Answer:
X=5.5cm
Step-by-step explanation:
Hope this helped.
Factorize the quadratic trinomial 
by the rule:
1. Find the roots:
2. Factorize the polynomial:
3. Only factor x-2 is given in options, then the correct choice is B.
Answer:
Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:
A. octagon.
Step-by-step explanation:
We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:
Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.
i.e. we have:
Hence, the number of sides of a polygon are 8.
Hence, the polygon is:
A. octagon.
( Since a polygon with 8 sides is called a octagon)
Answer:
The probability is 52/83
Step-by-step explanation:
In this question, we are tasked with calculating the probability of having a student who is a sophomore or a student that wears glasses.
To do this, what we do is to first calculate the probability of having a student that is a sophomore, then calculate the probability of having a student wearing glasses. Now, considering the linking word or between the two cases, wherever we have or in probability, we are to add.
Firstly , let’s calculate the number of students we have = 6 + 13 + 5 + 27 + 9 + 23 = 83 students
The total number of sophomores we have is 5 + 27 = 32
Thus, the probability of having a sophomore is 32/83
The second case is that if a student that wears glasses. The total number of student wearing glasses is 6 + 5 + 9 = 20 students
The probability of finding a student wearing glasses is thus 20/83
Now, the probability of finding a student who wears glass or is a sophomore is 20/83 + 32/83 = 52/83
