Answer:
Step-by-step explanation:
The sum of the interior angles of this triangle must be 180 degrees.
Thus, angle x is 180 degrees less (39 degrees plus 125 degrees), or
x = 180 degrees - 164 degrees = 16 degrees.
Because of the 125 degree angle, this is an obtuse triangle.
Answer:
x=7
Step-by-step explanation:
3(2x - 5) = 9(10 - x)
6x-15=90-9x
6x+9x=90+15
15x=105
x=7
Answer:
The flagpole's shadow is 16.875 feet longer than the man's shadow
Step-by-step explanation:
The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;
Height of the shadow=actual height of the flagpole×factor
where;
length of the flagpole's shadow=22.5 feet
actual height of the flagpole=32 feet
factor=f
replacing;
22.5=32×f
32 f=22.5
f=22.5/32
f=0.703125
Using this factor in the expression below;
Length of man's shadow=actual height of man×factor
where;
length of man's shadow=m
actual height of man=8 feet
factor=0.703125
replacing;
length of man's shadow=8×0.703125=5.625 feet
Determine how much longer the flagpole's shadow is as follows;
flagpoles shadow-man's shadow=22.5-5.625=16.875 feet
The flagpole's shadow is 16.875 feet longer than the man's shadow
When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called <u>Congruent.</u>
Answer:
The population alternates between increasing and decreasing
Step-by-step explanation:
<u><em>The options of the question are</em></u>
A) The population density decreases each year.
B) The population density increases each year.
C) The population density remains constant.
D) The population alternates between increasing and decreasing
we have
Find the value of 
For n=2
Find the value of 
For n=3
For n=4
For n=5
therefore
The population alternates between increasing and decreasing
