Answer:
13-gon
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is:
S = 180° (n − 2)
If S = 1980°, then:
1980° = 180° (n − 2)
11 = n − 2
n = 13
The answer to this question is 1, because the to lines intersect at point (3, 1).
I hope this helped!
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
<u>ANSWER</u>
The line that is parallel to
through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line
has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope
.
Let
be the equation of the line parallel to the line

We can substitute
to obtain;

If the line passes through the point
,then this point must satisfy its equation.
We substitute
and
to obtain;

We this equation for
.



We substitute this value of
in to
to get;
.
Hence the equation of the line that is parallel to
through
is
.