Answer:
1 1/4
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
Answer:
the side lengths of the second triangle are 2.25mm ,3m, and 3.75mm
the work shown:
3mm 3mm × 3cm/4cm = 2.25mm
4mm 4mm × 3cm/4cm = 3mm
5mm 5mm × 3cm/4cm = 3.75mm
Let's consider two prime numbers where each is larger than 2
Say the primes 7 and 11. Adding them gets us 7+11 = 18. This counter example disproves the initial claim since 18 = 9*2 = 6*3 making 18 composite (not prime)
In general, if we let p and q be two primes such that q > p > 2 and q is the next prime after p, then p and q are both odd. If any of them were even then they wouldn't be prime (2 would be a factor)
Adding any two odd numbers together leads to an even number
Proof:
p = 2k+1 where k is some integer
q = 2m+1 where m is some integer
p+q = 2k+1+2m+1 = 2(k+m) + 2 = 2(k+m+1) which is in the form of an even number
That proof above shows us that adding any prime larger than 2 to its next prime up leads to an even number. This further shows us that the claim is false overall. It is only true if you restrict yourself to the primes 2 and 3, which add to 5. Otherwise, the claim is false.
Answer:
-11
Step-by-step explanation:
