Answer:
DB = 6
Step-by-step explanation:
See the attached figure to the question.
Since O is the center of the given circle, so AB and CD are diameters of the circle.
Hence, AO = CO = OD = OB = radius of the circle = 6
In Δ OAC, we have AO = OC. Hence, ∠ A = ∠C = 60° {Given that ∠OAC = 60°}
So, ∠ AOC will automatically become 60°. {As the sum of all the angles of a triangle is 180°}
So, Δ AOC is equilateral triangle.
Now, ∠ AOC = ∠ BOD = 60° {Since, they are vertically opposite angles}
Now, in Δ BOD, we have DO = OB. Hence, ∠ D = ∠ B = 60° {As the sum of all the angles of a triangle is 180°}
So, Δ BOD is also an equilateral triangle.
So, DB = BO = DO = 6. (Answer)
Answer:
154 students
Step-by-step explanation:
First get the total number of students .
This can be gotten by
12% of A = 21
Where A represents the total number of students.
12% represents the % of A that chose to study French and 21 is the number of students that studied French .
Therefore,
12% /100% x A = 21
0.12 x A = 21
Divide both sides by 0.12
0.12/0.12 x A = 21/0.12
A = 175
The total number of students is 175.
If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.
That’s
175 - 21
= 154
154 students chose not to study French their freshman year
Answer:
N = 2
Step-by-step explanation:
n + 5(n-1) = 7
n + 5n - 5 = 7
6n - 5 = 7
6n = 12
n = 2
HOPE THIS HELPS
PLZZ MARK BRAINLIEST!!!
Well since you're using 3/8 and you need to make 4 batches, you need to multiply 3/8 with 4 it would equal 12/8 or 1 4/8 (I could be wrong but this is my answer hopefully this helps) :) <span />

so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".
however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus
k = n - 1.
however, if k = n - 1, then
k + 1 = n. So let's use those fellows then,