B is the correct answer. The absolute value of something will always be positive. ALWAYS.
Answer:
They are both the exact same
Step-by-step explanation:
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:
![\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28a%29%7D%7BA%7D%3D%5Cfrac%7Bsin%28b%29%7D%7BB%7D%3D%5Cfrac%7Bsin%28c%29%7D%7BC%7D)
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.
![\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28a%29%7D%7BA%7D%3D%5Cfrac%7Bsin%28b%29%7D%7BB%7D%3D%5Cfrac%7Bsin%28c%29%7D%7BC%7D)
![\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28x%29%7D%7B10%7D%3D%5Cfrac%7Bsin%28116%29%7D%7B17%7D%3D%5Cfrac%7Bsin%28x%29%7D%7B10%7D)
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
![\frac{sin(x)}{10}=\frac{sin(116)}{17}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28x%29%7D%7B10%7D%3D%5Cfrac%7Bsin%28116%29%7D%7B17%7D)
Now take the cross product in this equation to simplify it further,
![\frac{sin(x)}{10}=\frac{sin(116)}{17}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28x%29%7D%7B10%7D%3D%5Cfrac%7Bsin%28116%29%7D%7B17%7D)
![17(sin(x))=10(sin(116))](https://tex.z-dn.net/?f=17%28sin%28x%29%29%3D10%28sin%28116%29%29)
Inverse operations, solve this equation for (x),
![17(sin(x))=10(sin(116))](https://tex.z-dn.net/?f=17%28sin%28x%29%29%3D10%28sin%28116%29%29)
![sin(x)=\frac{10(sin(116))}{17}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7B10%28sin%28116%29%29%7D%7B17%7D)
![x=sin^-^1(\frac{10(sin(116))}{17})](https://tex.z-dn.net/?f=x%3Dsin%5E-%5E1%28%5Cfrac%7B10%28sin%28116%29%29%7D%7B17%7D%29)
![x=31.91782...](https://tex.z-dn.net/?f=x%3D31.91782...)
![x\approx32](https://tex.z-dn.net/?f=x%5Capprox32)
Answer:
C : -6
Step-by-step explanation:
Please Mark Me Brainliest!
Answer:
28 square centimeters
Step-by-step explanation:
The area of a trapezoid (formula):
(a + b) ÷ 2 x h
Where a & b are the bases, and h is height.
Use formula with given measurements:
(9 + 5) ÷ 2 x 4 = 28
Area is measured in square centimeters
(centimeters in this case)
Therefore the area if the trapezoid is 28 cm^2
I really hope this helps!