Proving triangle similarity given QR PT and QPR STR prove PQR TSR

The triangles are right triangles, then we can apply Pytagoras´ theorem.

Solution is:

The triangles are similar

From the attached picture, and from parameterization concepts

RS = μ × RQ     0 < μ < 1

From Δ PRQ     sinα = RQ/PR               PQ = h₁ ( hypothenuse in Δ PRQ)

From Δ RST      sinα = RS/ST                ST = h₂ ( hypothenuse in Δ RST)

Then     RQ/h₁   = RS/h₂

or     RQ × h₂  =  RS × h₁      ⇒   h₂ = (RS/RQ) × h₁    ⇒ h₂ = μ × h₁

Then both hypothenuse are proportional, it follows both triangles are similar

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Here are the correct answers.

Step-by-step explanation:

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try looking in the very back of the book : )

step-by-step explanation:

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the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !