Answer:
A
Step-by-step explanation:
Since x is along the entire parallelogram we will use cosine to figure out it's length.
First we do cos(40) and get cos(40)=.7660
This .7660 is equal to 
or 
So we do .7660*4 and get 3.064 in for x
A is the only option with x=3.06 so it is the correct answer
Answer: d. mutually exclusive
Step-by-step explanation:
Mutually exclusive events are those events that cannot happen at the same time. If one event happens, the other has a zero chance of happening at the same time.
Event A and Event B here are Mutually Exclusive because you cannot turn left and right at the same time. If you listen to your brother and turn left, you cannot also listen to your sister and turn right at the same time.
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
------ --------------------------
5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
