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:
$ 37.642
Step-by-step explanation:
Total Bill : $ 32.45
Tip : 16% of the bill.
= 16% x 32.45
=32.45 x (16/100)
= $ 5.192
hence ,
Total bill = Tip + bill charged
= 5.192 + 32.45
= $ 37.642
Answer:
1. 1 cup of concentrate would use 7.5 cups of water.
2. 10 cups of concentrate would use 75 cups of water.
Step-by-step explanation:
Because 1/3 cup of concentrate is mixed with 2 1/2 cups of water, to find how much water one cup of concentrate would use, you would have to multiply both 1/3 and 2 1/2 (2.5) by 3. Then, you get 1 cup of concentrate equals 7 1/2 (7.5).
To find the answer to the next question, simply multiply by 10.
Answer:
Hello! answer: e = 108 d = 32 f = 40 because
108 + 108 + 32 + 32 + 40 + 40 = 360 Hope this helps!
Step-by-step explanation:
side ratio = big/small = 28/4 = 7
perimeter ratio = side ratio = 7
-> perimeter ratio = big / small = big/34 = 7
-> big perimeter= 7*34 = 238
