In ΔABC, centroid D is on median AM. AD = x + 3 and DM = 2x - 1. Find AM.
2 answers:
Answer:
Option A
Step-by-step explanation:
Given that in triangle ABC AM is one median
D is the centroid
We know by triangle conjectures that
in any triangle centroid divides median in the ratio 2:1
i.e. If D is centroid on AM,
then AD:DM =2:1
Substitute for AD and DM the given values
Hence answer is the length of AM
= AD+DM
=
Option A is the answer
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Answer:
The total number of ways are 168.
Step-by-step explanation:
Consider the provided information.
There are 7 junior and 3 senior coders in her group.
The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.
For second project we have 3 choices and for third project we have 7 choices.
Now there are 2 possible case:
Case I: If first and second coder is senior, then the total number of ways are:
Case II: If first and third coder is junior, then the total number of ways are:
Hence, the total number of ways are: 42+126=168