Given lm = on and lo = mn prove lmno is a parallelogram

The given figure is a parallelogram.

Step-by-step explanation:

Consider the given figure LMNO.

It is given that LM=NO and LO=MN.

Now, consider the triangles LMN and LNO,

LM=ON (Given)

MN=OL (Given)

LN=LN (Common side)

Now, using SSS congruency rule, .

So, by CPCT, it can be written that:

(These angles are alternate angles and hence, the sides LM and NO are parallel)

(These angles are alternate angles and hence, the sides MN and LO are parallel)

From the above two conclusions, it can be said that the quadrilateral LMNO has pair of parallel sides and hence, it is a parallelogram.

For more details, refer the link:

link

The answers are in the screenshots below. :P

Step-by-step explanation:

Edge2020 ^_^

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

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 !