Factors: 1, 2, 4, 5, 8, 10, 20, 40
Answer:
C
Step-by-step explanation:
This question can simply be answered by the process of elimination. All of the other answers have numbers behind the first number of the decimal. when you are rounding to the nearest tenth, you will have no numbers behind the decimal except 1. They will look like this:
11.70
23.30
45.60
So, since we are looking for the nearest tenth, we would choose C because it is the only one that is rounded.
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.
Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.
The answer is: ∠1 and ∠3 are congruent (See the image attached).