is 10/x linear or nonlinear

The triangles ΔIGH and ΔGFE are similar triangles. So, GJ / GE = HG / FG, then the side FE is parallel to the side HI.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the corresponding sides will be constant then the triangles will be similar triangles and the third sides of the triangles will be parallel.

GJ / GH = GK / GI, then the side KJ is parallel to the side HI.

In triangles ΔIGH and ΔGFE, then we have

∠IGH = ∠FGE        (Vertival angle)

∠1 = ∠2                         (Given)

Then the triangles ΔIGH and ΔGFE are similar triangles. Then we have

GJ / GE = HG / FG, then the side FE is parallel to the side HI.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ9

The worm is travelling at a speed of 0.0018 meter per second.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Total distance travelled by the worm = 1.3 m

The worm starts moving at 9 hour 12 minutes and reaches the end of the path at 9 hour 24 minutes.

Total time taken = 24 - 12 = 12 minutes

Speed = Distance / Time

Speed = 1.3 / 12

           = 0.1083 meter / minute

           = 0.0018 meter per second

Hence speed of the worm is 0.0018 meter per second.

Learn more about Speed here :

https://brainly.com/question/13680494

#SPJ9

According to the information, the area of this quadrilateral, trapezoid is 42 cm.

To calculate the area of the figure we must first graph it. Once we have found its shape we must identify what type of quadrilateral it is, in this case we can affirm that it is a right trapezoid.

On the other hand, to calculate its area we must divide the figure in two, one part would be the quadrilateral and the other the triangle. So we need to find the area of both shapes and then add them.

So the total area would be 42cm²

Learn more about area in: https://brainly.com/question/27683633

#SPJ1

There are 71,536,320 ways to arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously.

There are 4 suits in a standard deck of 52 cards, and we need to arrange all the cards in a given suit contiguously. Once we choose a suit to be arranged in this way, we can treat it as a block of 13 cards that need to be arranged. Therefore, we have reduced the problem to arranging 4 blocks of 13 cards each, where each block represents a suit.

Within each suit, there are 13! ways to arrange the cards. However, once we arrange the cards in one suit, we fix the relative positions of the cards in the other suits. Therefore, we only need to consider the number of ways to arrange the suits themselves.

There are 4! = 24 ways to arrange the 4 suits. For each of these arrangements, there is only one way to arrange the cards within each suit contiguously. Therefore, the total number of ways to arrange the deck of cards so that all cards in a given suit appear contiguously is:

13! x 24 = 71,536,320

Learn more about permutations and combinations here: brainly.com/question/4658834

#SPJ4

The closest answer to initial value of the account is $538,021.66

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r  =  = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

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

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives,[tex]PV = PMT[(1 - (1 / ( 1 + r)^n)) / n]= 4567[1 - (1 / 1.00253^40)) / 0.00253][/tex]

= 4567[(1 - 0.70254) / 0.00253]

= 4567[117.80636]

= $538,021.66

So, the closest answer to initial value of the account is $538,021.66

Learn more about banking at:

brainly.com/question/29616806

#SPJ1

Answer:

If a = -8 and b = -1 there is exactly one solution to the equation

Step-by-step explanation:

I was unable to find the other one...

Are you sure there are two possible solutions, or did you forget to include one of the options...?

The length of the base, x, of the larger flag is 6.25 ft.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

The two flags are similar using the AA criteria.

Thus, the ratio of the segments of the two triangle are equal.

4/5 = 5/x

4x = 25

x = 25/4

x = 6.25 ft

Hence, the length of the base, x, of the larger flag is 6.25 ft.

Learn more about similar triangles here:

https://brainly.com/question/29731302

#SPJ1

y = 2/5x +24/5, is the equation  which represents a line that passes through (-2, 4) and has a slope of 2/5.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point (-2,4) into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

Hence, y = 2/5x +24/5, is the equation  which represents a line that passes through (-2, 4) and has a slope of 2/5.

To learn more on Equation 0f Straight-Line click:

https://brainly.com/question/30216543

#SPJ9

Answer: y= -1

Step-by-step explanation:

1) Distribute the 4 to the y and the -6 to get 4y-24, so our new equation is -36= 8y+4y-24.

2) Add like terms 8y and 4y to get 12y. Our new equation is -36=12y-24.

3) Remove the constant -24 by adding 24 to both sides to get -12=12y.

4) Remove the coefficient 12 by dividing 12 on both sides to get y= -1  

There are [tex]10^{4}[/tex] = 10,000 different possible musical entertainment lineups that can be created from a list of 10 songs.

