Answer:
1.Order the data from least to greatest.
2.Find the median.
3.Calculate the median of both the lower and upper half of the data.
4.The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
Answer:
A. x = 4
B. ∠C = 80°
Step-by-step explanation:
<h3>A.</h3>
The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...
140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°
31x +416° = 540° . . . . . . collect terms
31x = 124° . . . . . . . . . . subtract 416°
x = 4
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<h3>B.</h3>
The measure of angle C is found by substituting the value of x into the given expression for angle C.
(16x +16)° = (16(4) +16)° = 80°
Angle C is 80°.
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<em>Additional comment</em>
It can be useful to remember that the sum of <em>interior</em> angles of an n-gon is ...
(180°)(n -2)
This can be derived from the fact that the sum of <em>exterior</em> angles is always 360°.
These relations apply to <em>convex</em> <em>polygons</em>. YMMV when there are reflex angles or when sides cross each other.
Answer:
$80
Step-by-step explanation:
A P E X
In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.
In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.
Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.
Answer:
Conductive arguments have multiple independent premises that are convergent, that don't depend or rely on each other. Each premise counts separately in support or against the conclusion. If one or more premises were removed from the argument, the argument would still stand.
Step-by-step explanation: