Step-by-step explanation:
x+2+x=180
2x=180-2
2x=178
x=89
In this question ,it is given that
The penny size of a nail indicates the length of the nail. The penny size
d is given by the literal equation

where n is the length (in inches) of the nail.
In the first part we have to solve for n .
And for that firt we add 2 to both sides

Now we divide both sides by 4, that is

Part b.
When d=3

When d =6, we will get

When d =10, we will get

Answer:
B
Step-by-step explanation:
3x2-3x5i-7ix2x7ix(-5i)
6-15i-14i+35i^2
6-15i-14i+35x(-1)
6-15i-14i-35
Answer: oh gosh, rlly bad at math... let me do the maths quick, and will edit my answer to the correct answer i dont have enough time, -7a+11
Step-by-step explanation:
Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite