The triangle proportionality theorem is
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
So to prove QT parallel to RS, we have to show

Substituting the values, we will get

Which are not equal, therefore the lines are not parallel .
Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
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I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
Answer:
B
Step-by-step explanation:
the change in y and x are the same between the three points.
Answer:
the segment is using Pythagoras theorythe answer is 9.7 approximately 10 not sure loll