BD is half the length of AD ( 18 is half of 36)
BE would be half of EC
EC = 42, so BE would be 42/2 = 21
a = 21
The work is shown above. The answers are 1.5, .42, and .86 respectively.
For this case we have the following equations:
y = 60x + 40
y = 50x + 80
Equaling both equations we have:
60x + 40 = 50x + 80
From here, we clear the value of x:
60x - 50x = 80 - 40
10x = 40
x = 40/10
x = 4 weeks
Substituting x = 4 in any of the equations we have:
y = 60 (4) + 40
y = 240 + 40
y = 280 $
Answer:
$ 280 4 weeks
Because PQRS is a parallelogram, you know that
![2x-1=y-1](https://tex.z-dn.net/?f=2x-1%3Dy-1)
and
![3y-11=x+4](https://tex.z-dn.net/?f=3y-11%3Dx%2B4)
. (This is because PT and TR are congruent, and the same goes for ST and TQ.)
Writing the equations in standard form, you have
![\begin{cases}2x-y=0\\x-3y=-15\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D2x-y%3D0%5C%5Cx-3y%3D-15%5Cend%7Bcases%7D)
Solving this system gives
![x=3](https://tex.z-dn.net/?f=x%3D3)
and
![y=6](https://tex.z-dn.net/?f=y%3D6)
. So,
![PT=TR=5](https://tex.z-dn.net/?f=PT%3DTR%3D5)