use the geometric mean theorems to find AC and BD. BA=20 BC=15

Use The Geometric Mean Theorems To Find AC And BD. BA=20 BC=15

Answers

Answer 1

Step-by-step explanation:

first, you use the pythagorean theorem to find the missing side of the original and big triangle.

[tex]20 {}^{2} + 15 {}^{2} [/tex]

next, you simplify these into actual numbers

[tex]400 + 225[/tex]

after, you add these numbers together and find the square root.

[tex]\sqrt{625} = 25[/tex]

you have the answer for AC. next you need to find BD. of you line up BC with BD, BC would be longer, , so you know its shorter, but not by much, so I'd assume to guess like 13 for BD- that's just me- but I'm not sure how to exactly find it.

Answer 2

The requried Measure of the BD and AC in the given question is 17.32 and 25 respectively.

What is the geometric mean theorem?

The geometric mean theorem for a right triangle states that the length of the altitude (height) to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

Here,
From the triangle, following the Geometric mean theorem,

BD = √[AB×BC]
BD = √[20×15]
BD = √17.32

Now,
Applying the Pythagorean theorem to find AC,
AC = √15² + 20²
AC = 25

Thus, the requried Measure of the BD AC in the given question is 17.32 and 25 respectively.

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Related Questions

What is the HCF of 108 and 270?​

Answers

Answer:

gcf, hcf, gcd (108; 270) = 54 = 2 × 3^3: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

Step-by-step explanation:

Hope this helps :)

The highest common factor (HCF) of two given numbers is 54.

What is the highest common factor?

The largest number among all the common factors of the provided numbers is the GCF or HCF of two or more numbers. Their GCF is the largest integer that can be used to divide the two natural integers x and y without leaving any remainders.

The given numbers are 108 and 270.

The prime factors of the numbers 108 and 270 are

108=2×2×3×3×3

270=2×3×3×3×5

So, HCF is 2×3×3×3=54

Therefore, HCF of 108 and 270 is 54.

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billy stacked 1 inch by 1 inch plastic blocks on his desk. he created a small wall. what is the volume of the wall of which he created?

Answers

Answer:

5

Step-by-step explanation:

conducting all dl dm dm dl k dl lwhat

Identify the Greatest Common Factor (GCF) of: 2x^2-10x -28
a. 2x
C. 5x
b. 2
d. -14

Answers

Answer:

b. 2

Step-by-step explanation:

All the terms are even numbers. They don't all have x.

can someone help me please
True or false

Answers

Answer:

True

Step-by-step explanation:

Please help!!!part a

Answers

Answer:

b = 76°

Step-by-step explanation:

Hi there,

It is important to know that the sum of all the angles in any triangle equals 180°.

For this problem, we can write the following equation:

32° + 72° + b°  = 180°

104° + b° = 180°

b° = 76°

Hope my explanation helps. Cheers.

Determine if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

they are not congruent

Step-by-step explanation:

the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.

Please! I need it ASAP. Please prove it. I promise to mark the BRAINLIEST​

Answers

Answer:

We know that:

PQ = p - q

Also:

PA = p - a

We are given:

PA = 1/6PQ ⇒ PQ = 6 PA

Compare the values of PQ

p - q = 6(p - a)p - q = 6p - 6a6a = 6p - p + q6a = 5p + qa = 1/6(5p + q)

Proved

Question 17
In a bag of trail mix, there is a ratio of 3 scoops of granola, 2 scoops of chocolate chips, and 1 scoop of pean
How many scoops of chocolate chips and peanuts will he need to keep the ratio equivalent?
A
17 scoops of chocolate chips and 16 scoops of peanuts
B
12 scoops of chocolate chips and 6 scoops of peanuts
с
8 scoops of chocolate chips and 7 scoops of peanuts
D
2 scoops of chocolate chips and 1 scoop of peanuts

Answers

Answer:

12 scoops of chocolate chips and 6 scoops of peanuts

Step-by-step explanation:

4x (12 - 5y + z)
I need help with this​

Answers

Answer:

-20xy + 4xz + 48x

Step-by-step explanation:

Just Distribute :)

Answer:

48x-20xy+4xz

Step-by-step explanation:

You need to distribute the 4x to the rest of the equation so the equation will become 48x-20xy+4xz, this is because 4x * 12 = 48x and 4x*-5y =-20xy and it's xy because x comes before y in the alphabet and then lastly 4x * z same thing it's gunna be xz, so the answer is 48x-20xy+4xz.

Graph the function.
g(x)=1/2•2^x someone please help me

Answers

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
y
=
0
.
Horizontal Asymptote:

Answer: (0,1/2) (1,1)

Step-by-step explanation:

1/2 x 2^0 = 1/2

1/2 x 2^1 = 1

Exponential Growth

Solve for the length of x.​

Answers

Answer:

67.214 is the value of x

Hope it helps!!!

The equation y=21.2x represents Austin's earnings in dollars and cents, y,
for working x hours. Find the rate of change.


Answers

Given:

The equation is

[tex]y=21.2x[/tex]

Where, y is earnings for working in dollars and cents and x is the number of working hours.

To find:

The rate of change.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]          ...(i)

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

We have,

[tex]y=21.2x[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]m=21.2[/tex]

Therefore, the rate of change is 21.2 dollar and cents per hour.

Is it possible to add the data for an additional hike to the line plot so that the range increases but the median does not change?

Answers

Answer:

Not possible

Step-by-step explanation

Range is the difference between the highest and lowest data value in a data set. It is used to define the spread on data on the graph. Higher the range higher will be spread of data.

Whereas median is the middle value(odd number of data values) or average of the middle values(even number of data values) in a data set.

Therefore, adding an additional data value will surely change range( increase in case, the value is higher than other values) at same time it will also effect the median of the data set. So, it not possible to add the data for an additional hike to the line plot so that the range increases but the median does not change

Find the solution of the system of equations.
-6x-10y=-18 -3x+10y=36

Answers

Answer:

problem one

x = 3- 5y/3

y = 9/5 - 3x/5

problem 2

x= -12 + 10y/3

y= 18/5 + 3x/10

Step-by-step explanation:

Is 2/5 and 20/100 equivalent?
is 3/6 and 50/100 equivalent?
150/600 and 40/100 equivalent?

Answers

First 2 are equivalent. Last one is not equivalent.

Answer:

Is 2/5 and 20/100 equivalent? No

is 3/6 and 50/100 equivalent? Yes

150/600 and 40/100 equivalent? Yes

Step-by-step explanation:

WILL GIVE BRAINLIEST! NEED INSTANT HELP!
The distance s, in feet, that an object will fall in t seconds is given by the formula
s = 16t2 + vt,
where v is the initial velocity of the object in feet per second.

Find the initial velocity of an object that falls 96 ft in 2 s.
ft/s

Answers

Answer:

Step-by-step explanation:

monke is  monke is smart monke rip banana apart s=16

HEEEEEEEEELLLLLLLLLLLLLLPPPPPPPPPPPPPPPP

Answers

Answer:

∠10 + 12(3) = 46°

∠15(3) + 1 = 46°

Step-by-step explanation:

the angles are equal because they are corresponding angles

(10+12x) =  (15x+1)

reduce:

3x = 9

x = 3

10 + 12(3) = 46°

15(3) + 1 = 46°

Please make sure the answer is right I only have 6 questions help?

Answers

Answer:

i told you the answer is -8

Answer:all

recall that the inside angles of a triangle add up to 180

Step-by-step explanation:

now add up all the angles and make it equal to 180 :)  

as follows

X+58+45+85 = 180

now use algebra ... and solve for X  :)

X = 180-58-45-85

my calculators tells me....

X = -8

what does that answer mean?

it's saying ... like this   58-8    is that angle.. does that help    ? :)

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

1/2 is the slope

Step-by-step explanation:

Slope is rise over run

it goes up 1 and across 2

therefore the slope is 1/2

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]slope = \frac{rise}{run} = \frac{1}{2}[/tex]

what breakdown protein products

a.urea
b. carbon dioxide
c. water
d. oxygen​

Answers

Answer:

b carbon dioxide yan nag answer

The sum of 2 numbers is 27. The larger number is 3 times more than the smaller number. What are the numbers?

