Answer:
Step-by-step explanation:
This is a special right triangle that has 30, 60 and 90 degress corners. Because it is a special triangle, it also has side length values which always consistent relationship with one another.
Side opposite the 30° angle: x
Side opposite the 90° angle: 2x
So, 
Then use Pythagorean theorem. 




Answer:

Step-by-step explanation:
The given rational equation is presented here as follows;

A domain restriction are the limits to the ranges of input values (x-values) of a function
The three main types of domain restrictions are the reciprocal function, the log function, and the root function
The form of restriction in the given rational are reciprocal form, which are;
, and
, from which the function is undefined when;
2·x + 14 = 0, therefore when x = -7, or x² = 0, when x = 0
Therefore, the domain restrictions are that the function is defines for all <em>x</em>, except x = -7 and x = 0
The domain restrictions are x ≠ -7 and x ≠ 0.
9514 1404 393
Answer:
x = 50
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°.
130° + x° + 30° + 100° + x° = 360°
2x° = 100° . . . . . . . . . subtract 260° and collect terms
x = 50 . . . . . . . . divide by 2°
_____
<em>Additional comment</em>
If you reduce each side length to nothing, then you find the angles are measured around a central point. It becomes more clear that their sum is 360°.
Since Nancy wants a fence around her backyard, we are obviously talking about perimeter here.
10 + 10 + 15 + 15 = 50
The perimeter of her backyard is 50 meters
50 x 10 = 500
It would cost her $500
Answer:
If the origin point is 0,0 then the x-coordinate of D is 2.5
Step-by-step explanation: