In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagonals. Find the length of the segment that is cut from that line by the legs of the trapezoid. Plz explain thx

Answers

Answer 1
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Answer 2

Answer:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

[tex] \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]

OC/AO = OB/DO = BC/AD=/ba

Triangles OAE and CAB are similar

EO/BC=b/(a+b)

EO=ab/(a+b)

again

OF=ba/(b+a)

and.

EF=2a/(a+b) is arequired length.

In A Trapezoid With Bases Of Lengths A And B, A Line Parallel To The Bases Is Drawn Through The Intersection

Related Questions

please help with my math homework

Answers

Answer:

sorry for that

Step-by-step explanation:

image is so unclear can't even read

Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:

12 feet to 15 inches


------/---------

Answers

Answer:12533

Step-by-step explanation:

Hi! I am having a hard time with this question. Can anyone help me out? I only need to answer the questions with the red circles

Answers

Answers: cos A=b/a, sin J=j/l, tan K=k/j

Explanation: The trig ratios are SohCahToa or Sin(o/h), Cos(a/h), and Tan(o/a).

When A is the reference angle, b is the adjacent side and a is always the hypotenuse (Cah).
When J is the reference angle, j is the opposite side and l is always the hypotenuse (Soh).
When K is the reference angle, k is the opposite side and j is the adjacent side (Toa).

If it takes 6 workers to paint a house in 48 hours how will it take 4 workers to paint the same house?

Answers

Step-by-step explanation:

6 worker do the painting of house = 48 hours

1 worker will take = 48/6 = 8 hours

4 worker will take. = 4× 8 = 32 hours

to paint the house

plz mark my answer as brainlist plzzzz vote me also .

hope this will be helpful to you ☺️.

Answer:

96 hours

Step-by-step explanation:

48 / 6 = 8

8 hours per worker.

4 x 8 = 24 x 2 = 48

So 96 hours

Hope that helps!

2 hours 17 minutes 2 hours 48 minutes 1 hour 53 minutes 2 hours 19 minutes 1 hour 38 minutes what it the team's score​

Answers

Answer:

8 hours and 175 minutes.

Step-by-step explanation:

So first add all the hours together: 2 + 2 + 1 + 2 + 1 = 8 Hours.

Then add all the minutes together: 17 + 48 + 53 + 19 + 38 = 175 Minutes.

Therefore, the team's score is 8 hours and 175 minutes.

I hope this helped!

Answer: 11hours 55minutes

how to rewrite 6(38) using the distributive property?

Answers

6 x 38 = 6 x ( 19 x 2)
= (6 x 19) + (6 x 2)
= 114 + 12
= 226

Solve for x. Enter the solutions from least to greatest.
(2+8)^2 – 2 = 0
lesser x =
greater x =

Answers

Answer:

the answer to this question is 98=0

Find the equation of the line
Use exact numbers

Answers

The answer is y = x - 5

Sub in 0 to find the y intercept, and count rise over run to find the slope (1)

Answer:

y = 1x + -5

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.

y = mx + b ⇒ y = mx - 5

now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0)  from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].

first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]

then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.

[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]

now simplify by subtracting 0 from 3 and 5 from 8.

3 - 0 = 38 - 5 = 3

the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or  3 ÷ 3 = 1.

the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)

i hope this helps! have a lovely day <3

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.

Let I = the event that a player is an infielder.

Let 0 = the event that a player is an outfielder

Let H = the event that a player is a great hitter.

Let N = the event that a player is not a great hitter.


Write the symbols for the probability that of all the great hitters, a player is an outfielder.

Answers

Answer:

P(H | I)

Step-by-step explanation:

Given that

Some players considered to be great hitters and some would be not great htters

So based on the symbols given in the question

For all the great hitters a player would be an outfielder

For this the symbol is

P(H | I)

The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].

Given information:

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.

Lets assume,

I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.

It is required to write the probability that of all the great hitters, a player is an outfielder.

It is required that the player should be outfielder and hitter both.

So, the required probability can be written as,

[tex]P(O\cap H)[/tex]

Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].

For further  details refer the given link:

https://brainly.com/question/795909

600% of what number is 5,580

Answers

Answer:

930

Step-by-step explanation:

600% of x = 5580

6x = 5580

x = 5580/6

x = 930

Would a scatter plot showing the size of a swimming pool and the amount
of water to fill it show a positive, negative, or no relationship?

