Answer:
D=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
vertical angles are congruent , so
∠ A = ∠ B , that is
5x - 1 = 4x + 4 ( subtract 4x from both sides )
x - 1 = 4 ( add 1 to both sides )
x = 5
1. You would do 45 × 3 = 135 miles
2. 630 ÷ 2 = 315. 630 + 315 = 945 miles
3. 54 × 11 = 594 miles
1. Time is distance ÷ speed, so 4760 ÷ 560 = 8 1/2hours
2. 27 ÷ 54 = 0.5 hours, or 30 minutes
3. 1748 ÷ 437 = 4 hours
I hope this helps!
Answer:

Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if
. Recall that given two vectors a,b a⊥ b if and only if
where
is the dot product defined in
. Suposse that
. We want to find γ such that
. Given that the dot product can be distributed and that it is linear, the following equation is obtained

Recall that
are both real numbers, so by solving the value of γ, we get that

By construction, this γ is unique if
, since if there was a
such that
, then

We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi
if 2pi radians in a circle unit has a length of ------------> 2*pi
2pi/3 radians----------------------------> X
X=2pi/3
the answer is 2pi/3