Answer:
6
-7
Step-by-step explanation:
simplyifying this we get
1+5i-8+i
= 6i-7
I am assuming the i you are talking about here is the sqrt of negative one so that would be 6
-7
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).
The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).
We can use the law of sines to solve this where:
sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches
We are told 1 in = 10.6 miles, therefore:
3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3>
The missing figure is attached.</h3>
Since the figure is a rectangle, you know that:

Notice that the segment YV divides the rectangle into two equal Right triangles.
Knowing the above, you can use the following Trigonometric Identity:

You can identify that:

Therefore, in order to find the length of the segment YX, you must substitute values into
and then you must solve for YX.
You get that this is:

It would be: 6 ( 6- 4)
= 6 ( 2)
= 12
So, Your Answer would be 12
Hope this helps!