Answer:
A = 40°
B = 50°
Step-by-step explanation:
If cos A = sin B, then A + B = 90
So, 2x/3 + 20 + 2x - 10 = 90
2x + 60 + 6x - 30 = 270
8x + 30 = 270
8x = 240
x = 30
2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40
2x - 10 = 2(30) - 10 = 60 - 10 = 50 or 90 - 40 = 50
☆What is the prime factorization of 108?
To find the prime factorization, first divide 108 by 2.

You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.
★ Prime number collection: 2

Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.
★ Prime number collection: 2, 2

Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.
★ Prime number collection: 2, 2, 3

The two 3's are prime. No more dividing! Add those to the "prime number collection".
★ Prime number collection: 2, 2, 3, 3, 3
Multiply all the numbers in your "prime number collection".

Answer:
red,because The probability of choosing red is 5/12 but this probability for purple and blue is 2/12=1/6,and also for green marbles is 3/12=1/4
5/12>3/12>2/12
55 kilograms of aluminum and 345 kilograms of the other metals