Answer:
![PO=86.2\\ OM=23.8\\](https://tex.z-dn.net/?f=PO%3D86.2%5C%5C%20OM%3D23.8%5C%5C)
Step-by-step explanation:
To preface, your figure is going to be a line segment, with
as your midpoint, in between points
& ![M.](https://tex.z-dn.net/?f=M.)
With that being said:
![PO+OM=PM](https://tex.z-dn.net/?f=PO%2BOM%3DPM)
Identify your values:
![PO=7y+12\\OM=3y-8\\PM=110](https://tex.z-dn.net/?f=PO%3D7y%2B12%5C%5COM%3D3y-8%5C%5CPM%3D110)
Substitute the values into the first equation:
![7y+12+3y-8=110](https://tex.z-dn.net/?f=7y%2B12%2B3y-8%3D110)
Combine like terms:
![10y+4=110](https://tex.z-dn.net/?f=10y%2B4%3D110)
Subtract
from both sides of the equation:
![10y=106](https://tex.z-dn.net/?f=10y%3D106)
Divide by the coefficient of
, which is
:
![y=10.6](https://tex.z-dn.net/?f=y%3D10.6)
Substitute
for
in segments
&
:
![PO=7(10.6)+12](https://tex.z-dn.net/?f=PO%3D7%2810.6%29%2B12)
![OM=3(10.6)-8](https://tex.z-dn.net/?f=OM%3D3%2810.6%29-8)
![PO=74.2+12](https://tex.z-dn.net/?f=PO%3D74.2%2B12)
![OM=31.8-8](https://tex.z-dn.net/?f=OM%3D31.8-8)
Solve:
![PO=86.2](https://tex.z-dn.net/?f=PO%3D86.2)
![OM=23.8](https://tex.z-dn.net/?f=OM%3D23.8)
Check your answers by substituting:
![PO+OM=PM](https://tex.z-dn.net/?f=PO%2BOM%3DPM)
![86.2+23.8=110](https://tex.z-dn.net/?f=86.2%2B23.8%3D110)
Answer:
1/7, 3/7, 4/7, 6/7
Step-by-step explanation:
There's like denominators(bottom number) so you would list the numerators(top number) from least to greatest.
<span>2500*0.85=2125 meters</span>
Answer:
60sq ft
Step-by-step explanation:
Let x be that number:
x +10 -2 +4 + 3 - 1 - 7 +1 = 0
x +8 = 0
and x = - 8