Answer:
12). LM = 37.1 units
13). c = 4.6 mi
Step-by-step explanation:
12). LM² = 23² + 20² - 2(23)(20)cos(119)°
LM² = 529 + 400 - 920cos(119)°
LM² = 929 - 920cos(119)°
LM = 
= 
= 37.08
≈ 37.1 units
13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°
c² = 29.16 + 12.96 - 38.88cos(58)°
c² = 42.12 - 38.88cos(58)°
c = 
c = 
c = 4.6386
c ≈ 4.6 mi
We'll use rise over run to find the slopes of two of the sides of the triangle:
Because C is the rightmost point, we'll have it represent (x1,y1), and have A and B represent (x2,y2):
A to C
(-2,3) to (2,-1)
The slope of the line from A to C is -1.
B to C
(-3,-6) to (2,-1)
The slope of the line from B to C is 1.
These lines intersect at (2,-1), and they have negative reciprocal slopes of each other, which creates a perpendicular angle. This means that triangle ABC is a right triangle, and angle ACB is the right angle.
I think the answer is 80 degrees
The last line of a proof represents <span>the conclusion. The correct option among all the options that are given in the question is the third option or the penultimate option. The other choices can be easily neglected. I hope that this is the answer that has actually come to your desired help.</span>
Answer:
You would graph it like this.
Step-by-step explanation:
Here's a tip! Use demos! It's free and you can graph equations and points and it tell you how to graph it.
