4 and 8 are corresponding angles.
The easiest way to tell is to look at the two groupings: 1, 2, 3, 4 and 5, 6, 7, 8. 4 and 8 are in the same position in both groupings (bottom right corner). This makes them corresponding.
Adjacent angles would have a common side and vertex. This would be like 4 and 2 or 1 and 3 or 5 and 7 or 8 and 6.
Alternate interior angles would be opposite angles inside the parallel lines. This would be like 4 and 5 or 3 and 6.
Alternate exterior angles would be opposite angles outside the parallel lines. This would be like 2 and 7 or 8 and 1.
Answer:
5/6 or 4/6
Step-by-step explanation:
6-2=
4/6 -with out two
5/6 -including two
9.4 Ft for the first one
7.5 Ft for the second piece
12 Ft for the Third
he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use.
Answer:
u * v = 39 ⇒ 2nd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- u and v are two vectors
- u * v means the scalar product of the two vectors
- The scalar product is a way of multiplying vectors
- The result of a scalar product is always a number not a vector
- Ex: If u = ai + bj ⇒ <a , b> and v = ci + dj ⇒ <c , d> then the scalar
product of them is ac + bd where ac + bd is a number
* Lets solve the problem
∵ Vector u = 13j ⇒ <0 , 13>
∵ Vector v = i + 3j ⇒ <1 , 3>
- Lets find the scalar product
∴ u * v = (0)(1) + (13)(3)
∴ u * v = 0 + 39
∴ u * v = 39
Answer: The first thing we need to do is find the slope--the rise over run. We can find it by using the formula:
(y2 - y1) / (x2 - x1), that is we subtract the x an y values of our two points and then divide:
(-4 - -10) / (9 - 9)
(-4 + 10) / (9 - 9)
6 / 0
We cannot divide by 0. Our slope is essentially infinity, or a straight line up and down. This means we take a look at the x-coordinate: 9. This means our equation is:
x = 9
because no matter what we use for y, x will always stay at 9
Step-by-step explanation:
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