Answer:
°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.


One can shorten the equation so it only holds the parts that will play a role in solving this equation,

Now take the cross product in this equation to simplify it further,


Inverse operations, solve this equation for (x),





Answer:
We'll use the Law of Sines:
Sine (C) / c = Sine (B) / b
Sine (86) / 40 = Sine (52) / b
0.99756 / 40 = 0.78801 / b
0.024939 = .78801 / b
b = .78801 / .024939
side b = 31.5974978949 feet
Sine (42) / a = Sine (86) / 40
(0.66913 / a) = 0.024939
a = .66913 / .024939
side a = 26.8306668271 feet
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I forgot to include the graphic.
Step-by-step explanation:
The general term is obtained by starting with the initial value 5 and then subtracting 4 each time you wish to generate a new term:
a2 = second term = 5+(2-1)(-4) = 5+(-4) = 1
General term:
an = nth term = 5+(n-1)(-4)
Thus, the 21st term is 5+(21-1)(-4) = 5 + (20)(-4) = -75 (answer)
Answer:
Yes! Integers can be negative! -3, -4, -9, -2... You name it!
Answer:
slope = -0.5
Step-by-step explanation: