Given:
Two vectors are:


To find:
The projection of u onto v.
Solution:
Magnitude of a vector
is:

Dot product of two vector
and
is:

Formula for projection of u onto v is:




On further simplification, we get



Therefore, the projection of u onto v is
.
we know that
Vertical angles are congruent angles
that means
substitute the given values
(7x – 27)=(3x + 29)
solve for x
7x-3x=29+27
4x=56
x=14
part b)
We know that
Supplementary angles are angles that their sum is equal to 180 degrees
so
A+B=180
substitute the given values
5x+25+x+17=180
solve for x
6x+42=180
6x=180-42
6x=138
x=23
Find the measure of Angle A
Answer: 20.52
Step-by-step explanation:
Your welcome
The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards
I think it's the first one. Two units right and three units down.