Mathematics High School

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

PLEASE ANSWER NOW FOR A TEST
Triangle ABC is similar to triangle TNW. Side BC corresponds to side NW. The perimeter of triangle ABC = 13.46. What it the perimeter of triangle TNW? A. 3.365
B. 4.24
C. 10.28
D.13.46


Answers

I think it might be b

Which is one way for individual citizens to have a positive impact on air quality?

Answers

Reduce smoking


Deddddkddkkdkdddkr

NEED HELP ASAP!!
Use Pythagorean Theorer to solve. Round to the nearest tenth
1.5 in
0.9 in
х

Answers

Answer: 1.2 in

Step-by-step explanation:

The pythagorean theorem states that a²+b²=c².  Thus, 0.9²+b²=1.5².

1.5²=2.25

0.9^2=0.81

0.81 + b² = 2.25

1.44 = b²

b = 1.2

Hope it helps <3 :)

Solve the system by substitution.
y = 8x
y = 4x + 8

Answers

Answer:

y = 16

x = 2

Step-by-step explanation:

y = 8x

y = 4x + 8

then, by substitution:

8x = 4x + 8

8x - 4x = 8

4x = 8

x = 8/4

x = 2

y = 8x

y = 8*2

y = 16

Check:

y = 4x + 8

y = 4*2 + 8

16 = 8 + 8

(a) An angle measures 51°. What is the measure of its complement?
(b) An angle measures 113°. What is the measure of its supplement?

Answers

Step-by-step explanation:

For a

Let the another angle be x then

x + 51° = 90° {being complementary angles }

x = 90° - 51°

x = 39°

For b

Let the another angle be x then

x + 113° = 180° {being supplementary angles }

x = 180° - 113°

x = 67°

a bakery used 25% more butter this month than last month if the bakery used 240 kilograms of butter last month how much did it use this month ​

Answers

Answer:

300

Step-by-step explanation:

25% of 240 is 60.

The slope of the line below is -2. Use the cordinates of the labeled point to find a point-slope equation of the line

Answers

Answer:

We can not see the image, so i will answer this in a general way.

We know that a linear equation can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

In this case, we know that this line has a slope equal to -2, then the line is:

y = -2*x + b

Now, suppose that in the image we can see that this line passes through the point (j, k)

Then we can replace x by j, and y by k in the line equation, to get:

k = -2*j + b

Now we can solve this for b:

b = k + 2*j

Then we can conclude that a line with a slope equal to -2, that passes through the point (j, k) is:

y = -2*x + (k + 2*j)

Solve for x in the following figure. Choose the appropriate result.

Answers

Answer:

d

Step-by-step explanation:

all of the angles add up to equal 180 so we setup the equation as 45+3x=180

first you subtract each side by 45

135=3x

then you divide each side by 3 and get that

x=45

Answer:

D, 45°

Step-by-step explanation:

at [tex]x=45[/tex]

the resulting angles would be [tex]45, 90, 45[/tex] and these add up to [tex]180[/tex]°

two angles of a triangle measure 29 degrees and 12 degrees what is the measure of the third angle?

Answers

Answer:

The measurement of the third angle would be 139 degrees.

Step-by-step explanation:

Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.

I hope this helps!

The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4 more seats than does the row in front of it.

how many seats are in the 7th row?

Answers

Answer:

38 seats

Step-by-step explanation:

10 + 4x = y

The answer is 38
Explanation.

Find A, 120°,140°,95°,80°

Answers

Answer:

a looks congruent to 95° so it's maybe around 95°

Step-by-step explanation:

i'm not sure sorry, but i think it's close to 95°

A = 105 degrees

pentagons add up to 540, and all angles added up is 435. 540 - 435 is 105.

Which expression is equivalent to (6 * p ) + 3? *

Answers

Answer:

What are the other choices

Step-by-step explanation:

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 5(m∠Y) − 210°. Find m∠Y.

Answers

Answer:

m∠Y = 50°

Step-by-step explanation:

let 'm' = m∠Y

m∠S + m∠Y = 90 (complementary)

5m - 210 + m = 90

6m = 300

m = 50

A pizza store sold 36 pepperoni pizzas in a day, which was 24% of their pizza sales.
What was the total number of pizzas sold that day?

Answers

Answer:

150 pizzas

Step-by-step explanation

36 pizzas are equivalent to 24% so i divided both sides by 4 which gave me 9 pizzas  for 6% . But 6 cannot fully fit into 100 so it will have to be a decimal i did 100 divided by 6 so i would know what i would have to divide both sides by which gave me  50/3 which was 16.66666667 which when i times by 9 by it gave me 150 pizzas

Hope this helps

PLS ANSWER! MY ASSIGNMENT IS OVERDUE!!! I know that the answer is 3, but I don't know how to get it.

Answers

Answer:

multiply 6x10then by 20

if u help me ur a very nice person :DDD

Answers

Answer:

D. -31 is less than -23

Step-by-step explanation:

Maria is a florist in a small boutique. If Maria paid her supplier 8.50$/dozen for roses and sold them for 19.95$, what was the mark up in percent?

Answers

Answer:

The markup percentage was 135%.

Step-by-step explanation:

In order to find the markup percent, you have to take the sales price minus the cost and divide that by the cost. Then, you have to multiply by 100 to establish the markup percentage:

markup percentage=((19.95-8.50)/8.50)*100

markup percentage=(11.45/8.50)*100

markup percentage=135%

According to this, the answer is that the markup percentage was 135%.


