Yes it is possible to prove this is a parallelogram.
XN = NZ means the diagonal XZ has been bisected
The same goes for diagonal WY (because NY = NW)
Furthermore, we have the pair of vertical angles XNY and ZNW which are congruent
Through SAS, we can say that triangles XNY and ZNW are congruent
Using CPCTC, we can get to the fact that angle NWZ = angle NYX which are alternate interior angles leading to proving that XY || WZ
----------------------
If you repeat those steps above, but focus on triangles WNX and YNZ, we can prove that XW || YZ
----------------------
After proving that XY || WZ and XW || YZ, this is enough to prove we have a parallelogram as the opposite sides are parallel.
Answer: 84
Step-by-step explanation: 7 Times 12 because each foot is 12 inches
8f+37 is the answer to check:
4 times 8 is 32 + 4 times 2f is 8f..........then 32+8f+5 to 8f + 37 is your answer
x = 14
Explanation:
height = x
base 1 = 98
base 2 = 2
Using altitude formula in geometric mean:
base 1/height = height/base 2
98/x = x/2
![\begin{gathered} 196=x^2 \\ \text{square root both sides:} \\ \sqrt[]{196}\text{ = }\sqrt[]{x^2} \\ x\text{ = }\sqrt[]{196} \\ x\text{ = 14} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20196%3Dx%5E2%20%5C%5C%20%5Ctext%7Bsquare%20root%20both%20sides%3A%7D%20%5C%5C%20%5Csqrt%5B%5D%7B196%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7Bx%5E2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B196%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2014%7D%20%5Cend%7Bgathered%7D)
