The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larg
1 answer:
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Answer:
Histogram B best represents the data.
Step-by-step explanation:
student: Hours:
a 0.6
b 0.5
c 2.5
d 2.5
e 1.5
f 2.5
g 0.5
h 1.5
I 1.5
j 2.5
k 2.5
l 2.5
m 1.5
n 1.5
o 1.5
Since clearly from the table we could see that none of the student spend more than 3 hours in listening music each day.
Hence, the graph in option A and option D are incorrect.
Now we arrange our data in the interval of 1 unit to get:
Interval Number of students
0-1 3
1-2 6
2-3 6
Hence, the histogram that represents this data is:
Histogram B
Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
or, [ by cross multiplication]
or,
or,
Hence,
The value of x is 144.