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.
First, you need to get rid of the parenthesis, so you need to distribute:
12(–1.4m + 0.4) = m + 0.2
-16.8m + 4.8 = m +0.2
Then subtract both sides by m:
-16.8m - m + 4.8 = m +0.2 - m
-17.8m + 4.8 = 0.2
Subtract both sides by 4.8:
-17.8m + 4.8 - 4.8 = 0.2 - 4.8
-17.8m = -4.6
Now, divide both sides by -17.8:
-17.8m/-17.8 = -4.6/-17.8
m ≈ 0.258
Answer:
B
Step-by-step explanation:
The inscribed angle's arc measures 36°, and central angle's arc measures 72°.
Part a is 2x+5 because you add monday’s equation and tuesday’s
part b is 7x+2 because you add all equations together
Answer:
k = 5.4
Step-by-step explanation:
I cross-multiplied then divided 12.96 by 2.4.
Can I get brainliest
