Answer:
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that
Growing at a rate of 6% every year:
This means that . So
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
<h3>What is a triangle?</h3>A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangles ΔEST and ΔEFD are similar triangles, therefore, we can write,
Since S and T are midpoints of EF and ED, the lines will be divided into two equal parts. Therefore,
Therefore, we can write it as,
In ΔEST and ΔTDR
∠T ≅ ∠T {Vertical angles}
ET ≅ TD {T is the midpoint of ED}
∠SET ≅ ∠TDR {Alternate interior angles}
Therefore, ΔEST ≅ ΔTDR.
Since the two triangles are equal we can write,
ST ≅ TR
Further, it can be written as,
FD = 2(ST)
FD = ST + ST
FD = ST + TR
FD = SR
Hence, FD≅SR.
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Answer:
Step-by-step explanation:
We want to find the difference:
We expand the parenthesis using the distributive property to get:
Regroup similar terms on the right:
Combine similar terms on the right:
Therefore the difference is x-2