Solve Similar Triangles (advanced)

Solve for X.

Solve Similar Triangles (advanced)Solve For X.

Answers

Answer 1

Given:

[tex]m\angle B=90^\circ, m\angle D=90^\circ, AB=6, BD=4, BC=2, DE=x[/tex].

To find:

The value of x.

Solution:

In triangles ABC and ADE,

[tex]\angle B\cong \angle D[/tex]              (Right angles)

[tex]\angle A\cong \angle A[/tex]              (Common angles)

[tex]\Delta ABC\sim \Delta ADE[/tex]              (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{AB}{AD}=\dfrac{BC}{DE}[/tex]

[tex]\dfrac{6}{(6+4)}=\dfrac{2}{x}[/tex]

[tex]\dfrac{6}{10}=\dfrac{2}{x}[/tex]

[tex]\dfrac{3}{5}=\dfrac{2}{x}[/tex]

On cross multiplication, we get

[tex]3\times x=5\times 2[/tex]

[tex]3x=10[/tex]

[tex]x=\dfrac{10}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{10}{3}[/tex] units.


Related Questions

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

Option C

20, 21, 29 represents three sides of a right triangle

Step-by-step explanation:

By Using Pythagorean Triplet we can say that

20, 21, 29 represents three sides of a right triangle

FOR VERIFICATION ONLY:

(20)² + (21)² = (29)²

400 + 441 = 841

841 = 841

Thus, 20, 21, 29 represents three sides of a right triangle

-TheUnknownScientist

What is the slope of the line?

A. -2
B. 1
C. 0
D. No slope

Answers

Answer:

0

Step-by-step explanation:

The slope is 0 because there is no rise over run.

1/4 Ib = ? oz
I don’t understand how the fraction can be turned into the answer , I know you have to multiply or divide but I just do not understand this question

Answers

Answer: 1/4 pound (lb) is equal to 4 ounces (oz).

This is because there are 16 ounces in one pound, so you can divide a pound into 16 equal parts, and each part is one ounce. Similarly, you can divide a pound into 4 equal parts , and each part is 1/4 pound. So in order to convert 1/4 pound to ounces, you can multiply 1/4 by 16.

1/4 lb * 16 oz/lb = 4 oz

When converting units, you are essentially multiplying or dividing by a conversion factor. In this case, the conversion factor is 16 oz/lb which tells you that there are 16 ounces in one pound. This factor allows you to convert between pounds and ounces by multiplying or dividing by it.

It's important to pay attention to the units in the conversion factor when using them. Here, the numerator and denominator of the conversion factor have the same unit, but it's not always the case. And the conversion factor helps to cancel out the unwanted unit and yield the desired unit in the end.

Step-by-step explanation:

Can someone please help me

Answers

I think that it is 56

The answer to this question is 56 your welcome

How do I find parameter?

Answers

Answer:

Depending of the figure that you are trying to find perimeter on, you just add up all the sides of that figure.

Answer:

The perimeter is the distance around a figure.

Step-by-step explanation:

For example, if I have a square where each side is 5 inches.  The perimeter would be 20 inches.  5 + 5+ 5 + 5, a square has four sides and each side length is 5 inches.

What is the value of 8 power 8?

Answers

Answer:16,777,216

Step-by-step explanation:

Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. how long will it take him to read 11 pages? helpppp its a table too. time in minutes 20. the number of pages:5 1 11.

Answers

Answer:

44 minutes

Step-by-step explanation:

Kiran reads 5 pages in 20 minutes, if we divide we will know that he reads 1 page in 4 minutes.

Multiply 4 by 11 to find out how long it will take him to read 11 pages.

11 times 4 = 44

It will take Kiran 44 minutes to read 11 pages.

44 minutes Kiran reads her book 11 pages

Find the missing angle.

66°
56°
76°
156°

Answers

I think the answer is D


Please help me on this

Answers

the first one is A  

the second one is D

none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C. -i give the props to the other guy who answerd this question

i need help i will mark you brainliest​

Answers

Answer:

Step-by-step explanation:

you need to draw a leaf plot

How many 1 by 1
4
by 1 prisms fit inside the 1 by 1 by 1 unit cube?

Answers

Answer:

4 prisms fit inside that one cube

4 can fit inside of the cude

find the real solutions to the equation 3,888=3h^4

Answers

Answer:

[tex]h=\pm6[/tex]

Step-by-step explanation:

[tex]3h^4=3888\\h^4=1296\\h=\pm6[/tex]

Which of the following 3 lengths can be combined to form a right triangle?

A. a = 1, b = 2, c = 3
B. a = 7, b = 12, c = 13
C. a = 9, b = 20, c = 21
D. a = 8, b = 15, c = 17

Answers

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem formula is given as

H² = P² + B²

If the Pythagoras theorem is satisfied then the dimension is the dimension of the right triangle.

Let's check option D, then we have

17² = 8² + 15²

289 = 64 + 225

289 = 289

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

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At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in square yards, covered by the tent?

Answers

Answer:

284 2/3 square yards

Step-by-step explanation:

Area of rectangle:

A = lwA = 30 1/2 * 9 1/3 = 61/2 * 28/3 = 854/ 3 = 284 2/3 square yards

Answer:

284 ²/₃ square yards

Step-by-step explanation:

Area of a rectangle

Area = length × width

Given:

length = 30 ¹/₂ yardswidth = 9 ¹/₃ yards

Substitute the given values into the formula and solve for area:

[tex]\begin{aligned}\sf Area & = \left(30+\dfrac{1}{2}\right) \times \left(9+\dfrac{1}{3}\right)\\\\ & = \dfrac{30 \times2+1}{2} \times \dfrac{9 \times 3+1}{3}\\\\ & = \dfrac{61}{2} \times \dfrac{28}{3}\\\\& = \dfrac{61 \times 28}{2 \times 3}\\\\ & = \dfrac{1708}{6}\\\\ & = \dfrac{1704+4}{6}\\\\ & = \dfrac{1704}{6}+\dfrac{4}{6}\\\\ & =284\: \frac{2}{3}\:\:\sf square\:yards\end{aligned}[/tex]

Therefore, the area covered by the tent is 284 ²/₃ square yards.

Frank is going to plant n vegetable seeds in one garden and 2n +9 vegetable seeds in another. How many seeds is Frank
going to plant?

Answers

The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

What is meant by algebraic expressions?

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.

Like terms with the same variables are added together.

Let the equation be n + 2n + 9

simplifying the above equation, we get

3n + 9

Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

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The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

What is meant by algebraic expressions?

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.

Like terms with the same variables are added together.

Let the equation be n + 2n + 9

simplifying the above equation, we get

3n + 9

Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

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Audrey walked 285 meters west and Billy walked 213 meters south from the same starting location. How far apart are Audrey and Billy?

Answers

Audrey and Billy are as far as 367 meters apart.

What is displacement of an object?

The displacement of an object is its distance covered or moved in a specific direction. Displacement is an example of vector quantity.

A vector quantity is generally any type of quantity which can be expressed in magnitude and direction. Some examples include: weight, displacement, acceleration, force, etc.

Since Audrey walked 285 meters west and Billy walked 213 meters south from the same starting location, then we can determined the distance far apart by applying the Pythagorean theorem.

So that,

/hyp/^2 = /opp/^2 + /adj/^2

Let their distance apart be represented by s,

s^2 = 231^2 + 285^2

      = 53561 + 81225

s  = (134586)^1/2

s = 366.86

Audrey and Billy are as far as 367 meters apart.

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‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎
[tex]w + 29 = 250 \div 5 - 20[/tex]

Find the value of w​

Answers

Answer:

I don't know I am sorry bro

Find A. Round to the nearest tenth.

Answers

Answer:

27.8 degrees

Step-by-step explanation:

Wasn't it 'a,' not 'A,' that you wanted?

The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:

                          a

Then 0.927 = -------    which yields a = 30(0.927) = 27.8 degrees

                         30

Is horizontal asymptote y axis?

Answers

No, horizontal asymptote is not represented by y- axis it is represented by the x -axis.

To find the location of the given horizontal asymptote first find the degree of denominator and the degree of numerator.Degree of denominator is larger than the degree of the numerator for the given exponent then it represents the horizontal asymptote x -axis  When degree of denominator is more than the degree of numerator than y = 0.Horizontal asymptote of the graph is very close to the horizontal line that is x -axis.

Therefore, the horizontal asymptote is not represented by the y-axis, it is represented by the x-axis.

