No other regular polygon can tessellate because of the angles of the corners of the polygons. In order to tessellate a plane, an integer number of faces have to be able to meet at a point. For regular polygons, that means that the angle of the corners of the polygon has to divide 360 degrees.
Answer:
x = - 5, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 2y = - 9 → (1)
4x - 2y = - 26 → (2)
Adding (1) and (2) term by term eliminates the y- term, that is
7x = - 35 ( divide both sides by 7 )
x = - 5
Substitute x = - 5 into either of the 2 equations and solve for y
Substituting into (1)
3(- 5) + 2y = - 9
- 15 + 2y = - 9 ( add 15 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
Answer:
Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment
In parallelogram ABCD, AC is a diagonal.
Given: 
and 
As, we know that opposite angles in parallelogram are equal.
therefore,
Now, in ΔADC
Sum of the measures of angles in a triangle is 180 degree.
Substituting the values of 
and we have;
or
Subtract 
from both sides we get
Therefore, the measure of angle CAD is 
.
Answer:
1
Step-by-step explanation:
p + 9 - 9 ÷ q - 9
p = 4 q = 3
= 4 + 9 - 9 ÷ 3 - 9
= 4 + 9 - 3 - 9
= 1
