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.
Answer:a,cd,and h
Step-by-step explanation:
Answer:
First, we need to find the slope of this line.
Slope is defined as rise over run, or change in y over change in x. We find two points on this line, and see that the slope is -4.
Then, we find the y-intercept, which in this case is 0.
Using slope intercept form, our answer is y=-4x
Let me know if this helps!
6 divided by 2 3
--- = -----
10 divided by 2 5
therefore your answer is option A
hope this helps :)
Answer:
SAS theorem
Step-by-step explanation:
If 
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.
So, and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
