In the diagram, AC =BD.

A.true
B.false

1-2-4-4-5-5-5-5-6-9-10-13.

Step-by-step explanation:

it back ward

Answer:

D. Should be your answer!

Step-by-step explanation:

Answer:

a=-14

Step-by-step explanation:

simply both sides of the equation

subtract from a both sides

subtract 5 from both sides

Answer:

The scale factor of the dilation is 6.

Step-by-step explanation:

Dilation of a Triangle

A dilation is a transformation that produces an image that is the same shape as the original but at a different size.

Dilating a point centered at the origin means multiplying its coordinates by a fixed scale factor k.

If point A(3,6) is dilated centered at the origin by a scale factor of 4, then its new coordinates are A'(12,24).

Triangle FGH has vertices F(−5, 0), G(0, 5), and H(5, 0).

It's known a dilation, centered at the origin, is applied to this triangle and the image has vertices F′(−30, 0), G′(0, 30), and H′(30, 0)

Comparing the coordinates F and F', the x-coordinate is scaled by a factor of (-30)/(-5)=6

Comparing the coordinates G and G', the y-coordinate is scaled by a factor of (30)/(5)=6

Comparing the coordinates H and H', the x-coordinate is scaled by a factor of (30)/(5)=6

Since all the scale factors are the same, we can conclude the scale factor of the dilation is 6.

Answer:

the answer will be 6

Step-by-step explanation:

i just multipled 5 to 30

(a) Cylindrical coordinates for (a): (r, θ, z) = (√162, 3π/4, 9)
(b) Cylindrical coordinates for (b): (r, θ, z) = (√256, 4π/3, 5)

Cylindrical coordinates can be defined as three sets of coordinates used to locate a point in a cylindrical coordinate system. In two dimensions, the position of a point can be expressed in Cartesian and polar coordinates. When polar coordinates are extended to the 3D plane, an additional coordinate is added. Together, these three measurements form cylindrical coordinates. Coordinates define both distance and angle.

The radial distance, azimuth, and height of the plane from a point are expressed in cylindrical coordinates. Cylindrical-coordinate systems can be used to describe systems with rotational symmetry.

To convert from rectangular coordinates to cylindrical coordinates, we use the following equations:

r = sqrt(x^2 + y^2)
theta (θ) = arctan(y/x)
z = z

For part (a), we have the rectangular coordinates (-9, 9, 9). Using the above equations, we get:

r = sqrt((-9)^2 + 9^2) = 9 sqrt(2)
theta = arctan(9/-9) = -π/4 (since the point is in the third quadrant)
z = 9

So the cylindrical coordinates for part (a) are (9 sqrt(2), -π/4, 9).

For part (b), we have the rectangular coordinates (-8, 8 sqrt(3), 5). Using the above equations, we get:

r = sqrt((-8)^2 + (8 sqrt(3))^2) = 16
theta = arctan(8 sqrt(3)/-8) = -π/3 (since the point is in the third quadrant)
z = 5

So the cylindrical coordinate for part (b) is (16, -π/3, 5).

Learn more about coordinate:

brainly.com/question/16634867

#SPJ11

The commission for each phone exists $2 and the commission for each accessory exists $9.

Given: Commission on 18 phones and 21 accessories = $204

commission on 6 phones and 14 accessories = $82.

Let the commission of each phone be P and the accessory be A.

From the given information, we get

18P + 21A = 204

6P + 7 A = 68 -----(1)

6P + 14 A = 82 ------(2)

By substitution of (1) in equation (2),

⇒ 68 - 7A + 14A = 82

simplifying both of the above equations we get

⇒ 7A = 14

⇒ A = 2

The value of A = 2.

Commission of each accessory = $2

To estimate the commission on each phone:

6P + 7 x 2 = 68

⇒ 6P = 54

⇒ P = 9

Commission of each phone = $9

Therefore, the required answers are 2 and 9.

To learn more about equations refer to:

https://brainly.com/question/2972832

#SPJ9

In the gap between the two plates, the electric field is constant and directed from the positive plate towards the negative plate. The magnitude of the electric field between the plates is given by:E = / (2).

where σ is the charge density, and ε₀ is the permittivity of free space. The direction of the electric field is from the positive plate towards the negative plate along the negative axis, denoted as E = E b where E is a unit vector in the direction.

