Graph the system by using technology. Which is the x-coordinate of the solution?
1 answer:
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Answer:
The number of texts she can have is less than 600.
Step-by-step explanation:
Total monthly charge
30 + 0.05 for each text.
So, for x tests, the charge is:
Write an inequality to represent the # of texts she can have?
It has to be under 60, so:
The solution is:
The number of texts she can have is less than 600.
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