If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side
Here we have a case of the least common multipl(lcm) of 6 and 20.
Prime numbers 2,3,5,7,11,13,17,19... (natural numbers greater than 1 that has no positive divisors other than 1 and itself) .
lcm(6,20)= 6 20 | 2
3 10 | 3
1 10 | 2
5 | 5
1
2*3*2*5=60 The first one to get both calendar and the animal toy will be 60th.
Explenation: First we look for the smallest prime number with wich 6 and 20 can be devided by. That is 2. Next is 3. Since 10 is not divisible by 3, we only copy it. Under the 6 we got 1, wich is our goal. Now we continue to devide 10 by prime numbers till we also get 1. We now multiple all divisors and we get the least common multiple.
They paid $720
Here's why:
The formula to this is Interest = Principal x Rate x Time or i = prt
Principal = $2000
Rate = 12%
Time = 3 years
2000 x .12 x 3 = i PEMDAS
2000 x .12 = 240
240 x 3 = 720
i = $720
