Tessellation is the arrangement of congruent shapes, with no gaps and overlaps. The tessellation artwork (Picture 1) used equilateral triangles, distinguished by two designs.
An equilateral triangle has equal angles which measures 60 degrees. Hence, in this tessellation, the vertex (point where the triangles meet), total angle is 360 degrees. See picture 2 for proof.
(
)we need 3 equations
1. midpoint equation which is (
) when you have 2 points
2. distance formula which is D=
3. area of trapezoid formula whhic is (b1+b2) times 1/2 times height
so
x is midpoint of B and C
B=11,10
c=19,6
x1=11
y1=10
x2=19
y2=6
midpoint=(
)
midpoint=(
)
midpoint= (15,8)
point x=(15,8)
y is midpoint of A and D
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
midpoint=(
)
midpoint=(
)
midpoint=(13,4)
Y=(13,4)
legnths of BC and XY
B=(11,10)
C=(19,6)
x1=11
y1=10
x2=19
y2=6
D=
D=
D=
D=
D=
BC=
X=15,8
Y=(13,4)
x1=15
y1=8
x2=13
y2=4
D=
D=
D=
D=
D=
XY=
the thingummy is a trapezoid
we need to find AD and BC and XY
we already know that BC=
and XY=
AD distance
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
D=
D=
D=
D=
D=
AD=
so we have
AD=
BC=
XY=
AD and BC are base1 and base 2
XY=height
so
(b1+b2) times 1/2 times height
(
) times 1/2 times
=
(
) times \sqrt{5} [/tex] =
=
=80
=252.982
X=(15,8)
Y=(13,4)
BC=
XY=
Area=80
square unit or 252.982 square units
Answer:
x ≤ 3
Step-by-step explanation:
Given
2(4 + 2x) ≥ 5x + 5 ← distribute parenthesis on left side
8 + 4x ≥ 5x + 5 ( subtract 4x from both sides )
8 ≥ x + 5 ( subtract 5 from both sides )
3 ≥ x , hence
x ≤ 3
A student ticket cost $4 which is half the price of a full price ticket
Answer:
29.7 for question 14
15a is 12.1
15b is 14
Step-by-step explanation:
In a 45 45 90 triangle, the legs are congruent, or the same length.
If we call the legs a, then the hypotenuse would be root 2 a.
So if the hypotenuse is 42, we divide by root 2 to get the length of each leg.
That should give us 29.7
In a 30, 60, 90 triangle, the short side is a, then the hypotenuse is 2a, and the longer side is a root 3.
So if the shorter side is 7, the longer side is 12.1, and the hypotenuse is 14.