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The pie charts show information about the favourite animal of each student at school A and of each
student at school B.
School A
School B
monkeys
tigers
60°
monkeys
lions
(160°
(110°
tigers
lions
There are 480 students at school A.
There are 760 students at school B.
Henry says,
"The same number of students at each school have tigers as their favourite animal."
Is Henry correct?
You must show how you get your answer.​

Answers

Answer:

He is not

In school B, the angle representing the sector of students that like tigers is 90 degrees while in school A, the angle representing the sector of students that like tigers is larger than 90 degrees. this is determined by perusing the images visually.

Step-by-step explanation:

Please find the complete question in the attached image

Pie chart is a graph used to represent numeric information. the sum of angles in a pie chart equals 360 degrees. the pie chart is usually separated into sectors to represent numeric information

the angle representing the students that like tigers in school A = 0.5 x (360 - 60) = 150 degree

lets help us fine the correct answer

Answers

Answer: ∠z=48°

Vertical angles are always congruent, and because 87 and z are adjacent angles, but equal 135, the equation would be 87+z=135. Subtract 87 on both sides to get z=48.

What is the 3 triangular number?

Answers

A triangular number succession is the representation of numbers as just an ordered set of equilateral triangles. The order of these numbers is 1, 3, and 6.

What exactly is meant by triangular numbers?

A triangular number is one that may be written as the sum of a initial n positive integers.

A good example of a triangular number is 6, which may be written as 1+2+3 when the first three positive integers are added together.Triangular numbers make up a sequence if one considers the sum of the first positive integer as the initial element, the sum of the first two positive integers as the second element, and so on.If a number equals that sum of such initial n positive integers, then n denotes the position of that particular triangular number with in the series.Triangular numbers can be used to create equilateral triangles.

The first 3 triangular numbers are therefore 1, 3, and 6.

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Help pls I’ll give brainlis

Answers

Answer:

b=-1

Step-by-step explanation:

you need to make sure that you can add 7 and have the answer be 4cm because, and if you subtract 4 from 7 you get 3 so the should add onto a -3 and the only way to turn the 3 into -3 is to multiply the 3 by -1

I need this answered by 3pm. Look at the diagram below. Fill in the missing angle measures.

Answers

Answer:

1 = 26

2 = 154

3 = 26

4 = 26

5 = 154

6 = 154

7 = 26

Step-by-step explanation:

What is the length of DF?

Answers

Answer:

5

Step-by-step explanation:

24 divided by 4=6

so you have to do 20 divided by 4

20 divided by 4 = 5

y = 3x
x + y = 52

substitution method
help quick
show all work

Answers

Answer:

[tex]x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39[/tex]

What does a 45 45 90 triangle look like?

Answers

A 45°-45°-90° triangle looks like Right Angle Triangle.

A 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.

45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2 . The measures of the sides are x, x, and x√2.

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg, and the Opposite side to 45 = 1/√2 * Hypotenuse.

The 45-45-90 triangle has three unique properties that make it very special and unlike all the other triangles.

Hence, a 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.

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Help please!! I would appreciate it

Answers

The behavior of the graph at the intervals are as follows

(0, 4} = increasing

(0, 2} = negative

{-2, 0) = decreasing

(-4, -1) = positive

How to determine the behavior of the function in the intervals

The intervals represents some numbers and the numbers within the interval depends on the type bracket

(0, 4} = integer values from 1 2 3 4 at this interval the curve is going up hence increasing

(0, 2} =  integer values from 1 2 at this interval the curve is on the negative side

{-2, 0)  =  integer values from -2 -1  at this interval the curve is on the decreasing

(-4, -1) = integer values from  -3 -2 -1  at this interval the curve is on the on the positive side

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Examine this set of ordered pairs. (7,9), (4,18), (−3,11), (16,18), (4,−11) Is the set of ordered pairs a function? Choose the answer that is entirely correct.

Answers

The set of ordered pairs represents the function.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

The set of ordered pairs:

(7,9), (4,18), (−3,11), (16,18), (4,−11)

Pairs written as input and output of the relation.

In the attached table,

To prove function:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.

And here each input is connected to precisely one output.

Therefore, this is a function.

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PLEASE HELP ME WITH MATH! WILL GIVE BRAINLIEST! THANK YOU:)))

Answers

Answer:

3+10=13+17=30+24=54+0=54

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