Part (b) Expression for the electric potential in the gap between the two plates:

The electric potential between two points is defined as the work done per unit charge in moving a positive test charge from one point to another. Since the electric field in the gap between the plates is constant and only depends on the charge density, the potential difference (V) between the two plates is given by:

V = E d

where E is the magnitude of the electric field and d is the separation between the plates. The negative sign arises because the potential decreases as we move from the positive plate to the negative plate. Thus, the expression for the electric potential in the gap between the two plates is E d. The electric potential at any point within the gap is then obtained by subtracting the potential at the negative plate (which is zero) from the potential at that point.

Learn more about parallel plates here:

brainly.com/question/32237278

#SPJ11

Answer:

40 people

Step-by-step explanation:

First thing, you have to find the area below the 40 - 55 line in the histogram. The area can be find using the area of a rectangle: side × side

Doing this you'll find an area of 60.

After that, find the total area of the histogram in the same way: separate it in rectangles and use the formula for the area of a rectangle, and after you'll find a total area of 100

Now you have to do a rule of three:

We know from the question statement that the amount of people with 40 - 55 years old is 25, and that area correspond to 60, so:

60 ------- 24

100 ------- x

60•x = 24•100

60x = 2400

x = 2400/60

x = 40

Answer:

k = 15

Step-by-step explanation:

k² = 225

k = √225

k = 15

Thus, K = 15

-TheUnknownScientist

Answer:

Step-by-step explanation:

The slopes of parallel lines are equivalent, so you are correct.

Answer:

Jay has $72

Step-by-step explanation:

$87-$15=$72

Answer: Jay has $72.

Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.

Answer: C

Step-by-step explanation:

proportional relationship will have an equation that goes through the origin (0,0)  

The equation for C will not go through the origin because it has a y-intercept of -1  and the line will be going through (0,-1) instead of (0,0).

All the other equations will be going through the origin because they have no y intercepts.

Answer:

5×3+5×w

Step-by-step explanation:

The most extreme region of the square shape will be 52812.5 square meters.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A farmer with 650 meters of fencing wants to enclose a rectangular plot that borders a river.

The dimensions are x and 650 - 2x.

A = x(650 - 2x)

A = 650x - 2x²

Differentiate the function, then we have

A' = 0

650 - 4x = 0

x = 650 / 4

x = 162.5

Then the maximum area of the rectangle will be

A = 650 (162.5) - 2 (162.5)²

A = 52812.5 square meters

The maximum area of the rectangle will be 52812.5 square meters.

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ1

The correct answer is as follows:

B. Dilations take perpendicular lines to perpendicular lines since it preserves orientation.

C. Dilations of an angle are congruent to the original angle.

F. Dilations of a triangle are similar to the original triangle.

A dilation is a transformation that yields a different-sized image with the same general shape as the original. Enlargements are dilations that result in a larger image. Reduction is the name for a dilation that shrinks the image.

Transformation exists the movement of a point from its initial location to a unique location. Types of transformation exists rotation, reflection, translation and dilation.

Dilation is the increase or decrease in size of an object by a factor k. If k > 1, it is an enlargement but if k < 1, it is a decrease. Dilation preserves the orientation of an object  but changes the size.

The correct answer is as follows:

B. Dilations take perpendicular lines to perpendicular lines since it preserves orientation.

C. Dilations of an angle are congruent to the original angle.

F. Dilations of a triangle are similar to the original triangle.

The complete question is:

Select all the true statements.

A Dilations always increase the length ofline segments.

B. Dilations take perpendicular lines to perpendicular lines.

C. Dilations of an angle are congruent to the original angle.

D. Dilations increase the measure of angles.

E. Dilations of a triangle are congruent to the original triangle.

F. Dilations of a triangle are similar to the original triangle,

To learn more about Dilations refer to:

brainly.com/question/13176891

#SPJ1

Answer:

$0.10 (nearest cent)

10.5¢

Step-by-step explanation:

Given:

To find the approximate unit price per ounce, divide the cost of the can by the number of ounces in the can:

\(\implies \dfrac{0.89}{8.5}=0.104705882...\)

Therefore, the approximate unit price per ounce is $0.10 (nearest cent) or 10.5¢ (nearest half cent).

