For 2, AB is parallel to CD as AD is also parallel to BC
For 3, you can also say AD is parallel to BC
For the first three questions
5/12 = 35/N
Rearrange: N = 35 / (5/12) = ( 35 / 0.4167 ) = N = 83.99
7/18 = N / 9
Rearrange: N = (7/18)* 9 = 3.5
(2/5) * 240 = 96
He spent $96 on supplies
Your answer would be 135.
This is because angles on a straight line add up to 180°, and so we need to subtract 45 from 180, which gives us 135.
I hope this helps!
Answer:
The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.
Two lines are parallel if, at any point, the distance between these two lines is always the same.
Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)
Thus, these lines are not parallel.
Then the corresponding angles theorem can not be used here, and we have that:
∠9 ≠ ∠10