Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Answer:
7/17
Step-by-step explanation:
hope this helps
4x - 2y = 5
4x - 4x - 2y = -4x + 5
-2y = -4x + 5
-2 -2
y = 2x - 2¹/₂
y - y₁ = m(x - x₁)
y - 4 = 2(x - 3)
y - 4 = 2(x) - 2(3)
y - 4 = 2x - 6
+ 4 + 4
y = 2x - 2
Answer:
17.9°
Step-by-step explanation:
From trigonometry:
Opposite = 14
Adjacent = x
theta = 38°
hence;
tan theta = opposite/ adjacent
tan38° = 14/x
x = 14/tan38°
x = 17.9°