Answers

Answer: a scatter plot

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

As size increases, amount of water to fill it would obviously increase. This means there is a positive increase, meaning that the correlation would be positive.

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

To get to the baseball game, Todd drove 2 hours and 10 minutes, stopped for 15 minutes, then drove 1 hour 15 minutes more to get to the game. If he arrived at 6:10, what time did he leave?

Answers

2:30 is the answer(:
Welll if he drove for 3 hours and 25 mins and stopped for 15 mins and arrived at 6:10 then he probably left 3:30

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you
get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open

Answers

He needs 18,000 points.

He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:

18000 - 100 = 17,900 more points.

Divide the points needed by points per word:

17,900 / 50 = 358

He needs at least 358 words.

The inequality would be 50x+100>=18000, where x is the number of words.

Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.

What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4

Answers

Answer:

the first four terms is 3, 0, -3, -6

Select the correct answer. What is the solution to the equation? ​

Answers

Answer:

I think there is no solution to this problem

Step-by-step explanation:

Answer:

c because 3x3 is 9 and 3 plus 9 is 12

Step-by-step explanation:

Find the value of x. 7 3
x=

Answers

Step-by-step explanation:

these are your answers anyways you're welcome bye bye

Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

Answers

Answer:

t(x) = 6x + 438

Step-by-step explanation:

The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.

Note that the first function is fixed and doesn't  actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.

// combining the two functions

t(x) = 450 + 6(x − 2)

// simplification

t(x) = 450 + 6x − 12

t(x) = 450 + 6x − 12

// the simplified function is

t(x) = 6x + 438

Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?

Answers

Answer:

$1200

Step-by-step explanation:

we know that,

I=PTR/100=200*4*3/100=100*4*3=400*3=$1200

Answer:

1,200

Step-by-step explanation:

can someone help me solve this please :))

Answers

I just need somebody to help me and for some reason I have to answer somebody’s thing

Can anyone please help me with 13-16 I’m begging anybody

Answers

Answer:

-3

Step-by-step explanation:

An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.

13-16, 16 is larger than 13 so it's negative

PLS Help While on a strenuous hike, Tara recorded her distance from the peak of the mountain at two different time intervals. The table shows the two pieces of data she collected.

Answers

Answer:

Step-by-step explanation:

Equation of a line  representing the relation between distance from the peak of the mountain and time is,

h = mt + b

Here, m = Slope of the line

b = y-intercept

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (2, 2600) and (5, 950) will be,

m = [tex]\frac{2600-950}{2-5}[/tex]

   = -550

Therefore, equation of the line will be,

h = -550t + b

Since, point (2, 2600) lies on this line,

2600 = -550(2) + b

b = 2600 + 1100

b = 3700

So, equation of the line will be,

h = -550t + 3700

Input - output values for this line,

t            2             4            6  

h        2600      1500       400  

Now we can plot these points and get the graph of the line.

Circle the fraction greater than 3/10?

1/3

3/11

4/15

Or 29/100​

Answers

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

I need help so please be nice and help me hurry cause I have to turn this in!!

Answers

Answer:

16 easy

Step-by-step explanation:

2/4 - 1/4 please hep i know im not that good
for asking this

Answers

Since they have equal bases you can subtract it like a regular number. 2-1 equals 1 so the answer would be 1/4

la picina de Javier se llena con 5 galones de agua.Si cada galón de agua equivale a 3.785 litros cuántos litros se ocupan para llenar la picina​

Answers

Answer:

I don't know your language

Answer:

se llena con 18.925 litros

Step-by-step explanation:

5x 3.785

How to solve this equation

Answers

Answer:

[tex]\frac{y^{6}}{4x^{2} }[/tex]

Step-by-step explanation:

ANSWER ASAP I WILL GIVE BRAINLIST

Answers

Answer:

its upside down

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = {1,4,7,9).

P(E)= ____?

(Type an integer or a decimal. Do not round.)

Answers

Answer:

Step-by-step explanation:

With replacement

(1/10)^4

1/10000

0.0001

Without replacement

(1/10)(1/9)(1/8)(1/7)

1/5040

0.00019841269

How can you tell how many solutions a linear equation will have by looking at the equation?

Answers

Answer:

A system of two equations can be classified as follows

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

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