m_6 + m_8 = 180º because they form a straight line.
So, (2x-5) + (x+5) = 180
3x = 180
x = 60
So, m_115º (2•60 - 5 = 115)
Also, because the two lines are parallel m_6 = m_3 by alternate interior angles.
So, m_3 = 115º
Answer:
12 vans
7 Buses
Step-by-step explanation:
I tried multiple versions but I finally got it right.
Since the buses can hold 25 students at a time I multiplied it by 7.
7 x 25 = 175
Then you'll need to find the remainder.
259-175 = 84
This number would be used to find the students going in the van
84/7= 12
So in total there would be 12 vans
and 7 buses
I hope this helps
Answer:
9^4 is what you’re looking for right?
Step-by-step explanation:
Given:
cos 120°
To find:
The exact value of cos 120° in simplest form with a rational denominator.
Solution:
We have,

It can be written as

![[\because \cos (90^\circ-\theta)=-\sin \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%2890%5E%5Ccirc-%5Ctheta%29%3D-%5Csin%20%5Ctheta%5D)
![[\because \sin 30^\circ=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%2030%5E%5Ccirc%3D%5Cdfrac%7B1%7D%7B2%7D%5D)

Therefore, the exact value of cos 120° is
.