Answer: x=20
Step-by-step explanation:
The two angles are vertically opposite so they are equal to each other
7x-99=2x+1
5x=100
x=20
Let the side length of the original square be x, then
1/4 x^2 = (x - 3)^2
x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36
3x^2 - 24x + 36 = 0
3(x^2 - 8x + 12) = 0
x^2 - 8x + 12 = 0
x^2 - 2x - 6x + 12 = 0
x(x - 2) - 6(x - 2) = 0
(x - 6)(x - 2) = 0
x - 6 = 0 or x - 2 = 0
x = 6 or x = 2
but x cannot be 2 since the side length of the smaller square will be negative.
Therefore, the side length of the original square is 6 inches.
The equation for this will be 9n-7
The short definition of diminished means subtract
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
Answer:
equal to 15
Step-by-step explanation:
