Given: <2 and <4 are vertical angles.
1 answer:
<h2>Explanation:</h2><h2 />
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I could help you in a general way. Vertical Angles are those angles on opposite sides of intersecting lines They takes this name because they have the same vertex, or corner, at the intersection.
Vertical angles are always congruent, so this implies that they always have the same measure. From the figure below, we know that ∠1 and ∠3 are vertical and ∠2 and ∠4 are also vertical, therefore:
∠2 ≅ ∠4
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The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line() = 0.25
Let be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16