Theorem: a line parallel to one side of a triangle divides the other two proportionately.

in the figure below, segment de is parallel to segment bc and segment ef is parallel to ab:

the figure shows triangle abc with segments de and df. point d is on side ab, point e is on side ac and point f is on side bc. segment ad is 12, segment ae is 15, segment ec is 25, and segment fc is 30.

which statement can be proved true using the given theorem?

segment bf = 9
segment bd = 18
segment bd = 20
segment bf = 24

Option " Segment BD = 20 " is correct

Step-by-step explanation:

Consider figure (i)

Given :

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

In , , so as per the theorem : " A line parallel to one side of a triangle divides the other two proportionately ", we get

Also, as , so as per the theorem : " A line parallel to one side of a triangle divides the other two proportionately " , we get

Therefore, option " Segment BD = 20 " is correct .

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

13cm

step-by-step explanation:

(apex)