Answer:
There are 20 European Butterflies.
Step-by-step explanation:
To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:
Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).
Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.
The solution of -32x+2=3x-10 is (2,-1)
Since the slopes are equal they are parallel. I hope this helps.
Answer:
Part a) 
Part b) 
The diagram in the attached figure
Step-by-step explanation:
step 1
Find the measure of angle C
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values




step 2
Find the distance AC
Applying the law of sines

see the attached figure to better understand the problem
substitute the given values


---> rounded to the nearest hundredth
step 3
Find the distance BC
Applying the law of sines

substitute the given values


---> rounded to the nearest hundredth
Answer:
its 10
Step-by-step explanation: