10 : 6
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
So, add 34+68+14+19 to equal 135. Then divide by 9 to equal 15.
1.
Since ABCD is a rectangle, then
angleABE = 90 degrees
angle ABE + angle BEA + 41 = 180
Substitute the known and solve for angle BEA
angle BEA + 41 = 90
angle BEA = 49 degrees
But,
x + angleBEA + 61 = 180 (angles in a straight line)
x = 180 - 61 - 49
x = 70 degrees
2.
triangle XYZ is equilateral, meaning all angles in it are the same, each 60 degrees.
Therefore,
Angle YZX = 60
But Angle YZX = x + 32 (exterior angles equal to the sum of the two opposite interior angles)
60 = x + 32
Therefore,
x = 28 degrees
3.
Angle QPR = Angle QRP (equal oppo sides, equal opposite angles)
Therefore, 2angleQRP + 64 = 180 (angle sum of a triangle)
Angle QRP = 58 degrees
But angle QRP = x + 35 (exterior angles equal to the sum of the two opposite interior angles)
58 = x + 35
x = 23 degrees
we have
Since the leading coefficient is negative, the function has a maximum
Let
y=f(x)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
therefore
<u>the answer is the option </u>
A. Maximum at (1, 1)