Answer:
Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled 
in which we are given the base and the height of the triangle.
And we have to find the value of 
(Because they are the internal vertically opposite angles).
Using tangent ratio:
Therefore, the angle of depression is:
The answer 456 fe
Because it the benefit is doing today
Answer:
It is m(x) = 20,000(0.97)^x.
Step-by-step explanation:
After 1990, each year has (100-3) = 97% ( or 0.97) of visitors that it had the previous year.
So m(x) = 20,000(0.97)^x (answer).
So we are given a system:
Substitute x = 2 we get the system:
Multiply the first equation by -5 and the second by 2 we get the system:
Adding the two equations we get :
We find the value of y by using any of the other equations like this:
Final solution:
Answer:
Coordinates of Vertices of triangle ABC are A (-4,3) , B(4,4) and C(1,1).
As, DO is Dilation of Δ ABC by Scale factor of 
.
Vertices of A' B'C' are
So, Image Δ A'B'C' will be smaller than the Pre image Δ ABC.
The two triangles will be congruent.
AO is Dilated by a factor of half , so A'O' will be half of AO.
So, correct Statements are
1. AB is parallel to A'B'.
2.DO,1/2(x, y) =
The distance from A' to the origin is half the distance from A to the origin.
