Answer:
3
Step-by-step explanation: if he has 2 rows of four on each page and 13 pages 8 * 13 is 104 and 107 - 104 is 3
Answer:
I'm not sure about "11" but 12. is "by the definition of right angles", and 16. is "by the SAS(side angle side) congruency theorem"
We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
If you want to learn more, you can read:
brainly.com/question/13322477
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X =
=
=
, then
∠ X =
(
) ≈ 44° ( to the nearest degree ) → A