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:
i would say about 20 or 30 pizzas
Step-by-step explanation:
Answer:
B.25%; 70%; 5%
Step-by-step explanation:
Other options have % very close to eachother, pie chart may not reflect the difference
The answer would be 10/12
For this case we must resolve the following inequality:
Subtracting 7 from both sides of the inequality we have:
Dividing by 3 to both sides of the inequality we have:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
Thus, it is observed that to solve the inequality it is necessary to change the meaning of it.
ANswer:
False. It is necessary to change the sense of inequality
