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.
Answer:
36
Step-by-step explanation:
The initial term is the very first term
36, 24, 16, ...?
has an initial term of 36
1. Box off the squares (which you did)
2. Solve the area of the squares: (10cm x 10cm = 100cm each square)
3. Solve the area of the rectangle that is left: (you would do 40cm x 10cm since the other 10cm went with the square. The rectangle should end up to be 400cm.
4. Add the areas: 100cm + 100cm +400cm = 600cm
600cm is the answer
Answer:
12,150
Step-by-step explanation:
50 times 3 is 150.
150 times 3 is 450.
Continue doing this until you've done it five times.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p