The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2 units up to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.Tiles
(2, 1)A′(2, -1)
(1, 1)B′<span>(-3, 4)</span>
(3, 0)C′(2, -1)
(2, 3)D′(-2, 5)
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
Paraphrase the following steps:
•Draw a line connecting the point to the center of the circle
•Construct the perpendicular bisector of that line
•Place the compass on the midpoint, adjust its length to reach the end point, and draw an arc across the circle
•Where the arc crosses the circle will be the tangent points.
Answer:
A- 0.125
B- Success of climbing mount Everest is independent of age.
Step-by-step explanation:
A.
Let x denote success in climbing Mount Everest
Let y denote the climber is at least 60 years old.
Therefore,
P(x) = 0.31
P(y) = 0.04
P( x ∩ y) = 0.005
Probability of success when the climber is at least 60 years old =
P( x ∩ y) ÷ P(y) = 0.005 ÷ 0.04 = 0.125.
B.
The success rate is independent of age as there are both success and failure rates across board on the scale of ages of climbers.
