13x = 299

x = 299/13

x = 23

Hence the value of x from the figure is 23

Learn more on polygons here: https://brainly.com/question/24966296

Answer: C) 1/7

Step-by-step explanation:

Find the Slope

(−7, 0) , (0, 1)

Slope is equal to the change in y over the change in x, or rise over run.

           change in y

    m =  _________

           change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

            [tex]y_2 -y_1[/tex]

    m = ______

           [tex]x_2 - x_1[/tex]

Substitute in the values of x and y into the equation to find the slope.

            1 − (0)

    m =  ______

            0 − (−7)

Simplify the numerator.

                1

    m =  ______

            0 − (−7)

Simplify the denominator.

Multiply −1 by −7.

                1

    m =  _____

             0 + 7

Add 0 and 7.

             1        

    m = ___

             7

Answer:

They each got 1/10th of the bag

Step-by-step explanation:

you just divide 1/5th by 2 which is 1/10

Answer: 7

i took the test

Answer:

math waaayys can help you

Step-by-step explanation:

Answer:

Mike's average monthly salary is $ 1,814.

Step-by-step explanation:

To determine Mike's average monthly salary, taking into account that he earns $ 284, $ 292, $ 418, $ 350, and $ 470 weekly, these amounts must be added for the 5-week duration of the month through the following calculation:

284 + 292 + 418 + 350 + 470 = X

1814 = X

Thus, given that this sum totals $ 1,814, Mike's average monthly salary is $ 1,814.

Answer:

[tex]\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3[/tex]

Step-by-step explanation:

The Volume of a Sphere

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

A. )

If the diameter of the sphere is d, the radius is r=d/2. Substituting:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3[/tex]

Operating

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}[/tex]

Simplifying

[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3[/tex]

B.)

The diameter of the sphere is 2/3 cm, thus the volume is:

[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3[/tex]

Operating:

[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}[/tex]

[tex]\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi[/tex]

[tex]\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}[/tex]

Answer: d

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Sub the x with 6

30 - 11 = 19

Answer:

Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything

Answer:

164

Step-by-step explanation:

add everything together 10+9+13+122 = 164.

Answer:

answer is c:36. 240x.15=36

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

Answer:

The circumference is 37.7 mm.

Answer:

[tex]r=11[/tex]

Step-by-step explanation:

The equation of a circle is commonly denoted as:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.

This equation is already written in that format, therefore:

[tex]r^2=121,\\r=\fbox{$11$}[/tex],

Step-by-step explanation:

[tex]y = {2}^{x} [/tex]

This is a basic exponential function.

[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]

The (-x) exponent makes a reflection in the y-axis.

Answer:

y = x + 9/4     or     y = x + 2 1/4

Step-by-step explanation:

y - 4x = 9

y - x = 9/4 (divide both sides by 4)

y = x + 9/4 (Add x to both sides)

Answer:

line plots do you mean number line, cos no pic is attached

Answers:

Up to down (The y-coordinate is the vertical line in the coordinate plane)

Zero (A slope is made from how much the line rises divided by the distance it takes to do so, a flat, horizontal line will not rise, and therefore will have a slope of 0)

Answer:

1. is B: Up to Down

2. is C: zero

Step-by-step explanation:

The y-coordinate is the vertical line of the graph, so it is up to down.

When you have a horizontal line, that means you have a zero function meaning there is no coordinate on the x-axis.

Answer:

300 times

Step-by-step explanation:

Answer:

The answer is out of every 5, the desired out come will be approximately 2 times.  

Step-by-step explanation:

Answer:. 151/99

Step-by-step explanation:

Take the repeating digits from the decimal equivalent, 52 and place them as the numerator of a fraction with 99 as the denominator. That is 52/99

We can verify this value by doing the long division, or enter the values as 52÷99 on a calculator.

For the improper fraction:

Convert the whole number, 1, to its equivalent, 99/99. ( If the whole number is other than 1, multiply it by the denominator and use the product as the numerator. )

Add the numerators: 52 + 99 = 151

Our improper fraction equivalent of 1.525252 is 151/99

Answer:

s=8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The solutions to the functions are

a) x → –∞, y → +∞ and as x → +∞, y → –∞

b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4

c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4

d) The function is odd

e) The three factors of the function are (x - 3)(x + 2)(x + 5)

f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3

g) The factor of the function is a = x - 3

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

a)

Let the function be represented as f ( x )

Now , the value of f ( x ) = -5x³ + 3x² + x - 9

The end behavior of the function is given as

As x → –∞, y → +∞ and as x → +∞, y → –∞

b)

Let the function be represented as f ( x )

Now , the value of f ( x ) = 4x³ - x² - 4x + 1

On factorizing the equation , we get

f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )

f ( x ) = ( x² - 1 ) ( 4x - 1 )

Taking the common factors of the expression , we get

f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )

f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )

Therefore , the solutions of the equation are x = -1 , 1 , 1/4

c)

Let the function be represented as f ( x )

Now , the value of f ( x ) = x³ + 6x² + 8x

On factorizing the equation , we get

f ( x ) = x ( x² + 6x + 8 )

Taking the common factors of the expression , we get

f ( x ) = x ( x + 4 ) ( x + 2 )

So , the solution of the function are x = 0, -2, -4

d)

The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function

e)

The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )

f)

Let the function be f ( x )

Now , the translated function is g ( x ) = f ( x - 2 ) + 3

The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3

g)

The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )

Hence , the functions are solved and factorized

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Answer:

22-18-25,

19-24-30,

7-24-25

Step-by-step explanation:

In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

22-18-25,

19-24-30,

7-24-25

Answer:

its c

Step-by-step explanation:

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

y = 51/4

2. y = ¼x + 12

x = 4

y = ¼(4) + 12

y = 1 + 12

y = 13

From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.