Find x in triangle ABC using geometric means.​

Find X In Triangle ABC Using Geometric Means.

Answers

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of x using geometric mean.

Solution:

According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then

[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]

Let attitude from A touches the hypotenuse at point D.

Using this in the given triangle, we get

[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]

[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]

[tex]12\times 3=x^2[/tex]

[tex]36=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{36}=x[/tex]

[tex]\pm 6=x[/tex]

Side cannot be negative. Therefore, the only value of x is 6.


Related Questions

a rectangle has dimensions of (3y+2)cm as the length and (x+7)cm as the other length and 2x cm as the breadth and (x+y+1)cm as the other breadth find the values of x and y and the dimensions​

Answers

Answer:

x = 4 cm

y = 3 cm

Dimension is 11 by 8

Step-by-step explanation:

The computation of the values of x and y and their dimension is shown below:

3y + 2 = x + 7

3y - x = 5.......(i)

2x = x + y + 1

x - y = 1...........(ii)

Now solve these both equations

2y = 6

y = 3 cm

And,

x - y = 1

x - 3 = 1

x = 4 cm

Now their dimension is

= x + 7

= 4 + 7 = 11

And,

= x + y + 1

= 4 + 3 + 1

= 8

So, 11 by 8

Please help me. Thank you! ​

Answers

Answer:

25

Step-by-step explanation:

I don't know the steps

Multiply Fractions and Whole Numbers

7 x 2/3 =

Show me your work

Answers

14/3 = 4 2/3 - simplified

The simplified form of the Multiplication of Fractions and Whole Numbers would be  4 2/3.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1.

Given that the fraction expression as;7 x 2/3

We need to multiply Fractions and Whole Numbers

7 x 2/3 = 14/3

Now convert simple fraction into mixed;

14/3 = [tex]4 \frac{2}{3}[/tex]

Therefore, the simplified form of the Multiplication of Fractions and Whole Numbers would be  [tex]4 \frac{2}{3}[/tex].

Learn more about fraction;

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3/13 as a decimal rounded to the nearest thousandth

Answers

Answer:

0.231

Step-by-step explanation:

Answer:

3/13 round to the nearest thousandth is 0.231

Step-by-step explanation:

I know this might be a easy answer but with proper algebra format a chicken has two legs a dog has 4 legs the chicken must have 14 more legs than the dog And it has to add up to 28 legs this is easy but I wanna know how to get the answer

Answers

Step-by-step explanation:

Let each let of chicken be C and dog be D respectively.

Then as per question

2C+4D = 28.......i

and

C-D =14........ii

These are the two algebraic equation which you are looking for solve them

to get the answer

Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.

Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.

Answers

Answer:

Step-by-step explanation:

7.9 meters per second

Jim’s physics quiz scores were 77, 83, 75, 52, and 85. What was his median score?

Answers

Answer:

76

Step-by-step explanation:

Of the 10 clients who had their hair cut at Sue's salon last month, 5 had blond hair. Considering this data, how many of the next 14 clients to get haircuts should you expect to have blond hair?

Answers

Answer: 7 clients

Step-by-step explanation:

Of the last 10 clients that cut their hair at the salon, 5 had blond hair.

That is a proportion of:

= 5 / 10

= 1/2

Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:

= Number of clients * 1/2

= 14 * 1/2

= 7 clients

The point (5, 3) has an image of (2, –1) under a translation of left 3 and down 4 units. Which sequence of transformations produces the same image? Translate left 2 units and down 3 units, and then reflect over the x-axis. Translate left 3 units and down 2 units, and then reflect over the x-axis. Reflect over the x-axis, and then translate left 2 units and down 3 units. Reflect over the x-axis, and then translate left 3 units and down 2 units.