Describe a strategy to visualize and calculate=20% off
40.

Answers

Answer:

32

Step-by-step explanation:

First you're going to change 20% to a decimal which would be 0.20

Next, multiply .20 by 40

You should get 8

Subtract 8 from 40

You're answer is 32

Two groups are hiking at about the same speed . Mario’s group hikes for 2.5 hours Seemas group hikes for 4.7 hours and covers 8.8 more miles . How fast are the kickers going ? Solve the equation below to find out . 4.7x=2.5x+8.8

Answers

Answer: 18.8 miles

Step-by-step explanation:

Ww are given the equation 4.7x=2.5x+8.8 to solve the question. This will be:

4.7x = 2.5x + 8.8

Collect like terms.

4.7x - 2.5x = 8.8

2.2x.= 8.8

x = 8.8/2.2

x = 4

To know how fast the kickers are going will be

4.7x = 4.7 × 4 = 18.8 miles


I need help on this homework

Answers

Answer:

(4,0) and (2,0)

Step-by-step explanation:

For an x-intercept, y=0, so now we have:

(x-4)(x-2)=0

Anything multiplied by 0 is 0, so (x-4)=0 and/or (x-2)=0

(x-4)=0

x=4

(x-2)=0

x=2

The x-intercept co-ordinates are: (4,0), (2,0)

Answer:

x-intercepts are (4,0) and (2,0)

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!
14 + 18 ÷ 2 x 18 – 7 5) 60 – 9 x 8 ÷ 8 x 6





15 x 10 + 12 ÷ 3 + 9 6) (10 ÷ 5)3 + 100 – 9 x 11





8 x 4 + 9 – 9 + 18 7) 3 x 8 x 2 – 42 + 5

Answers

Answers:

14 + 18 ÷ 2 x 18 – 7 = 169

14 + 9 * 18 - 714 + 162 - 7169

60 – 9 x 8 ÷ 8 x 6 = 6

60 - 72 / 8 * 660 + -216/460 - 546

15 x 10 + 12 ÷ 3 + 9 = 163

150 + 12 / 3 + 9 150 + 4 + 9163

(10 ÷ 5)3 + 100 – 9 x 11 = 7

2 * 3 + 100 - 9 * 116 + 100 - 997

8 x 4 + 9 – 9 + 18 = 50

32 + 9 - 9 + 1841 - 9 + 1832 + 18 50

3 x 8 x 2 – 42 + 5 = 11

24 * 2 - 42 + 5 48 - 42 + 5 11

i hope this helps, good luck :)

Answer:

Step-by-step explanation:

14 + 18 ÷ 2 x 18 – 7 = 169

14 + 9 * 18 - 7

14 + 162 - 7

169

60 – 9 x 8 ÷ 8 x 6 = 6

60 - 72 / 8 * 6

60 + -216/4

60 - 54

6

15 x 10 + 12 ÷ 3 + 9 = 163

150 + 12 / 3 + 9

150 + 4 + 9

163

(10 ÷ 5)3 + 100 – 9 x 11 = 7

2 * 3 + 100 - 9 * 11

6 + 100 - 99

7

8 x 4 + 9 – 9 + 18 = 50

32 + 9 - 9 + 18

41 - 9 + 18

32 + 18

50

3 x 8 x 2 – 42 + 5 = 11

24 * 2 - 42 + 5

48 - 42 + 5

11

IS THIS A LINEAR FUNCTION? YES OR NO

Answers

No it is a nonlinear function notice how it is curved and not a straight line

When looking at a graphed System of Equations,
how do you determine which line is the better
deal?

Answers

Answer:

Step-by-step explanation:

So, if we are looking to save money, then it would probably be a good choice to go for the least steepest line. Assuming Money stands for the Y axis and Quantity stands for the X axis, then looking at the least steepest line means the lowest Y axis, which translates to the least amount of money.

2 1/3:4 1/2 write the ratio as a fraction in simplest form

Answers

Answer:

14/27

Step-by-step explanation:

7/3 ÷ 9/2

7/3 x 2/9 = 14/27

how many yards are in 8.2 Miles?​

Answers

The answer is 14432 yards

Answer:

14432 yards I hop this helps

Marcus is building a fence around his rectangular backyard. The length of his backyard is 75 3/4 ft, and the width is 81 1/4 ft. If the fence is 3/4 finished, how much fencing is left to complete?

Answers

Answer:

Step-by-step explanation:

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer: 235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Sorry for tabs!! I need help in this. Please help me.

Answers

Answer: 11 more i think

Step-by-step explanation:

Histograms in mathh
I need help with it because I am clueless!

Answers

Total number of squares = 60 + 80 + 110 + 115 + 95 + 40 = 500
1000/500 = 2 so each little square represents 2 people
60 x 2 as there’s 60 squares from 6-10 so answer is 120

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 675 square feet. The width of the basement is 1/3
its length. What is the length of Louis's basement?

Answers

I am reading this correctly, the width = 1/3 of the length?

If this is the case, and we know that the area is 675, the equation is as follows.

Width x Length = 675 ft2

X = length

1/3 X  x  X =  675 ft2

To solve for X we have to multiply both sides by 3.

X square 2 = 2601 square feet.

Take the square of each side.

X =  225 sqare feet.

I hope this helps, let me know if you have any questions.

Rachel loves to read. Her favorite books are Dr Suess. For every 13 books Rachel owns 8 are Dr Suess books.
If Rachel had 32 Dr Suess books, how many books did she have in total?

Answers

Answer:

32

Step-by-step explanation:

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