Consider the prime factorization of 20!.
The LCM of 1, 2, ..., 20 must contain all the primes less than 20 in its factorization, so
where is some integer not divisible by any of these primes.
Compare the factorizations of the remaining divisors of 20!, and check off any whose factorizations are already contained in the product of primes above.
- missing a factor of 2
- ✓
- missing a factor of 2²
- missing a factor of 3
- ✓
- missing a factor of 2
- ✓
- ✓
- missing a factor of 2³
- missing a factor of 3
- missing a factor of 2
From the divisors marked "missing", we add the necessary missing factors to the factorization of , so that
Then the LCM of 1, 2, 3, …, 20 is
Answer:
y= \frac{15}{7}x + 7
not sure if that will work so
y = 15x/7x + 7
Step-by-step explanation:
Answer:
x = 20°
m∠A = 125°
Step-by-step explanation:
Angle A and B are alternate interior angle, so they are the same:
4x + 45 = 6x + 5
4x + 40 = 6x
40 = 2x
x = 20
m∠A = 6(20) + 5
m∠A = 120 + 5
m∠A = 125°
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
the answer is (1,31)
Step-by-step explanation:
As the x value increases by the y value increases by 8