Answer :
Answer:
[tex]3x {}^{2} = 270[/tex]
[tex]x {}^{2} = 90[/tex]
[tex]x = \sqrt{90} [/tex]
[tex]x = 3 \sqrt{10} [/tex]
A circle is 360ﾟ with the angle that they already gave you you can do 360 - 90°=270°. Now you have 3X and X you can add those to get 3x^2. Now make the equation 3X squared equals 270ﾟ. You can then divide both sides by 3 which gives you X² equals 90ﾟ. Then you must square both sides. That will now give you X equals the √90. To break it down further to its lowest form you can take 9 and 10 within the radical. Since 9 as the square root you can take it out as 3 which is why it is on the outside now leaving you with 10 still inside the radical so now your final answer will be X Equals 3√10. Either answers X equals √90 or X = 3√10 works but if you want the lowest form than X equals 3√10 is your answer it all depends on what your teacher wants.