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°
So to solve for an inequality, you must isolate the variable, in this case x, to one side.
Starting with 3.5x - 10 > -3, firstly add both sides by 10:
3.5x > 7
Next, divide both sides by 3.5 and your first half is:
x > 2
Next with 8x - 9 < 39, firstly add both sides by 9:
8x < 48
Next, divide both sides by 8 and your second half is:
x < 6
<u>Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.</u>
Answer:
Step-by-step explanation:
volume =triangular area× length
=1/2×6×3×14
=126 ft³
Answer: 43%
Step-by-step explanation: