An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:
tan (60) = 15 / base/2
base = 10√3 = side length
The answer is d because a horizontal line has a slope of zero.
Answer:
Step-by-step explanation:
1. y - 2 = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 14
2. y - 6 = -1/2(x + 5)
y - 6 = -1/2x - 5/2
y - 12/2= -1/2x - 5/2
y = -1/2x + 7/2
Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88
6x - 44 = 88
+44 +44
6x = 132
÷6 ÷6
x = 22
same with the second problem (exterior angles are equal):
equation:
15x + 6 = 9x + 54
-6 -6
15x = 9x + 48
-9x -9x
6x = 48
÷6 ÷6
x = 8
Hope this helped! :D