The figure below shows a parallelogram PQRS:
A parallelogram PQRS is shown with the diagonal SQ.
The flowchart shown below shows the sequence of steps to prove the theorem: Opposite angles of a parallelogram are equal:
Which is the missing statement?
Answer - Triangle PQS is congruent to triangle RSQ
Answer:
Step-by-step explanation:
![\sf -6z+(-5.5)+3.5z+5y-2.5](https://tex.z-dn.net/?f=%5Csf%20-6z%2B%28-5.5%29%2B3.5z%2B5y-2.5)
![\sf -6z-5.5+3.5z+5y-2.5](https://tex.z-dn.net/?f=%5Csf%20-6z-5.5%2B3.5z%2B5y-2.5)
![\sf -6z+3.5z+5y-5.5-2.5](https://tex.z-dn.net/?f=%5Csf%20-6z%2B3.5z%2B5y-5.5-2.5)
![\sf (-5.5-2.5)](https://tex.z-dn.net/?f=%5Csf%20%28-5.5-2.5%29)
![\sf -2.5z+5y-8](https://tex.z-dn.net/?f=%5Csf%20-2.5z%2B5y-8)
![\underline{--------------}](https://tex.z-dn.net/?f=%5Cunderline%7B--------------%7D)
Hope it helps! :)
Answer:
![32\ hair\ ties](https://tex.z-dn.net/?f=32%5C%20hair%5C%20ties)
Step-by-step explanation:
we know that
To make one hair ties is needed 3 3/8 inches of elastic
so
using proportion
Find out how many hair ties can you make with 9 feet of elastic
Remember that
![1\ ft=12\ in](https://tex.z-dn.net/?f=1%5C%20ft%3D12%5C%20in)
Convert 9 ft to inches
![9\ ft=9*12=108\ in](https://tex.z-dn.net/?f=9%5C%20ft%3D9%2A12%3D108%5C%20in)
Convert mixed number to an improper fraction
![3\frac{3}{8}\ in=\frac{3*8+3}{8}=\frac{27}{8}\ in](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B8%7D%5C%20in%3D%5Cfrac%7B3%2A8%2B3%7D%7B8%7D%3D%5Cfrac%7B27%7D%7B8%7D%5C%20in)
using proportion
![\frac{1}{(27/8)}=\frac{x}{108}\\\\x=108*8/27\\\\x=32\ hair\ ties](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%2827%2F8%29%7D%3D%5Cfrac%7Bx%7D%7B108%7D%5C%5C%5C%5Cx%3D108%2A8%2F27%5C%5C%5C%5Cx%3D32%5C%20hair%5C%20ties)
Answer:
9 cubic feet
Step-by-step explanation:
Assuming that the garden box is a rectangular prism, its volume is:
![4\dfrac{1}{2} \cdot 4 \cdot \dfrac{1}{2}=9 \text{ ft}^3](https://tex.z-dn.net/?f=4%5Cdfrac%7B1%7D%7B2%7D%20%5Ccdot%204%20%5Ccdot%20%5Cdfrac%7B1%7D%7B2%7D%3D9%20%5Ctext%7B%20ft%7D%5E3)
Hope this helps!
Answer:
C
Step-by-step explanation:
"at most" meaning less than or equal to