Answer:
270 Degree Rotation
Step-by-step explanation:
When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.
The sum of interior angles of a pentagon is given by:
(n-2)*180
where
n=number of sides
thus the sum of angles in a pentagon will be:
(5-2)*180
=540
hence to evaluate the missing angles we shall proceed as follows:
sum of the given angles is:
63+119+125+116
=423
thus the missing angle, x, will be:
x+423=540
x=540-423
x=117°
When you add polynomials of different degrees, it is not adding up the degrees, in special cases this may end up with smaller degree polynomials.
When you multiply polynomials of different degrees, it adds up the degrees, and the final polynomial is off the higher degree.
<u>The answers:</u>
- a) False, degrees not added,
- b) False, degrees added but not multiplied.
Using the elimination method
2(6x - 4y = - 24)
4x - 8y = -32
==>12x - 8y = -48
4x - 8y = -32
subtract top to bottom
==>8x = -16
4x - 8y = -32
==>x = -2
4(-2) - 8y = -32
==>x=2
-8y = -32 + 8
==>x = -2
-8y = -24
==>x=-2
y = 3