<span>The bacteria in a certain culture double every 7.1 hours.
The culture has 6,500 bacteria at the start. How much after 4 hrs
:
Using the formula: A = Ao*2^(t/d) where
A = amt after t time
Ao = initial amt (t=0)
t = time of action
d = doubling time of the bacteria
;
A = 6500*2^(4/7.1)
A = 6500 * 1.4777
A = 9605 bacteria after 4 hrs</span>
Answer:
angle BEC is congruent to angle FEG (vertical opposite angles)
other than that, I'm not sure if the other angles are congruent bc of their marks.
Step-by-step explanation:
For
, on the left we have
, and on the right,

(where we use the double angle identity:
)
Suppose the relation holds for
:

Then for
, the left side is

So we want to show that

On the left side, we can combine the fractions:

Recall that

so that we can write




(another double angle identity:
)
Then recall that

which lets us consolidate the numerator to get what we wanted:

and the identity is established.