The 5 number summary are
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
<h3>How to identify the 5 number summary?</h3>
The complete question is in the attached image
The 5 number summary of box plot are:
- Minimum
- Lower quartile
- Median
- Upper quartile
- Maximum
Each of these summaries are represented by the vertical lines of the box plot
From the attached box plot, we have:
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
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Answer:240
Step-by-step explanation: Formula equaled to 240,
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
<h3>What is the Angles Intersecting Secants Theorem?</h3>
When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
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Octagon:
= [(8-2)×180]÷8
= 135
Angle of LMN is:
= 360-135-60
= 165
Angle of EMN is:
= 180÷3
= 60
The number of side is :
[(n-2)×180]÷n = 165
(180n-360)÷n = 165
180n-360 = 165n
180n-165n = 360
15n = 360
n = 360÷15
n = 24
So, the number of side of the regular polygon R is 24.