Answer y=-4
Because it's like you do if backwards
Answer:
Anticlockwise 60°
Step-by-step explanation:
Let my starting point be 0°
Turning to the right(clockwise)40° = 0° + 40° = 40°
I am now at 40° to the right of my starting point.
Turning to the left(anticlockwise) 70° = 40° - 70° = -30°
I am now 30° to the left of my starting point.
Turning to the right 90° = -30° + 90° = 60°
I am 60° to the right of my starting point.
To go back to the startoing point(0°), I should go to the left(anticlockwise) by 60°
This is a change of -60°
-Chetan K
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<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.
