Answer:
AB=12 BC=9
Step-by-step explanation:
Any side of a triangle must be shorter than the other two sides added together.
AB and A'B' must measure LESS than the other 2 sides
15 is 3/4 of 20
12 is 3/4 0f 9
20/15 12/9 = 1.3333333........
Answer:
A
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (2,1)(2,1)
Focus: (2,54)(2,54)
Axis of Symmetry: x=2
Hope it helped :)
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
Answer:
a+b=5/2a, a+b=5/3b
Step-by-step explanation:
1.2a=0.8b
6/5a=4/5b
6a=4b
b=3/2a, a=2/3b
a+b=3/2a+a
a+b=5/2a
a+b=2/3b+b=5/3b
For this case we have that by definition, the area of a triangle is given by:
Where:
h: It's the height of the triangle
b: It is the base of the triangle.
They tell us that the height of the triangle is 3 units more than the base. That means that if the base is "b" then the height is "b + 3". So, the area is:
ANswer:
Option C
