Answer:

Step-by-step explanation:
In order to find the measure of each angle, it is important to remember that the sum of the interior angles of a triangle is 180 degrees. Knowing this, you can write the following equation:
[Equation 1]
Based on the information given in the exercise, you know that:
[Equation 2]
[Equation 3]
Then, you can substitute the Equations 2 and 3 into the Equation 1 and then solve for "M" in order to find the measure of the angle "M" in degrees:

Substituting this value into the Equations 2 and 3, you can find the measure of the angle "N" in degrees and the mesure of the angle "O" in degrees. These are:

Therefore:

Answer:
Area: 226.98
Circumference: 53.41
Step-by-step explanation:
It takes 6 seconds for it to hit the ground.
0 = -5x²+20x+60
We can solve this by factoring. First factor out the GCF, -5:
0 = -5(x²-4x-12)
Now we want factors of -12 that sum to -4. -6(2) = -12 an -6+2 = -4:
0 = -5(x-6)(x+2)
Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2. Since we cannot have negative time, x=6.
Answer:
Ratio of goat to total number of animals at the zoo = 2 : 5
Step-by-step explanation:
Chickens = 2
Deer = 4
Donkeys = 3
Goats = 6
Total animals at the zoo = 15
what is the ratio of goats to the total number of animals at the zoo?
Ratio of goat to total number of animals at the zoo = 6 : 15
= 6/15
= 2/5
Ratio of goat to total number of animals at the zoo = 2 : 5