Answer:
(1, -7)
Step-by-step explanation:
P(3,4)
3 up ---> y = 4 + 3 = 7
2 left ----> x = 3 - 2 = 1
new point (1, 7)
after 180 rotation around origin
point is (-1, -7)
now reflection over y-axis
(1, -7)
Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=

so the distance between point and center is radius
D=

D=

D=

D=√37 units
radius is √37 units
Smaller angle = 41°
Larger angle = 139°
Step-by-step explanation:
(7x - 1) + (2x + 1) = 180
7x + 2x - 1 + 1 = 180
9x = 180
x = 20
- The measure of the smaller angle is
2x + 1
= 2(20) + 1
= 40 + 1
<u>= 41°</u>
- The measure of the larger angle is
7x - 1
= 7(20) - 1
= 140 - 1
<u>= 139°</u>
220
from 218 the 1 is in the tens column. this is the figure that needs to be rounded.
using the following rule
If the digit after the 1 is ≥ 5 then round 1 up to 2
If the digit after the 1 is < 5 then the 1 remains as 1
here the digit after the 1 is 8 so the 1 in the ten's column becomes 2 and the 8 is replaced by 0
218 ≈ 220 ( to the nearest ten )
Answer:
Vertices- 5
Faces- 5