Answer:
60 hand shakes.
Step-by-step explanation:
We have been given that there are 6 married couples at a party.
This means there are 12 people in total.
We know that number of handshakes for n people is given by formula
.
We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.
So formula for this problem would be
or
.
Since total numbers of people is party is 12, so we will get:



Therefore, there will be 60 hand shakes at the party.
That answer was (B)................
Answer:
Anton's definition is not valid.
Step-by-step explanation:
We have been given that Anton defines an acute angle as an angle that is not obtuse. We are asked to find whether Anton's definition is valid or not.
We know that an angle is known as acute angle whose measure is greater than 0 and less than 90 degrees.
We also know that an angle is known as obtuse angle whose measure is greater than 90 degrees and less than 180 degrees.
We know that a right triangle is neither acute nor obtuse. Since Anton hasn't mentioned a right triangle to his definition, therefore, his definition is not valid.
The length of the diagonal line is 191 meters.
135² + 135² = c²
18225+18225 =c²
√36450 = √c²
190.91 = c
Round to the nearest meter = 191 meters