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

The baseball team is running a fundraiser to raise money for new equipment. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The team needs to raise at least $500 to buy a few pieces of equipment. The students can accept a maximum of 360 cans and bottles.
a)Write a system of inequalities that can be used to represent this situation.



b) The baseball team sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to buy new equipment? Justify your answer.

Answers

The correct answer is B. your welcome.

Maybe use photo math

I NEED HELP FOR THIS QUESTION PLSSS

Answers

Answer: 132 degrees

Answer:

132,  since that angle is corresponding to the line below it.

Using the rule of corresponding angles, we can determine that the transversal line that is intersecting the two parallel lines make x = 132.

what is equivalent to k/2​

Answers

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

help please!! ill give brainliest :)

Answers

The answer would be 1.85+x=5.30

Which of the following is an rational number 0.3232323232...​

Answers

Answer:

0.3232323232... is an irrational number

Step-by-step explanation:

An irrational number is any number that cannot be written as a fraction of whole numbers.

What is the range of the data set below?
25, 24, 24, 24, 33

Answers

Answer:

9

Step-by-step explanation:

the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.

So u just subtract 24 from 33:

33 – 24 = 9

and that's your range! hope this helps!

You find range by subtracting the largest sum from the smallest sum so your answer would be 33-24=9
Answer 9

Which number below is a perfect square? 100 90 50 75 ​

Answers

100








ggbnjj mj ddcnmikiyewazxbnoorr

Which list represents the independent values on this graph?
the answers are on the left

Answers

9514 1404 393

Answer:

  (d)  1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Step-by-step explanation:

The independent variable is plotted on the horizontal axis. The first coordinate of each ordered pair is the independent value. Those values are ...

  1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Answer:

i think a

Step-by-step explanation:

Evaluate each expression for the given value(s) of the variable(s). 5(9 + d) − 6 when d = 3

Answers

Answer:
54

Explanation:

Simplify the expression
5 (9 + d) - 6

If d = 3 replace d variable with 3 and solve

5 (9 + 3) - 6
5 x 12 = 60
60 - 6 = 54

A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?
(Explanations are appreciated along with your answer.)

Answers

600ft³ will be the required volume

Volume of pyramid

The formula for calculating the volume of the rectangular prism is expressed as:

V = 1/3lwh

Given the following information

l = 10 feet

w = 15feet

h = 12 feet

Get the volume

V = 1/3(10 * 15 *12)

V = 1/3(1800ft³)

V = 600ft³

Hence 600ft³ will be the required volume

Learn more on volume of prism here: https://brainly.com/question/23963432

HELP I NEED HELP ASAP

Answers

Answer:

I think it's A

Step-by-step explanation:

the line is going up and the more it goes up it looks like it will be 2.5

mickel and 4 friend bought a total of 95 raffle tickets if the ticket were dived equaly among themselves how many tickets did each person get?

Answers

Answer:

19

Step-by-step explanation:

5 people in total, divide equally from 95

Answer:

Step-by-step explanation:

95/4=23.75

Round 23.75 --> 24.00 raffle tickets each.

please answer so I dont fail this semester ​

Answers

your going fail?! ill help itis 6

Step-by-step explanation:

Given the following equations, at which point will the graphs intersect?
f(x) = 5x + 1
g(x) = -2x + 15
(0,0) (1,15) (-2,-9) (2,11)

Answers

Answer:

(2,11)

Step-by-step explanation:

f(x) = 5*2 + 1 = 11

g(x) = -2 *2 + 15 = 11

5 scholars ran a marthon each one ran 1\5 of a mile how far did the students run in all

Answers

9514 1404 393

Answer:

  1 mile

Step-by-step explanation:

  5 × (1/5 mi) = 5/5 mi = 1 mi

The students ran 1 mile in all.

Spendthrift Steve found a splendid interest rate of 11.5% for his $2500 investment. If interest is
compounded contiuously, how much will Steve have after 4 years, when he needs the money for college?

Answers

Answer:

Step-by-step explanation They will have a 11.5 they have 2000 but you di511.5÷2

Solve using the substitution method. 3x +2y= 19 xy= 15​

Answers

Answer:

when x = 3 1/3, y = 4.5

or

when x =3 , y = 5

Step-by-step explanation:

Here, we want to solve using substitution

xy = 15

let x = 15/y

Put this into the first equation;

3(15/y) + 2y = 19

45/y + 2y = 19

Multiply through by y

45 + 2y^2 = 19y

2y^2 -19y + 45 = 0

2y^2 - 10y - 9y + 45 = 0

2y(y-5) -9(y-5) = 0

(2y-9)(y-5) = 0

2y-9 = 0

or y-5 = 0

2y = 9 or y = 5

y = 9/2 or y = 5

y = 4.5 or y = 5

Recall;

x = 15/y

x = 15/4.5 or x = 15/5

x = 3 1/3 or x = 3

Simplify:
4y - 1/2 (-3/4+2/3y)

