Answer:
Step-by-step explanation:
The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance). A property of circles is: a tangent is perpendicular to the radius drawn to the point of tangency.
In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.
Apply the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2
Oh, and the diameter has length 2x!

Answer:
Step-by-step explanation:
m = 5 ; (3, -4)
y - y₁ = m (x - x₁)
y - [-4] = 5 (x - 3)
y + 4 = 5x - 15
y = 5x - 15 - 4
y = 5x - 19
The 30/60/90 right triangle is the biggest cliche in trig. We recall the sides come in ratio 

First x:


Next y:


Choice C
Answer: 829.44 ft²
Step-by-step explanation:
Correction - The walkway is 31.2 feet wide.
To solve this, first find the area of the fountain:
Area of a square = Length * Width
= 12 * 12
= 144 ft²
The find the area of the walkway including the fountain:
= 31.2 * 31.2
= 973.44 ft²
To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:
= 973.44 - 144
= 829.44 ft²
Step 1) Multiply 2 by 3
<em>5x+6 = 2x+3x+6</em>
Step 2) Combine like terms
<em>5x+6 = 5x+6</em>
Step 3) Add 5x and 6 to both sides
Answer:
<em>0 = 0</em>