Solve the equation Y +3 = -y + 9
2 answers:
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I have attached the image showing the location of the three schools.
Answer:
Should be built at the centroid of the triangle formed by points A, B and C.
Step-by-step explanation:
From the attached image, we see that if we join the 3 points by a straight line, they will form a triangle.
Now, to get a location that will be roughly the same distance from all 3 schools, it means a point that is equal to each of 3 vertex of the triangle.
The point that is equal to each vertex of a triangle is known as "Centroid".
Now, to find this centroid, we will add up the (x, y) coordinates of the 3 vertex and divide by 3.
For example;let's assume ;A has a coordinate of (x1, y1) ; B has a coordinate of (x2, y2) ; C has a coordinate of (x3, y3).
The coordinates of the centroid will be;
[(x1 + x2 + x3)/3], [(y1 + y2 + y3)/3]
Answer:
KL = = 17.93
MK = = 25.36
Explanation:
According to the Law of Sines:
where:
A, B, and C are angles
a, b, and c are the sides opposite to the angles
First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore
m∠K + m∠L + m∠M = 180°
m∠L = 180° - m∠K - m∠M
m∠L = 180° - 105° - 30°
m∠L = 45°
Now, we can apply the Law of Sines to our case (see picture attached):
Let's solve one side at the time:
MK = = 25.36
Similarily:
KL = = 17.93
