Teenagers signed up to be subjects in a psychology experiment. When they arrive
1 answer:
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First notice that the triangle with sides 
and the triangle with sides 
are similar. This is true because the angle between sides 
in the smaller triangle is clearly 
, while the angle between sides 
in the larger triangle is clearly 
. So the triangles are similar with sides corresponding to 
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is 
, then the length of the longer leg is 
and the hypotenuse has length 
.
Since
is the shortest leg in the larger triangle, it follows that 
, so 
Now both triangles are
Since
Answer:
and
Step-by-step explanation:
It was given that the points and
are on the graph of the function
.
If is the inverse function of
, then
will take the y-values as inputs and give the x-values as outputs.
Hence we will have the ordered pairs and
on g.
In other words, f and g are symmetric about the line . This implies that when we reflect the points
and
in the line
we will obtain
and
.
This point must lie on g.