Answer:
Always
Step-by-step explanation:
Some people might mistaken it for sometimes, but the part that makes it always is when it says "regular" hexagons.
Similarity is defined by having congruent angles and proportional sides. Regular hexagons will always have internal angles of 60°, meaning that any two regular hexagons will always be similar.
Answer:
x=+6
Step-by-step explanation:
First, let's divide both sides of the equation by
3
:
⇒
3
x
2
3
=
108
3
⇒
x
2
=
36
Then, let's subtract
36
from both sides:
⇒
x
2
−
36
=
36
−
36
⇒
x
2
−
36
=
0
The left-hand side of the equation is now in the form of a difference of squares.
We can factorise it in the following way:
⇒
(
x
+
6
)
(
x
−
6
)
=
0
Using the null factor law:
∴
x
=
±
6
Therefore, the solutions to the equation are
x
=
−
6
and
x
=
6
.
An arc of length 30 m : l = 30 m.
r = 15 m, ∠ A = ?
Formula for the length of an arc is:
l = r π A / 180° ( where A is the central angle )
A = l · 180 / r π = ( 30 · 180 ) / ( 15 · 3.1415926 ) = 114.43 °
This is very close to your result.
Answer:5y=x-35
Step-by-step explanation:
The given line passes through the points
,
.
Let the slope of the line be
.
If a line passes through
and
,then

So,
Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.
Let the y intercept be 
From the graph,
The equation of the line with slope
and y-intercept
is 
So,
