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:
ok. this my homework soon as i get the Q u can get it
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
4x(3-2)+18
4x(1)+18
4+18
22
4x+18
First let's distribute to our parenthesis to get:
4x-16<-2x+18+2
Not combine like terms on both sides:
4x-16<-2x+20
Let's add 2x to both sides:
6x-16<20
Add 16 to both sides:
6x<36
Divide by 6:
X<6
I hope this Helps!
Answer: maybe 20
Step-by-step explanation:
or find it out yourself
