The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)
Answer:
It's located in the third quadrant
(X,Y)
Step-by-step explanation:
Answer: 
Step-by-step explanation:
You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:
You know that:
Then KE is:
Now you can substitute the value of KE and the value of KH into and solve for JK. Then the result is:
5(
+ x) would be your answer. The 5 and the parenthesis imply multiplication, and inside the parenthesis is one-half and a number being added.)
Answer:
√85
Step-by-step explanation:
for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)
// use the pythagoream theorem to find the length
the distance of the leg on the x-axis is 6 (calculate 0-(-6))
the distance of the leg that is dropping down is -7 (calculate 0-(-7))
then we have 2 legs and need to find the hypotenuse.
Pythagorean theorem a^2 + b^2 = c^2
substitute :
6^2 + 7^2 = c^2
36+49 = 85
c= √85