Answers

Answer:

The first number is 6.75

The second number is 20.25

Step-by-step explanation:

I went into decimals

can anyone answer this?

Answers

Answer:

C

Step-by-step explanation:

Answer:

(3,4), (4,-3)

Step-by-step explanation:

When finding a point on a graph, do the x-axis first, then the y-axis. For this equation, move three to the right on the x-axis, then move upward 4 times to get to the point. Or move up 4 times, then 3 to the right. Hope this helps!

f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3 2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3

Answers

Answer:

im confused. what math structure is this

3x-y=2
2x-y=3
Solve with elimination

Answers

Answer:

5

Step-by-step explanation:

{  

3x−y=2

2x−y=3

​  

 

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

3x−y=2,2x−y=3

Subtract 2x−y=3 from 3x−y=2 by subtracting like terms on each side of the equal sign.

3x−2x−y+y=2−3

Add −y to y. Terms −y and y cancel out, leaving an equation with only one variable that can be solved.

3x−2x=2−3

Add 3x to −2x.

x=2−3

Add 2 to −3.

x=−1

Substitute −1 for x in 2x−y=3. Because the resulting equation contains only one variable, you can solve for y directly.

2(−1)−y=3

Multiply 2 times −1.

−2−y=3

Add 2 to both sides of the equation.

−y=5

Divide both sides by −1.

y=−5

The system is now solved.

x=−1,y=−5

ООО
Find the coordinates of the image's vertices.
6. A triangle with vertices ((-2,4), M(-2, 8), and N(-6, 4) is rotated 90° counterclockwise about the origin.
a. L'(-2,-4), M'(-2, -8), and N'(-6,-4)
b. LT-4,2), M (-8,2), and NY-4, 6)
c. L'44,-2), M'(-8,-2), and N'Y 4, 6)
d. L(4-2), M'(8,-2), and N (4-6)

Answers

Dang this look hard a it might be -8,2

The coordinates of the triangle after the rotation is L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔLMN

L ( -2 ,4 ) , M ( -2 , 8 ) , and N ( -6 , 4 )

Now , the rotation angle is = 90° counterclockwise about the origin

Let the coordinates of the rotated triangle be ΔL'M'N'

where , 90° counterclockwise rotation: (x,y) becomes (-y,x)

So , L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )

Hence , the rotated triangle is L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )

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9 oz = ____ lb as a fraction
18 oz=____ lb as a fraction
will vote most brainliest​

Answers

Answer:

9 oz=0.5625 lbs.

18 oz=1.125 lbs.

Step-by-step explanation:

SOMEONE HELP ME I NEED IT

Answers

Answer: (D)

your answer will be 3

Step-by-step explanation:

have a nice day

Answer:

D) 3

Step-by-step explanation:

[tex]y+\frac{y-3}{3}[/tex]   |  

[tex]\frac{4y-3}{3}[/tex]

[tex]\frac{3y+(y-3)}{3}[/tex]   |  

[tex]\frac{15+18}{27y}[/tex]

[tex]\frac{3y+y-3}{3} = \frac{4y-3}{3} *\frac{27y}{33}[/tex]

[tex]\frac{4y-3}{3}[/tex]          

[tex]\frac{(4y-3)(27y)}{3x33}[/tex]

Common denominator:- 3

✧༝┉┉˚*❋ ❋ ❋*˚┉┉༝✧

hope it helps...

have a great day!!

PLEASE HURRY which expression is equivalent to -6(-2/3 + 2x)

Answers

Answer:

It's 4-12x

Step-by-step explanation:

I need to solve for x btw these are corresponding angles ​

Answers

Step-by-step explanation:

As we know corresponding angles are equal so

6x - 100° = 2x + 4° < being corresponding angles>

6x - 2x = 100 ° + 4°

4x = 104°

x = 104° / 4

x = 26°

Hope it will help :)❤

I don’t know how to do this someone help plz

Answers

Answer:

A

Step-by-step explanation:

Cos 0= 2/3

0=2nd function of cos2/3= 48.189°

=48°

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