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 .
The answer is A because the “hops” are jumping over two spaces which equals 2/10 simplified to 1/5. and since the number line stops at 2 it’d be 2 and not 1. If you do the keep change flip method for answer option one you get 10.
Answer:
6.7 * (10^7) = 67 000 000
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:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
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
Perimeter = 2 × π × r
Perimeter = 2 × 3.14 × 9
Perimeter = 56.52
Perimeter = 56.52 ÷ 2
Perimeter = 28.26
The perimeter of a semicircle with a radius of 9mm is 28.26