Answer:
See below
Step-by-step explanation:
x = 3 cos (-5pi/3) = 1.5
y = 3 sin (-5pi/3) = 2.598
51(x - 21) = x + 58
<em><u>Distributive property</u></em>
51x - 1071 = x + 58
<em><u>Subtract x from both sides</u></em>
50x - 1071 = 58
<em><u>Add 1071 to both sides</u></em>
50x = 1129
<em><u>Divide both sides by 50</u></em>
x = 22.58
<u>Answer</u>
59°
<u>Explanation</u>
There are 2 parallel line and one transverse.
Angles in a straight line add up to 180°
∴ 180 - (2a + 3) = 180 - 2a -3
= 177 - 2a
The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.
∴ 177 - 2a = a
177 = a + 2a
3a = 177
a = 177/3
= 59°
Answer:
Step-by-step explanation:
is in the third quadrant
To find the reference angle subtract π from it, that is
reference angle = - π =
The gradient of the perpendicular line would be the negative reciprocal of the original line. Therefore the gradient of the perpendicular line would be -2/5x.
Since we know y=mx+c, ∴y=-2/5x+c. Sub in the x and y values of the given point and we get that c=26/5.
The perpendicular equation would be y=-2/5x+26/5.
I hope I got this right.
