Dweath50
27.12.2020 •
Mathematics
A pair of angles is supplementary if the sum of their measures is 180 degrees. A pair of angels is complementary if the sum of their measures 90 degrees. the supplement of a given angel is 10 degrees more than twice its complement. Let 90-x equal the degree measure of its complement and 180-x equal the degree measure of its supplement. Write and solve an equation to find the measure of the given angel.
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Ответ:
The measure of the complement =
= 80°
The measure of the supplement=
= 170°
Step-by-step explanation:
Let
90-x equal the degree measure of its complement
180-x equal the degree measure of its supplement.
We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.
Hence, the Equation is;
(180 - x) = 10° + 2(90 - x)
180 - x = 10 + 180 - 2x
Collect like terms
-x + 2x = 10 + 180 - 180
x = 10°
Hence,
The measure of the complement =
90 - x
= 90 - 10
= 80°
The measure of the supplement=
180 - x
= 180 - 10
= 170°
Ответ:
The median would be: $30000 as it is the 32 and 33th place.
The mean would be:30000×62+125000×3÷(62+3)
=2235000÷65
≈$34384.615
We can then find that the mean would be a better data to summerise the data overall,as the median would only be able to show the salary of the 62 people,having being placed in 32 and 33th.
Hope it helps!