AA Theorem: To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle. All three triangles have a right angle and they all share the common angle at point S.
Flagpole is 32 meters from point S: so 1.5/8 = x/32 where x is FG
cross-multiply: 32 • 1.5 = 8x
48 = 8x
x = 6 meters
building is a total of 240 meters from point S, so: 1.5/8 = x / 240 where x is BD
cross-multiply: 240 • 1.5 = 8x
360 = 8x
<span>x = 45 meters</span>
The values of x and y are 15 and 7 respectively
The angles formed from the intersection of two lines at X are equal and vertically opposite angles.
From the figure shown, we can conclude that:
2(5x-5) = 6x + 50 (vertically opposite angle)
Expand
10x - 10 = 6x + 50
10x - 6x = 50 + 10
4x = 60
x = 60/4
x =15
Similarly;
5y + 5 = 7y - 9
Collect the like terms;
5y - 7y = -9 - 5
-2y = -14
y = 14/2
y = 7
Hence the values of x and y are 15 and 7 respectively
Learn more here: brainly.com/question/15198257
N is the variable, you solve by subtracting 6 from 20, getting n = 14.