Answer:
Step-by-step explanation:
The given expression is
This is the same as;
Recall that;
This implies that;
We now use the following law of exponents
This gives us;
The interquartile range is the difference between the upper quartile and the lower quartile.
• The upper quartile is the line that is on number 22 on the number line
• The lower quartile is the line that is on number 16 on the number line
22-16 = 6 and that’s your IQR!
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
