The median is the value equivalent to the vertical line as shown. Hence the median point is 34
<h3>What is a median?</h3>
The median is defined as the value at the middle after rearrangement.
From the given boxplot, we have the following
The minimum value is equivalent to the lower position of the whisker = 22
The maximum value is equivalent to the upper position of the whisker = 42
The median is the value vertical line in between the box = 34
The lower quartile (Q1) = starting point of the box = 33
Upper quartile (Q3) = end point of the box = 38
For the boxplot, the median is the value equivalent to the vertical line as shown. Hence the median point is 34
Learn more on boxplot here: brainly.com/question/12992903?referrer=searchResults
Using supplementary angles, it is found that the measures of the angles are given as follows:
<h3>What are supplementary angles?</h3>
Supplementary angles are two angles whose sum is of 180º.
An interior angle is supplementary with it's exterior angle, hence:
m<a + 150º = 180º -> m<a = 30º.
The sum of the three interior angles of a triangle is of 180º, hence:
30º + m<b + 60º = 180º
90º + m<b = 180º
m<b = 90º.
More can be learned about supplementary angles at brainly.com/question/12919120
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Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
The shape at the top is a trapezoid with width 2 cm and lengths 4 and 8 cm.
Its area is
4+8
-------- 2 cm = 12 cm^2
2
The lower part consists of two congruent triangles. The area of a triangle is
A = (1/2)(b)(h). Here, A = (1/2) (4)(5.75) = 11.5, so the area of both triangles is 23 cm^2.
Thus, the total area is (12+23) cm^2, or 35 cm^2.
