Answer:
z = 5/2y -1
Step-by-step explanation:
We observe that z has ...
- 1 added
- the sum multiplied by 2/5
To solve for z, we undo these operations in reverse order.
Answer:
x = 65
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
^ ( Note that we just created an equation that we can use
to solve for x )
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side
15 - 15 cancels out
145 - 15 = 130
we now have 130 = 2x
step 2 divide each side by 2
130 / 2 = 65
2x / 2 = x
we're left with x = 65
Answer:
Option B is correct
the degree of rotation is, 
Step-by-step explanation:
A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.
To find the degree of rotation using a standard rotation matrix i.e,
Given the matrix: 
Now, equate the given matrix with standard matrix we have;
=
On comparing we get;
and 
As,we know:
we get;
and
we get;
Therefore, the degree of rotation is,
Answer:
D. 16,384
Step-by-step explanation:
The given sequence (including "6") is neither arithmetic nor geometric. The 14th term cannot be predicted. (It can be anything you like.)
__
Based on the answer choices, we assume the intended sequence is the geometric sequence ...
2, 4, 8, 16, 32, ...
which has formula ...
an = 2^n
Then the 14th term is ...
a14 = 2^14 = 16,384
When both are added together they equal 180
