How do you do this? Please help

Question

asked May 2, 2021 223k views

1 Answer

Pablobm · Answer 1 · 2021-05-08T01:44:41+0000

Answer:

$PO=86.2\\ OM=23.8\\$

Explanation:

To preface, your figure is going to be a line segment, with
as your midpoint, in between points
&

With that being said:

PO+OM=PM

Identify your values:

$PO=7y+12\\OM=3y-8\\PM=110$

Substitute the values into the first equation:

7y+12+3y-8=110

Combine like terms:

10y+4=110

Subtract
from both sides of the equation:

10y=106

Divide by the coefficient of
, which is
:

y=10.6

Substitute
10.6 for
in segments
&
:

PO=7(10.6)+12

OM=3(10.6)-8

PO=74.2+12

OM=31.8-8

Solve:

PO=86.2

OM=23.8

Check your answers by substituting:

PO+OM=PM

86.2+23.8=110