Check the picture below.
now, an angle bisector I assume, since it intersects the opposite segment at D and then at E. An angle bisector cuts an angle in two equal halves, so if ∡CAB is 82°, that just means that ∡CAE is one of those halves, or 41°.
Well I don't know !
Let's figure it out together.
Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .
Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.
Ways to make 9 :
3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4
Four ways to make 9.
____________________________
Ways to make an even number:
1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6
Eleven ways to make an even number.
_____________________
Total number of ways to succeed = (4 + 11) = 15 ways
So the probability of succeeding (rolling 9 or an even number)
is
15 / 36 = 5 / 12 = 0.41666... = (41 and 2/3) % .
12/12 possibility for getting a number on a dice
With 2 dice, there would be 24 possible outcomes (double 12)
??? Do you mean 17 divided by 2 cuz that's 8.5
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.
