Answer:
When we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
Step-by-step explanation:
We know that 180 Degree Rotation.
We know that when we rotate a point, let say P(x, y), 180 degrees counterclockwise about the origin, the coordinates of point P(x, y) transformed to P'(-x, -y).
In other words, the sign of both x and y coordinates are reversed.
Thus, the rule is:
P(x, y) → P'(-x, -y)
Given the point (1, 4)
P(x, y) → P'(-x, -y)
A(1, 4) → A'(-1, -4)
Thus, when we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
2d = 5c
2/5 = c/d ...true
5/2 = d/c...true
2/c = 5/d...true
2/d = 5/c....not true
To find volume, we will use the following equation: V=4/3piR^3
The correct answer should be 1436.76
0.45 in a fraction is 45/100
Simplify - 9/20
0.125=125/1000
Simplify - 1/8
6.04= 6 4/100
Simplify - 6 1/25
Answer:
x = 9
Step-by-step explanation:
This problem involves knowing the sum of angles in a triangle as well as the sum of supplementary angles. In any triangle, the sum of all the angles will always add up to 180°. Supplementary angles add up to 180° and form a straight line. In order to solve for 'x', we must set up an equation where the sum of the angles is equal to 180°. Since the last angle of the triangle is not given, but we know that the value will be equal to 180 - (14x + 1), we can simplify this to 180 - 14x -1 or 179 - 14x. We also know that this angle plus the other two angles of the triangle will add up to 180:
89 + 179 - 14x + 5x - 7 = 180
Combine like terms: 261 - 9x = 180
Inverse operations: 261 - 261 - 9x = 180 - 261 or -9x = -81
Solve for x: x = 9
