Solving the inequality:
we get 
Step-by-step explanation:
We need to solve the inequality: 
Solving the inequality:
Switch the sides and reverse the inequality:

Subtract 11 from both sides


Divide both sides by 4


So, solving the inequality:
we get 
Keywords: Solving inequalities
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Answer:

Step-by-step explanation:
we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal and the corresponding angles are also equal
In this problem

we have

Find the value of TS

substitute




see the attached figure to better understand the problem
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])
For example:
Slope = 
Perpendicular line's slope =
or -3
Slope = -2 or 
Perpendicular line's slope = 
The given line's slope is
, so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation
9 = -3(1) + b Add 3 on both sides to get "b" by itself
9 + 3 = -3 + 3 + b
12 = b
y = -3x + 12