Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.
Answer:
The lateral area of the figure = 480 m²
The surface area = 720 m²
Step-by-step explanation:
By definition, we have;
The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid
The surface area is the area of the entire surface = Lateral area + The other surface areas of the object
For a pyramid, the surface area = Lateral area + Area of base
The figure in the question is a pentagon based pyramid with five triangles on the sides
The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height
The lateral area of the figure = 5 × 12 × 8 = 480 m²
The lateral area of the figure = 480 m²
The surface area = Area of the base + Lateral surface area
Area of the regular pentagon base = 1/2 × Perimeter of the pentagon × Apothem
Perimeter of the pentagon = 5 × 12 = 60 m
Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m
∴ Area of the regular pentagon base = 1/2 × 60 × 8 = 240 m²
∴ The surface area = 240 +480 =720 m²
The surface area = 720 m²
Answer:
#1
#2
#4
Step-by-step explanation:
even numbers are 3
3/6=1/2
1/2=1/2
1 or 5=2 numbers
2/6=1/3
1/3=1/3
numbers < 3 are 1 and 2
2 numbers
2/6=1/3
1/3 does not =1/2
2 or odd numbers are 2,1,3,5
4/6=2/3
2/3=2/3
Parallelogram so opposite sites are parallel
then
<1 = 113
<2 = 45
<3 = 22
hope it helps
Answer:
x = 77°
Step-by-step explanation:
105° + x - 2 = 180°
103° + x = 180°
x = 77°
x - 2° would be the angle next to 100° because thy are corresponding.
Since in a line there is 180°, 105° + x - 2° is 180°
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-Chetan K
