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Readme [11.4K]
4 years ago
10

Theorem: a line parallel to one side of a triangle divides the other two proportionately. In the figure shown below, segment DE

is parallel to segment BC and segment EF is parallel to AB. Which statement can be proved true using the given theorem?

Mathematics
2 answers:
bonufazy [111]4 years ago
5 0

Answer:

the answer is B because to parallel segs always match with

seg=18

Step-by-step explanation:

Natasha_Volkova [10]4 years ago
3 0

Answer:

<h2>BD = 20</h2><h2>BF = 18</h2>

Step-by-step explanation:

According to the given theorem, we can elaborate the following proportions

\frac{AD}{DB}=\frac{AE}{EC} and \frac{CE}{EA}=\frac{CF}{FB}

Using these proportions we can find sides DB and FB.

Replacing all values, we have

\frac{AD}{DB}=\frac{AE}{EC}\\\frac{12}{BD}=\frac{15}{25}\\  BD=\frac{300}{15}\\ BD=20

\frac{CE}{EA}=\frac{CF}{FB}\\\frac{25}{15}=\frac{30}{BF}\\BF=\frac{450}{25}\\ BF=18

Therefore, the right asnwers are BD = 20 and BF = 18

You might be interested in
Given the triangle below right at simplified expression that represents the perimeter in terms of x Use your expression to solve
Flauer [41]

Based on the given parameters, the value of x in the rectangle is 6

<h3>How to determine the value of x in the rectangle?</h3>

The given parameters are

Perimeter = 62

From the figure, we have

Length = 2x

Width = x + 13

The perimeter is calculated as:

P =2 * (L + W)

This gives

2 * (2x + x + 13) = 62

So, we have

2 * (3x + 13) = 62

Divide both sides in the above equation by 2

3x + 13 = 31

Subtract both sides in the above equation by 13

3x = 18

Divide both sides in the above equation by 3

x = 6

Hence, the value of x in the rectangle is 6

Read more about perimeter at:

brainly.com/question/397857

#SPJ1

4 0
2 years ago
Keianaka and Christopher are participating in a volunteer project painting homes for elderly people in their neighborhood. Keian
Burka [1]
The K-team can paint a whole house in 60 minutes (super fast!!!). How much of a house can the team paint in 1 minute?  The K-team can paint 1/60 of a house per minute.

The C-team can paint a whole hose in 80 minutes. How much of a house can the team paint in 1 minute? The C-team can paint 1/80 of a house per minute.

Suppose both teams paint for the same amount of time --  call the time t (minutes).

Combine the work they do to paint 1 whole house:

\frac{1}{60}t+\frac{1}{80}t=1

Multiply all the terms by the Least Common Denominator,  LCD = 240.

240(\frac{1}{60})t+240(\frac{1}{80})t=240

Now, can you finish it? By the way, the answer is not a whole number!  Hint: it will be between 30 and 40 minutes.
8 0
4 years ago
What is the sum of the
Dahasolnce [82]

Answer:

360 degree

Step-by-step explanation:

The sum of all the exterior angles is 360 for any polygon.

This can be proved for polygon with 20 sides also.

We know that sum of all the angles of polygon is given by formula = (2*n -4) *90

where n is the no. of sides of polygon

for 20 sides polygon sum of  sum of all the angles = (2*20 -4) * 90

= (40-4)*90 = 36*90 = 3240 degree

measure of each angle of polygon = sum of total angles of polygon/ no of sides of polygon = 3240/20 = 162

We also know that sum of interior and exterior angle of triangle is 180 degree, as interior and exterior angle  lies on straight line and they  are supplementary

so

162 + value of exterior angle = 180

=> value of exterior angle = 180 - 162 = 18

Value of one exterior angle is 18 degree

in 20 sided polygon there are 20 exterior angle

therefore, value of 20 exterior angle is 18*20 degree which is 360 degree.

__________________________________________________________

As a general point one can memorize than sum of all the exterior angle for a polygon with any number of side is 360.

3 0
3 years ago
if im getting $13 per week and im trying to save up for $349.99 how long will it take for me to save $349.99
Sedbober [7]

Answer:

About 27 weeks

Step-by-step explanation:

349.99/13 = 26.9 = 27

4 0
3 years ago
What is the value of x
mote1985 [20]

Answer:

awnser is 36

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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