I can post my solution, though I do not know if is correct.... I got area = 32/3 ??
Inside the triangle angle D and C are equal 28 + 2x = 180 x = 76o
The two angle at D sum to a straight line 76 + x = 180 x = 104o
angle D = angle A = 104o
834 represents 2/3 of the total students at the school
2/3 t = 834 multiply both sides by 3/2
t = 1251
A right triangle with a 45 degree angle has ANOTHER 45 degree angle...so two sides are the same length
Pythag theorem
x^2 + x^2 = (6 sqrt2)^2
2 x^2 = 72
x = 6 = side length area = 1/2 b h = 1/2 (6 x 6) = 18 in 2
I think the picture is skewed a bit....I will assume the figures are rectangles
area of larger rectangle - area of smaller rectangle = shaded region
(3x+2)(5x) - (5x-2)(x) = shaded area
15x^2 + 10x - 5x^2 + 2x
10x^2 + 12x = shaded area
https://web2.0calc.com/questions/plz-help-asap_52#r1
Cut it into 3 triangles and a rectangle and add them together
triangle area = 1/2 b h
three triangles 1) 4 x 3 2) 4 x 3 3) 8 x 2
rectangle 3 x 8
Is there any way to avoid sideways images?
Vertex -1,8 point -3,0
Vertex form of parabola y = a(x+1)^2 + 8 sub in point to calc 'a'
0 = a(-3+1)^2 + 8 a = -2
y = -2 (x+1)^2 + 8
1.25 (x- 1/x) = (x + 1/x) in ratio 5:4 one side is 1.25 the other 1.25*4 = 5
x - 1/x = 1.25x + 1.25/x
.25x = 2.25/x
.25x^2 = 2.25
.5x = 1.5
x = 3