A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
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Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
Answer with Step-by-step explanation:
Let F be a field .Suppose and
We have to prove that a has unique multiplicative inverse.
Suppose a has two inverses b and c
Then, where 1 =Multiplicative identity
(cancel a on both sides)
Hence, a has unique multiplicative inverse.