Answer:
(- 3.5, 0.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
(
,
)
Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then
midpoint = (
,
) = (
,
) = (- 3.5, 0.5 )
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Answer:
S'(5,-1), M'(1,-3)
Step-by-step explanation:
So, if the rotation is clockwise, the formula is (x,y)--->(-x,-y).
The original points are, (-1,3) and (-5,1).
Using the formula,
(-1,3) ----> (1,-3)
(-5,1) ----> (5,-1)
For the question in the image, the reflection over the x-axis is..
S'(-5,1) ---> (-5,-1)
M'(1,-3) ---> (-1,-3)
You distribute a 3/4 wherever you see a v
Use PEMDAS order of operations (parenthesis, exponents, multiply, divide, add, subtract)
12*3/4(32*9/16-8)
12*3/4(18-8)
12*3/4(10)
9*10
=90
Hope this helps
The pattern is divide by 4. First -80, then -20, then -5