There is 180 degrees in a triangle so it is 80 degrees
C.21
5^2-4=21
Explanation
That’s a tricky stem and leaf plot, Anw as the key shows 11|6 =16
So the most common arm span is 12 the least commons are 11,17,19,22 which appear only one time. So I’d say there are no outliers
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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=11
Step-by-step explanation:
Since this is a 90º angle, 46º+(4x)º has to equal 90º, and you can make and solve an equation for this:
46+4x=90
4x=44
x=11
Check:
46+4x=90
46+4(11)=90
46+44=90
90=90
