Answer: A is the correct option.Segment AD is 3 and segment AE is 2.
Step-by-step explanation:
Given : A triangle ABC where AC=4 and AB=6
then to prove segment DE is parallel to segment BC and half its length.
the length of AD and AE must divide AC and AB respectively to get the same ratio of 2:1
To apply converse of basic proportionality theorem.
If we take first option Segment AD is 3 and segment AE is 2 then

Therefore by converse of basic proportionality theorem
DE is parallel to segment BC and half its length.
Therefore A is correct option.
-18x-8y-14 because you need to distribute the digits
Answer:
196
Step-by-step explanation:
Since the largest share was 56 and the largest ratio is 14, then
56 ÷ 14 = 4 ← value of 1 part of the share, thus
8 parts = 8 × 4 = 32
6 parts = 6 × 4 = 24
9 parts = 9 × 4 = 36
14 parts = 14 × 4 = 56
12 parts = 12 × 4 = 48
Total the amounts
total = 32 + 24 + 36 + 56 + 48 = 196
Answer:
Step-by-step explanation:
Easy way to do this is;
1
8 _
2
8 * 2 = 16
16 + 1 = 17
17/2 = 8 , 1/2