Proper fraction:
22 1⁄5
Improper fraction:
111⁄5
So
represent x for number of $14 movie tickets she got
y is number of $12 movie tickets
total of 9 tickets
x+y=9
total value is 114
14x+12y=114
we have
x+y=9
14x+12y=114
solve
multiply first equation by -12 and addd to oth equesiton
-12x-12y=-108
14x+12y=114 +
2x+0y=6
2x=6
divide 2
x=3
sub back
x+y=9
3+y=9
minus 3
y=6
3 of the $14 tickets
6 of the $12 tickets
Answer:
Step-by-step explanation:
All inscribed angles intercepting the same arc have the same measure.
If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:
y = 65°.
The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.
x = 130°.
