9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
Answer:
x=6
Step-by-step explanation:
Hope this helps if you so please mark me Brainliest I would greatly appreciate it. Peace and Love
Yes it is a geometric sequence and the common ratio is 2/3
We know that
<span>total surface area of the composite solid=surface area of the pyramid+surface area of the cube
surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in</span>²
surface area of the pyramid=4*54---> 216 in²
surface area of the cube=5*[12*12]----> 720 in²
total surface area of the composite solid=216 in²+720 in²---> 936 in²
the answer is the option
<span>936 square inches </span>