Question

Solve for x; Then find the length of PM AND OM

Answer 1

`x=12`, PM = 27, OM = 54

Explanation:

To find x, we can notice that MP is similar to OP. Therefore, we can create an equation:

`2x+3=4x-21`

`2x-4x=-21-3`

`-2x=-24`

`x=12`

To solve for PM, we can plug in x from
`2x+3`:

`2(12)+3`

= 27

To solve for OM, we will need to add OP and PM values and plug in x:

`4x-21+2x+3`

Plug in x:

`4(12)-21+2(12)+3`

= 54