Alaska,Hawaii,Washington have active volcanoes. Alaska has 43,Hawaii has 5,and Washington has v. If hey have 52 active volcanoes
1 answer:
You might be interested in
Answer:
The equation of the line is , that passes through points
Step-by-step explanation:
Given points are
We need to write the equation of the line that passes through these points
First, we will find slope of this line
So, our slope is . Now, we will plug the point
in the equation below.
So, the equation of the line is .
It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
#SPJ1
