Answer:
<u>-</u><u>5</u><u>g</u><u>(</u><u>4</u><u>)</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>is</u><u> </u><u>9</u>
Step-by-step explanation:

when x is 4:

therefore:

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.
A rhombus is a square but turned so it looks like a diamond. This means all the sides are equal. With this information we can build an equation to solve for x.
3x - 10 = 6x - 19
1) Subtract 3x from both sides.
-10 = 3x - 19
2) Add 19 to both sides.
9 = 3x
3) Divide both sides by 3.
3 = x
x =3.