Triangle ABC is similar to triangle LMN
m<A = m<L = 60
m<C = m<N
m<B = m<M
Lets x = m<M
so
m<C = m<N = 3x
and sum of interior angles of a triangle = 180
so
m<L + m<N + m<M = 180
60 + 3x + x + 180
4x + 60 = 180
4x = 120
x = 30
m<M = x = 30
answer
m<M = 30°
She spent 6 hours on the 1 1/2 hour walks
The range of a function is the set of numbers used as y-coordinates.
Let's look at the y-coordinates of the points in the graph.
There are points in the graph with all y-coordinates greater than -3.
There are points in the graph with all y-coordinates less then -3.
At exactly -3, there is no point on the graph with that y-coordinate.
We expect the graph to behave as it is shown above 7 and below -7, so the only value excluded from the y-coordinates is -3.
Answer: B. All real numbers except -3
