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:
You have consumed 164 calories in total
Step-by-step explanation:
12 calories × 5 crackers = 60 calories
52 calories × 2 cookies = 104 calories
104 + 60 = 164 calories in total
Gold crowns are earned by answering peoples questions and them giving you 'The brainliest answer'. There is no solid way of getting gold crowns as they are awarded by the person presenting a question. The best advice I can give you for getting them is by providing the best and most explained and well thought out correct answer to peoples questions.
Answer:
A= 1/2d -1/2N
Step-by-step explanation:
Answer:
Angle A = 29°
Step-by-step explanation:
Remember one thing that when two secants intersect in the exterior of a circle then A=1/2(mDE-mBC) it means that the measure of the angle formed is one half the difference of the measures of the intercepted arcs
Now put the values in the equation.
A=1/2(mDE-mBC)
A=1/2(70-12)
A=1/2(58)
A = 29°
Thus angle A = 29° ....