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C, a point of the x-axis, A (-5; -3) and B (4; 12) are the vertices of a triangle.
AB intersect the x-axis at E.
ABC = θ and BEC = α .
4.1 Calculate the gradient of AB.
4.2 Determine the coordinates of point E.
4.3 Determine the size of α. Round off to the nearest whole number.
4.4 If θ = 76°, determine the equation of the line through A parallel to BC
(2)
(3)
(2)
(5)
[12]