The length is 10.
Since the two points share the same y-coordinate, the segment rt is horizontal.
This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.
So, we have
Answer:
c = b/cos 45
Step-by-step explanation:
SOHCAHTOA
- We use Cos
- Cos 45 = b/c
- c = b/cos 45
Answer:
m∠K = 37° and n = 31
Step-by-step explanation:
A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:
- a² = b² +c² -2bc·cos(A)
- k² = 31² +53² -2·31·53·cos(37°)
<h3>Comparison</h3>
Comparing the two equations, we note these correspondences:
Comparing these values to the given information, we see that ...
- KN = c = 53 . . . . . . . . . . matching values 53
- NM = a = k . . . . . . . . . . . matching values k
- KM = b = n = 31 . . . . . . . matching values 31
- ∠K = ∠A = 37° . . . . . . . matching side/angle names
Abby apparently knew that ∠K = 37° and n = 31.
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<em>Additional comment</em>
Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.
Vertex and angle K are opposite side k, also called side NM in this triangle.
Y + 2 = 1/5(x - 1)
y + 2 = 1/5x - 1/5
y = 1/5x - 1/5 - 2
y = 1/5x - 1/5 - 10/5
y = 1/5x - 11/5
slope = 1/5
y int = (0,-11/5)....for graphing purposes, -11/5 = - 2 1/5
x int = (11,0)
