5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12
See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units
the answer part a) isBD= 8 unitsPart b) Find angle CBD
we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°
the answer Part b) is∠CBD=23 degrees
1/4 is equal to 0.25
1/10 is equal to 0.10
so no, 1/4 is not less than 1/10