Answers

4y + 3/4+ -2y/3 /2 should be it I think

Answer:

11/3y-3/8

Step-by-step explanation:

Distribute -1/2 through the parentheses

4y-3/8-1/3

calculate the difference

Answer- 11/3y-3/8

what is the answer to 5x+2<17

Answers

x < 3

hope it helps :)

Answer x < 3
Explanation subtract 2 from both sides divide 15 by 5 and that gets u 3

Jennifer is making a big chili dinner for her family and bought 4000 grams of turkey for the chili. How many kilograms of turkey is
that?
A)2
B)2.5
C3
D)4

Answers

THE ANSWER IS D BECAUSE THERE R 1000 G IN KG

Answer:

D

Step-by-step explanation:

Use the regression calculator to compare the teams’ number of runs with their number of wins.

A 2-column table with 9 rows. Column 1 is labeled R with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. Column 2 is labeled W with entries 93, 94, 66, 81, 86, 75, 61, 69, 55.

What is the y-intercept of the trend line, to the nearest hundredth?

Answers

Answer:

-23.21

there should be a two part for this and the answer would be D y= 0.15x - 23.21

Step-by-step explanation:

The line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The data is given:

R(x)     W(y)

808     93

768     94

655     66

684     81

637     86

619     75

613     61

609     69

563     55

The line of best fit can be written as:

y = mx + c

Here m is the slope of the line best fit and c is the y-intercept

Putting the values in the formula we get:

m = 0.15

c = -23.21

The line of best fit is:

y = 0.15x - 23.21

Thus, the line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ6

You have $120. You spend 75% of your money. How much did u spend?

Answers

Answer:

$90

Step-by-step explanation:

$120 x .75 = $90

HELP ME ASAP PLZZ
Which table represents the function y = 3x – 1?


Input x 1 2 3
Output y 4 7 10

Input x 0 1 2
Output y -1 -2 -3

Input x 0 1 2
Output y -1 2 5

Input x 2 3 4
Output y 2 4 6

Answers

Answer:

Input x 0 1 2

Output y -1 2 5

Step-by-step explanation:

just plug in all the answers for x and solve the equation. like this:

y=3*0-1=

y=0-1=

y= -1

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

y=3*1-1=

y=3-1=

y=2

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

y=3*2-1=

y=6-1=

y=5

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

all the results match with the table

hope I helped God bless you

What equation models the data in the table if d = number of days and c = cost?

Answers

Answer: pick the fourth answer
Explanation: because I said so

Help me with this one

Answers

Answer:

20ft

Step-by-step explanation:

Use ratios:

[tex]\frac{5}{8} = \frac{x}{32}[/tex]

Solve for x

x = 20

Answer:

x = 20

Step-by-step explanation:

Let’s think about it this way ( i’m gonna make this as easy as possible! )

So, x is the variable, which it represents the height of the tree right? so you’re gonna want to take the shadow of the alien, and think “well can 8 make 32? and if so how many times?” which would be 8y = 32. and yes you can. so let’s think about that. how many times does it take for 8 to get to 32?

8, 16, 24, 32

so it takes 4 times. then you think “ well if 8x4 got the shadow length, 5x4 must get the tree height” which is correct.

you’ll take 5 x 4 which is 20, and you will put that down as the heigh of the tree, or think 20ft.

so x = 20.

PLEASE HELP ASAP!!
Please could I have the answers or step by step I don’t mind just PLEASEE help asap!!

Answers

Ok first you need to get a common denominator of 3 and 5 the smallest one would be 15 so then you rewrite both but remember if you do something to the bottom u have to do it to the top so you multiplied 3by 5 to get 15 to get your bottom then you have to times 5by 1 to get 5. So 5/15,same process for 3/5




5/15+ 9/15=9+5=14 so 14/15 (you keep the bottom the same) also it doesn’t need to be simplified because nothing can go into 14and 15 evenly





Same process for subtracting just subtract in the end so...

30/35-14/35= 16/35 also can’t be simplified evenly
In the end your answers are

1.14/15
2.16/35

On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

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

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.

Please do number 13 for me

Answers

57 snanwnnwnnwwnnwnwnwnnwwnnw

Just 2 questions and were done. Night

Answers

Answer:

I'm pretty sure the first one is b

explain what happens when a transversal has intersected a set of parallel lines.​

Answers

Answer:

Different angles are formed

Step-by-step explanation:

i) Alternate angles are formed

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.  

ii)corresponding angles are formed

When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.  

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