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

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jdoe0001 jdoe0001 · Answer 1 · 2018-08-23T00:36:46+02:00

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.

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JeanaShupp JeanaShupp · Answer 2 · 2019-09-24T05:19:27+02:00

Answer: x= 5 units

RO = 11 units

OQ=11 units

RQ = 22 units

Step-by-step 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 [tex]RO=OQ[/tex]

If [tex]RO= 6+x[/tex] and [tex]OQ=2x+1[/tex] , then we have

[tex]6+x=2x+1[/tex]

Subtract x and 1 from both sides , we get

[tex]6+x-x-1=2x+1-x-1\\\\\Rightarrow\ 5=x[/tex]

OR we can write [tex]x= 5[/tex]

Hence, the value of x = 5

The value of [tex]RO= 6+5=11[/tex] units

The value of [tex]OQ=2(5)+1=10+1=11[/tex] units

And the value of RQ= [tex]RO+OQ=11+11=22[/tex] units