Hope this helps you...!!!
Answer:
AB = 9/2 cm
AB = 4.5 cm
Step-by-step explanation:
The area of small rectangle
x * (x-4) = x^2 -4x
The area of the big rectangle
The height is 2x +x and the width is x-2
(2x+x) * (x-2)
(3x) * (x-2)
3x^2 -6x
Add the areas together
x^2 -4x + 3x^2 -6x
4x^2 -10x
This is equal to 36
4x^2 -10x=36
Subtract 36 from each side
4x^2 -10x -36=36-36
4x^2 -10x-36=0
Divide each side by 2
2x^2 -5x -18=0
Factor
(x + 2) (2 x - 9) = 0
Using the zero product property
x+2=0 2x-9=0
x = -2 2x =9
x = -2 x = 9/2
Since we cant have a negative length
x = 9/2
AB = 9/2 cm
Where are the statements at?
Answer:
a = 7.4
b = 9.6
Step-by-step explanation:
set up a proportion to find 'b':
XN / NY = MN / NO
8/b = 13/(b+6)
cross-multiply:
13b = 8(b+6)
13b = 8b + 48
5b = 48
b = 9.6
set up a proportion to find 'a':
XN / XY = MN / MO
8/a = 13/12
cross-multiply:
13a = 96
a ≈ 7.4
