What is the value of x in the following equation?

Use rotation, and the angles and side lengths remain the same.

ACB=BED

BAC=BDE

ABC=EBD

AC=ED

AB=BD

BE=CB

Rotation rigid transformation can be used to map triangle ABC on to triangle DBE.

The angles ACB, BAC, ABC of given image are equals to the angles of preimage BED, BDE and EBD respectively. That is

ACB=BED

BAC=BDE, and

ABC=EBD

Also the sides AC, AB, and BE of the given image are equals to the sides of preimage ED, BD, and CB respectively. That is

AC=ED

AB=BD, and

BE=CB

The corresponding sides are

AC and DE

AB and BD

CB and EB

And the corresponding angles are

∠ACB and ∠BED

∠ABC and ∠EBD

∠CAB and ∠EDB

A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.

The three types of rigid transformation are:

1) Translation

2) Reflection

3) Rotation

According to the given question.

Triangle ABC is transformed to triangle DBE.

(a) Rotation rigid transformation can be used to map triangle ABC on to triangle DBE. If we rotate triangle ABC at 180 in clockwise direction the triangle ABC maps on to triangle DBE. ( A rotation is followed by another rotation).

(b) The angles ACB, BAC, ABC of given image are equals to the angles of preimage BED, BDE and EBD respectively. That is

ACB=BED

BAC=BDE, and

ABC=EBD

Also the sides AC, AB, and BE of the given image are equals to the sides of preimage ED, BD, and CB respectively. That is

AC=ED

AB=BD, and

BE=CB

(c) The corresponding sides are

AC and DE

AB and BD

CB and EB

And the corresponding angles are

∠ACB and ∠BED

∠ABC and ∠EBD

∠CAB and ∠EDB

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Answer:

Option (d) is correct.

Slope of given line y = 5x -4 is 5

Step-by-step explanation:

Given equation of line as y = 5x - 4

We have to find the slope of given line.

For the general equation of line y = mx + c , where m is the slope of line and c is the y- intercept.

Slope of line is given by derivative the equation of line with respect to x, that is

Consider the given equation y = 5x - 4

then slope is

Thus, slope of liven line is 5 .

Also, by comparing the given equation with general equation the slope of line is 5 .

Thus, option (d) is correct.

Step-by-step explanation:

Answer:

3 and 4 it is 60

is the answer

if you like my answer please like comment and mark me as brilliant

Answer:

You must be in 8th grade?

Step-by-step explanation:

For the first one I don't know.

The second one I'm also not sure about.

The third one, the answer is 225 because you will divided 150 by 2 and get the answer of 75 and then multiply 75 by 3 to get the answer of 225.

For the fourth one, you will multiply 5 x 2.5 = 12.5 then you will multiply 12.5 x 20 = 250yd^2.

For the last one you will multiply 2.25 x 22 = 49.5 miles.

Answer:

BBB L U E is showing where some parts are and possible corridnates

Step-by-step explanation:

Answer:

she should put the sun 2.8 miles away

Step-by-step explanation:

had this question and got it right.

Explanation:

A diameter is a special type of chord that passes through the center of the circle.

A chord is any segment where both endpoints are on the edge of a circle.

Any diameter is a chord, but not the other way around. See the example below.

Answer:

each of his piles are 6 ounces each

Step-by-step explanation:

first, I multiplied rayes amount by 3 (18x3) because it said he got 3 time as much as he then with that answer I divided it by nine because they also said that he was able to split his pile up into nine equal piles.(54/9=6)

The data is dispersed in a box plot with the data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24 is shown in the image attached.

To create a box plot for the given data set:

25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, and 24

One first need to look for some key statistics that will help one make  the plot and they are

So first sort the data in ascending order:

The lines coming out from the box (whiskers) show the smallest and largest values that are within a certain range around the middle of the data. Any data points that are different from the others and fall outside a certain range are called outliers. These outliers are shown separately on a graph.

The box plot shows us how the data is spread out and gives us information about the average value and any very high or very low values.

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Answer and explanation:

First, the domain is all real numbers except 0, since x = 0 is the asymptote.

D: x ∊ R, x ≠ 0

or

D: (-∞, 0) ∪ (0, ∞)

The range is everything below y = 0.

R: y < 0

or

R: (0, -∞)

Next, this function is never constant so there are only intervals of increasing and decreasing. The intervals meet at x = 0.

inc: x > 0

dec: x < 9

or

inc: (0, ∞)

dec: (0, -∞)

Answer:

4

Step-by-step explanation:

If you count the X's you should count 4 X's so 4 apples weigh 5/8 pounds

Using proportions, it is found that the table will be 110 feet long when the carpenter builds it.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In the drawing, 0.75 inches represent 11 feet. The drawing is of 7.5 inches, and the real dimension is of d, hence the rule of three is given by:

0.75 inches - 11 feet.

7.5 inches - d feet

Applying cross multiplication:

0.75d = 7.5 x 11

d = 7.5 x 11/0.75

d = 110.

The table will be 110 feet long when the carpenter builds it.

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The scale model of the table would ensure that the actual table is bigger than the scale model

The length of the table would be 110 feet

The scale model is given as:

Ratio = Scale : Actual

So, we have:

Ratio = 3/4 inches : 11 feet

For a table of 7 1/2 inches, we have the following ratio

Ratio = 7 1/2 inches : Actual

Equate both ratios

7 1/2 inches : Actual = 3/4 inches : 11 feet

Express as decimals

7.5 inches : Actual = 0.75 inches : 11 feet

Rewrite as:

7.5 : Actual = 0.75 : 11 feet

Express as fraction

Actual/7.5 = 11 feet/0.75

Multiply both sides by 7.5

Actual = 7.5 *  11 feet/0.75

So, we have:

Actual = 110 feet

Hence, the length of the table would be 110 feet

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Answer:

44 inches

Step-by-step explanation:

i hope this heped

Answer:

The triangle specified is not a right triangle.

Step-by-step explanation:

The angles of a right triangle will always add up to 180 degrees. The angles specified add up to 270 degrees.

There will also always be a 90 degree angle which makes up the right angle.

Since there will always be a 90 degree angle, the other angles will have to add up to 90.

Answer:

No, it isn't.

Step-by-step explanation:

The Pythagorean theorem doesn't work here.

The answer is 989

Hope it helps :)

Hey there!

4^5 + 72/9 - 43

= 4 * 4 * 4 * 4 * 4 + 72/9 - 43

= 16 * 16 * 4 + 72/9 - 43

= 256 * 4 + 72/9 - 43

= 1,024 + 72/9 - 43

= 1,024 + 8 - 43

= 1,032 - 43

= 989

Therefore, your answer is: 989

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The point marked on the number line is  -3 1/4.

A number line is a straight line drawn horizontally where the numbers are placed at an equal intervals.

Given is a number line.

A point is marked in between -3 and -4.

In between -3 and -4, the region is equally spaced in to 4 parts.

The point is market at 1/4 distance from -3.

So the point can be written as -3 1/4.

In the decimal form, it is -3.25.

Hence the marked point is  -3 1/4.

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Answer:

how is annyone going to know that?

Step-by-step explanation:

Answer:

P ≈ 25 units

Step-by-step explanation:

LM = 12 units ( horizontal line )

use the distance formula to find length of other 2 sides.

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = L (- 3, 2) and (x₂, y₂ ) = M (3, 5 )

LM = [tex]\sqrt{3-(-3))^2+(5-2)^2}[/tex]

     = [tex]\sqrt{(3+3)^2+3^2}[/tex]

     = [tex]\sqrt{6^2+9}[/tex]

     = [tex]\sqrt{36+9}[/tex]

     = [tex]\sqrt{45}[/tex]

Repeat with (x₁, y₁ ) = M (3, 5) and (x₂, y₂ ) = N (9, 2)

MN = [tex]\sqrt{(9-3)^2+(2-5)^2}[/tex]

     = [tex]\sqrt{6^2+(-3)^2}[/tex]

     = [tex]\sqrt{36+9}[/tex]

     = [tex]\sqrt{45}[/tex]

Then perimeter P is the sum of the 3 sides

P = 12 + [tex]\sqrt{45}[/tex] + [tex]\sqrt{45}[/tex] = 12 + 2[tex]\sqrt{45}[/tex] ≈ 25 units ( to the nearest unit )

Answer:

0.6

Step-by-step explanation:

You count how many pieces there are in total, and then you subtract the blue pieces from the total which is 3.  Then you need to convert 5/8 into a decimal.

Answer:

198 ft

Step-by-step explanation:

say ty tp my cat

^-^

Answer:

The slope is 13 and the y-intercept is -2

Step-by-step explanation:

y=13x-2

y=mx+b

the slope is the value in front of x : m: 13

the y-intercept is b, which is -2

The equation of the line is written in Slope-Intercept Form (y=mx+b, where m -> slope & b -> y-intercept)

So all we have to do is look at the equation.

The equation is:-

[tex]\sf{y=\displaystyle\frac{1}{3}}x-2}[/tex]

Notice that the slope is the coefficient of x, and the y-intercept is a constant.

Hence, the slope of the line is:-

[tex]\sf{\displaystyle\frac{1}{3}}[/tex]

And the y-intercept is:-

[tex]\bold{-2}[/tex]

[tex]\boxed{\boxed{\bold{Option~D~is~correct}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

a

Step-by-step explanation:

Answer:

The maximum Number of stars she could make is the whole number value (discarding the remainder) = 3

Step-by-step explanation:

if this helps mark brainllest

Answer:

3

Step-by-step explanation:

19 = 5 + 5 + 5 + 4

1 sticker, 5 stars

3 stickers, 15 stars.

thanks I hope this is helpful

mark me as a brainlest you get 3 points!

Answer:

Step-by-step explanation:

-7/8

Answer:

216 cm squared

Step-by-step explanation:

Bottom: a single 6*6=36

4 sides: 6*5=30 each

Triangles 6 by 5. the formula for a triangle means that 2 of the triangles equals a square  

6*5*2=60

36+120+60=216 cm squared

Multiply each coordinate with scale factor

Option D

Step-by-step explanation:

162 kilometers = 162000 meters

1 hour = 3600 seconds.

162,000 meters/3600 seconds=45 meters/second=45 m/s

45*10=450

Answer:

A.3/8

Hoped this helped

There are infinitely many solutions to a linear equation with the same variable term on both sides of the equation.

We have to find the coefficient of "b"

from first equation:

from second equation:

solve them simultaneously: