Answer:
36
Step-by-step explanation:
angle ACB = 180-130=50 degree
angle ABC = 180 - (94+50)
= 180-144
= 36
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
Mike will get there first with a time of 32 minutes and Jared with 40 minutes
Answer:
<em> 4 pairs of earrings </em>
Step-by-step explanation:
3.75 e + 9.50 < 25
3.75 e < 25 - 9.50 = 15.50
e < 15.50 ÷ 3.75 ≈ 4.13
e =<em> 4 pairs of earrings</em>
