For the top shape, x = 11, y = 10 and z = 14.
Start with the equation: 11y + 7y = 180 because those two angles are supplementary. Solving that will give you that y = 10.
The angle that is labelled 7y is therefore 70 degrees. We can write the following equation will the 5x because it is corresponding to the 70 degree angle.
5z = 70
z = 14
And we can also write and solve for the x, using the 70 degree angle.
70 + 10x = 180
10x = 110
x = 11
The rate of trip 2 is 5 km/h
The time of trip 1 is 0.9-x hours
Defining C(n,r) as the number of combinations (order does not count) to choose r objects from n, where C(n,r)=n!/(r!(n-r)!)
there are
C(58,3) ways to choose 3 from 58 republicans,
and
C(39,2) ways to choose 2 from 39 democrats.
So the committee has
(C(58,3)*(C(39,2)) variants, or
58!/(3!55!) * 39!/(2!37!)
=30856*741
=22864296
Answer:19
Step-by-step explanation:
−1+(
4
2
(6−1))(2)
=−1+2(6−1)(2)
=−1+(2)(5)(2)
=−1+(10)(2)
=−1+20
=19
