<u>Question 11</u>
1) 
, 
(given)
2) 
(reflexive property)
3) 
(ASA)
4) 
(CPCTC)
<u>Question 12</u>
1) Isosceles 
with 
, 
(given)
2) 
(angles opposite congruent sides in a triangle are congruent)
3) 
and 
are supplementary. 
and 
are supplementary (angles that form a linear pair are supplementary)
4) 
(supplements of congruent angles are congruent)
5) 
(SAS)
6) 
(CPCTC)
7) 
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>
Answer:
110
Step-by-step explanation:
There is a theorem that says "The measure of an angle formed by a secant and a tangent drawn from a point outside the circle is HALF the difference of the intercepted arcs "
Hence we can say:
We can say:
Also, we know that circle's degree measure is 360, thus we can say:
To find Arc AB, we can use the two equations and add, thus we get:
Thus, arc AB = 360 - 250 = 110
2nd answer choice is right.
I just worked it out and I got 6 3/28
Im sorry if that's wrong
Solution :
It is given that :
Casey boarded a Ferry wheel at position of 3 'o' clock.
The angular speed of the Ferry wheel = 5.6 radians per minute
The radius of the Ferry wheel = 50 feet
The height of the center wheel of the Ferry from the ground = 55 feet
Let the number of minutes be = t
a). The expression of the varying number of radians θ is given by :
After t minutes, θ = angle swept
θ = 5.6 t radians
b). Finding the height from the center of the wheel.
We know that : y = r sin θ
Given r = 50 feet
So, y = 50 sin (5.6 t) feet
Therefore, the height above the ground can be found by :
h = y + 55 (from ground)
h = 50 sin (5.6 t) + 55 feet
We can find the bat's wholesale cost by working backwards -
Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.
Therefore, the wholesale cost of the bat is $8.
Happy to help!
