Answer:
3) yes by AA~...
Step-by-step explanation:
ALTERNATE INTERIOR ANGLES
Answer:

Step-by-step explanation:
The circumference of a circle is given by
, where
is the radius of the circle.
What we're given:
of 31.4
Solving for
:
Answer:
All you need to do is to calculate the perimeter of the circle since you already had the diameter
Base on the picture, the perimeter should be:
C = d * π = 64 * 3.14 = 200.96 (m)
You can multiply both sides by a number that will get rid of the denominators. For ex. you can multiply the first equation by 12 because 4 and 3 both go into 12 evenly. MAKE SURE YOU MULTIPLY THE OTHER SIDE BY 12 AS WELL! Therefore, 12(x/4) - 12(y/3) = 12(1), or 3x - 4y = 12
Answer:
The three given points are the vertices of a right triangle.
Step-by-step explanation:
To determine that the three points are the vertices of a right triangle let us find the distance between each two points
The formula of the distance is
∵
= 6 and
= -6
∵
= 9 and
= -6
∴
= 
∴
= 3
∵
= 6 and
= -6
∵
= 9 and
= 1
∴
= 
∴
= 
∵
= 9 and
= 1
∵
= 9 and
= -6
∴
= 
∴
= 7
<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>
∵ The longest side is 
∵ The other two sides are 3 and 7
∵ (
)² = 58
∵ (3)² + (7)² = 9 + 49 = 58
∴ (
)² = (3)² + (7)²
- By using the fact above
∴ The triangle is a right triangle
The three given points are the vertices of a right triangle.