Answer: <B is congruent to <E
Step-by-step explanation:
There is no “angle,angle,angle” theorem when proving triangles are congruent.
There are 5 however that do:
ASA (angle, included side, angle)
SSS (side, side, side)
SAS (side, included angle, side)
AAS (angle,angle, non included side)
HL (hypotenuse,leg)
From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm
Equation of the line in point slope form is y + 3 = -1/2(x - 7)
Step-by-step explanation:
- Step 1: Given slope of the line is -1/2 and passes through the point (x1, y1) = (7, -3). Equation in point slope form is y - y1 = m(x - x1)
⇒ y - (-3) = -1/2(x - 7)
⇒ y + 3 = -1/2(x - 7)
The answer is B) 2/13.
An easy way to figure this out is to find what the unsimplified probability would be:
Since there are 8 kings and queens in total, the number is:
8/52
But, since these are both even numbers, they can be simplified.
1/4 x 8 = 2
1/4 x 52 = 13
2/13
Since 13 is a prime number, the answer cannot be simplified anymore.
The answer to you question is c