ABC is a triangle right angled at A and D is a point on BC such that AD Ʇ BC. Show that AD2 = BD x DC. please answer fast URGENT

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse side is equal to the sum of the square of the remaining sides. The hypotenuse is the longest side (that is side opposite to the 90° angle).

In right angle triangle ABD:

AB² = AD² + BD²     (1)

In right angle triangle ACD:

AC² = AD² + CD²      (2)

Also:

AC² + AB² = BC²       (3)

But BC = BD + CD

AC² + AB² = (BD + CD)²     (4)

Adding equation 1 and 2 gives:

AB² + AC² = (AD² + BD²) + (AD² + CD²)  

AB² + AC² = 2AD² + BD² + CD²

substituting AC² + AB² = (BD + CD)²:

(BD + CD)² = 2AD² + BD² + CD²

BD² + 2(BD)(CD)+ CD² = 2AD² + BD² + CD²

2AD² = 2(BD)(CD)

AD² = BD * CD

ABC Is A Triangle Right Angled At A And D Is A Point On BC Such That AD BC. Show That AD2 = BD X DC.

Related Questions

If the volume of the cylinder is approximately 1,357 in3, what is the radius?

Answers

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

What is the volume of a figure?

The volume of a figure is the total space enclosed within the figure.

How do we determine the volume of a cylinder?

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

How do we solve the given question?

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

Learn more about the Volume of a figure at

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Look at the figure. If m 2JKM = 48, find m2).

Answers

Answer:

42 degrees

Step-by-step explanation:

triangle sum theorem says the sum of all triangles is equal to 180. I'm assuming this is a right triangle, so I created an equation similar to this:

90 + 48 + x = 180

Need help with this question

Answers

corresponding sides are proportional

Need help on this one also

thanks the choices are
1. 3
2. 8
3. 6
4. 4

Answers

Answer:For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?

Step-by-step explanation:

Answer:

TV = 4

Step-by-step explanation:

answer choice 4. 4

Kevin plants a 5-yard by 9-yard rectangular vegetable garden. He puts rope around the edges. The rope costs $2 per yard. What is the total cost of the rope?

Answers

The total cost of rope would be 28 dollars

If m and n are two natural number and m^n =8,then n^mn is.​

Answers

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Select the postulate or theorem that you can use to conclude that the triangles are similar.

SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem

Answers

Answer:

asa similarity postulate

Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answer with explaination.

Answers

Answer:

134

Step-by-step explanation:

the line where B and X are equal to 180 so you subtract 180 from B witch is 134

Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.

1. If we graph the equation, what is the slope of the graph?

2. Where does the graph intersect the y-axis?

3. Where does it intersect the x-axis?

Answers

Answer:

slope = -1/3

y-intercept = 4

x-intercept = 12

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

----------------------

rearrange into slope intercept form

1.5x + 4.5y = 18

subtract 1.5x from both sides

4.5y = -1.5x + 18

Divide both sides by 4.5

y = (-1/3)x + 4

------------------------

Slope

m = -1/3

---------------------

y-intecept

b = 4

---------------------

x intercept

this is where  y = 0

0= (-1/3)x + 4

add (1/3)x to both sides

(1/3)x = 4

Multiply both sides by 3

x = 12

Do you know how to do this?

Answers

Answer:

[tex]y=4(3)^{x}[/tex]

Step-by-step explanation:

Let the exponential function is,

f(x) = (b)ˣ

If this function has the base (b) = 3, function will be.

f(x) = (3)ˣ

If this function is transformed by a vertical stretch by a factor of 4,

New function will be,

g(x) = 4(3)ˣ

If the function 'g' is reflected across y-axis, new function will be,

h(x) = g(-x)

h(x) = [tex]4(3)^{x}[/tex]

Therefore, equation of the function will be,

[tex]y=4(3)^{x}[/tex]

I got it wrong because I’m not too good in math but help a girl out, please

Answers

Answer:

24 is right

Step-by-step explanation:

PLEASE HELP DUE SOON PLEASE

Answers

Answer:

a.) He should shade in two

b.) This is because 7 is the magic number. This is in the sense that on player B's next turn there will be either 8 or 9 colored circles, which means you can just fill in the remaining amount.

Step-by-step explanation:

Two adjacent angles form an obtuse angle measured 164°. If m<1 = 3x+5 and m<2= 5x+9, find the measurement of the larger angle. Plz help and don't answer if you don't know for sure :) thxx

Answers

Answer:

102.75

Step-by-step explanation:

The two angles add to 164

<1 + <2 = 164

3x+5  + 5x+9 = 164

Combine like terms

8x+14 = 164

Subtract 14 from each side

8x+14-14 =164-14

8x = 150

Divide by 8

8x/8 = 150/8

x = 18.75

The larger angle is 5x+9 = 5(18.75) +9 =102.75

Please help asap. Thank you! :)

Answers

When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

[tex] {x}^{6} [/tex]

Therefore, k = 6

help me pls...............

Answers

Answer:

2.58

Step-by-step explanation:

3 1/3% = 0.03333

2.5 x 1 + 0.33333 gets us 2.5833

Simplify to 2.58

We add the 1 to 0.33333  to get us the original number.

Hope this Helps!

Find the value of x.

Answers

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

4. If z/y = x , which of the following statements is true?

Answers

[tex]\longrightarrow{\blue{ c. \: y.x = z }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{z}{y} = x[/tex]

[tex]➺ \: z = y.x[/tex]

[tex]➺ \: y.x = z[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Option C : y . x = z is the correct answer.

We have the following expression -

[tex]$\frac{z}{y} = x[/tex]

We have to identify the true statements from the one's mentioned.

If  [tex]$\theta = \theta_{o}[/tex](1 + R) , then find R ?

We have -

⇒ [tex]$\theta = \theta_{o}[/tex](1 + R)

R =  [tex]\frac{\theta}{\theta_{o} } - 1[/tex]

According to the question, we have -

[tex]$\frac{z}{y} = x[/tex]

We can rewrite it as -

x . y = z

Hence, Option C is the correct answer.

To solve more questions on Rearranging expressions, visit the link below -

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Find the volume of the pyramid shown.

Answers

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

I will mark you brainliest if you answer this
show your working
8)(7x3 + 3x2+ 4x + 10) – (10 + 8x + 3x3)
9)(5x4– 4x3– 3x – 4) – (2x – 6x3– 2x4)
10) (7x3– 9x2– 7x – 8) – (8 – 4x2– 6x3)
11) 4(a + 5) – 5(a2– 4a + 7)
12) 8(y + 6) – 6(y2– 6y + 4)
13) 3(c – 4) – 5(c2+ 4c – 8)

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]

8.

[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]

9.

[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]

10.

[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]

11.

[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]

12.

[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]

13.

[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

1. Which term below could not be part of a polynomial expression?
- 3x
2
(1)
(3) x2
(2) 13
(4) 5x

Answers

i think it’s either 13 or 4x

what is the factor of 3x^{2} +9x-12=0[/tex]

Answers

(3x + 12)(x - 1)

Or even better 3(x + 4)(x - 1)

Explain how the vertical line test can be used to determine if a graph
is a function.

Answers

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

David measures a side of a piece of wood. The length is 8 feet and the width is one-half if the length. What is the area, in square feet, of the piece of wood?

A=lw
A: 4
B: 16
C:32
D:108​

Answers

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].


Why was Elmo's Report Card All Wet?

Answers

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

A square pyramid and its net are shown below. What is the surface area of the pyramid?

Answers

Answer:

376

Step-by-step explanation:

16×16+16×15÷2

=256+120

=376

376 is the anwser because i just did this test

. There are 575 students in a school. If the number of girls is 54 more than the boys
how many boys are there in the school ?Find✌✌​

Answers

there are 314.5 boys in the school .

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

Which graph shows the solution to the system of linear inequalities? ​

Answers

Answer:

Send q picture of the graphs so I can help

Step-by-step explanation:

need pictures of graph

10
c T is 4 units high. It is enlarged with a
scale factor of 4.
How high is the image?

Answers

Answer:

it is 14 pls make me brainliest pls

Step-by-step explanation:

Please help with my math! Question number 2

Answers

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

3-4: draw a picture to find the quotient.
5-6: use multiplication to find the quotient.

Answers

Hmm It’s 3-4!!!!!!!!
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