Mathematics, 29.08.2019 12:30, jayla69

Triangle abc is similar to triangle cde. both are right triangles.
which statements about the two triangles must be true?
choose all answers that are correct.
a.
sides ab and bc are proportional to sides cd and de.
b.
side ac has the same slope as side ce.
c.
triangle abc is congruent to triangle cde.
d.
side ac is congruent to side ce.

Triangle abc is similar to triangle cde. both are right triangles. which statements abou

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answered: 0139236

Let's review "similar" and "congruent." "Congruent" means the same--so two congruent line segments will be the same length; two congruent figures have the same angle measures, same side lengths, same area, etc. "Similar" means that the sides and area are PROPORTIONAL, not the same: you can divide or multiply them all by the same number and get the measures of the other. Note that the angles must still be the same measures.

So, let's look at A, first comparing AB and CD. AB is 4 units long, and CD is 2 units long. 4/2=2, so AB is twice the length of CD. What about BC and DE? BC=6, and DE=3. 6/3=2. Since BOTH AB and BC are twice the length of CD and DE, they are proportional. A is correct!

In B, if side AC has the same slope as side CE, then basically they have the same incline. They are on the same line, and this line has a slope. Since they are both on this line, they both must have the same slope as this line, and therefore the same slope as each other. B is correct.

What about C? Are the triangles congruent? NO, because their side lengths are different (though proportional). C is incorrect. And D? Just looking at the diagram, we can tell that AC is not the same length as DE, so they are NOT congruent (though again, they are proportional). D is incorrect.

A, B

answered: Guest

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 !

answered: Guest

step-by-step explanation:

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Triangle abc is similar to triangle cde. both are right triangles.
which statements about the...