Bryan purchased two triangular wall shelves. The sides of each shelf are 8 inches, 10 inches, and 12 inches. He's trying to build a similar, larger triangular shelf to hang between the smaller ones. Which of the dimensions can Bryan use for the larger shelf so that it is similar to the ones he purchased? Justify why the three triangles are similar.A) 4 inches, 5 inches, and 6 inches; All of the side lengths of the smaller triangles have been multiplied by 1/2 which guarantees side-side-side similarity
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B) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.
C) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-angle-side similarity.
D) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees angle-angle-side similarity.

Answers

Answer 1

Answer: The correct answer is letter B) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity. Similar angles shows congruence when their sides are proportional.

Answer 2

Answer:

Answer:

(B) 16 inches, 20 inches, 24 inches; All the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.

Step-by-step explanation:

The sides of the triangular wall shelves are given as 8 inches, 10 inches and 12 inches. In order to build a larger, similar triangle he must multiply the sides of the triangle wall by 2 so that it follows the similarity conditions,that is:

$(16)/(8) =(20)/(10)=(24)/(12) =(2)/(1)$

Since, we were given the sides of the triangular wall shelves, therefore the new triangle formed will also be formed of three sides.

Hence, Option (B) is correct in which all the sides of smaller triangles are multiplied by 2 which guarantees side-side-side similarity.

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4x+3y = 21 2x+ y= help stuck

Is the following relation a function?x y
-1 -2
2 3
3 1
6 -2
Answer

No

Yes ...?

Answers

Yes, it is definitely a function. Although one might say that it is not a one to one or injective function because of the presence of (-1,-2) and (6,-2).. The correct option among the two options that are given in the question is the second option. I hope that this is the answer that has actually come to your desired help.

48 over 120 = x over 100 cross multiply to get answer of x

Answers

$(48)/(120)=(x)/(100)\ \ \ \ \ |(48)/(120)=(48:6)/(120:6)=(8)/(40)=(8:4)/(20:4)=(2)/(5)\n\n(2)/(5)=(x)/(100)\ \ \ \ |cross\ multiply\n\n5(x)=2(100)\n\n5x=200\ \ \ \ |divide\ both\ sdies\ by\ 5\n\n\boxed{x=40}$

$(48)/(120)=(x)/(100) \n120x=48 * 100 \nx=(48 * 100)/(120) \n x=(48 * 100)/(12 * 10) \nx=4 * 10 \nx=40$

Multiply. Write your answer in simplest form.

1 4/7x 2/5

Answers

The required solution to the given fractions is 22/35.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The fractions are given in the question following:

1 4/7 × 2/5

To multiply fractions, you multiply the numerators (the top numbers) to get the numerator of the answer and multiply the denominators (the bottom numbers) to get the denominator of the answer.

As per the question, we have

⇒ 1 4/7 × 2/5

Convert mixed numbers to fractions

⇒ 11/7 × 2/5

⇒ (11 × 2)/(7 × 5)

Apply the multiplication operation, and we get

⇒ 22/35

Therefore, the answer is 22/35.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

Answer:

22/35

Step-by-step explanation:

Dx+hy=j,forx x= thanx for any and all help

Answers

$dx+hy=j \n \n dx = j-hy \ \ / : \ d \n \nd\neq 0\n \nx=(j-hy )/(d)$

Dx + hy = j

Dx = j - hy

x= (j - hy) / D

Express Fx and Fy in terms of the length of the vector F and the angle θ, with the components separated by a comma.

Answers

Fx, Fy = F cos θ, F sin θ

Further explanation

This is a fundamental problem with vector components.

A vector quantity is some quantities that have the magnitude and a direction. For example, all forces or momentums are vectors.
Whereas, a scalar quantity only has magnitude. For example, all forms of energy are scalars.

The list below shows some recognized methods to represent a vector. i.e., a force.

$\boxed{ \ \textit{\textbf{F}}, \vec{F}, \bar{F} \ }$

It is possible to split one vector into two vectors. This process is called resolving and the vectors that we get are called the components of the original vector.

Vector problems can always be solved by using the mathematics of trigonometry, i.e., the functions of sine or cosine. This is particularly appropriate when resolving.

By using the cartesian coordinate system, see the attachment on how to calculate the values of either these components.

Horizontal component: $\boxed{ \ F_x = \textit{\textbf{F}}\ cos \ \theta \ }$
Vertical component: $\boxed{ \ F_y = \textit{\textbf{F}} \ sin \ \theta \ }$

Here, the angle between the vector F and the horizontal axis we call θ (theta).

As a reminder:

$\boxed{cos \ \theta = (adjacent)/(hypotenuse)} \rightarrow cos \ \theta = (F_x)/(F) \rightarrow \boxed{F_x = F cos \ \theta}$
$\boxed{sin \ \theta = (opposite)/(hypotenuse)} \rightarrow sin \ \theta = (F_y)/(F) \rightarrow \boxed{F_y = F sin \ \theta}$

Learn more

Finding the acceleration between two vectors brainly.com/question/6268248
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Keywords: express Fx and Fy, in terms of the length of the vector F, and the angle θ, with the components, separated by a comma, resolving, split, horizontal, vertical, angle, theta, sine, cosine, trigonometry, cartesian coordinate system

The components of the vector F are $\fbox{\begin\nF\cos\theta\end{minispace}}$ and $\fbox{\begin\nF\sin\theta\end{minispace}}$ .

Further Explanation:

A physical quantity can be defined as the physical property that can be measured and have some value in numbers.

For example- mass, amount of substance, length, time, electric current, temperature, force, light intensity, density, velocity, speed etc.

A quantity is said as a vector if it has some magnitude and direction in order to give the details regarding the quantity.

For example- Force, velocity, current density, electric field, magnetic field, displacement, acceleration, momentum etc.

A quantity is said as a scalar if it has only the magnitude in order to give the details regarding the quantity.

For example- speed, distance, current, volume, density, mass, energy, time, temperature etc.

Given:

The resultant vector is $F$ .

The horizontal component is ${\vec F_x}$ .

The vertical component is ${\vec F_y}$ .

Concept:

Let a vector have some length $F$ and making an angle $\theta$ with horizontal axis.

The triangle rule of resultant vector state that when two vector is denoted by the two sides of the triangle and the magnitude and the direction is taken in the same direction then the third side of the triangle denoted by resultant vector with some magnitude and direction.

The diagram is drawn as shown in the Figure 1.

The vertical component is along y-axis and the vertical component of the vector $\vec F$ is expressed as:

${\vec F_y}=F\sin\theta$

The horizontal component is along x-axis and the horizontal component of the vector $\vec F$ is expressed as:

${\vec F_x}=F\cos\theta$

therefore, the components of the vector F are $\fbox{\begin\nF\cos\theta\end{minispace}}$ and $\fbox{\begin\nF\sin\theta\end{minispace}}$ .

Learn more:

1. Displacement vector https://brainly.in/question/3332823

2. Magnitude of the vector brainly.com/question/12501440

3. Magnitude of the vector brainly.com/question/11538030

Answer Details:

Grade: High school

Subject: Physics

Chapter: Kinematics

Keywords:

Express, Fx, Fy, vector, F, angle, theta, components, Fsin theta, Fcos theta.

Please explain your answer as well!

Answers

Class A     Class B
1 2 3 4 5 6 7 8       4     1 2
      2 3 4 9       5     9
      1 1 4 8       6 2 4 9
       1   7 1 5 7 8 8
      2 5   8 0 3 4 4 6 6 7
   0   9 2 2 5

Mode and Mean for Class A
Mode: 61
Mean: 57.8

Range and Median for Class B
Range: 54
Median: 78

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