Rotation = twist a shape

Reflection = flip a shape

Translation = slide a shape

Dilation = enlarge or reduce a shape

Congruent = same size, same shape

Rigid Motion = type of transformation that creates congruent figures

The x-intercept is 19.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate; y₁ - y coordinate

m - slope

Given the equation as;

Y=10x/3+19

Then;

the slope m = 10/3

The intercept is 19.

Hence, the x  intercept is 19.

Learn more about equations here;

brainly.com/question/25180086

#SPJ1

Answer:

360 ft

Step-by-step explanation:

to find the total distance between the bases, you would multiply 90 by 4!

if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!

If you were able to add the numbers 26 and 41 in your head, it is assumed that you would be doing this in your working memory.

A cognitive apparatus known as working memory has a finite capacity and can only temporarily store information. It is crucial for reasoning, decision-making, and behaviour direction. When working on a long-division problem, kids use their working memory abilities to retain the long-division steps. Other instances include keeping track of complicated instructions, taking notes in class, recalling an argument while someone else is speaking, or performing mental calculations. In contrast to long-term memory, which stores a large amount of knowledge over a lifetime, working memory is the little amount of information that may be kept in mind and used to carry out cognitive tasks. One of the most often used concepts in psychology is working memory.

Given,

If you were able to add the numbers 26 and 41 in your head, it is assumed that you would be doing this in your:

d) Working memory

To learn more about working memory, visit:

https://brainly.com/question/6292992

#SPJ4

\(( {t + 8})^{3} = {t}^{3} + 3 \times ({t})^{2} \times( 8) + 3 \times (t) \times ( {8})^{2} + {8}^{3} \\ \)

So :

\( ({t + 8})^{3} = {t}^{3} + 24 {t}^{2} + 192t + 512\)

Answer:-3x^2(9x^5-5)

Step-by-step explanation:

Step-by-step explanation:

-3x2(x2)-9x3+25x2

-3x2(x2+3x-5)

Answer:4.7

Step-by-step explanation:

We οbtain JN  44.3 by rοunding tο the nearest tenth, Length οf side JN is rοughly  44.3 units lοng as a result. Therefοre 44.3 is the right respοnse.

The sides οf a triangle are straight lines that are jοined by the three vertices οf the triangle. In οther wοrds, we can say that the sides οf a triangle are line segments that meet each οther at the vertices οf the triangle.

The sides οf a right-angled triangle can be fοund οut by using variοus methοds like the Pythagοras theοrem οr by using the perimeter οf the triangle. In case sοme οf the angles and οther side lengths are given, we can use the law οf cοsines οr the law οf sines tο find the lengths οf the sides οf a triangle.

Law of sines

sin(∠A)/a = sin(∠B)/b = sin(∠C)/c

Therefore,

39/sin(53°) = JN/sin(65°)

JN = (39×sin(65°))/sin(53°)

JN = 44.3

To know more about Length visit:-

brainly.com/question/19131268

#SPJ1

Answer:Mean=17, Mode=6

Step-by-step explanation:

1) Put all numbers in order from smallest to greatest. 3,6,6,15,17,24,28,37 (15 and 17 are the two middle numbers in this 8-number series, so to get the median we must add 15 and 17 and then divide by 2 to get 16)

2)The MEAN is found by adding all the numbers in the series and dividing by the total number of numbers (8). 136/8=17

3) The MODE is the number in the series that occurs most often. 6 appears twice and all the other numbers only appear once, so 6 is the mode.

Answer:

ur correct

Step-by-step explanation:

if ∠N and ∠Y are the same then we know the missing angle is 30.°  

30

Step-by-step explanation:

do angle sum property

x + z + y = 180

60 + 90 + y = 180

150 + y = 180

y = 180-150

y = 30

Answer:6

Step-by-step explanation:

-4xy

-4(1/2)(-3)

-4(-1.5)

6

Answer:

Step-by-step explanation:

Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side

Step-by-step explanation: