For this case what we must do is use the law of cosines.
We have then:
12 ^ 2 = 6 ^ 2 + 10 ^ 2 - 2 * (6) * (10) cos (x)
Clearing we have:
cos (x) = (12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10))
x = acos ((12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10)))
x = 93.82 degrees
Answer:
The tree is growing in relation to the hill at:
x = 93.82 degrees
y and x are the coordinate on the graph.
m is the slope.
b is the y-intercept.
Answer:
Step-by-step explanation:
Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
This means that we need:
- An angle of one triangle that is congruent to an angle of the other triangle.
- Another angle of one triangle that is congruent to another angle of the other triangle.
For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.
The median is 3
The range is 4
