How do I solve this question ??????
1 answer:
You might be interested in
Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:
Simplify the equation, solving for x. Add 7 to both sides:
Subtract 2x from both sides:
The value of x is 7. Insert the value of x into the given length of AC:
Simplify multiplication:
Subtract:
Therefore, the length of the line segment AC is 14.
:Done
Answer:
Given:
Total Number of people at the Drake’s sweet sixteen party = 40
Everyone in the party must meet and shake each other’s hand
1) How many handshakes are there altogether?
There was total of 780 handshakes in the party.
2. How did you get your solution:
If you have 7 people, person seven shakes six other hands, person
six shakes five other hands, person five shakes fours other hands,
person ,four shakes three other hands, person three shakes two other hands, and person two shakes one hand. Another way to see it is,
Person 7 +person 6 + person 5 + person 4 +person 3 + person 2 + person 1
= 6+5+ 4+3+2+1
=>21
so similairly in case of 40 persons
= 39+38+37+36+37+36+35+34 .................+3+2+1
=>780
3) What’s the quickest way to figure this out if Drake invited 1,000 people?
People at Party Number of Handshakes
2 1
3 1 + 2 = 3
4 1 + 2 + 3 = 6
5 1 + 2 + 3 + 4 = 10
6 1 + 2 + 3 + 4 + 5 = 15
.
.
.
n 1 + 2 + ...+ (n-1) = --------
Hence for n persons the number of handshakes will be
So for 1000 persons the number of handshakes will be
=>
=>
=>
=>499,500