Y=4 on the first one
A=92 on the second one
Let x be the time she ran and y be the time she walked
then distance ran = 25x and distance walked = 5y
so 15x + 5y = 42
and x + y = 4
* second equn. by -5:-
-5x - 5y = -20
add this to the first equn:0
10x = 22
x = 2.2
distance she ran = 2.2 * 15 = 33 km
Take the cross product of both sides of

with

to generate a system of three simultaneous equations.



since

for any vector

.
Finally, use the fact that the cross product is anticommutative, i.e.

. The conclusion follows.
If two angles are complementary, then the sum of their measures is 90
If the sum of their measures is 90, then the two angles are complementary.