The value of the variable <em>x</em> can be determined using the circle theorem to
determine the angle formed by <em>x</em>.
The correct responses are;
Reasons:
(1) From circle theorem, we have;
- Equal chords subtends equal arcs and vice versa
- Equal chords subtend equal angles at the center of a circle
Therefore;
Angle subtended by 
at center = Angle subtended by 
at the center;
- Angle at the center = 2 × Angle at the circumference
Therefore;
Angle subtended by at the circumference = Angle subtended by 
at the circumference
Which gives;
(2) 
given
Angle subtended by arc 
at the center = x
Equal arcs subtend equal angles at the center of a circle.
Therefore;
Angle subtended by arc 
at the center = x
Angle at center = 2 × angle at circumference
Therefore;
x = 2 × 50° = 100°
x = <u>100°</u>
(3) 
given
By definition, we have;
Angle subtended by 
at the center = 3 × Angle subtended by 
at the center
According to circle theorem, we have;
Angle at the center = 2 × Angle at the circumference
Let <em>y</em> represent the angle subtended at the circumference by , we have;
y = 20°
= 2·y
= 3 × = 3 × 2·y = 6·y
Therefore;
= 6 × 20° = 120°
= 120°
= 2·x
Therefore;
2·x = 120°
x = <u>60°</u>
Learn more circle theorems here:
brainly.com/question/16879446
Answer: The answer is 
Step-by-step explanation: The given functions are
We are to find f(g(x)). To do this, first we need to evaluate g(x) and then we will apply the function f on the resulting function.
The evaluation is as follows:
Thus, the correct answer is
If you think of the "for every" as a : then it will make sense. So, replace the "for every" with a :.
So:
There are 5 strawberries for every 6 apples
Turns into
strawberries:apples = 5:6
Answer:
Brainliest!!
Step-by-step explanation:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.
-Wikipedia
See picture
Answer:
Solving the system of equations:
x: 1
y: 2
Step-by-step explanation:
Plug it in to see if it is right, to make sure of course. Better to be safe than sorry.
