Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either i
1 answer:
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Answer:
Step-by-step explanation:
Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.
To prove: DE is parallel to BC.
Construction: Join DE.
Proof: If we prove the basic proportionality theorem that is , then it proves that DE is parallel to BC.
Now, Mid Point D has coordinates= and Mid Point E has coordinates=
Now, AD=
DB=
AE=
EC=
Now,
=
Hence,
Thus, By basic proportionality theorem, DE is parallel to BC.
Answer:
The number of kids NOT wearing socks in the gym = 20
Step-by-step explanation:
Here, the total number of kids in the gym = 80
Now, 75% of the kids are wearing socks.
Let us assume the number of kids wearing socks = m
⇒ 75 % of 80 = m
Calculating the value of m ,we get:
⇒ 60 kids are wearing socks.
Kids not wearing socks = Total kids in gym - Kids wearing socks
= 80 - 60 = 20
Hence, the number of kids NOT wearing socks in the gym = 60.