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 is 31.5% vegetarian. Here is the my work. Hope this helps!
Answer:
1.5
Step-by-step explanation:
The mean is the Middle number.
1 standard deviation in both sides of 7.5 makes it between 6 and 9.
<u>What is the </u><u>"common difference"</u><u> in 6 to 7.5 and from 7.5 to 9?</u>

and

So, we would say the standard deviation is 1.5
Answer choice A is right.
I believe the answer is D. I’m terribly sorry if I got it wrong
In this problem, you're looking for the value of t, so that f(t) = 48. That means if you put t into 5t-7, you'll get 48. To do this set up and solve an equation for t by setting 48 equal to 5t-7:

Isolate the variable by adding 7 to both sides.

Divide by 5 on both sides to find t.

The answer is 11.