Question

If RO= 6+x and OQ=2x+1 find the value of X and RO OQ RQ

Answer 1

Answer: x= 5 units

RO = 11 units

OQ=11 units

RQ = 22 units

Explanation:

From the given picture , it can be observe that RQ is a line segment .

Also, point O is the midpoint of line segment RQ.

i.e
`RO=OQ`

If
`RO= 6+x` and
`OQ=2x+1` , then we have

`6+x=2x+1`

Subtract x and 1 from both sides , we get

`6+x-x-1=2x+1-x-1\\\\\Rightarrow\ 5=x`

OR we can write
`x= 5`

Hence, the value of x = 5

The value of
`RO= 6+5=11` units

The value of
`OQ=2(5)+1=10+1=11` units

And the value of RQ=
`RO+OQ=11+11=22` units

Answer 2

if you wonder what those tiny lines are on the lines, those are just tickmarks, and they're just saying that RO = OQ, and NO = OP.

we know RO = 6+x, and that OQ = 2x + 1, then 6+x = 2x+1, that simply leaves us with 5 = x.

RO = 6 + 5 = 11.....................OQ = 2(5) + 1 = 11, they're twins anyway, and RQ is simply 11 + 11 = 22.