Answer:

Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute

(-1,0)
For x=-1, y=0
substitute

---->
----> equation A
(-2,0)
For x=-2, y=0
substitute

----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b

Find the value of a
therefore
The quadratic function in general form is equal to

see the attached figure N 2 to better understand the problem
Answer:
<em>The measure of angle J is 44°</em>
Step-by-step explanation:
<u>Isosceles Trapezoid</u>
The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.
It means: Angle J is congruent with angle K and angle M is congruent with angle L
The sum of angles in a trapezoid is 180*(4-2)=360°
Thus:


Joining like terms:

Adding 24:

Dividing by 64:
x=6°
Thus:


The measure of angle J is 44°
Let's call the midpoint of GF M.
MF = 16/2 = 8
KF = 25.89
MK = sqrt(25.89^2 - 8^2)
MK = 24.62
MKF = 8 * 24.62 / 2 = 98.48 square units for one triangle
There are 20 of those triangles that make up the decagon.
Therefore the total area = 20(98.48) = 1969.6 which would be option C