Mathematics, 06.11.2019 05:31 tonyiacamper1

The measure of each of the base angles of an isosceles triangle is 9° less than 4 times the measure of the vertex angle. plz explain how to find also

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Isocoleese means that 2 sides are the same legnth
that also means that 2 angles are the same legnth
so represent the angles as x,y,z
the vertex is the different angle
lets says that x=y because they are the 2 same angle and z=vertex
so just do
the angles measure x,x,z because x=y
so
base angle=x=y
remember that all 3 inside angles added together equals 180 so
x+y+z=180 or x+x+z=180
so we have

measure of each of the base angles of the isosolese triangle is 9 les than 4 times the vertex
that means that x is 9 less than 4 times z or x=-9+4z or x=4z-9
so we have the other equation
x+x+z=180
subsitute 4z-9 for x
4z-9+4z-9+z=180
group like terms
4z+4z+z-9-9=180
add like terms
9z-18=180
add 18 to both sides
9z=198
divide both sides by 9
z=22
subsitute
x=4z-9
x=4(22)-9
x=88-9
x=79

x=y=79

the angles are
base angles=79 degrees
vertex=22 degrees

x=79
y=79
z=22

Answer from: Quest

step-by-step explanation:

Answer from: Quest

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 !

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The measure of each of the base angles of an isosceles triangle is 9° less than 4 times the measure...