Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:

Where
is the final population
is the initial population
is the growth factor
is the time taken for the growth 'b'
is the amount of time
Here, we are given that:
= 6. 9 grams
= 110.4 grams

min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to
.
Putting the values in the formula, we get:

Therefore, the answer is:
<em>4 half lives </em>have passed.
b.) Total time of decay. We have to find the value of
here.
From answer of part a.):

3/8 ÷ 3/4
4/8 = 1/2
the sloth moves 1/2 a foot per minute
We can write,
1 3/4 as 7/4 & 3 1/2 as 7/2
So, 7/4 + 7/2 = 21 / 4 in fraction form.
OR 5 1/4 in mixed form.