Answers

Answer:  B

Step-by-step explanation:

did it on edge

Answer: B

Step-by-step explanation:

A cone has a height of 12 yards and a radius of 7 yards. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

____ cubic yards

Answers

Answer:

615.44 cubic yards

Step-by-step explanation:

V = 1/3·π·7²·12

What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x

Answers

Answer:

48

Step-by-step explanation:

Khan Academy

The value of [A] will be 48.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that we have rewritten -

(1/7)ˣ ⁻ ² - (1/7)ˣ  as  [A] x (1/7)ˣ

We have (1/7)ˣ ⁻ ² - (1/7)ˣ  rewritten as [A] x (1/7)ˣ. So, we can write -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :

[(1/7)ˣ / (1/7)²] - (1/7)ˣ

(1/7)ˣ [1/(1/7)² - 1]

We have -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

So, we can write -

(1/7)ˣ × [1/(1/7)² - 1] =  [A] × (1/7)ˣ.

On comparing, we  get -

[A] = [1/(1/7)² - 1]

[A] = 48

Therefore, the value of [A] will be 48.

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What is the answer to x? Given the top of the triangle is 80.

Answers

what are the answer choices?

PLEASE HELP!!!!!! 20+ POINTS
I have not been paying attention in class at all for the past 3 weeks, and we have a test tomorrow. Please explain all this stuff and more related to it. if it is not good enough then I will delete it and you will not get the points.

Answers

Answer:

B. (x , y) -> (-y , x)

Step-by-step explanation:

counter clockwise rotation 90° : (x,y) -> (-y,x)

(12+34)×2.3= (talk to me please please please)​

Answers

Answer:

90.2

Step-by-step explanation:

thx for the follow!!!

Answer:

105.8 is the answer

Step-by-step explanation:

105.8

Find the value of x *

A) 20

B) 10

C) 15

D) 25

Answers

Answer:

B. 10

Step-by-step explanation:

While doing construction O and P are joined then

OQ = OR

<QOR = 80°

<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)

<QPR = 80°/2

<QPR = 40°

SO

< QPO = X

<RPO = 30°

<QPO + <RPO = < QPR

X + 30° = 40°

X = 40° - 30°

X = 10°

hope it helps

GRADE 7 MATH URGENT

A class of 25 children is having a pizza party. Each child will eat 3/8 of a pizza. How many pizzas do they need to order?

Answers

A. 8 pizza pies at 10 pc. per pie = 80 available pieces

B. Let X be the number of children. Number of pieces eaten = 5 per child = 5X.

c. 22 pieces are left over.

D. Combine line A and line C. Total number of pieces eaten = 80 original minus 22 left over. Result 58 pieces were eaten by X children: 58 = 5X.

E. Solve the equation 58 = 5X by dividing both sides by 5.

WHOOPS! Is this a trick question? Solving the above results in the answer that there are 11.6 children at the party. Hmmm. That 0.6 child is a question mark for me.

Looks like someone miscounted the pizza slices. Or omitted some pertinent information. But, I’m sure there is a logical answer.

Answer:

10 pizzas

Step-by-step explanation:

To find the answer for this question you need to multiply 3/8 by 25.

3/8 * 25 = 9.375

You can't buy .375 of a pizza so you round it up and get 10.

12) Wendy is creating a board game. She wants to cut square game pieces that
1
measure 1 inches on each side from a piece of paper that measures 9 inches by 9
2
inches. How many game pieces can Wendy cut from the paper?

Answers

Answer: 36

Step-by-step explanation: I used a calculator to multiply 9 by 9 & 1 1/2 by 1 1/2. For 9 by 9 you get 81, for 1 1/2 by 1 1/2 you get 2 1/4. 81 divided by 2 1/4 is 36. You’re welcome sorry if I’m late!

At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point

Answers

Answer:

18.6

Step-by-step explanation:

28 divided by 1.50 equals 18.6

The number of rides will be equal to 12 in the Carnival.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.

The number of rides will be calculated by forming an equation below,

A = 10 + 1.5R

28 - 10 =1.5R

1.5R = 18

R = 18 / 1.5

R  = 12

Therefore, the number of rides will be equal to 12 in the Carnival.

