Answer:
x=4
Step-by-step explanation:
We can find the length of RT by using the Pythagorean theorem
sin theta = opposite side/ hypotenuse
sin 60 = 2 sqrt(3)/ RT
Multiply each side by RT
RT sin 60 = 2 sqrt(3)
Divide by sin 60
RT = 2 sqrt(3)/ sin 60
RT = 4
Then
tan theta = opposite side/ adjacent side
tan 45 = x/RT
tan 45 = x/4
4 tan 45 = x
4 = x
Answer:
Step-by-step explanation:
In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3. Thus, the slope of the line connecting the first two points is m = 3/5.
In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5. Thus, the slope of the line connecting the first two points is m = -5/3
Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.
Answer:
This is an ellipse.
Step-by-step explanation:

Applying the angle values in intervals of right angles (90°), the resulting set of values for z are:

(again)
If you look at the plot, you will observe how these values represent points in the xy plain. All of them belong to either the x or the y axis.
The resulting figure for the whole set of values of
is in fact an ellipse.
<span>(7x+7)(x+2)
= 7x^2 + 7x + 14x + 14
= 7x^2 +21x + 14
answer
</span>7x^2 +21x + 14
3xy is the answer hope it help you