Answer:
Step-by-step explanation:
Given a circle centre J
Let the radius of the circle =r
LK is tangent to circle J at point K
From the diagram attached
Theorem: The angle between a tangent and a radius is 90 degrees.
By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.
Using Pythagoras Theorem:
The length of the radius,
Answer:
Step-by-step explanation:
We will use the co-function identity for sine, where:
Since sin(21)=0.358=cos(x). This means that:
Solve for x. Add x to both sides:
Subtract 21 from both sides:
Hence:
Answer:
A. (-1 , 3)
Step-by-step explanation:
2x + y = 1
plus 3x - y = -6
------------------------------
5x = -5
x = -1
y = 1 - (2*-1) = 3
Answer:
m = 50
Step-by-step explanation:
∠ D and ∠ A are vertically opposite angles and are congruent , then
m - 130 = 20 - 2m ( add 2m to both sides )
3m - 130 = 20 ( add 130 to both sides )
3m = 150 ( divide both sides by 3 )
m = 50