If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.
<h3 /><h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is quadrilateral inscribed in a circle. It has all its vertices on the circumference of the circle.
Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.
Therefore, if he adjust point G to a different spot on the circle, angle FGH and FEH will adjust to become supplementary.
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Answer:

Step-by-step explanation:
we know that
In the diagram


Equate


Answer:
9.89 m
Step-by-step explanation:
AC is the hypotenuse (H)
x is the opposite (O)
O and H are in sine
sin=O/H
H=O/sin
H=7.9/sin(53)
=9.89187169943418
3 SF
9.89 m
We can use the distribution method for both sides:
9 (x+2) = 5 - 2( x - 1 )
9x + 18 = 5 -2x + 2
Move like terms to one side and combine:
9x + 2x = 5+2-18.
11x = -11
x = -1.
Answer:
1 pi: 3pi
Step-by-step explanation:
Step 1: Formula of surface area and volume of sphere
Surface area of sphere = 4 x pi x r^2
Volume of sphere = <u>4</u> x pi x r^3
3
Step 2: Apply values in the formula
r = radius
radius = diameter/2
r=18/2 = 9
S.A = 4 x pi x 9^2
S.A = 324pi
Volume = <u>4</u> x pi x 9^3
3
Volume = 972pi
Step 3 : Show in ratio
Surface area : Volume
324pi : 972pi
= 1 pi: 3pi