find the value of x and the measure of each angle

When we try to convert the value of one kilo meter to feet, the value that we obtain is 3280.8 ft.

We know that there are several units that we could use for calculations. t is often common that we need to convert the units from one unit to the other so that we can be able to carry out calculations. The number that allows us to be able to carry out such a a conversion is what we call the conversion factor for that particular operation.

Given that;

1 foot = 0.0003048 kilo meter

We can see that if we seek to convert a value of One km to feet we would have 3280.8 ft

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The value of x is 10

The perimeter of the triangle is 30 units

An equilateral triangle can be defined as a triangle which has all its sides equal or congruent to each other.
The properties of an equilateral triangle includes;

From the information given, we have the sides as;

Since all of its sides are equal, we have to  equate two side, we have;

x + 5 = 2x - 5

collect like terms

x - 2x = -5 - 5

subtract the like terms

-x = -10

make 'x' the subject

x = 10

But the perimeter of an equilateral triangle = 3a = 3(10) = 30 units

Thus, the value is 10

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Answer:

62.5

Step-by-step explanation:

The equation of the line in the slope-intercept form is y = -1/4x + 9

From the question, we are to determine the equation of the line that passes through the given points.

The given points are (-4, 8) and (4, 6)

Using the formula,

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

x₁ = -4

y₁ = 8

x₂ = 4

y₂ = 6

Thus,

(y - 8)/(x - -4) = (6 - 8)/(4 - -4)

(y - 8)/(x + 4) = -2 / (4 + 4)

(y - 8)/(x + 4) = -2 / 8

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

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

4(y - 8) = -x + 4

y - 8 = -1/4x + 1

y = -1/4x + 1 + 8

y = -1/4x + 9

Therefore,

The equation is y = -1/4x + 9

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Answer:

44.77

Step-by-step explanation:

13.1x3.70=13.1x3.7

37x131=4477

get back the decmial point 44.77

Answer:

Explanation:

Here, we want to rewrite the given expression

What we have to do is to start by opening up the bracket

To do this, we have to multiply the term on the left with each term inside the bracket

Then we collect the like terms and perform the necessary arithmetic operation

We have this as follows:

Answer:

68y-42

Step-by-step explanation:

7(9y+2y-6)-9y

Find the expression in simplest terms

Combine like terms

7(11y-6)-9y

Distribute

77y -42-9y

Combine like terms

68y-42

Answer:

1. 4

2. 2

3. 35

4. 96

Step-by-step explanation:

1. (6-2)÷4=4

2. 18÷(2+7)=2

3. (11-4)×5= 35

4.(4+2+6)×8= 96

Answer:

1. 1

2. 2

3. 35

4. 96

100 keed lol keed lol keed

Answer:

<KLC

Step-by-step explanation:

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Both are obtuse angles and are on the opposite side of the transversal line

Answer:

∠KLC is the alternate angle of ∠BKL

Step-by-step explanation:

Alternate angles are angles that are opposite of one another and on two different parallel lines created by an intersecting line (also known as a transverse line).

In this case, the parallel lines are lines A↔B and C↔D, and the transverse line is M↔N. Therefore, the alternate angle from ∠BKL is ∠KLC.

The option that results in a graph that shows exponential decay is Option(b) f(x) = 3(0.7)ˣ.

According to the question, we have to determine the function that results in a graph that shows exponential decay.

The function will show an exponential decay if the value of b was less than 1 and greater than 0.

As we can notice in the second option, f(x) = 3(0.7)ˣ, where b is equal to 0.7 which is less than one.

So, f(x) = 3(0.7)ˣ shows exponential decay.

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The complete question is: "Which of the following options results in a graph that shows exponential decay?

a. f(x) = 0.6(2)ˣ

b. f(x) = 3(0.7)ˣ

c. f(x) = 0.4(1.6)ˣ

d. f(x) = 20(3)ˣ."

Mark receives a scale report and on the Math section, he earned a raw score of 39 which is at the 68th percentile, meaning that the total raw score on the Math section is 57

Find out the total score of the Math score, 100th percentile

     Given; raw score- 39 which is at the

                       68th- percentile

For someone to be at the 100th percentile, he or she must have scored all the questions right.

In Mark's case, he had a score of 68 percentile with a score of 39

Total raw score for the Math section;

    state;   If score of 39 = 68 percentile

                          ?                 100 percentile

Cross multiply to solve for the unknown

Thus;  39 * 100 / 68

         =  57

Therefore, total raw score on the Math section is 57, which is at the 100th percentile.

