Reason 2, where the [1] is at, is Definition of Midpoint
P is the midpoint of TQ and RS, so it cuts those segment into two congruent halves
Statement 3, where the [2] is at, is Angle TPR = Angle QPS
These two angles are vertical angles. They are opposite one another formed by the intersection of TQ and QS. Vertical angles are congruent.
Reason 4, where the [3] is at, is SAS Congruence Theorem
The two pairs of S terms are taken care of by statement 2. The middle angles A are the result from statement 3.
Multiply negative eigt by nine. You get negative 72.
Add negative 72 to 7. you get negative 65.
-65/9
I THINK
First all, the decay formula is
where:
is the remaining quantity after
years
is the initial sample
is the time in years
is the decay constant
From the problem we know that
and
, but we don't have the time
; to find it we will take advantage of the half-life of the Carbon-14. If you have a sample of 100 mg and Carbon-14 has a half-life of 5730, after 5730 years you will have half of your original sample i.e. 50 mg. We also know that after
years we have a remaining sample of 33mg, so the amount of the sample that decayed is
. Knowing all of this we can set up a rule 3 and solve it to find
:
Now that we know our time
lets replace all the values into our decay formula:
Notice that the constant
we need to find is the exponent; we must use logarithms to bring it down, but first lets isolate the exponential expression:
We can conclude that the decay constant
is approximately -0.000144
The perimeter is the sum of the side-lengths, which we're given! We don't know the value of a, but we can find the perimeter in terms of a by adding up the side-lengths:
So our answer is
.
Answer:
About $1.82
Step-by-step explanation: