Answer:
x = 7°
<GDH = 112°
<FDH = 192°
<FDE = 135°
Step-by-step explanation:
If DE bisects <GDH this means that <GDE = <EDH
Given <GDE = (8x+1)° and <EDH = (6x+15)° then;
8x+1 = 6x+15
8x-6x = 15-1
2x = 14
x = 7°
Since <GDH = <GDE + <EDH
<GDH = 8x-1+6x+15
<GDH = 14x+14
<GDH = 14(7)+14
<GDH = 98+14
<GDH = 112°
For <FDH,
Note that sum of angle on a straight line is 180°
<FDH = <FDG + <GDE + <EDH
<FDH = <FDG + <GDH
<FDG = 180-(43+8x+1)
<FDG = 180-44-8x = 136-8x
<FDH = 136-8x+112
<FDH = 248-8x
<FDH = 248-8(7)
<FDH = 248-56
<FDH = 192°
For <FDE;
<FDE = <FDG + <GDE
<FDE = 136-8x+8x-1
<FDE = 135°
Answer:
First number: 15
Second number: 21
Third number: 84
Step-by-step explanation:
The equation which represents the explicit formula for a constant velocity arithmetic sequence is; Choice A; xₙ = x₁+(n-1)(v•△t).
<h3>Which equation among the answer choices represents the explicit formula for a constant velocity arithmetic sequence?</h3>
It follows from convention that an arithmetic sequence is usually defined by an expression of the form;
T(n) = T(1) + (n-1)×d in which case, d = common difference.
Consequently, in the event that the velocity in discuss is constant, it follows that the required expression is; Choice A; xₙ = x₁+(n-1)(v•△t).
Therefore, xₙ = x₁+(n-1)(v•△t) represent the equation for explicit formula for a constant velocity arithmetic sequence.
Read more on arithmetic sequence;
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For this case we have that by definition, the equation of the line in a slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have the following equation:

Thus, the slope is 
By definition, if two lines are perpendicular then the product of the slopes is -1.

We find

Thus, the equation of the line is:

We substitute the given point to find "b":

Thus, the equation of a line perpendicular to the given line and passing through the given point is:

Answer:

4(2y-9) is your answer factored completely out