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The composite result function of f( g(-2) ) in the given functions f( x ) = x² + 3x and g( x ) = 2x - 1 is 10.

A function is simply a relationship that maps one input to one output..

Given the data in the question;

First, set up the composite result function f( g(x) )

f( x ) = x² + 3x

f( g(x) ) = f( 2x - 1 ) = ( 2x - 1 )² + 3( 2x - 1 )

f( g(x) ) = ( 2x - 1 )² + 3( 2x - 1 )

Simplify

f( g(x) ) = ( 2x - 1 )( 2x - 1 ) + 3( 2x - 1  )

f( g(x) ) = 2x( 2x - 1 ) -1(2x - 1 ) + 3( 2x - 1 )

f( g(x) ) = ( 4x² - 2x  - 2x + 1 ) + 3( 2x - 1 )

f( g(x) ) = ( 4x² - 4x + 1 ) + 6x - 3

f( g(x) ) = 4x² - 4x + 1 - 6x - 3

f( g(x) ) = 4x² - 4x + 6x + 1 - 3

f( g(x) ) = 4x² + 2x - 2

Now,  replace all the occurrence of x with -2 in the function and simplify.

f( g(-2) ) = 4(-2)² + 2(-2) - 2

f( g(-2) ) = 4×4 - 4 - 2

f( g(-2) ) = 16 - 4 - 2

f( g(-2) ) = 10

The composite result function of f( g(-2) ) in the given functions is 10.

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g(x)×h(x) means we will have to multiply the two functions.

[tex]g(x) \times (h(x) = (3 {x}^{2} - 1)( {x}^{2} - x) \\ = 3 {x}^{2} ( {x}^{2} - x) - 1( {x}^{2} - x) \\ = 3 {x}^{4} - 3 {x}^{3} - {x}^{2} + x \\ g(x) \times h(x) = 3{x}^{4} - {x}^{3} - {x}^{2} + x[/tex]

ATTACHED IS THE SOLUTION

Answer:

X>-99/4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2/5x−9<9/10

Step 1: Add 9 to both sides.

−2/5x−9+9<9/10+9

−2/5x<99/10

Step 2: Multiply both sides by 5/(-2).

(5/−2)*(−2/5x)<(5/−2)*(99/10)

x>−99/4

Answer:

x>−99/4

x=102°(Corresponding angles are equal m || n)

HOPE THIS HELPS

The slope of the function as a unit rate for the linear situation. y = [tex]-4\frac{4}{5}[/tex]x + [tex]13\frac{1}{2}[/tex] can be viewed as [tex]-4\frac{4}{5}[/tex] by taking the derivative of the first term of the equation.

The slope m=y/x of a straight-line y=mx+b quantifies the change in y for every unit change in x. This can also be interpreted as a kind of measure of "sensitivity''.

Finding the slope of a function is like finding the rate at which the value of y (the dependent variable) changes in relation to x is what this method entails (independent variable).

To find the slope of a line that is given with the equation of the line, first you have to write the equation of the line in a slope-intercept form.

Then use inverse operations in order to solve for y so that it is written as y=mx+b. Thereafter you can easily spot the slope since the slope is the coefficient of the x variable, or in other words, the number in front of x.

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Answer: Yes, because 4 + 5 > 8

Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle

Answer:

The answer is A) Yes, because 4 + 5 > 8

Step-by-step explanation:

I got it right loves <3

Answer:

166,460 doctors registered.

Step-by-step explanation:

32.2% -------- 53,600 female doctors

100% --------          X

X * 32.2% = 100% * 53,600

X = (100% * 53,600) / 32.2%

X = 166,460 doctors

The value of x is 6 and the measure of angle LJK is 27°.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

We have the measure of the following angles,

m∠JKL = ( 3x - 16 )°

m∠LJK = ( 2x + 15 )°

m∠KLM = ( 8x - 19)°

In ΔJKL, JL is extended through point L to point M.

At point L, the measure of angle JLK will be as,

m∠KLM + m∠JLK = 180°

m∠JLK = 180° - m∠KLM

m∠JLK = 180° - ( 8x - 19)°

m∠JLK = ( 199 - 8x )°

Now,

In triangle JKL,

By angle sum property:

m∠JKL + m∠LJK + m∠JLK = 180°

(3x – 16)° + (2x + 15)° + ( 199 - 8x )° = 180°

- 3x + 198 = 180

- 3x = - 18

x = 6°

Therefore,

m∠LJK = ( 2x + 15 )°

m∠LJK = ( 2(6) + 15 )°

m∠LJK = ( 12 + 15 )°

m∠LJK = 27°

The measure of angle LJK is 27°.

