In the given figure, Angle 23x and Angle 24x - 5 are equal because they form pair of Alternate Interior Angles.
So,
value of x = 5,
now, measure of each angle = 23x = 23 × 5 = 115°
Answer
x=-5
and
x=1
Explanation
The equation y = 2(x+2)^2 - 18 corresponds to a translation 2 units left and 18 units down, and a and a shrinkage about the x-axis with factor 2.
Making these transformations to y=x^2, we have:




Factoring:


The x-intercept are found when y=0, that is:

and
Answer:
Equation of the parabola is 
Step-by-step explanation:
We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.
As vertex is (-4,-3) that means parabola is in third quadrant.
So the standard formula of the parabola will be y²= -4px through origin (0,0).
But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)

.
Number of raptors in 2015: 234
% success: between 35% and 40%
Formula
% =: [number of success rescues / number of total rescues] * 100 =>
number of success rescues = % * number of total rescuess / 100
Number of success rescues:
a) 35 * 234 / 100 = 0.35 * 234 = 81.9
b) 40 * 234 / 100 = 0.40 * 234 = 93.6
Then, the number of raptor rescues that were succesfull was about 82 to 94.