Answer
Find out the value of x.
To prove
Definition of mid- segment
It is a segment connecting the midpoints of two sides of a triangle.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
As shown in the triangle given below.
As given
DE = 5x and BC = 11x – 15
Thus
15 = 11x - 10x
15 = x
Therefore the value of x is 15 .
Using an exponential function, it is found that the Tequesta settlement is 1845 years old.
<h3>What is an exponential function?</h3>The exponential equation for a decaying amount of a substance is given by:
In which:
Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.
Hence, the equation is:
The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).
The Tequesta settlement is 1845 years old.
You can learn more about exponential functions at brainly.com/question/25537936