This is computed by using the formula for combinations without repetition, which is [tex]n^{r}[/tex], where n is the number of items in the list and r is the number of items to be selected. In this case, n = 10 and r = 4, which results in [tex]10^{4}[/tex] = 10,000.

It is important to note that this calculation does not take into account any repetitions of songs, so if the same song appears more than once in the list, then the actual number of possibilities could be less. For instance, if there is a list of 10 songs, but 5 of them are the same, then the number of possible lineups would be[tex]10^{4/5}[/tex]! = 800, taking into account the repetitions.

To illustrate this further, if we were to list all the possible lineups, then we would end up with 10,000 unique combinations of 4 songs. For instance, a possible lineup could be Song 1, Song 5, Song 8, Song 10. Another possible lineup could be Song 4, Song 7, Song 9, Song 10. This process could be repeated with any combination

Learn more about combinations here:

https://brainly.com/question/20211959

#SPJ4

The number of cups of flour should be used if 12 cups of sugar are used is 6.

Determine the purpose of the relationship. Start by identifying what you want the ratio to show. Each ratio uses different data, so you need to make sure you're using the correct information to get the details you need.

set the formula. A ratio compares two numbers, usually by division. When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10.

Solve the equation. Divide data A by data B to get the ratio. In the example above, 5/10 = 0.5.

16 cups of flour are mixed with 8 cups of sugar and for 12 cup ratio should be same

so 16/8 = 12 /x

x = 6

know more about ratio click here;

https://brainly.com/question/18956877

#SPJ4

By using the unitary method to find out that Priya practiced the violin for 45 minutes, which is 75% of the time Han spent practicing the piano.

Unitary method is a method that involves finding the value of one unit and then using that value to find the value of multiple units. This method is particularly useful in solving problems that involve proportions, ratios, and rates.

Now let's apply the unitary method to the given problem. We know that Han practiced the piano for 60 minutes over the weekend. We also know that Priya practiced the violin for 75% as much time as Han practiced the piano. To find out how long Priya practiced, we need to first find out how long 75% of Han's practice time is.

To do this, we can use the following equation:

75% of Han's practice time = 75/100 x 60 minutes

= 45 minutes

So Priya practiced the violin for 45 minutes over the weekend.

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4

Answer:

17

Step-by-step explanation:

jdjieieiieieieieieie

Answer:

# of appointments is 3

Step-by-step explanation:

He makes $75 per appointment, which means this immediate value is directly dependent on the number of appointments (x). So it can be given by 75x.

Tips are simply added, tips are not directly dependent on the number of visits as customers will tip differently so we can add $40 to the equation.

Now we must negate the expenses, each appointment there is a fee of $10. So it can be given as 10x.

We know that this all must equal $235.

So the equation is as follows:

235 = (75x)+40-(10x)

Simplifying we get

235 = 65x + 40

195 = 65x

195/65 = x

x = 3

Therefore, Logan had 3 appointments.

Check the picture below.

so the figure is really just a semi-circle, a rectangle and three triangles, let's simply get their area and sum them all up.

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ semicircle }{\cfrac{1}{2}\pi (2)^2}~~ + ~~\stackrel{ rectangle }{(4)(5)}~~ + ~~\stackrel{ triangle }{\cfrac{1}{2}(\underset{b}{3})(\underset{h}{2})}~~ + ~~\stackrel{ triangle }{\cfrac{1}{2}(\underset{b}{4})(\underset{h}{1})}~~ + ~~\stackrel{ triangle }{\cfrac{1}{2}(\underset{b}{4})(\underset{h}{2})}} \\\\\\ 2\pi ~~ + ~~20~~ + ~~3~~ + ~~2~~ + ~~4 ~~ \approx ~~ \text{\LARGE 35.28}[/tex]

To represent Brandon's total collection of quarters and dimes, let's use variables.

Let:

q be the number of quarters

d be the number of dimes

The following equations can be used to represent the given information:

The quarters and dimes are worth a total of $9.6:

0.25q + 0.10d = 9.6

The quantity of quarters is 348 less than 8 times that of dimes.

q = 8d - 348

To get a solution for one of the variables, we can use substitution. We may solve for d by substituting the expression for q from equation 2 into equation 1:

0.25q + 0.10d = 9.6

0.25(8d - 348) + 0.10d = 9.6 (substitute q = 8d - 348)

2d - 87 + 0.10d = 9.6

2.10d = 96.6

d = 46

Now that we know d = 46, we can use equation 2 to solve for q:

q = 8d - 348

q = 8(46) - 348

q = 16

Therefore, There are 46 dimes and 16 quarters in Brandon.

To learn more about quarters , visit the link below:

https://brainly.com/question/26563601

#SPJ4

The independent variable of the question is c:the number of cars Lamar and Allie wash while the dependent variable is s: the number of hockey sticks Lamar and Allie will be able to purchase

The independent variable is defined as the variable that you change and control in your experiment. The dependent variable is defined as the variable that you don't have control over and is affected by the way that the independent variable reacts.

The parameters given are;

s = the number of hockey sticks Lamar and Allie will be able to purchase

c = the number of cars Lamar and Allie wash

Now, since the number of cars they wash determines how much money they will get to buy a new car, then we can say that c is the independent variable while s is the dependent variable as it depends on c to be actualized.

Read more about independent and dependent variables at; https://brainly.com/question/25223322

#SPJ1

Donna is not correct, as the mean is of 7.1 kg, which is greater than 7 kg.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The sum of the data-set in this problem is given as follows:

4 x 5 + 5 x 9 + 1 x 6 = 71 kg.

The number of observations is given as follows:

10.

Hence the mean is given as follows:

71/10 = 7.1 kg > 7 kg.

More can be learned about the mean of a data-set at brainly.com/question/1156334

#SPJ1

Answer:

22/7 or 3 1/14

Step-by-step explanation:
the most common denominator is 28 for both so the denominator is 28
then added them and simplified them in mixed and normal form because I forgot which was which. Hopefully this is correct, if not I am sorry.

The dot product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex]  in terms of the positive scalar quantities a, b, c, and d is:

[tex]\vec{A}.\vec{B}=-ab[/tex]

The scalar product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex] is given by the formula:

[tex]\vec{A}.\vec{B}=(a_1*b_1) + (a_2*b_2) + (a_3*b_3)[/tex]

Where a₁, a₂, and a₃ are the components of vector [tex]\vec{A}[/tex] and b₁, b₂, and b₃ are the components of vector [tex]\vec{B}[/tex].

In this case, vector A = (ai - bk) and vector B = (- cj + dk), so the components of vector A are a₁ = a, a₂ = 0, and a₃ = -b, and the components of vector B are b₁ = 0, b₂ = -c, and b₃ = d.

Plugging these values into the formula for the dot product, we get:

[tex]\vec{A}.\vec{B}=(a*0) + (0*-c) + (-d*b)\\\\\vec{A}.\vec{B}= 0 + 0 + (-bd) \\\\\vec{A}.\vec{B}=-bd[/tex]

More information on the scalar product here:

https://brainly.com/question/17401277

#SPJ11

The solution of the given system of linear equations is (1, -1)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given is a system of linear equations, x - 3y = 4 and y = -3x + 2, we need to find the point which is the solution of the system,

The linear equations are :-

x-3y = 4...(i)

y = -3x+2....(ii)

Put eq(ii) in eq(i)

x-3(-3x+2) = 4

x+9x-6 = 4

10x = 10

x = 1

Put x = 1 in eq(ii)

y = -3+2

y = -1

Therefore, the solution point is (1, -1)

We can find the solution point by graphing method also, we will plot the graph of the lines and the line where intersects is the solution point is (1, -1) [attached]

Hence, the solution of the given system of linear equations is (1, -1)

Learn more about linear equations, click;

https://brainly.com/question/29739212

#SPJ9

The complete question is (Multiple Choice Worth 2 points)

(Systems of Linear Equations MC)

Which point is a solution of the system of linear equations?

x - 3y = 4

y = -3x + 2

A) (9,0)

B) (-5, 8)

C) (1, 1)

D (1, -1)

The solution of x in the triangle is 11.5

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

The triangle

Using the Pythagoras theorem, we have the following equation

x^2 = 13^2 - 6^2

Evaluate the expression

x^2 = 133

Take the square roots of both sides

x = 11.5

Hence, the solution is 11.5

Read more about triangles at

https://brainly.com/question/14285697

#SPJ1

If Johnny sets his watch 2 days ado then after two days watch will behind 18 seconds.

Addition is a basic mathematical operation that combines two or more numbers to give a total or sum. It is one of the four elementary arithmetic operations, along with subtraction, multiplication, and division. The operation involves adding or combining the values of two or more numbers, which are called addends, to produce a new value, which is the sum or the total.

If Johnny last set his watch 2 days ago,

we can substitute d = 2 into the equation:

s = d + 16

To find out how many seconds behind his watch is.

s = d + 16

s = 2 + 16

s = 18

So, Johnny's watch is 18 seconds behind if he last set it 2 days ago.

To know more about addition check:

https://brainly.com/question/28222269

#SPJ9

The statement that is true is:

b.) A high correlation can indicate a relationship but cannot prove causation.

Correlation measures the strength and direction of the relationship between two variables, but it does not necessarily imply causation. A high correlation means that there is a strong linear relationship between the two variables, but it does not indicate whether one variable causes the other. There can be other factors that influence the relationship. Therefore, it is important to use other methods, such as experiments or observational studies, to determine causation. Correlation is useful for identifying associations between variables, but it cannot be used as evidence of a causal relationship.

Learn more about Correlation and causation here brainly.com/question/10971583

#SPJ4

Danielle's sales last week were $. At her job at an electronics store, Danielle receives a  $4,295.16 commission on every sale.

What is an electronics store?

Let's start by first finding out how much commission Danielle earned last week. We know that her total earnings were $1,058.25 and her base salary was $725 per week. Therefore, her commission must have been:

                          $1,058.25 - $725 = $333.25

We also know that Danielle earns a 7.75% commission on everything she sells. Let's use "x" to represent her total sales last week. Then we can set up an equation to solve for x:

                                   0.0775x = $333.25

Solving for x, we get:

x = $333.25 / 0.0775

x = $4,295.16

Therefore, Danielle's sales last week were $4,295.16.

To learn more about electronics store refer to:

brainly.com/question/29860542

#SPJ1

Answer:

C) E=118°, T=118°

Step-by-step explanation:

The angles inside a quadrilateral (shape with four sides) always add to 360°. So this means:

W+E+S+T=360°

29°+E+95°+T=360°

E+T=360°-124°=236°

Note that the shape contains two congruent triangles (they share equal sides) ΔEWS and ΔTWS. This means their angles are the same so E=T

If E=T and E+T=236°, then E=T=236°/2=118°

Answer:

C) E-118°, T=118° is the answer

Coordinates of the point on the directed line segment from (1, 2) to (6,7) that partitions the segment into a ratio of 2 to 3 are (3, 4).

Using proportions, it is found that the coordinates of the desired point are (2,2).

The first point is A(1, 2)

The second point is B(6, 7)

The desired point is C(x, y)

The point C partitions the segment AB into a ratio of 3 to 2, hence:

[tex]C - A = \frac{2}{5}(B - A)[/tex]

This proportion is applied using both the x and y coordinates of the points, hence:

[tex]x - 1 = \frac{2}{5}(6 - 1)[/tex]

x - 1 = 2

x = 3

Now, [tex]y - 2 = \frac{2}{5} (7 - 2)[/tex]

y - 2 = 2

y = 4

Therefore the coordinates of the points are (3, 4).

To know more about proportion

https://brainly.com/question/24454894

#SPJ4

In a case whereby the  total mass of a box and some oranges was 25 kg. The total mass of the same box and some apples was 11 kg. The mass of the oranges was 3 times the mass of the apples, the mass of the oranges is 21kg.

The concept that will be used here is simplificatiopn.

We can set up as:

let a represent the box

let b represent the orange

lect c represent the apple

Then a + b = 25

a+ c = 11 ....................................................(2)

b = 3c.......................................(3)

substract equation 2 from 1

b-c = 11 ....................................(4)

substitute eqn 3 into 4

b-c = 14

3c - c =14

2c= 14

c= 7

from eqn 3

b = 3c

b = 3*7 =21

Then mass of orange = 21 kg

from  eqn 2

a+ c = 11

a= 11-7= 4

mass of empty box = 4kg

Learn more about mass at:

https://brainly.com/question/25959744

#SPJ1

Answer:

f(-3)=4

Step-by-step explanation:

The answer is 4. To get f(-3), you must plug in -3 into the x.

Therefore, -4(-3)-8=f(-3).

Then you multiply -4 and -3. 12-8=f(-3)

Finally, you subtract 8 and get the answer:

f(-3)=4

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4.8 \times 10 {}^{8}}{ 1.6 \times 10 {}^{ - 4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4.8 }{ 1.6 } \times \dfrac{10 {}^{8} }{10 {}^{ - 4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times10 {}^{(8 - ( - 4))} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times10 {}^{(8 + 4)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times10 {}^{12} [/tex]

So, The correct choice is : A.) 3 × 10¹²