Question

What are the vaues of $x$ and $y$ if the line AB bisects the line segment PQ perpendicularly?

• A.
  $x=7,y=24$
• B.
  $x=7,y=23$
• C.
  $x=9,y=24$
• D.
  $x=9,y=23$

Answer 1

The correct option is D

$x=9,y=23$

For a perpendicular bisector,

$3x-6=21$

$3x=21+6$

$3x=27$

$x=\frac{27}{3}$

$x=9$ units

And
$(4y-2{)}^{\circ }={90}^{\circ }$

$4y=(90+2)$

$=92$

$y=\frac{92}{4}$

$y=23$