Answer:
d
Step-by-step explanation:
the angle measures in all equilateral triangles are the same
so divide 180 by 3 and you get 60
Answer:
43°
Step-by-step explanation:
The sum of all internal/interior angles of a triangle is always equal to 180°
Because of this, if the missing angle is x we can write the equation:
82°+55°+x=180° since the interior angles are given
Add like terms:
⇒ 137°+x=180°
Subtract 137:
⇒ x=43°
Answer: Focus = (-2, 3)
<u>Step-by-step explanation:</u>
First let's find the vertex. We do that by finding the Axis-Of-Symmetry:
Then finding the maximum by inputting x = -2 into the given equation:
The vertex is: (-2, 4)
Now let's find p, which is the distance from the vertex to the focus:
The vertex is (-2, 4) and p = -1
The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)
Answer:
150.72
Step-by-step explanation: To do this you times the radius by squared then by pi, then fraction your height by the fraction 1/3.
Step-by-step explanation:
1. y=(x-2)²-9
Using Formula (a-b)²=a²-2ab=b²
y=(x²-4x+4)-9
y=x²-4x-5
Using Mid term Break
y=x²-5x+x-5
y=x(x-5)+1 (x-5)
y=(x+1)(x-5)
2. y= -(x-5)²+16
Using the same formula as above
y= -(x²-10x+25)+16
y= -x²+10x-25+16
y= -x²+10x -9
Taking (-) as Common
y= -(x²-10x+9)
y= -(x²-9x-x+9)
y= -[x(x-9)-1(x-9)]
y= -(x-1)(x-9)
