Ok, so she has 14 tickets and each ride cost 2 so that can be modeled with the following expression: x= 14-2y since she initially bought 14 tickets and 2 times the number of tickets she spends. To find the equivalent expression you could basically switch up the formula like so: 7*2-2y=x because you just need an equivalent expression, and you don't need to have such a different formula or anything like that. Hope I helped!
Answer:
Step-by-step explanation:
6 more than a number is 36: x+6=36
36 more than a number is 6: x+36=6
6 times a number is 36: 6x=36
Answer:
14
Step-by-step explanation:
To find x, you will need to use sine. If you want to find y, use cosine:
sin 45 = x / 14 sqrt(2)
x = 14
(Since this is a 45 45 90 special triangle, x and y have the same length)
Since I talk about special triangles, 45 45 90 triangles are very simple:
To find the other two side lengths, just divide the hypotenuse by sqrt 2
14 sqrt(2) / sqrt(2) = 14
So both ways will still lead to 14
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.
It Would be A 1km because its 1000 meters
