Taking K as the right angle =>
cos (L) = segment LK / hypotenuse
=> cos(L) = segment LK / √ [ (segment LK)^2 + (segment KJ)^2 ]
20 = 5(-3 + x) Multiply 5 into (-3 + x)
20 = -15 + 5x Add 15 on both sides
35 = 5x Divide by 5 on both sides to get x by itself
7 = x
20 = 5(-3 + x) Divide 5 on both sides
4 = -3 + x Add 3 on both sides to get x by itself
7 = x
1: yes solve the equation 3.14• the diameter
2:yes work backwards dividing pie from the circumference
Given:
The point is (-8,3).
To find:
The image of the given point after a rotation of 270 degrees counterclockwise about the origin.
Solution:
If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:

Using this rule, we get


Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).