Answer:
N(-4, 1)
Step-by-step explanation:
Counterclockwise means anti clockwise.
Now, when rotated by 90° about the origin, the point N will be in the second quadrant starting clockwise from the 0 - 90° quadrant
When it's rotated counterclockwise by another 90°, it will be at the first quadrant starting clockwise from the 0 - 90° quadrant
When it's rotated another 90°, it will be located in the 4th quadrant starting clockwise from the 0 - 90° quadrant.
Thus, after 270° N will be in the 4th quadrant starting clockwise from the 0 - 90° quadrant.
Therefore, the coordinates of N at that point will be;
On x - axis: -4 units
On y - axis: 1 unit
Thus coordinates are;
N(-4, 1)
The sum of all three interior angle will be 180°, so
(2x-5)°+(4x-1)°+30°=180°
2x-5°+4x-1°+30°=180°
6x-6°+30°=180°
5x+24°=180°
Subtract 24° for both side
5x=156°
Divided 5 for both side
x=31.2°. Hope it help!
Answer:
slope = 3
y-intercept = -4
y = 3x-4
Step-by-step explanation:
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
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