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mr iniguez can bike 157 miles in 5 hours . How many miles can he bike 1 hour?​

Answers

Answer: its 31.4 i think cuz if you divide 157 and 5 you get 31.4 in an hour

Step-by-step explanation:

I divided

Answer:

If he bikes 157 miles in 5 hours and we need to know hhwo many miles he can bike in 1 hour, we need to divide

157/5=31.4

Step-by-step explanation:

157 divided by 5

5 fits in 15 3 times

5x3=15

15-15=0

we bring down the 7 and 5 only fits in 7 one time

5x1 is 5 so 7-5 is 2

we add a decimal after 157 and drop it down to creat 20

5x4 is 20 so the answer is 31.4

plz help thannkkk you so muchh

Answers

This is a bit strange how your teacher mentions the height increases at 10 inches per minute, but then doesn't refer to the time value afterward.

Ignoring that oddity, we have [tex]V = \pi*r^2*h[/tex] turn into [tex]V = \pi*4^2*h[/tex] when plugging in r = 4. This simplifies to [tex]V = 16\pi*h[/tex]

This represents the volume V for any given height h.

Let's plug in [tex]V = 80\pi[/tex] and solve for h

[tex]V = 16\pi*h\\\\80\pi = 16\pi*h\\\\80 = 16*h\\\\80/16 = h\\\\5 = h\\\\h = 5[/tex]

Note: in the jump from step 2 to step 3, I divided both sides by pi.

So we found that when the height is h = 5 feet, this leads to the volume being [tex]V = 80\pi[/tex] cubic feet.

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

Let's convert from feet to inches

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

The height of the cylinder is 60 inches when the volume is 80pi cubic feet.

We're told that the height increases by 10 inches per minute. This would mean that h = 10t assuming the height starts at 0 when the time value is t = 0.

Solving for t leads to...

h = 10t

60 = 10t

60/10 = t

6 = t

t = 6

After 6 minutes, the height is 60 inches = 5 feet.

Did I do it rightly?

Answers

Yes. If the segment only has 2 points, it can be named both ways.

I really need help with this.

Answers

9514 1404 393

Answer:

  a.  (1.4, 2.6)

  b.  (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

  (c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

  (-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

  -6(x -1) +4(y -2) = 0

  3x -2y = -1 . . . .  divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

  (0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

  2(x +1) +2(y -5) = 0

   x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

  (3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

  5x = 7 . . . . . . simplify

  x = 1.4 . . . . . . divide by 5

  y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

__

b. The centroid is the average of the vertex coordinates.

  centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

  centroid = (3, 2)

Find the missing values

Answers

I FOUND THEM THEY ARE HIDING IN THE CLOUDS.

Find the are of this shape?​

Answers

Answer:

the square in the middle is 100 because 10 x 10 = 100

Answer:

The answer should be 217.75 m^2

Step-by-step explanation:

Solve the equation:

b - 1.6 ÷ 4 = - 3

b = _____

Answers

b=-2.6
Hope this helps :)

Answer:

-2.6

Step-by-step explanation:

what is the expression 3 fewer than k

Answers

k-3 is the expression for 3 fewer than K

Mr. Z bought an all-terrain vehicle (ATV) in 2010 for $7,000. The value of the ATV decreases at a rate of 11% per year. How much is the ATV worth in 2025? First, write an equation that represents the value of the ATV, V, after x years. Then calculate how much the ATV is worth in 2025. You must use the equation that you set up and show what you typed into your calculator in order to earn full credit. round your answer to the nearest whole dollar.

Answers

Answer:

i did the math in my calculator and came up with -4550 i don't know what i did

Step-by-step explanation:

A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)

Answers

12*5=60
12*48=576
576/128=4.5
4.5 gallons

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,

Rate = 48 / 5 fl oz per minute

We know that 1 gal = 128 fl oz, then we have

Rate = (48 / 128) / (5 / 60)

Rate = (48 x 60) / (128 x 5)

Rate = 2880 / 640

Rate = 4.5 gallons per hour

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

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Help please!! Help me with this triangle

Answers

Answer:60°

Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.

Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).

Equilateral triangles have equal angles, meaning 60° for each angle.

plz help ima freak out if I don't complete this

Answers

Answer:

2 and 3 are c you should try to do the others on your own they are just properties

Step-by-step explanation:

Answer:

2 and 3 are C, and 4 and 5 are B

Step-by-step explanation:

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