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Answer:

A

Step-by-step explanation:

Do long division. See the attached image for work.

Answer:

B

Step-by-step explanation:

[tex]\frac{56}{90}[/tex]

= 56 ÷ 90

= 0.6222222..

= 0.62 ( with a bar above the 2 , indicating the 2 is repeating )

The water level drop each​ hour by 0.0384 inch

Firstly, the deacrease in water level is takes as per the question

Decrease = 3/8 inches

Decrease=0.375 inches

Then the time interval is calculated

From 10 pm to  7:45 hours will be 9.45 hours

Time interval= (9 + 45/60) hours

Time interval=9.75 hours

Now, the drop in water level per hour is determined, to do so, total water level decreased is divided by the time taken to decrease that water level

that is 0.375/9.75 inches/hour

= 0.03846 inches/hour

Therefore, if between 10 P.M. and 7:45 A.M.​, the water level in a swimming pool decreased by 3/8 inches and the water level decreased at a constant​ rate, the water level drop each​ hour is 0.03846

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Answer:

3.375

3[tex]\frac{375}{1000}[/tex]

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

The first answer divide 81 by 24 and you will get the decimal answer of 3.375.

0.375 is [tex]\frac{375}{1000}[/tex]

[tex]\frac{81}{24}[/tex]  Divide the top and the bottom by 3 to get [tex]\frac{27}{8}[/tex]

Answer: One seventh of the sum of 19: 2.714

Product of 4 and 11: 44

Step-by-step explanation:

4x11=44

One seventh times 19 equal 2.714.

1/7 x 19/1 = 19/7

Simpified 2 5/7

2 5/2 as decimals is 2.714

For the given parallel lines AB and CD, the measure of the angle of the triangle ∠FAB = 25°.

For the given question;

Line AB || Line CD

From the given diagram,

∠CFD = ∠AFB = 110 (corresponding angles)

Now, in triangle ABF

By the property of triangle; sum of all interior angles of triangle is 180.

Thus,

∠AFB + ∠ABF + ∠FAB = 180°

Put the values;

110° + 45° + ∠FAB = 180°

∠FAB = 180° - 155°

∠FAB = 25

Thus, the measure of the angle ∠FAB = 25° in triangle FAB.

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Answer:

[tex]{ \tt{ - \frac{1}{6} = \frac{f - 3}{7 - 1} }} \\ \\ { \tt{6(f - 3) = - 6 }} \\ \\ { \tt{f - 3 = - 1}} \\ \\{ \tt{f = 2}}[/tex]

Answer:-2

Step-by-step explanation:

Answer:

- 2, 7 , - 8

Step-by-step explanation:

substitute the given values of x into the expression

(a)

x = 0 : 3(0) - 2 = 0 - 2 = - 2

(b)

x = 3 : 3(3) - 2 = 9 - 2 = 7

(c)

x = - 2 : 3(- 2) - 2 = - 6 - 2 = - 8

The percentage of money spent on books to that of cost for last semester is 16%

The cost for last semester was 2000.

The cost books was 320.

The percentage formula = part/whole × 100

Part = 320

Whole = 2000

Equation = 320/2000× 100

               = 32/20

               = 16%

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Step-by-step explanation:

we sadly need to do all the multiplications for the whole polynomial in standard form.

the other 3 things we get out of the given form :

we multiply 3 terms, each in x. the result will be x³.

so, we have the 3rd degree.

the leading coefficient is 1, as for the x³ term we get x×x×x = x³. no other number is involved.

the constant term is the extreme on the other end. it is 4×2×1 = 8.

so, now for the full multiplications, that should also show you, why I could make the conclusions above.

(x+4)(x-2)(x+1)

we do this by multiplying first 2 terms with each other, and then we multiply that result by the third term.

remember, we need to multiply every item of one term with every item in the other term.

(x+4)(x-2) = x² -2x + 4x - 8 = x² + 2x - 8

now

(x² + 2x - 8)(x+1) = x³ + x² + 2x² + 2x - 8x - 8 =

= x³ + 3x² - 6x - 8

so, that is already the standard form

f(x) = x³ + 3x² - 6x - 8

Answer: The coordinates W' after a rotation 270° counterclockwise about the origin is (3,-1)

Answer: 3/4 of a gallon

Step-by-step explanation:

1/4 times 1/3 is 3/4 so she would need to buy a gallon of paint