<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
Answer:
w>-1
Step-by-step explanation:
53w + 13 < 56w + 16
-3 < 3w
-1 < w
Answer:
8km / 9 hours
Step-by-step explanation:
see the point is on
x axis = 9 = 9 hours
y axis = 8 = 8 kilometers
so the average speed of bus is 8 km in 9 hours
Answer:
Distance between the school and the theater = 
units
Step-by-step explanation:
Use distance formula to calculate the distance from the school (8, 7) and the theater (2, 3):
Let,
Plug in the values into the distance formula
Simplify
Answer:15/27(third option is the correct answer)
