Intro Geometry Terms + Algebra Review

Solve the system of equations for x and y. 

Select the correct name(s) of the RAY shown

Given:  $\overline{YS}\cong\overline{XT}$  ,   $\overline{YT}\cong\overline{XS}$    $XT=2r+13$   $XS=3m+7$  , $YS=r+9$  , $YT=9m+3$  

r = (a)  

 $2\left(x-6\right)=\frac{3}{2}\left(8+4x\right)$  

x = (a)  

Given  $RO$   bisects  $\angle NRP$  .  Which of the following must be true?

Which of the following is NOT a name for the angle shown?

 $\frac{x+4}{3}=\frac{2x+1}{9}$  

Solve for x.

(a)  

The perimeter of rectangle ABCD is 66 and  $\overline{CB}$  is twice as long as  $\overline{CD}$  .  How long is  $\overline{AD}$  ?

(a)  

Given  $m\angle ABX=3x-5$   and  $m\angle XBC=x+27$  . Additionally,  $\overrightarrow{BX}$   bisects  $\angle ABC$  .

Solve the system of equations for x and y. Write your solution as a coordinate point.

 $3x-5y=10$  

 $2x+3y=13$  

(a)