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:
C. Confuse
Step-by-step explanation:
Bewilder basically means confused. So, confuse would be a synonym of this word.
Hope it helps!
Answer:
The area of rectangle is 21 in^2
Step-by-step explanation:
we know that
The area of rectangle is equal to

where
L is the length
W is the width
In this problem we have


substitute

The draw in the attached figure
therefore
The area of rectangle is 21 in^2
To solve this problem, draw the situation for a better comprehension:
As we can see, the situation describes a right triangle and we can use pythagorean theorem to solve it.
To do this, use the corresponding units.
For inches:
![\begin{gathered} h=\sqrt[]{84^2-48^2} \\ h=\sqrt[]{7056-2304} \\ h=\sqrt[]{4752} \\ h=68.9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%3D%5Csqrt%5B%5D%7B84%5E2-48%5E2%7D%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B7056-2304%7D%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B4752%7D%20%5C%5C%20h%3D68.9%20%5Cend%7Bgathered%7D)
The suspect is 68.9 inches high.
Convert this height to feet:

The suspect is 5.74 feet high.
Answer:
$5.01
Step-by-step explanation:
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